question paper for class 10

Rise Academy, PVT. LTDHead Office : 607/608-A,

Talwandi Kota (Raj.)

COURSE : GENESIS

Sample Test Papers

SAMPLE TEST PAPERACADEMIC SESSION : 2012-13

PagesSAMPLE TEST PAPER-1 01 – 10

SAMPLE TEST PAPER-2 11 – 22




CONTENTS

Rise Academy, PVT. LTDHead Office : 607/608-A, Talwandi Kota (Raj.)

ACADEMIC SESSION 2012-13

Rise Academy, PVT. Ltd., (Head Office) : 607/608-A, Talwandi KOTA (Raj.) -324005 1

SAMPLE TEST PAPER-11. Light year is a unit of

(A) time (B) distance (C) temperature(D) massi zdk' k o"kZ fuEu esa l s fd l dh bdkbZ gS &(A) l e; (B) nwj h (C) r ki (D) nzO; eku

2. A body of mass 20 kg falls through a height of 50 cm. What is the kinetic energy when it strikes the earth? [ g = 10 m/sec2 ](A) 100 J (B) 400 J (C) 980 J (D) 4900 J, d oLr q ft l dk nzO; eku 20 kg gS ml s 50 cm dh Å¡pkbZ l s fxj k; k t kr k gS r ks i Foh dh l r g l s Vdj kus i j oLr q dhxfr t Åt kZ gksxh [ g = 10 m/sec2 ](A) 100 J (B) 400 J (C) 980 J (D) 4900 J; fn i Foh ds d{kd dh f=kT; k nqxquh gks t k; s r ks , d o"kZ dk dky yxHkx gks t k; sxk :

(A) 930 2 fnu (B) 365 fnu (C) 2

365 fnu (D) buesa l s dksbZ ugha

3. If the radius of orbit of earth is doubled, the duration of a year will be nearly :; fn i Foh ds d{kd dh f=kT; k nqxquh gks t k; s r ks , d o"kZ dk dky yxHkx gks t k; sxk :

(A) 930 2 days (B) 365 days (C) 2

365 days (D) none of these

(A) 930 2 fnu (B) 365 fnu (C) 2

365 fnu (D) buesa l s dksbZ ugha

4. The position-time graph for two objects A and B is shown in figurefn; s gq, fLFkfr &l e; xzkQ ds fy , fuEu esa l s dkSul k dFku l R; gS(A) both have same velocities

nksuksa l eku osx j [ kr s gSa(B) velocity of A is greater than that of B

A dk osx B ds osx l s vf/kd gS(C) velocity of B is greater than that of A

B dk osx A ds osx l s vf/kd gS(D) initially velocity of A is greater and after some time velocity of B is greater

i zkj EHk esa A dk osx vf/kd gS ckn esa B dk osx vf/kd gS

5. The displacement time graph for an object is shown in figure . Which one of thefollowing will correspond to the velocity time graph -, d oLr q dk foLFkki u dky oØ fp=k esa n' kkZ; k x; k gS r ks bl ds l axr osx l e; oØ Kkr d j sa:

(A) (B) (C) (D)

6. In the nuclear reaction , fn, x; s ukfHkdh; vfHkfØ; k ]

92U239 93Np239 + X , X stands for a/an : 92U

239 93Np239 + X esa X dk eku gksxk(A) electron (B) proton (C) neutron (D) duetron(A) bysDVªkWu (B) i zksVku (C) U; wVªkWu (D) M~; wVªkWu



7. Area under the velocity time graph indicates osx dky oØ dk {ks=kQy cr kr k gS -(A) velocity (B) displacement (C) acceleration (D) speed(A) osx (B) foLFkki u (C) Roj .k (D) pky

8. Rocket works on the principle of conservation of :j kWdsV fuEu esa l s fd l l aj {k.k fl ) kUr i j vk/kkfj r gS :(A) mass (B) energy (C) linear momentum (D) angular momentum(A) nzO; eku (B) Åt kZ (C) j s[ kh; l aosx (D) dks.kh; l aosx

9. Swimming is possible on account of - r Sj uk fd l fu; e dk i kyu d j r k gS -(A) first law of motion xfr dk i zFke fu; e (B) second law of motion xfr dk f} r h; fu; e(C) third law of motion xfr dk r r h; fu; e (D) Newton's law of gravitation U; wVu dk xq: Roh; fu; e

10. A force F is applied on a body and it moves with a velocity v . The power will be :, d fi .M i j fu; r cy yxk; k t kr k gS vkSj ; g fi .M v osx l s xfr eku gS r ks ' kfDr gksxk -(A) Fv2 (B) F/v (C) F/v2 (D) Fv

11. Newton's second law gives the measure of - U; wVu dk f} r h; fu; e cr kr k gS -(A) acceleration (B) force (C) momentum (D) angular momentum(A) Roj .k (B) cy (C) l aosx (D) dks.kh; l aosx

12. When the temperature of a gas increases the kinetic energy of the moleculest c xSl ds r ki esa of) gksr h gS r ks v.kqvksa dh xfr t Åt kZ %(A) increases (B) decreases (C) remains the same (D) none of the above(A) c<+r h gS (B) ?kVr h gS (C) l eku j gr h gS (D) buesa l s dksbZ ugha

13. When water is heated from 0 ºC to 10 ºC , its volume :t c i kuh 0 ºC l s 10 ºC r d xj e gksr k gS r ks bl dk vk; r u(A) increases c<+r k gS (B) decreases ?kVr k gS(C) does not change l eku j gr k gS(D) first decreases and then increases i gys ?kVr k gS fQj c<+r k gS

14. A 300 g mass has a velocity of v = (3i + 4j) m/sec at a certain instant. What is its kinetic energy?, d 300 g nzO; eku dk osx fd l h l e; i j v = (3i + 4j) m/sec gS r ks bl dh xfr t Åt kZ D; k gksxh ?(A) 1.35 J (B) 2.4 J (C) 3.75 J (D) 7.5 J

15. The temperature of an iron block is 140 ºF. Its temperature on the Celsius scale is :yksgs ds CykWd dk r ki 140ºF gS bl dk r ki l sfYl ; l esa gksxk :(A) 60º (B) 160º (C) 140º (D) 132º

16. A body of mass 'm' collides against a wall with the velocity 'v' and rebounds with the same velocity. Itschange of momentum is -, d oLr q ft l dk nzO; eku 'm' gS , d nhokj i j 'v' osx l s Vdj k dj ml h osx l s oki l vk t kr h gS r ks ml ds l aosx esa i fj or Zugksxk -(A) 2mv (B) – mv (C) mv (D) 0

17. The period of a simple pendulum is doubled when : yksyd dk vkor Z dky nqxquk gksxk t c :(A) its length is doubled bl dh yEckbZ nqxquh gks(B) the mass of the bob is doubled fi .M dk nzO; eku nqxquk gks(C) its length is made four times bl dh yEckbZ pkSxquh gks(D) the mass of the bob and length of pendulum are doubled

fi .M dk nzO; eku vkSj yksyd dh yEckbZ nksuksa nqxus gksa



18. The load versus elongation graph for four wires of the same materials is shown in the figure. The thinnest wire isrepresented by the line :l eku i nkFkZ l s cus pkj r kj ksa ds fy , Hkkj &of) xzkQ fp=k esa fn[ kk; s x; s gSA l cl s i r ys r kj dks fd l j s[ kk l s fu: fi rfd; k x; k gS &

(A) OC (B) OD (C) OA (D) OB

19. Velocity of sound in vacuum (in m /sec)fuokZr esa /ofu dk osx (eh/l s) esa gksxk(A) 0 (B) 330 (C) 156 (D) 1000

20. The mass of ice that can be melted by 100 g of water at 22.4°C is : [ L = 80 cal/g ]cQZ dk nzO; eku t ksfd 22.4°C r ki i j j [ ks x; s 100 gm i kuh } kj k fi ?kyk; k t k, xk(A) 25 g (B) 28 g (C) 24 g (D) 18 g

21. The velocity of sound in any gas depends upon fd l h xSl esa /ofu dk osx fuHkZj d j r k gS &(A) wavelength of sound only /ofu dh r j ax nS/; Z i j(B) density and elasticity of gas xSl ds ?kuRo r Fkk i zR; kLFkr k i j(C) intensity of sound waves only dsoy /ofu r j axksa dh r hozr k i j(D) amplitude and frequency of sound /ofu ds vk; ke o vkofr i j

22. How many electrons constitute a current of 1 A? , d , fEi ; j /kkj k esa fdr us bysDVªkWu gksr s gSa ?(A) 6.25 × 1018 (B) 6.25 × 1012 (C) 6.25 × 1011 (D) 6.25

23. Melting point of ice - cQZ dk xyukad -(A) increases with increasing pressure c<+r s gq, nkc ds l kFk c<+sxk(B) decreases with increasing pressure nkc c<+kus i j ?kVsxk(C) is independent of pressure nkc l s Lor a=k gS(D) is proportional to pressure nkc ds vuqi kr h gS

24. Velocity of sound is measured in hydrogen and oxygen gases at a given temperature. The ratio of the twovelocities will be (vH/vO) -/ofu osx gkbMªkst u vkSj vkWDl ht u xSl esa , d fuf' pr r ki i j vH vkSj vO gS r ks (vH/vO) dk vuqi kr gksxk -(A) 1 : 4 (B) 4 : 1 (C) 1 : 1 (D) 32 : 1

25. A wire has a resistance 10. It is stretched by 1/10th of its original length. Then its resistance will be :, d r kj 10 i zfr j ks/k j [ kr k gSA bl dks bl dh ewy yEckbZ dk 1/10th [ khapk t kr k gSA vc i zfr j ks/k gksxk(A) 10 (B) 9 (C) 11 (D) 12.1

26. The current I in the circuit is : fuEu i fj i Fk esa /kkj k I dk eku gksxk

(A) 451 amp (B) 10

1 amp

(C) 151 amp (D) 90

1 amp



27. Two resistors 2R and R are connected in series in an electric circuit. The ratio of heat in 2R to that in R isnks i zfr j ks/k 2R o R Js.kh Øe esa , d oS| qr i fj i Fk esa t qM+s gq, gSaA 2R o R esa Å"ek dk vuqi kr gksxk &(A) 1 : 3 (B) 1 : 9 (C) 2 : 1 (D) 4 : 1

28. Current voltage graphs for a given metallic wire at two different temp. T1 and T2 areshown in fig. Relation between T1 & T2 is :nks r ki T1 vkSj T2 i j /kkj k vkSj foHko ds chp oØ [ khapk t kr k gS r ks T1 vkSj T2 esa l acaèk gksxk-(A) T1 > T2 (B) T1 = T2 (C) T1 < T2 (D) T1 – T2

29. The number of images observable between two parallel mirror is :nks l ekUr j ni Z.kksa ds chp i zfr fcEcksa dh l a[ ; k gksxh(A) 2 (B) 4 (C) 6 (D) inifinity vuUr

30. In hydrogen bomb the process used is called gkbMªkst u ce esa dkSul h i zfØ; k mi ; ksx gksr h gS(A) fission (B) fusion (C) ionisation (D) None of these(A) fo[ k.Mu (B) l ay; u (C) vk; uu (D) fuEu esa l s dksbZ ugha

31. Which allotrope of carbon is used as a reducing agent in metallurgical processes ?/kkfRod i zfØ; k esa dkcZu ds dkSul s , yksVªksi dk mi ; ksx v i pk; d dh r j g fd; k t kr k gS ?(A) coal (B) coke (C) carbon black (D) charcoal(A) dks; yk (B) dksd (C) dkcZu CySd (D) pkj dksy

32. In graphite two layers of carbon atoms are fold together by :xzsQkbV esa dkcZu i j ek.kq dh nks i j r sa fd l ds } kj k t qM+h gksr h gSa :(A) hydrogen bond (B) ionic bond (C) vander Waal’s forces (D) covalent bond(A) gkbMªkst u cU/k (B) vk; fud cU/k (C) okUMj oky cy (D) l gl a; kst d cU/k

33. The bond angle in ammonia is veksfu; k dk ca/k dks.k gS(A) 109.28º (B) 107º (C) 120º (D) 104º

34. The IUPAC name of neo-pentane is : fu; ks i sUVsu dk IUPAC uke gS :(A) 2-methyl butane (B) 3-methyl pentane (C) 2, 2-dimethyl propane (D) 2-ethyl propane(A) 2-esfFky C; wVsu (B) 3-esfFky i sUVsu (C) 2, 2-MkbZesfFky i zksi su (D) 2-, fFky i zksi su

35. Polyethene is a polymer of : i ksyh, Fkhu fd l dk cgqyd gS :(A) ethane (B) ethyne (C) ethene (D) none of these(A) , Fksu (B) , Fkkbu (C) , Fkhu (D) buesa l s dksbZ ugh

36. Non-stick frying pans are coated black with teflon , a material that is resistant to heat. Teflon is a polymerof :ukWu&fLVd r os i j dkys j ax dk Vs¶ykWu ds l kFk ysi yxk; k t kr k gS t ks Å"ek ds i zfr i zfr j ks/k d j r k gSA Vs¶yku fdl dki kWyhej gS :(A) fluoromethane (B) styrene (C) ethylene (D) tetrafluoro ethylene(A) ¶yksj ksesFksu (B) LVkbZfj u (C) , Fkhfyu (D) VsVªk¶yksj ks , Fkhyhu

37. Which of the following is not a product of petroleum refining ?fuEu esa l s dkSul k i sVªksfy ; e fj Qkbuj h dk mRi kn ugha gS ?(A) toluene (B) gasoline (C) kerosene (D) Diesel oil(A) VkywbZu (B) xSl ksyhu (C) dSj ksl hu (D) Mht y vkW; y



38. Write the IUPAC name of the following compound fuEu ; kSfxd l gh IUPAC uke gS

(A) 2, 4, 4-trimethyl pentan-1-ol 2, 4, 4-VªkbZesfFky i sUVsu -1-vkWy(B) 2, 2, 4-trimethyl pentan-5-ol 2, 2, 4-VªkbZesfFky i sUVsu -5-vkWy(C) 4-hydroxymethyl, 2, 2-dimethyl pentane 4-gkbMªkDl hesfFky , 2, 2-MkbZesfFky i sUVsu(D) 2-hydroxy methyl-4, 4-dimethyl pentane 4-gkbMªkDl hesfFky , 2, 2-MkbZesfFky i sUVsu

39. What is the formula of alumina : , yqfeuk dk l w=k gS :(A) Al(OH)3 (B) Na3AlF3 (C) Al2O3 (D) AlN

40. The process in which a finished glass article is cooled slowly and uniformly is called :og i zØe ft l esa i w.kZ dk¡p oLr qvksa dks /khj s /khj s r Fkk , d l eku : i l s B.Mk fd; k t kr k gS] dgykr k gS :(A) etching (B) annealing (C) quenching (D) tempering

41. The process in which ore is heated strongly in the absence of air is :og i zØe ft l esa v; Ld dks gok dh vuqi fLFkfr esa i zcyr k l s xj e fd; k t kr k gS] dgykr k gS :(A) oxidation refining (B) roasting (C) smelting (D) calcination(A) vkDl hdj .k i fj "d j .k (B) Hkt Zu (C) i zxyu (D) foLr ki u

42. The allotrope of ‘S’ which is stable at room temperature is :dej s ds r ki i j ‘S’ dk LFkk; h v i j : i gS :(A) monoclinic sulphur (B) rhombic sulphur (C) Y-sulphur (D) flower of sulphur(A) eksuks fDy fud l YQj (B) j ksfEcd l YQj (C) Y l YQj (D) l YQj ds Qwy

43. Zone refining method is used for purification of :t ksu i fj "d j .k fof/k fd l ds ' kqf} d j .k gsr q i z; qDr dh t kr h gSA(A) Ge (B) Si (C) both nksuksa (D) none of these buesa l s dksbZ ugha

44. The existence of an element in different forms in the same physical state is :l eku HkkSfr d voLFkk esa , d r Ro dh fofHkUu : i ksa esa mi fLFkfr dks dgr s gSA(A) mineral (B) allotropy (C) alloy (D) ore(A) [ kfut (B) vi j : i r k (C) feJ /kkr q (D) v; Ld

45. What is the formula of soda ash ? l ksMk , s' k dk l w=k gS :(A) Na2CO3 (B) K2CO3 (C) K2SO4 (D) Na2SO4

46. When ammonia reacts with HCl gas : t c veksfu; k HCl xSl ds l kFk fØ; k d j r h gS r ks(A) dense white fumes are formed ?kus ' osr /kwe cur s gS(B) colourless gas is evolved j axghu xSl fudyr h gS(C) brown gas is evolved Hkwj h xSl cur h gS(D) violet gas is evolved cSaxuh xSl fudyr h gS

47. Brass is an alloy of czkl fd l dk feJ /kkr q gSA(A) iron & tin (B) iron & zinc (C) copper & tin (D) copper & zinc(A) vk; j u o fVu (B) vk; j u o ft Ud (C) dkWi j o fVu (D) dkWi j o ft Ud



48. Which of the following is an example of carbonate ore. dkcksZusV v; Ld dk mnkgj .k gS :(A) bauxite (B) lime stone (C) zinc blende (D) rock salt(A) ckWDl kbV (B) ykbe LVksu (C) ft Ud CysaM (D) j kWd l kYV

49. Which sample contains the largest number of atoms : fd l uewus esa i j ek.kqvksa dh l a[ ; k vf/kdr e gksxhA(A) 1 mg of C4H10 (B) 1 mg of N2 (C) 1 mg of Na (D) 1 mL of water(A) C4H10 dk 1 mg (B) N2 dk 1 mg (C) Na dk 1 mg (D) 1 ml t y

50. If one mole of ethanol (C2H5OH) completely burns to carbon dioxide and water, the weight of carbon dioxideformed is about :, d eksy , Fksuksy (C2H5OH) ds i w.kZr ; k t yus l s dkcZu MkbZ vkDl kbM r Fkk t y cur k gS r ks cuh gqbZ dkcZu MkbZ vkDl kbMdk Hkkj gksxk :(A) 22 g (B) 45 g (C) 66 g (D) 88 g

51. A mixture containing 100 g H2 and 100 g O2 is ignited so that water is formed according to the reaction, 2H2

+ O2 2H2O . How much water will be formed .100 g H2 r Fkk 100 g O2 ds feJ.k dks t ykus l s vfHkfØ; k 2H2 + O2 2H2O ds vuql kj t y cur k gS] r ks fdr ukt y cusxkA(A) 113 g (B) 50 g (C) 25 g (D) 200 g

52. If K1 and K2 are equilibrium constants for reactions (I) and (II) respectively for,; fn K1 r Fkk K2 Øe' k% fuEu vfHkfØ; kvksa I r Fkk II ds fy ; s l kE; fu; r kad gSN2 + O2 2NO ;

21 N2 + 2

1 O2 NO Then r ks :

(A) K2 = K1 (B) K2 = 1K (C) K1 = 2K2 (D) K1 = (1/2)K2

53. If the equilibrium constant of the reaction , 2HI H2 + I2 is 0.25, the equilibrium constant of thereaction, H2 + I2 2HI would bevfHkfØ; k 2HI H2 + I2 ds fy ; s l kE; fu; r kad 0.25 gS

] r ks vfHkfØ; k H2 + I2 2HI ds fy ; s l kE;

fu; r kad gksxk(A) 1.0 (B) 2.0 (C) 3.0 (D) 4.0

54. In the chemical reaction, N2 + 3H2 2NH3 at equilibrium :l kE; i j j kl k; fud vfHkfØ; k N2 + 3H2 2NH3 esa :(A) equal volumes of N2 & H2 are reacting N2 r Fkk H2 ds l eku vk; r u vfHkfØ; k d j r s gS(B) equal masses of N2 and H2 are reacting N2 r Fkk H2 ds l eku nzO; eku vfHkfØ; k d j r s gS(C) the reaction has stopped vfHkfØ; k : d t kr h gS(D) the amount of ammonia formed is equal to amount of NH3 decomposed into N2 and H2

cuh gqbZ veksfu; k dh ek=kk, N2 r Fkk H2 esa fu/kkZfj r NH3 dh ek=kk ds cj kcj gksxh

55. A reversible chemical reaction having two reactants is in equilibrium. If the concentrations of the reactantsare doubled then the equilibrium constant will :, d mRØe.kh; j kl k; fud vfHkfØ; k ft l esa nks vfHkdkj d gS

] l kE; i j gSA ; fn vfHkdkj dksa dh l kUnzr k, nqxquh dj nh t k,

r ks l kE; fu; r kad gksxk :(A) also be doubled nqxquk (B) be halved vk/kk(C) become one fourth , d pkSFkkbZ (D) remain the same ogh j gsxk



56. In the reaction, N2(g) + 3H2(g) 2NH3(g) , increase in H2 concentration at equilibrium :vfHkfØ; k N2(g) + 3H2(g) 2NH3(g)

esa l kE; i j H2 dh l kUnzr k c<+kusa l s :

(A) favours the dissociation of NH3 NH3 dk fu; kst u gksxk(B) does not effect the reaction vfHkfØ; k i zHkkfor ugha gksr h gS(C) increases the equilibrium constant l kE; fu; r kad c<+sxk(D) favours the formation of NH3 NH3 fuekZ.k vuqdwy gksxk

57. In an experiment, pH of a solution changes from 5 to 4. Change in hydrogen ion concentration would be:, d i z; ksx esa , d foy ; u dh pH , 5 l s 4 r d i fj ofr Zr gksr h gSA gkbMªkst u vk; u dh l kUnzr k esa i fj or Zu(A) increased 10 times 10 xquk c<+sxh (B) decreased 10 times10 xquk ?kVsxh(C) increased 100 times 100 xquk c<+sxh (D) decreased 100 times 100 xquk ?kVsxh

58. Sulphur shows a maximum covalency of : l YQj dh vf/kdr e l gl a; kst dr k gS :(A) 5 (B) 7 (C) 6 (D) 3

59. Hydrogen exists in : gkbMªkst u fo/keku j gr k gS :(A) +1 oxidation state only (B) – 1 oxidation state only(C) + 1 and – 1 oxidation states (D) + 1 , – 1 and zero oxidation states(A) dsoy + 1 vkDl hdj .k voLFkk esa (B) dsoy – 1 vkDl hdj .k voLFkk esa(C) + 1 r Fkk – 1 vkDl hdj .k voLFkk esa (D) + 1 , – 1 r Fkk ' kwU; vkDl hdj .k voLFkk esa

60. The simplest formula of a compound containing 50% of element X (at wt. 10) and 50% of element Y (at. wt20) is :, d ; kSfxd ft l esa r Ro X (i j ek.kq Hkkj 10) dk 50 % r Fkk r Ro Y (i j ek.kq Hkkj 20) dk 50 % gS

] r ks ; kSfxd dk l j yr e

l w=k gS :(A) XY (B) X2Y (C) XY2 (D) X2Y3

61. In given figure, sin is equal to fn; s x; s fp=k esa] sin dk eku gksxk

(A) 3

1(B)

321

(C) 53

(C) 64

62. The angular speed in radian per second of an electric fan making 1000 revolutions per minute is, d fo| qr i a[ kk t ks1000 pDdj i zfr feuV dh xfr l s ?kwe j gk gS] ml dk dks.kh; osx gksxk &

(A) 3100

radian/sec j sfM; u@l S0 (B) 350

radian/sec j sfM; u@l S0

(C) 322

radian/sec j sfM; u@l S0 (D) none of these buesa l s dksbZ ugh

63. The value of x in equation , 1 + sin2 ax = cos x is 1 + sin2 ax = cos x l ehdj .k esa x dk eku gksxk(A) 0 (B) 1 (C) (D) all of these mi j ksDr l Hkh

64. If 2)tan1()tan1( , then is equal to ; fn 2)tan1()tan1( , r ks dk eku gksxk &(A) 300 (B) 450 (C) 600 (D) 750



65. If in a Csin2

BsinAcos,ABC then ABC is ; fn ABC easCsin2

BsinAcos gS] r ks ABC gksxk

(A) equilateral (B) isosceles (C) right angle (D) none of these(A) l eckgq (B) l ef} ckgq (C) l edks.k f=kHkqt (D) bues l s dksbZ ugha

66. In given figure if AX = 5 cm, XD = 7 cm,CX = 10 cm, then find BXfn; s x; s fp=k esa ; fn AX = 5 l seh, XD = 7 l seh, CX = 10 l seh gS] r ks BX dk eku gksxk

(A) 3 cm (B) 3.5 cm (C) 4 cm (D) 4.5 cm

67. The ratio of the corresponding sides of two similar triangles is 2 : 3. The ratio of the corresponding heightsisnks l e: i f=kHkqt dh nks l axr Hkqt kvks dk vuqi kr 2 : 3 gS] r ks mudh l axr mpkWabZ; ks dk vuqi kr gksxk(A) 2 : 3 (B) 4 : 9 (C) 3 : 2 (D) 9 : 4

68. If each of the dimensions of a rectangle is increased by 100% its area increases by; fn fd l h vk; r dh i zR; sd Hkqt k dks 100%c<k fn; k t kr k gS] r ks ml ds {ks=kQy esa fdr uh of) gksxh(A) 100% (B) 200% (C) 300% (D) 400%

69. Find the inradius of a triangle if its area is30 cm2 and hypotenuse is 13 cm13 l seh d.kZ o 30 oxZ l seh {ks=kQy okys f=kHkqt dh vUr % f=kT; k Kkr d j ks &

(A) 1.5 cm (B) 1.755 cm (C) 2 cm (D) 22 cm70. A cone with radius is equal to 2 cm and height is 2 cm is melted to form two equal spheres of equal radii

‘R’. Then the value of R is, d 2 l seh mpkWabZ r Fkk 2 l seh f=kT; k ds ' kadq dks xykdj nks cj kcj R f=kT; k ds xksys cuk; s t kr s gS] r ks R dk eku gksxk&(A) 21/4 (B) 21/2 (C) 1 (D) 21/5

71. Rs. 680 has been divided among A, B, C such that A gets 32 of what B gets and B gets 4

1 of what C gets.s.

Then B's share is

680 #i ; s dks A, B, C esa bl r j g ckWaVuk gS fd A dks B dk 32 fgLl k vkSj B dks C dk 4

1 fgLl k feys] r ks B dk fgLl k

gksxk(A) Rs. 60 (B) Rs. 80 (C) Rs. 120 (D) Rs. 160

72. If m = 3n – 1 and 34n –1 = 27, what is the valueof nm ?

; fn m = 3n – 1 vkSj 34n –1 = 27 gks] r ks nm dk eku gksxk

(A) 0 (B) 1 (C) 37 (D) 2

9

73. Which one is true for x and y, if 8153y

x73

; fn 8153y

x73 gS] r ks x, y ds fy , dkSu l k l R; gksxk

(A) 2, 11 (B) 11, 2 (C) 1, 1 (D) 2, 1



74. The solution set of the inequality is 8x – x2 – 12 0 : x Nvl fedk 8x – x2 – 12 0 : x N ds gyks dk l eqPp; gS(A) {1, 3, 4, 6} (B) {2, 3, 4, 6} (C) {1, 2, 4, 5, 6} (D) {2, 3, 4, 5, 6}

75. If 53sin the value of 2)sec(tan ; fn

53sin gS] r ks 2)sec(tan dk eku gS

(A) 1 (B) 2 (C) 3 (D) 4

76. The length of the longest rod that can be fit in a cubical room of 4 m side is4 ehVj Hkqt k ds ?kukdkj deus esa l ekus okyh NM+ dh vf/kdr e yEckbZ gS(A) 8.66 m (B) 5.196 m (C) 6.928 m (D) 7.264 m

77. A metal sheet 27 cm long, 8 cm broad and1 cm thick is melted into a cube. The difference between thesurface area of two solids will be, d /kkr q dh pn~nj t ks fd 27 l seh yEch 8 l seh pkSM+h vkSj 1 l seh eksVh gS] dks , d ?ku esa <kyk t kr k gS] r ks nksuks Bksl ksds l r g ds {ks=kQy dk vUr j gksxk(A) 284 cm2 (B) 296 cm2 (C) 286 cm2 (D) 300 cm2

78. If 3 persons can do 3 times of a particular work in 3 days then 7 persons can do 7 times of that work in; fn 3 vkneh fd l h fuf' pr dke ds r hu xqus dks 3s fnu esa d j r s gS] r ks 7 vkneh ml dke ds 7 xqus dks fdr us fnuks esadj asxas(A) 7 day (B) 6 day (C) 4 day (D) 3 day

79. If ba

ab4x

, then value of b2xb2x

a2xa2x

is ; fn ba

ab4x

, r ks b2xb2x

a2xa2x

dk eku gksxk

(A) 1 (B) -2 (C) 4 (D) 2

80. If x + y = 3 and xy = 2 the value of x3 – y3 is equal to; fn x + y = 3 vkSj xy = 2 r ks x3 – y3 dk eku gksxk(A) 6 (B) 7 (C) 8 (D) none of these buesa l s dksbZ ugha

81. If sec A =x4

1x The value of sec A + tan A is ; fn sec A = x4

1x r ks sec A + tan A dk eku gksxk &

(A) x or ; k x1 (B) 2x or ; k x2

1 (C) 4x or ; k x41 (D) none of these buesa l s dksbZ ugha

82. F(x) = (sin x + cos x)2. The minimum value of F(x) is :F(x) = (sin x + cos x)2 gS] r ks F(x) dk U; wur e eku gksxk&(A) 0 (B) 1 (C) 2 (D) 3

83. The area of a rhombus, one side of which measures 20 cm and one diagonal 24 cm is, d l epr qZHkqt dh , d Hkqt k 20 l seh vkSj fod.kZ 24 l seh gS] r ks ml dk {ks=kQy D; k gksxk &(A) 256 sq. cm (B) 384 sq. cm (C) 512 sq. cm (D) 480 sq. cm(A) 256 oxZ l seh (B) 384 oxZ l seh (C) 512 oxZ l seh (D) 480 oxZ l seh

84. A horse is tethered to a corner of a field which has the shape of an equilateral triangle. If the length of therope to which it is tied be 7 cm, area of the field over which it grazes is

(A) 49 sq.cm (B) 22 32 sq.cm (C) 25 3

2 sq. cm (D) none of these

, d ?kksM+k [ ksr ds , d dksus l s ca/kk gqvk gS] t ks dh l eckgq f=kHkqt dh vkd fr dk gSA ; fn ?kksM+s l sca/kh gqbZ j Ll h dh yEckbZ 7 l seh r ks ml {ks=k dk {ks=kQy cr kvks ft r uk ?kksM+k pj l dr k gS

(A) 49 oxZ l seh (B) 22 32 oxZ l seh (C) 25 3

2 oxZ l seh (D) bues l s dksbZ ugha



85. The area of a triangle with two sides equal 5.1 meters and the third side 4.6 meters is(A) 10.46 sq. m (B) 2.86 sq. m (C) 20.92 sq. m(D) 5.23 sq. m, d f=kHkqt ft l dh nks l eku Hkqt k, sa 5.1 ehVj vkSj r hl j h Hkqt k 4.6 ehVj gS] r ks ml dk {ks=kQy gksxk(A) 10.46 oxZ ehVj (B) 2.86 oxZ ehVj (C) 20.92 oxZ ehVj (D) 5.23 oxZ ehVj

86. Which of the following statements is incorrect(A) Every parallelogram is a quadrilateral (B) Every rectangle is a parallelogram(C) Every rhombus is a parallelogram (D) Every trapezium is a parallelogramfuEu esa l s dkSu l k dFku xyr gS(A) i zR; sd l ekukUr j pr qHkZqt , d pr qHkZqt gksr k gSA(B) i zR; sd vk; r , d l ekukUr j pr qHkZqt gksr k gSSA(C) i zR; sd l e pr qHkZqt , d l ekukUr j pr qHkZqt gksr k gSA(D) i zR; sd l eyEc pr qHkZqt , d l ekukUr j pr qHkZqt gksr k gSA

87. If AD, BE and CF, the altitudes of the ABC are equal then ABC is(A) equilateral triangle (B) obtuse triangle(C) right angled triangle (D) none of these; fn AD, BE vkSj CF, f=kHkqt ABC ds yEc gS vkSj cj kcj gS] r ks f=kHkqt ABC gksxk &(A) l eckgq f=kHkqt (B) vf/kdks.k f=kHkqt (C) l edks.k f=kHkqt (D) buesa l s dksbZ ugh

88. Two secant PAB and PCD are drawn to a circle from an out side point P. Then which one of the followingis true ?ckg; ~ fcUnq P l s fd l h oRr i j PAB vkSj PCD nks Nsnd j s[ kk, [ khph t kr h gS] r ks fuEu esa l s dkSu l k l R; gS&(A) PB - PA = PD - PC (B) PA + PB = PC + PD(C) PA . PB = PC . PD (D) PA - PB = PC/PD

89. If f(x) = x – 1, g(x) = 3x + 3 and h(x) = g[f(x)] then evaluate h(1); fn f(x) = x – 1, g(x) = 3x + 3 vkSj h(x) = g[f(x)] gS] r ks h(1) dk eku gksxk &(A) 10 (B) 7 (C) 5 (D) 3

90. If one root of the equation x2 – 12x + 3k = 0 is the square of the other the value of k is; fn l ehdj .k x2 – 12x + 3k = 0 dk , d ewy nwl j s dk oxZ gS] r ks k dk eku gS

(A) 3 (B) 6 (C) ± 21 (D) 9

SAMPLE TEST PAPER-11. B 2. A 3. D 4. C 5. B 6. A 7. B8. C 9. C 10. D 11. B 12. A 13. D 14. C15. A 16. A 17. C 18. C 19. A 20. B 21. B22. A 23. B 24. B 25. D 26. B 27. C 28. C29. D 30. B 31. B 32. C 33. B 34. C 35. C36. D 37. A 38. A 39. C 40. B 41. D 42. B43. C 44. B 45. A 46. A 47. D 48. B 49. D50. D 51. A 52. B 53. D 54. D 55. D 56. D57. A 58. C 59. D 60. B 61. C 62. A 63. A64. B 65. B 66. B 67. A 68. C 69. C 70. C71. C 72. B 73. B 74. D 75. D 76. C 77. C78. D 79. D 80. B 81. B 82. A 83. B 84. C85. A 86. D 87. A 88. C 89. D 90. D



SAMPLE TEST PAPER-21. 1 kg-f equals to :

(A) 98 newtons (B) 9.8 newtons (C) 980 newtons (D) 0.98 newtons1 kg-f cj kcj gS :(A) 98 U; wVu (B) 9.8 U; wVu (C) 980 U; wVu (D) 0.98 U; wVu

2. A block of mass 5 kg placed on a long horizontal table is pulled horizontally by a constant force f . It isfound to move 10 m in the first two seconds . Then the magnitude of f is :5 kg nzO; eku dk , d CykWd {kSfr t Vscy i j j [ kk gSA ft l s fu; r cy f l s {kSfr t : i l s [ khapk t kr k gSA ; g i k; k x; k

gS fd ; g i zFke nks l sd .M esa 10 m xfr dj r k gS r ks f dk eku gksxk :(A) 25 N (B) 10 N (C) 20 N (D) 15 N

3. Which of the following quantity is not a vector quantity ?(A) Displacement (B) Force (C) Current (D) VelocityfuEufy f[ kr esa l s dkSul h j kf' k l fn' k j kf' k ugah gSA

(A) foLFkki u (B) cy (C) /kkj k (D) osx

4. According to Archimedes principle, the loss in weight of a body after immersing it into liquid dependsupon :(A) the weight of the body (B) density of the body(C) the weight of water displaced (D) none of the abovevkfdZfefMt fl ) kUr ds vuql kj ] nzo ds vUnj fdl h oLr q dks Mqcksus ds ckn oLr q ds Hkkj esa deh fdl i j fuHkZj dj r h

gS :(A) oLr q ds Hkkj i j (B) oLr q ds ?kuRo i j

(C) gVk; s x; s i kuh ds Hkkj i j (D) buesa l s dksbZ ugha

5. In a gas, which of the following waves can be produced :(A) only transverse (B) only longitudinal(C) both transverse and longitudinal (D) none of the abovefd l h xSl esa] fuEufy f[ kr esa l s dkSul h r j axs] mRi Uu dh t k l dr h gSA

(A) dsoy vuqi zLFk (B) dsoy vuqnS/; Z

(C) vuqi zLFk r Fkk vuqnS/; Z nksuksa (D) bueas l s dksbZ ugha

6. When white light enters into a prism , after refraction colour bends towards the base is :(A) red (B) yellow (C) violet (D) greent c l Qsn i zdk' k fi zTe esa i zos' k dj r k gS r ks vi or Zu ds ckn dkSul k j ax vk/kkj dh vksj vf/kd eqM+r k gSA

(A) yky (B) i hyk (C) cSaxuh (D) gj k

7. In any metallic wire flow of current is due to(A) protons (B) ions (C) neutrons (D) electronsfd l h /kkfRod r kj esa /kkj k i zokg fdl ds dkj .k gksr k gSA

(A) i zksVkWu (B) vk; u (C) U; wVªkWu (D) bySSDVªkWu

8. The current ' i ' in the circuit shown is : fp=kkuql kj i fj i Fk esa /kkj k ' i ' gS :

(A) 0.1 A (B) 0.2 A (C) 1.25 A (D) 2 A



9. Heat , we feel in sunlight is due to :(A) U. V. rays (B) Infra red rays(C) neutrons present in the light (D) Green lightÅ"ek] ge l w; Z i zdk' k esa fdl ds dkj .k vuqHko dj r s gS

(A) U. V. fd j .ksa (B) voj Dr fdj .ks

(C) i zdk' k esa mi fLFkr U; wVªkWu (D) gj k i zdk' k

10. An electric bulb is rated 220 V - 100 W. It is used for 8 hours a day for a month of 30 days. The electricalenergy consumed is :, d fo| qr cYc i j 220 V - 100 W fy [ kk gSA bl s 30 fnuksa ds fy ; s , d fnu esa 8 ?kaVs ds fy ; s i z; ksx esa yk; k t kr k gSA

{kf; r fo| qr Åt kZ gksxh(A) 24 kWh (B) 22 kWh (C) 20 kWh (D) 22.5 kWh

11. 2.5 × 1018 free electrons flows through a copper wire in one second. The current flowing through theconductor is :2.5 × 1018 eqDr bysDVªkWu , d l sd.M esa fdl h dkWi j ds r kj l s xqt j r s gSA pky d esa xqt j us okyh /kkj k gS :(A) 0.2 ampere (B) 0.4 ampere (C) 0.6 ampere (D) 0.25 ampere

12. The wavelength of light is 6000 Å. Then its frequency is :i zdk' k dh r j ax nS/; Z 6000 Å gS r ks bl dh vkofr gksxh :(A) 5 × 1014 Hz (B) 5 × 1010 Hz (C) 5 × 1012 Hz (D) 5 × 1015 Hz

13. A car and a truck are moving with equal velocities. If they are forced to stop by applying equal forces then:(A) car will travel lesser distance before stopping(B) truck will travel lesser distance before stopping(C) both will move equal distances before stopping(D) both will travel for equal time before stopping., d dkj r Fkk , d Vªd cj kcj osxks l s xfr dj j gs gSA ; fn cj kcj cy vkj ksfi r dj mUgas j ksdk t k; s r ks :(A) dkj : dus l s i woZ de nwj h r ; dj sxh

(B) Vªd : dus l s i woZ de nwj h r ; dj sxk

(C) nksuksa : dus l s i woZ cj kcj nwfj ; ka r ; dj sxs

(D) nksuksa : dus l s i woZ l eku l e; ds fy ; s xfr dj sxs

14. Which of the following graph represent a uniformly accelerated motion of a particle starting at rest ?foj ke l s i zkj EHk dj fdl h d .k ds l e: i Rofj r xfr dk l gh xzkQ fuEu esa l s dkSul k gksxk ?

(A) (B) (C) (D)

15. An old person moves on a semi circular track of radius 40 m during a morning walk. If he starts at one endof the track and reaches at the other end, then the displacement of the person is :, d o) O; fDr v) Zor kdkj i Fk ft l dh f=kT; k 40 m gS] i j i zkr % dky xfr dj r k gSA ; fn og i Fk ds , d fl j s l s i zkj EHk

gks r Fkk nwl j s fl j s i j i gaqpr k gS r ks O; fDr dk foLFkki u gksxk :(A) zero ' kwU; (B) 40 m (C) 160 m (D) 80 m

16. A simple pendulum completes 60 oscillations in 30 seconds. Its time period is :, d l j y yksyd 30 l sd.M esa 60 nksyu i wj s dj r k gS bl dk vkor Zdky gksxk :(A) 2 sec (B) 4 sec (C) 0.5 sec (D) 1 sec



17. The temperature of a body is an indicator of(A) total energy of the molecules of the object(B) average energy of the molecules of the object(C) average velocity of the molecules of the object(D) average kinetic energy of the molecules of the objectfd l h oLr q dk r ki n' kkZr k gS :(A) oLr q ds v.kqvksa dh dqy Åt kZ (B) oLr q ds v.kqvks dh vkSl r Åt kZ

(C) oLr q ds v.kqvks dk vkSl r osx (D) oLr q ds v .kqvks dh vkSl r xfr t Åt kZ

18. The rate of nuclear reaction depends on :(A) Pressure (B) Volume (C) Temperature (D) none of theseukfHkdh; v fHkfØ; k dh nj fuHkZj dj r h gS :(A) nkc (B) vk; r u (C) r ki (D) buesa l s dksbZ ugah

19. The pressure at a point in a liquid depends on :(A) depth of point below the free surface (B) density of liquid(C) acceleration due to gravity (D) all of the abovefd l h nzo esa fdl h fcUnq i j nkc fuHkZj dj r k gS :(A) eqDr l r g l s uhps fcUnq dh xgj kbZ i j (B) nzo ds ?kuRo i j

(C) xq: Roh; Roj .k i j (D) mi j ksDr l Hkh

20. 63.2 g of copper at 50 °C can just melt 3.8 g of ice. If the latent heat of ice is 80, then the specific heatof copper is :50 ºC i j 63.2 g dkWi j 3.8g cQZ dks Bhd fi ?kyk l dr h gSA ; fn cQZ dh xqIr Å"ek 80 gks r ks] dkWi j dh fof' k"V Å"ek

gksxh :(A) 0.095 cal/g°C (B) 0.95 cal/g°C (C) 0.050 cal/g°C (D) 0.001 cal/g°C

21. Where should an object be placed so that a real and inverted image of the same size is obtained using aconcave mirror ?(A) Beyond centre of curvature (B) At centre of curvature(C) At infinity (D) At the focusfd l h oLr q dks dgka j [ kk t kuk pkfg, ft l l s fd og l eku vkdkj okLr fod , oa mYVk i zfr fcEc vor y ni Z.k dks ysr s gq; s

i zkIr fd; k t k l dsA

(A) oØr k dsUnz ds fi Ns (B) oØr k dsUnz i j (C) vuUr i j (D) Qksdl i j

22. is related with by the relation : o ds e/; l EcU/k gksr k gS :(A) = 3 (B) = 2 (C) = (D) = /2

23. Power of a lens is – 2 D, its focal length is : fd l h ysal dh ' kfDr – 2 D gS] bl dh Qksdl nwj h gksxh(A) 5 cm (B) – 0.5 m (C) – 2 m (D) 0.5 cm

24. The most penetrating among the following is(A) -particle (B) -particle (C) deuterium nuclei (D) -raysfuEufy f[ kr esa l s dkSu vf/kd Hksnu {ker k okyk gS

(A) -d.k (B) -d.k (C) M~; wVsfj ; e ukfHkd (D) -fd j .ksa

25. A burner consumes 1g of L.P.G. in 50 sec. If calorific value of L.P.G. be 50 kJ/g, then the power ofconsumption of the burner will be :, d cuZj 50 sec esa LPG dk , d xzke [ ki r dj r k gSA ; fn L.P.G. dk dSyksj hQhd eku 50 kJ/g gks r ks] cuZj ds

[ ki r dh ' kfDr gksxh :(A) 1 W (B) 1 kW (C) 5 kW (D) 5 W



26. The work done in moving a charge of 2 C from a point at 118V to 128V is :(A) 5 joules (B) 10 joules (C) 20 joules (D) 15 joules118V l s 128V i j fd l h fcUnq l s nks dwykWe ds vkos' k dks xfr dj kus esa fd; k x; k dk; Z gksxk :(A) 5 t wy (B) 10 t wy (C) 20 t wy (D) 15 t wy

27. We have 3 resistors of 3 each. To get a resistance of 2 we should connect them :(A) in parallel(B) in series(C) two in parallel , third in series with combination(D) two in series , third in parallel with combinationvki ds i kl 3 i zfr j ks/k gS i zR; sd dk eku 3 gSA 2 dk i zfr j ks/k i zkIr dj us ds fy ; s mUgsa t ksM+uk gksxk :(A) l ekUr j Øe esa (B) Js.khØe esa

(C) nks l ekUr j esa r Fkk r hl j k bl l a; kst u ds Js.kh esa(D) nks Js.kh esa r Fkk r hl j k bl l a; kst u ds l ekUr j esa

28. The apparent depth of a tank 3m deep when viewed from outside is : (n of water is 4/3)3 m xgj s fdl h Vsad dks t c ckgj l s ns[ kk t kr k gS r ks vkHkkl h xgj kbZ gksxh : (i kuh dk n = 4/3)(A) 2.25 m (B) 3.75 m (C) 1 m (D) 3 m

29. A charge is stationary at a place, its magnetic field will :(A) be parallel to charge(B) perpendicular to charge(C) be absent since no magnetic field is produced around stationary charge(D) none of these, d vkos' k fdl h LFkku i j fLFkj gS bl dk pqEcdh; {ks=k

(A) vkos' k ds l ekUr j gS

(B) vkos' k ds yEcor ~ gS

(C) vuqi fLFkr gS D; ksfd fLFkj vkos' k ds pkj ks vksj dksbZ pqEcdh; {ks=k mRi Uu ugah gksr k

(D) buesa l s dksbZ ugah

30. A car accelerates on a horizontal road due to the force exerted by :(A) the engine of the car (B) the road(C) the driver of the car (D) the earth, d dkj fd l ds } kj k vkj ksfi r cy ds dkj .k {kSfr t l M+d i j Rofj r gksr h gS :(A) dkj ds bat u } kj k (B) l M+d ds } kj k

(C) dkj ds Mªkboj } kj k (D) i Foh ds } kj k

31. The formula of baking soda is : cSfdax l ksM+k dk l w=k gksxk :(A) NaHCO3 (B) Na2CO3 (C) K2Cr2O7 (D) MgCO3

32. Stainless steel contains : LVsuysl LVhy esa gksr k gS :(A) Cr, Ni (B) Cu, V (C) Cr, Cu (D) Sc, Sr

33. Which of the following electronic configuration is a d-block element ?fuEu esa l s dkSul k bysDVªkWfud foU; kl d-[ k.M ds r Ro dk gS ?(A) 2, 8,1 (B) 2, 7 (C) 2, 8, 8, 3 (D) 2, 8, 8

34. Froth floation method is generally used for :(A) Sulphide ores (B) Carbonates ore (C) Carbonates ore (D) Bicarbonate ore>kx Iykou fof/k l kekU; r % fd l ds fy , mi ; ksx dh t kr h gS ?(A) l YQkbM v; Ld (B) dkcksZusV v; Ld (C) dkcksZusV v; Ld (D) ckbZdkcksZusV v; Ld



35. Water gas is mixture of : t y xSl feJ.k gS :(A) CO + H2 (B) CO + N2 (C) CO2 + H2 (D) N2 + H2

36. Type of bonding in HCl is :(A) ionic (B) polar covalent (C) pure covalent (D) hydrogen bondingHCl esa cU/k dk i zdkj gS :(A) vk; fud (B) /kqozh; l gl a; kst d (C) ' kq) l gl a; kst d (D) gkbMªkst u cU/k

37. Contact process used for the manufacturing of l Ei dZ fof/k fdl dks cukus esa mi ; ksx gksr h gS(A) NaOH (B) HNO3 (C) KMnO4 (D) H2SO4

38. How many gms of HCl will be needed to prepare 0.5 M solution of 500 ml ?500 ml. 0.5 M foy ; u cukus ds fy , HCl ds fdr us xzke dh vko' ; dr k gksxh ?(A) 91.25 gm (B) 71 gm (C) 35.5 gm (D) 58.34 gm

39. Which of the following is the isoelectronic pair?fuEu esa l s dkSul k l ebysDVªkWfud ; qXe gS(A) Na+ and Li+ (B) NO3

– and CO3–2 (C) PO4

–3and CO3–2 (D) Mg+2 and Cl–

40. Alums are used for : fQVdj h dk mi ; ksx fd; k t kr k gS(A) tanning of leather (B) to prevent blood clotting(C) purification of water (D) all the above(A) peM+s dk i fj j {k.k (tanning of leather) (B) : f/kj dk FkDdk cuus l s j ksdus ds fy ,

(C) t y ds ' kqf) dj .k ds fy , (D) mi j ksDr l Hkh

41. Pauling method is used for the purification of : i kmfyax fof/k fdl ds ' kqf) dj . k ds fy , mi ; ksx dh t kr h gS :(A) Cu (B) Fe (C) Cr (D) Al

42. How many gm of S is needed to produce 100 gm of H2SO4 ?100 gm H2SO4 mRi Uu dj us ds fy , S ds fdr us xzke dh vko' ; dr k gksxh ?(A) 82.75 gm (B) 32.65 gm (C) 46.34 gm (D) 39.36 gm

43. Calculate number of oxalic acid molecules in 100 ml of 0.01 M oxalic acid ?0.01 M vkDt sfyd vEy ds 100 ml esa vkDt sfyd vEy ds v.kqvksa dh x.kuk dhft , ?(A) 6.023 1020 (B) 6.023 1021 (C) 6.023 1022 (D) 6.023 1023

44. Find out the value of 'n' in , MnO4– + 8 H

+ + ne– Mn+2 + 4 H2OMnO4

– + 8 H+ + ne– Mn+2 + 4 H2O esa 'n' dk eku Kkr dhft ,

(A) 4 (B) 5 (C) 6 (D) 9

45. kC for the reaction , N2 + 3 H2 2 NH3 is 0.5 mole–2 lit2 at 400 K . Find kP .[ Given : R = 0.082 lit atm deg–1 mole–1

]

400 K i j vfHkfØ; k N2 + 3 H2 2 NH3 ds fy , kc dk eku 0.5 mole–2 lit2 gSA kP Kkr dj s

[ fn; k x; k gS : R=0.082 lit atm deg–1 mole–1 ]

(A) 4.636 10–4 (B) 5.37 10–3 (C) 8.31 10–3 (D) 9.36 10–2

46. In the following reaction , fuEu vfHkfØ; k

Al + Fe3O4 Al2O3 + Fe(A) Al is oxidised (B) Fe is oxidised(C) Al is reduced and Fe is oxidised (D) Al is oxidised and Fe is reduced(A) Al dk vkWDl hdj .k gksr k gS (B) Fe dk vkWDl hdj .k gksr k gS

(C) Al dk vi p; u r Fkk Fe dk vkWDl hdj .k gksr k gS (D)Al dk vkWDl hdj .k r Fkk Fe dk vi p; u gksr k gS



47. In which case does the reaction go farthest to completion ?fuEu esa l s fdl i fj fLFkfr esa vfHkfØ; k vf/kd i w.kZr k dh vksj t k, xh ?(A) k = 1 (B) k = 1010 (C) k = 10–10 (D) can't predict

48. IUPAC name of the following compound , CH3COOC2H5 is :(A) Ethyl ethanoate (B) methyl ethanoate (C) ethyl methyl ether (D) methyl ethyl etherfuEu ; kSfxd , CH3COOC2H5 dk IUPAC uke gksxk

(A) , fFky , Fksuks, V (B) esfFky , Fksuks, V (C) , fFky esafFky bZFkj (D) esfFky , fFky bZFkj

49. Which of the following is a primary alcohol ?(A) propan – 1 – ol (B) propan – 2 – ol(C) 2- methylpropan-2- ol (D) Butan – 2 – olfuEu esa l s dkSul k i zkFkfed , YdksgkWy gS ?(A) i zksi su -1 – vkWy (B) i zksi su– 2 – vkWy

(C) 2 – esfFky i zksi su– 2 – vkWy (D) C; wVsu– 2 – vkWy

50. The process ozonolysis is shown by :(A) metal hydroxides (B) metal halides(C) Alkenes (D) Alkanesvkst ksuhdj . k i zØe i znf' kZr fd; k t kr k gS ?(A) /kkr q gkbMªkWDl kbMksa } kj k (B) /kkr q gSykbMksa } kj k

(C) , Ydhuksa } kj k (D) , Ydsuksa } kj k

51. In which of the following underlined elements, the highest oxidation number is observed.fuEu esa l s dkSul s j s[ kkafdr r Ro dk vf/kdr e vkWDl hdj .k vad gksxkA

(A) KMnO4 (B) H2SO4 (C) H3PO4 (D) N2O5

52. The following reaction , CH2 = CH2 + H2 CH3 – CH3 is an example of :(A) Addition reaction (B) Substitution reaction(C) Elimination reaction (D) Rearrangement reactionfuEu vfHkfØ; k, CH2 = CH2 + H2 CH3 – CH3 mnkgj .k gS

(A) ; ksxkRed vfHkfØ; k dk (B) i zfr LFkki u vfHkfØ; k dk

(C) foyksi u vfHkfØ; k dk (D) i qu%foU; kl vfHkfØ; k

53. A compound (88 gm) on analysis gave C = 24 gm, H = 4 gm, O = 32 gm, N = 28 gm. Its empirical formulais :, d ; kSfxd (88 gm) ds i j h{k.k i j C = 24 gm , H = 4 gm , O = 32 gm , N = 28 gm fey r k gSA ml dk ewykuqi kr hl w=k gS

(A) C2H4O2N2 (B) C2H4N2O (C) C2H2ON2 (D) C2H4NO2

54. Equal masses of oxygen , hydrogen and methane are taken in a container in identical conditions . Findthe ratio of their moles ., d i k=k esa l eku i fj fLFkfr ; ksa esa vkWDl ht u] gkbMªkst u r Fkk esaFksu dks l eku vk; r u esa fy ; k t kr k gSA muds eksyksa dk vuqi krKkr dhft , A

(A) 1 : 16 : 2 (B) 32 : 16 : 2 (C) 1 : 1 : 1 (D) 2 : 16 : 32



55. Two flasks of 100 ml each is filled with N2 and O2 at 373 K and 2 atm pressure . The flasks contain :373 K r Fkk 2 ok; qe.Myh; nkc i j nks 100 ml ds ¶ykLdksa esa N2 r Fkk O2 Hkj h gqbZ gSA ¶ykLdksa esa gksxk

(A) same number of atoms l eku i j ek.kq

(B) same number of molecules v.kqvksa dh l a[ ; k l eku

(C) more number of moles in I as compared to II I esa eksyksa dh l a[ ; k II dh vi s{kk v f/kd gksxh

(D) Same amount of gases xSl ksa dh l eku ek=kk

56. 3 moles of methane is burnt in the presence of oxygen. Amount of CO2 obtained will be :vkWDl ht u dh mi fLFkfr esa esFksu ds 3 eksy t y r s gSA CO2 dh mRi Uu ek=kk gksxh :(A) 32 g (B) 22 g (C) 44 g (D) 88 g

57. Wine contains : okbu (Wine) esa gksr k gS :(A) CH3OH (B) C6H5OH (C) C2H5OH (D) CH3COOH

58. Which of the following is known as methyl carbinol ?(A) ethanol (B) methyl ethyl ether (C) acetaldehyde (D) acetic acidfuEu esa l s fdl s esfFky dkchZukWy ds uke l s t kuk t kr k gS ?(A) , FksukWy (B) esfFky , fFky bZFkj (C) , fl VsfYMgkbM (D) , fl fVd vEy

59. The formula of acetone is : , fl Vksu dk l w=k gS(A) CH3–CHO (B) CH3–CH2–CH2–CHO

(C) CH3–

O

C–CH2–CH3 (D) CH3–

O

C–CH3

60. The chemical reactions which absorb heat from the surroundings are :(A) exothermic (B) endothermic (C) combustion (D) neutralisationj kl k; fud vfHkfØ; k t ks okr koj .k l s Å"ek vo' kksf"kr dj r h gS] dgykr h gS ?(A) Å"ek{ksi h (B) Å"ek' kks"kh (C) ngu (D) mnkl huhdj .k

61. In given figure ABC is right angled at B and D is mid point of BC, then length of AD isfn; s x; s fp=k ABC esa dks.k B l edks.k gS r Fkk D, BC dk e/; fcUnq gS, r ks AD dh yEckbZ gksxh

(A) 13 (B) 13 (C) 2 3 (D) 11

62. If a

ax)1a()ax( =

pa2p)a2p(p)p2(

then which of the following is the relation between

x and p for 0a :

; fn a

ax)1a()ax( =

pa2p)a2p(p)p2(

r ks x vkSj p ds e/; fuEu esa l s dkSu l k l EcU/k gS %

(A) x = p (B) p = x + a (C) x = p + a (D) none of these buesa l s dksbZ ugha



63. If f(x) = ax2 + bx + c, then which one of the following is true :; fn f(x) = ax2 + bx + c gS] r ks fuEu esa l s dkSu l k dFku l R; gS %(A) f(x1/x2) = f(x1) f(x2) (B) f(x1 + x2) = f(x1) + f(x2)

(C) )x(f)x(f

xxf

2

1

2

1

(D) none of these buesa l s dksbZ ugha

64. 10 years ago the age of the father was 5 times that of the son. 20 years hence the age of the father will bethe twice that of the son. The present age of the father (in years) is :10 l ky i gys fi r k dh vk; q i q=k dh vk; q dh 5 xquk FkhA 20 l ky ckn fi r k dh vk; q i q=k dh vk; q dh nqxuh gksxh] r ks fi r kdh or Zeku vk; q gS ¼o"kZ esa½(A) 40 (B) 45 (C) 60 (D) 70

65. F(x) = (sin x + cos x)2. The maximum value of F(x) is :F(x) = (sin x + cos x)2 dk vf/kdr e eku gksxk(A) 0 (B) 1 (C) 2 (D) 3

66. The solution set of the inequality 12x – x2 – 20 0 where x Nvl fedk 12x – x2 – 20 0, t gk¡ x N ds gyksa dk l eqPp; gksxk(A) {2, 3, 4, 5, 6, 7, 8, 9} (B) {2, 3, 4, 5, 6, 7, 8, 9, 10}(C) {3, 4, 5, 6, 7, 8, 9, 10} (D) {9}

67. If two cylinder have ratio of radius 2 : 3 and ratio of height 9 : 4 then find the ratio of their volume; fn nks fl ys.Mj dh f=T; kvksa dk vuqi kr 2 : 3 vkSj mudh mpkWbZ dk vuqi kr 9 : 4 gS] r ks muds vk; r u dk vuqi kr gksxk&(A) 1 : 2 (B) 1 : 1 (C) 2 : 1 (D) 3 : 1

68. If sin = 257 , then the value of (tan+ sec)2 is

; fn sin = 257 gks, r ks (tan+ sec)2 dk eku gksxk

(A) 916 (B) 16

9 (C) 34 (D) 4

3

69. The dimensions of the floor of a rectangular hall are m3m4 . The floor of the hall is to be tiled fully

with cm6cm8 rectangular tiles with out breaking tiles to smaller size. The number of tiles required is

vk; r kdkj Q' kZ dh T; kfer h m3m4 gS] ml esa cm6cm8 T; kfer h dh vk; r kdkj VkbYl yxkbZ t kr h gS] r Fkk dksbZ

Hkh VkbYl r ksM-dj NksVs vkdkj esa ugha yxk; h t kr h gS] r ks dqy fdr uh VkbYl yxsxh %(A) 4800 (B) 2600 (C) 2500 (D) 2400

70. If a + b = 4 and ab = 3, then the value of a3 + b3 , is : ; fn a + b = 4 , oa ab = 3 gks, r ks a3 + b3 dk eku gksxk(A) 64 (B) 36 (C) 28 (D) 26

71. What is the value of tan 3 tan 6

? tan 3 tan 6

dk eku D; k gksxk ?

(A) cot 2 (B) cot 3

(C) cot 4 (D) cot 6

72. In any two digit number diff. between digits is 19 times of sum of those digit, what is the number

fd l h nks vadks dh l a[ ; k ds vadks dk vUr j mu vadks ds ; ksx dk 19 xquk gS] r ks l a[ ; k gksxh %

(A) 63 (B) 45 (C) 43 (D) 65



73. A worker suffers a 20% cut in wages . He regains his original pay by obtaining rise of, d deZpkj h ds HkRr s esa l s 20% dVkSr h gksr h gS] r ks ml s vi uh okLr fod r u[ okg i zkIr dj us ds fy , fdr us i zfr ' kr c<ksr j hdj uh gksxh %(A) 20 % (B) 22.5 % (C) 25 % (D) 27.5 %

74. A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it wouldhave fetched Rs. 72 more find the sum :fd l h /ku dks fuf' pr nj i j 2 l ky ds fy , l k/kj .k C; kt i j j [ kh t kr h gS] ; fn og nj l s 3% T; knk i j j [ kr k gS r ks72 : i ; s T; knk i zkIr gksr k gS] r ks /ku gksxk %(A) Rs. 1000 (B) Rs. 1200 (C) Rs. 500 (D) Rs. 150

75. If x = 12 12 12 ................ then : ; fn x = 12 12 12 ................ r ks

(A) x = (B) x = 4 (C) x = 3 (D) x = 12

76. The bisectors of the angles formed by producing the opposite side of cyclic quadrilateral intersect at x0 thenthe value of x0 isfd l h pØh; pr qHkqZt ds dks.kks dk v) Zd l keus okyh Hkqt k ds l kFk x0 dks.k cukr h gS] r ks x0 dk eku gksxk %(A) 1200 (B) 900 (C) 1500 (D) 450

77. The area of triangle with two sides equal of length 5m and the third side is of 8 m then the area of triangleis :, d f=kHkqt ft l dh nks l eku Hkqt kvksa dh yEckbZ 5 m gS r Fkk r hl j h Hkqt k 8m dh gS] r ks f=kHkqt dk {ks=kQy gksxk(A) 8 (B) 12 (C) 24 (D) 36

78. Two tangents PAB and PCD are drawn to a circle from an out side point P. Then which one of the followingis true ?ckg; ~ fcUnq P l s fdl h oRr i j PAB vkSj PCD nks Li ' kZ j s[ kk, [ khph t kr h gS] r ks fuEu esa l s dkSu l k l R; gS &(A) PB - PA = PD - PC (B) PA + PB = PC + PD(C) PA . PB = PC . PD (D) PA - PB = PC/PD

79. In an A.P. 3rd term is 18 and 7th term is 30. The sum of it’s 20 terms from the beginningfd l h l ekUr j Js.kh esa r r h; i n 18, l kr oka i n 30 gks] r ks ' kq: ds 20 i nksa dk ; ksx gksxk %

(A) 800 (B) 810 (C) 790 (D) none of these buesa l s dksbZ ugha

80. If 1000x 1xlog3)x(log 2

then : ; fn 1000x 1xlog3)x(log 2

] r ks

(A)10 < x < 100 (B)100 < x < 1000 (C) 11000 < x < (D) none of these buesa l s dksbZ ugha

81. The length of two parallel chords of a circle, 1 cm apart are respectively 8 cm and 6 cm. The distanceof the longer chord from the centre of the circle is :fd l h oRr dh nks l ekUr j t hokvks dh yEckbZ Øe' k% 8 l seh vkSj 6 l seh r Fkk e/; dh nqj h 1 l seh gS] r ks oRr ds dsUnzl s cM-h t hok dh nqj h gksxh %(A) 4 cm (B) 3.5 cm (C) 3 cm (D) 2 cm

82. Ajay invests Rs. 35000 in a bank at 7 % p.a. How much more should he invest at 9 % p.a. S.I. to geta 8 % return on his investmentvt ; us 7% i zfr o"kZ i j 35000 : i ; s cSad es t ek dj k; s] og 9% l k/kkj . k C; kt dh okf"kZd nj i j fdr uk vf/kd : i ; st ek dj s fd ml s vi us /ku dk 8% i zkIr gks %

(A) Rs. 32000 (B) Rs. 35000 (C) Rs. 30000 (D) none of these bues l s dksbZ ugha



83. The mean of 20 items of a data is 5. If each item is multiplied by 5 then the mean will be20 oLr qvks dk ek/; 5 gS ; fn i zR; sd oLr q dks 5 l s xq.kk d j fn; k t k; s r ks ek/; gksxk %(A) 20 (B) 15 (C) 12 (D) 25

84. Mean proportional to 9 and 81 is : 9 vkSj 81 dk ek/; vuqØekuqi kr h gksxk %(A) 27 (B) 9 (C) 26 (D) 81

85. Mahesh had 300 debentures of a company from which he received half yearly interest of Rs.750. If the rateof interest is 10% annum. The face value of one debenture isegs' k ds i kl , d dEi uh ds 300 ' ks; l Z gS] t ks dh og 750 : i ; s v) Z okf"kZd C; kt dh nj l s i zkIr dj r k gSA ; fn C; ktdh nj 10% okf"kZd gS] r ks , d ' ks; j dk vafdr eqY; gS %

(A) 55 (B) 50 (C) 60 (D) none of these bues l s dksbZ ugha

86. If ABCD is a cyclic quadrilateral then find which of the following statements is not correct; fn ABCD , d pØh; pr qZHkqt gS] r ks fuEu esa l s dkSu l k dFku l R; ugha gS &(A) sin(A + C) = 0 (B) sin(A + B) = 0 (C) cos(B + D) = 1 (D) sin(A + B + C + D) = 0

87. The missing number in of the following diagram is fn; s x; s fp=k essa l EHkkfor vuqi fLFkr l a[ ; k gksxh

(A) 33 (B) 145 (C) 120 (D) 18

88. In the equilateral triangle ABC, BCAD thenfd l h l eckgq f=kHkqt ABC esa BCAD gS] r ks(A) 2 AB2 = 3 AD2 (B) 4 AB2 = 3 AD2

(C) 3 AB2 = 4 AD2 (D) 3 AB2 = 2 AD2

89. The sum of all missing number in given sequence 2, 4, 5, 7, 8, 10, 11, 13, --,--,--,--, 20, 22 isnh xbZ Js.kh 2, 4, 5, 7, 8, 10, 11, 13, --,--,--,--, 20, 22 esa vuqi fLFkr l a[ ; kvksa dk ; ksx gksxk %(A) 64 (B) 66 (C) 67 (D) 65

90. The product of missing numbers in given sequence 90, 81, 72, 63, --, --, 36, 27 isnh xbZ Js.kh 90, 81, 72, 63, --, --, 36, 27 esa vuqi fLFkr l a[ ; k gksxh %(A) 2340 (B) 2430 (C) 4320 (D) 3420

91. In the figure to the right O, is both the centre of the circle with radius 2 and a vertex of the square OPRSwhat is the length of diagonal PS ?fp=k esa nk; ha vkSj O] xksys dk dsUnz gS o oxZ OPRS dk oVsZDl 2 gS r ks fod.kZ PS dh yEckbZ gksxh ?

(A) 21

(B) 22

(C) 4 (D) 2



92. In the figure to the right QRST, is a square. If the area of each circle is 2, then the area of square QRSTis :fp=k esa nk; ha vkSj QRST , d cM+k oxZ gS ; fn i zR; sd xksys ds {ks=kQy 2gks] r c oxZ QRST dk {ks=kQy gksxk :

(A) 2 (B) 2 p (C) 4 2 (D) 32

93. If m = 3n–1 and 34n–1 = 27 , what is the value of nm

? ; fn m = 3n–1 r Fkk 34n–1 = 27 gks r ks nm

dk eku gksxk?

(A) 0 (B) 1 (C) 37 (D) 2

9

94. If the average of 10, 14 and n is greater than or equal to 8 and less than or equal to 12, what is the leastpossible value of n ?; fn 10, 14 o n dk vkSl r 8 l s cM+k o 8 ds cj kcj gS r Fkk 12 l s NksVk o cj kcj gS r ks n dk U; wur e l EHkkfor eku gS?(A) –12 (B) – 6 (C) 0 (D) 6

95. If m = 3n–1 = 33n+1, what is the value of nm

? ; fn m = 3n–1 = 33n+1 gks r ks nm

dk eku D; k gksxk ?

(A) 0 (B) 201

(C) 101

(D) 91

96. A, B, C, D and E are Banks. Banks A, B and C have their branches in Meerut and Lucknow. A, B, and Ehave their branches in Meerut and Gorakhpur. B, C and D have their branches in Kanpur and Lucknow. A,E and D have their branches in Gorakhpur and Varanasi while C, E and D have their branches at Kanpurand Varanasi. Which bank has its branch in Kanpur and Meerut but not in Lucknow ?A, B, C, D, E cSad gSA cSad A, B vkSj C dh ' kk[ kk, a esj B o y [ kuÅ esa gSA A, B, o E dh ' kk[ kk, a esj B o xksj [ ki qj easgSA B, C o D dh ' kk[ kk, a dkui qj o y [ kuÅ esa gSA A, E o D dh ' kk[ kk, a xksj [ ki qj o okj k.kl h eas gSA t cfd C, E o Ddh ' kk[ kk, a dkui qj o okj k.kl h eas gSA fd l cSad dh ' kk[ kk, a dkui qj o esj B eas gS] i j y [ kuÅ esa ugh ?(A) B (B) C (C) D (D) E

97. A solid cube of 4 inches has been painted red, green and black on pair of opposite faces. It has been cutinto one inch blocks. How many cubes have only one face painted ?4 bap dk , d Bksl ?ku] t ks fd t ksM+ks ds : i es foi j hr Qydks i j yky ] gj k o dkyk i sUV fd; k x; k gSA ; g 1 bap dsNksVs ?kuks es dkVk x; k gSA fdr us ?ku , sl s gksaxs t ks dsoy , d Qyd l s gh i qr s gksaxs ?(A) 0 (B) 8 (C) 16 (D) 24

98. In a glass Jar some sort of Bacteria are kept which double the next day. If the jar is full in 30th day, it washalf full in -(A) 15 days (B) 27 days (C) 29 days (D) None, d dkWp ds t kj es dqN csDVsfj ; k gS] t ks fd vxys fnu nqxus gks t kr s gSA ; fn t kj 30 fnu es i wj k Hkj t kr k gS] r ks ; gvk/kk fdr us fnu es Hkj sxkA(A) 15 fnu (B) 27 fnu (C) 29 fnu (D) mi j ksDr ugh



99. Find the missing number . fj Dr l a[ ; k Kkr dhft , A

(A) 50 (B) 60 (C) 55 (D) 65

100. ‘A’ starts crossing the field diagonally . After walking half the distancehe turns right, walks some distance and turns left. Which direction is ‘A’facing now.(A) North - east (B) North - west(C) South - east (D) South - west‘A’ QhYM dks fod.khZ : i l s i kj d j r k gS] vk/kh nwj h r ; dj us ds ckn oks nkWa, as eqM+r kgSA fQj dqN py r k gS] o fQj ckWa; s eqM+r k gS] vc ‘A’ fd l fn' kk ds l Eeq[ k [ kM+k gSA(A) mÙkj & i woZ (B) mÙkj & i f' pe(C) nf{k.k & i woZ (D) nf{k.k & i f' pe

SAMPLE TEST PAPER-21. B 2. A 3. C 4. C 5. B 6. C 7. D8. A 9. B 10. A 11. B 12. A 13. A 14. A15. D 16. C 17. D 18. D 19. D 20. A 21. B22. A 23. B 24. D 25. B 26. C 27. D 28. A29. C 30. B 31. A 32. A 33. C 34. A 35. A36. B 37. D 38. A 39. B 40. D 41. A 42. B43. A 44. B 45. A 46. D 47. B 48. A 49. A50. C 51. A 52. A 53. A 54. A 55. B 56. A57. C 58. A 59. D 60. B 61. A 62. C 63. D64. C 65. C 66. B 67. B 68. A 69. C 70. C71. C 72. B 73. C 74. B 75. B 76. B 77. B78. B 79. B 80. D 81. C 82. B 83. D 84. D85. B 86. C 87. C 88. C 89. B 90. B 91. D92. D 93. B 94. C 95. D 96. D 97. D 98. C99. B 100. B



SAMPLE TEST PAPER-3SECTION – A (PHYSICS)

1. In case of projectile motion, for height H to be maximum, angle of projection should be :i z{ksI; xfr esa] H ds vf/kdr e eku ds fy ; s] i z{ksi .k dks.k gksuk pkfg, :(A) 45° (B) 90° (C) 60° (D) 30°

2. The gravitational unit of force is :(A) Newton (B) Dyne (C) kg-f (D) none of thesecy dk xq: Roh; ek=kd gS :(A) U; wVu (B) Mkbu (C) kg-f (D) buesa l s dksbZ ugha

3. Which of the following quantity is a scalar quantity ?(A) Force (B) displacement (C) Pressure (D) All of the abovefuEufy f[ kr esa l s dkSul h j kf' k vfn' k j kf' k gSA(A) cy (B) foLFkki u (C) nkc (D) mi j ksDr l Hkh

4. The equivalent resistance between points b and c of the circuit shown in figure is :fp=kkuql kj i fj i Fk esa fcUnq b o c ds e/; r qY; i zfr j ks/k gS

(A) 50 (B) 30.33 (C) 20.25 (D) 26.67

5. A hydrogen gas filled balloon rises to a certain height in the atmosphere and then floats because anupthrust acting on the balloon at this height is :(A) less than the weight of balloon (B) equal to the weight of balloon(C) more than the weight of the balloon (D) stops to act on balloon, d gkbMªkst u xSl xqCckj s esa Hkj h t kr h gS xqCckj k ok; q e.My esa fdl h fuf' pr ÅapkbZ r d mBr k gS r Fkk fQjr Sj r k gSA D; ksafd ml ÅapkbZ i j xqCckj s i j mRIykod cy dk; Z dj r k gS :(A) xqCckj s ds Hkkj l s de (B) xqCckj s ds Hkkj ds cj kcj(C) xqCckj s ds Hkkj l s vf/kd (D) xqCckj s i j dk; Z ugha dj r k

6. A particle is executing simple harmonic motion between two points A and B, 8 cm apart. The amplitudeof the particle is :, d d.k nks fcUnq A o B ds e/; 8 cm dh nwj h i j l j y vkor Z xfr dj r k gS d.k dk vk; ke gksxk :(A) 8 cm (B) 16 cm (C) 4 cm (D) 2 cm

7. Visible range of light lies in wavelength range is :r j axnS/; Z i j kl esa n' ; i zdk' k dh i j kl mi fLFkr gksr h gS(A) 1 Å to 40000 Å (B) 4000 Å to 8000 Å(C) 8000 Å to 12000 Å (D) > 12000 Å

8. In an electric bulb , the filament used is made up of :(A) nichrome (B) iron (C) tungsten (D) constantanfo| qr cYc esa] r Ur q fdl dk cuk; k t kr k gS(A) ukbØkse (B) yksgk (C) VaxLVu (D) dkWUl VSuVSu



9. When electric current flows in a wire, it produces(A) an electric field (B) magnetic field(C) neither electric nor magnetic field (D) both electric and magnetic fieldt c fdl h r kj esa /kkj k i zokfgr gksr h gS r ks mRi Uu gksr k gS %(A) fo| qr {ks=k (B) pqEcdh; {ks=k(C) uk r ks fo| qr vksj uk gh pqEcdh; {ks=k (D) fo| qr r Fkk pqEcdh; {ks=k nksuksa

10. A circuit has a fuse of 10 A. The maximum number of 100 W (220 V) bulbs that can be safely used inthe circuit is :, d i fj i Fk ft l dk ¶; wt 10 A gSA 100W (220 V) ds cYcksa dh og vf/kdr e l a[ ; k t ks i fj i Fk esa l qj f{kr: i l s i z; ksx esa yk l ds] D; k gksxh(A) 22 (B) 24 (C) 20 (D) 15

11. The change in frequency due to Doppler effect does not depend on :(A) the speed of the source (B) the speed of the observer(C) the frequency of the source(D) separation between the source and the observerMkWIy j i zHkko ds dkj .k vkofÙk esa i fj or Zu fdl i j fuHkZj ugha dj r k gSA(A) L=kksr dh pky i j (B) i zs{kd dh pky i j(C) L=kksr dh vkofr i j (D) L=kksr r Fkk i zs{kd ds e/; nwj h i j

12. A current of 30 mA is flowing through a wire of resistance 50. The potential difference between twoends of the wire is :(A) 1.5 volt (B) 3 volt (C) 2 volt (D) 2.5 volt50 ds i zfr j ks/k r kj l s 30mA dh /kkj k i zokfgr gksr h gSA r kj ds nksuksa fl j ks ds e/; foHkokUr j gS(A) 1.5 oksYV (B) 3 oksYV (C) 2 oksYV (D) 2.5 oksYV

13. Figure shows the displacement-time graph of a particle moving on the X-axis.fp=kkuql kj x-v{k i j xfr ' khy fdl h d.k dk foLFkki u l e; xzkQ i znf' kZr gS (A) the particle is continuously going in positive x direction(B) the particle is at rest(C) the velocity increases up to a time t0, and then becomes constant(D) the particle moves at a constant velocity up to a time t0, and then stops(A) d.k /kukRed x fn' kk esa l r r ~ : i l s t k j gk gS(B) d.k foj ke voLFkk esa gS(C) osx l e; t0 r d c<+r k gS r Fkk fQj fu; r gks t kr k gS(D) d.k l e; t0 r d fu; r osx l s xfr dj r k gS r Fkk fQj : d t kr k gS

14. On tilting a body, the centre of gravity :(A) remains at same height (B) reaches at base(C) touches the top (D) nonefdl h oLr q dks >qdkus i j xq: Roh; dsUnz(A) l eku ÅapkbZ i j j gr k gS (B) vk/kkj i j i gqaqpr k gS(C) ' kh"kZ dks Nwr k gS (D) dksbZ ugha

15. is related with by the relation : r Fkk ds e/; l EcU/k gksr k gS(A) = 3 (B) = 2 (C) = (D) = /2



16. In the following reaction, the value of ‘*’ is

HCa*K 11

4220

3919

fuEufy f[ kr vfHkfØ; k esa ‘*’ dk eku gS

HCa*K 11

4220

3919

(A) n10 (B) H1

1 (C) He42 (D) 0

0

17. Amplitude of two waves are 0.2 mm and 0.3 mm respectively. The ratio between energy transmitted bythem is :nks r j axks ds vk; ke Øe' k% 0.2 mm o 0.3 mm gSA muds } kj k mRl ft Zr Åt kZ dk vuqi kr gksxk(A) 4/9 (B) 9/4 (C) 2/9 (D) 9/2

18. 1 calorie is equal to :1 dSyksj h fdl ds cj kcj gksr k gS(A) 107 ergs (B) 107 Joule (C) 4.2 Joule (D) 1/4.2 Joule

19. The pressure due to ocean water at the depth of 50 metre when average density of ocean water is1.03 × 103 kg/m3 [ g = 9.8 m/sec2 ] is :50 metre xgj kbZ i j l eqUnz ds i kuh ds dkj .k nkc t c l eqUnz ds i kuh dk vkSl r ?kuRo 1.03 × 103 kg/m3 [g = 9.8 m/sec2

] gksr k gS(A) 5.050 × 105 N/m2 (B) 5.050 × 104 N/m2

(C) 5.050 × 103 N/m2 (D) none of these buesa l s dksbZ ugha

20. The latent heat of vaporisation of ether is 84 k cal/kg. It is found that a certain mass of ether at itsboiling point needs 1260 k cal of heat for its complete vaporisation. The mass of ether taken is :bZFkj ds ok"i u dh xqIr Åt kZ 84 k cal/kg gSA ; g i k; k x; k gS fd bl ds DoFkukad fcUnq i j bZFkj ds fuf' prnzO; eku ds fy ; s i w.kZ ok"i u ds fy ; s 1260 k cal Å"ek dh vko' ; dr k gksr h gSA fy ; k x; k bZFkj dk nzO; ekugksxk(A) 10 kg (B) 12.5 kg (C) 15 kg (D) 17.5 kg

21. Image of an object kept infront of a concave lens is always :vor y ysal ds l keus j [ kh fdl h oLr q dk i zfr fcEc ges' kk gksr k gS(A) virtual, inverted and diminished (B) virtual, inverted and enlarged(C) virtual, erect and diminished (D) virtual, erect and enlarged(A) vkHkkl h] mYVk , oa NksVk (B) vkHkkl h] mYVk , oa cM+k(C) vkHkkl h] l h/kk , oa NksVk (D) vkHkkl h] l h/kk , oa cM+k

22. Refractive index of diamond with respect to vacuum is 2.5, the velocity of light in diamond is :fuokZr ds l ki s{k ghj s dk vi or Zukad 2.5 gS ghj s esa i zdk' k dk osx gksxk(A) 2.5 × 108 m/s (B) 1.2 × 108 m/s (C) 7.5 × 108 m/s (D) 0.8 × 108 m/s

23. Far point of a person is 4m, the power of lens required to see object at infinity is :fdl h O; fDr dk nqj LFk fcUnq 4m gSA vuUr i j fdl h oLr q dks ns[ kus ds fy ; s vko' ; d ysal dh {ker k gksxh(A) – 0.25 D (B) + 0.25 D (C) zero ' kwU; (D) infinity vuUr %

24. Einstein’s mass energy relation is :vkbUl Vkbu nzO; eku Åt kZ l EcU/k gksr k gS(A) E = mc2 (B) E = m/v (C) E = m2c (D) E = m/c2



25. The calorific value of biogas is 35 kJ/g. The heat produced by heating 0.6 kg of biogas is :ckW; ksxasl dk dSyksj h eku 35 kJ/g gSA 0.6 kg dh ckW; ksxsal dks xeZ dj us esa mRi Uu Å"ek gS(A) 21 × 103 J (B) 21 × 103 kJ (C) 21 × 106 kJ (D) 21 × 106 kJ

26. A body is displaced by 20 m at an angle of 60° by applying a force of 40 N. The work done will be:(A) 400 Joule (B) 200 Joule (C) 800 Joule (D) 100 Joule, d oLr q i j 60° ds dks.k i j 40 N dk cy vkj ksfi r dj r s gq; s 20m foLFkkfi r dh t kr h gS r ks fd; k x; k dk; Zgksxk(A) 400 t wy (B) 200 t wy (C) 800 t wy (D) 100 t wy

27. Plane mirror is a part of sphere of radius :(A) zero (B) infinity(C) nil since it is not a part of sphere (D) any value depending upon its sizel er y ni Z.k fdl h f=kT; k ds xksys dk Hkkx gksr k gS(A) ' kwU; (B) vuUr(C) ; g xksys dk Hkkx ugha gksr k (D) dksbZ Hkh eku bl ds vkdkj i j fuHkZj dj r k gS

28. A body moves along the sides AB, BC and CD of a square of side 10 m with velocity of constantmagnitude 3 m/s. Its average velocity will be :, d oLr q 3m/sec ds fu; r osx l s 10m Hkqt k okys oxZ dh Hkqt k AB, BC o CD ds vuqfn' k xfr dj r h gS bl dkvkSl r osx gksxk(A) 3 m/s (B) 0.87 m/s (C) 1.33 m/s (D) 1 m/s

29. Two resistances R1 and R2 are connected turn by turn (i) in parallel and (ii) in series. In which case theresultant resistance will be lesser than either of the individual resistances?(A) in parallel (B) can't be possible (C) in series (D) none of thesenks i zfr j ks/k R1 o R2 (i) l ekUr j Øe esa r Fkk (ii) Js.khØe esa t ksM+s t kr s gSA fdl fLFkfr esa i fj .kkeh i zfr j ks/kvyx&vyx i zfr j ks/kks l s de gksxk(A) l ekUr j esa (B) l EHko ugha gS (C) Js.kh esa (D) buesa l s dksbZ ugah

30. Choose the correct mirror-image of figure given below.uhps fn; s x; s fp=k esa l gh ni Z.k&i zfr fcEc pqfu; sA

(A) (B)

(C) (D)

SECTION – B (CHEMISTRY)31. The atomic masses of two elements A and B are 20 and 40 respectively . If x gm of A contains

y atoms , how many atoms are present in 2 x gm of B ?nks r Ro A r Fkk B dk i j ek.kq Hkkj Øe' k% 20 r Fkk 40 gSA ; fn A ds x xzke esa y i j ek.kq gks] r ks B ds 2 x xzkeesa fdr us i j ek.kq gksxs ?(A) 2 y (B) y (C) 4 y

2 (D) 27 y3



32. Calculate the density of an organic compound , the volume of 20 litres of it weighs 2000 gm .dkcZfud ; kSfxd dk ?kuRo Kkr dhft , A ft l ds 20 yhVj vk; r u dk Hkkj 2000 xzke gks ?(A) 0.1 g cm–3 (B) 0.01 g cm–3 (C) 100 g cm–2 (D) 1000 g cm–2

33. Zn + n H2SO4 ZnSO4 + SO2 + 2 H2O .The value of 'n' is :Zn + n H2SO4 ZnSO4 + SO2 + 2 H2O .'n' dk eku gksxk :(A) 3 (B) 5 (C) 4 (D) 2

34. The number of moles of CO2 in 2.2 gm of CO2 is :2.2 xzke CO2 esa CO2 ds fdr us eksy gksaxs :(A) 0.01 (B) 0.05 (C) 10 (D) 20

35. Number of molecules of water in 0.01 mole of water is :t y ds 0.01 eksy esa t y ds fdr us v.kq gksxs ?(A) 6.023 1023 (B) 6.023 1021 (C) 6.023 1020 (D) 6.023 1024

36. At 298 K the equilibrium concentration of reactants and products for the reaction , H2 (g) + I2 (g) 2 HI (g)are as follows .[ HI ] = 0.49 M , [ I2 ] = 0.06 M , [ H2 ] = 0.08 MCalculate the equilibrium constant of the reaction at this temperature .H2 (g) + I2 (g) 2 HI (g) ds fy , 298 K i j l kE; i j vfHkdkj d r Fkk mRi kn dh l kUnzr k fuEu gS[ HI ] = 0.49 M , [ I2 ] = 0.06 M , [ H2 ] = 0.08 Mbl r ki i j vfHkfØ; k dk l kE; fLFkj kad Kkr dhft ,(A) 10 (B) 50(C) 0.02 (D) 0.1

37. The equilibrium constant for the reaction , mA + nB pC + qD is :vfHkfØ; k, mA + nB pC + qD ds fy , l kE; fLFkj kad gksxk -

(A) kC = qp

nm

DCBA

(B) kC =

qp

bm

DCBA

(C) kC = nm

qp

BADC

(D) kC = q/1p/1

n/1m/1

BADC

38. 0.5 gm of a substance is dissolved in 25 gm of a substance . Calculate the percentage amount of thesubstance in the solution., d i nkFkZ ds 25 xzke esa , d i nkFkZ ds 0.5 xzke ?kqys gSA foy; u esa i nkFkZ dh i zfr ' kr ek=kk Kkr dhft ,(A) 1.96 % (B) 2.03 % (C) 1.54 % (D) 2.32 %

39. 149 gm of potassium chloride is dissolved in 10 litre of an aqueous solution of KCl . Determine themolarity of solution . [ K = 39 , Cl = 35.5 ]KCl ds 10 yhVj t yh; foy ; u esa 149 xzke i kSVsf' k; e ?kqyk gqvk gSA foy ; u dh eksy j r k Kkr dhft , A

[ K = 39 , Cl = 35.5 ](A) 0.2 (B) 0.05 (C) 1 (D) 0.001



40. How many atoms of copper are present in 0.35 mole of pure copper metal ?' kq) dkWi j /kkr q ds 0.35 eksy esa dkWi j ds fdr us i j ek.kq mi fLFkr gksxsa ?(A) 2.1 1023 atoms i j ek.kq (B) 5.3 1019 atoms i j ek.kq(C) 2.4 1023 atoms i j ek.kq (D) 3.6 1023 atoms i j ek.kq

41. Find the empirical formula of a compound that contains only C , H and O and has 55.8 % C and7.03 % H by mass., d ; kSfxd esa C , H r Fkk O gSA ft l esa nzO; eku ds : i esa 55.8 % C r Fkk 7.03 % H gks r ks ; kSfxd dkewykuqi kr h l w=k gksxkA(A) C3H2O (B) C2H3O (C) CH2O (D) C3H2O2

42. Which of the following is an element ?(A) Marble (B) Graphite (C) Washing soda (D) stonefuEu esa l s dkSul k , d r Ro gS ?(A) l axej ej (B) xzsQkbV (C) /kksus dk l ksMk (D) i RFkj

43. The empirical formula of a compound of molecular mass 120 is CH2O . The molecular formula of thecompound is :(A) C2H4O2 (B) C4H8O4 (C) C3H6O3 (D) all of these, d ; kSfxd ft l dk v.kqHkkj 120 gS] dk ewykuqi kr h l w=k CH2O gSA ; kSfxd dk v.kql w=k gksxk(A) C2H4O2 (B) C4H8O4 (C) C3H6O3 (D) mi j ksDr l Hkh

44. CaCO3 on thermal decomposition gives :(A) CaO (B) CO2 (C) O2 (D) Both (A) & (B)CaCO3 r ki fo?kVu } kj k nsxk(A) CaO (B) CO2 (C) O2 (D) (A) r Fkk (B) nksuksa

45. Find the number of moles of HCl required to produce 5 mole of Cl2 by the reaction ,MnO2 + 4 HCl MnCl2 + 2 H2O + Cl2vfHkfØ; k, MnO2 + 4 HCl MnCl2 + 2 H2O + Cl2 } kj k 5 eksy Cl2 mRi Uu dj us ds fy , HCl ds fdr us eksayksadh vko' ; dr k gksxh ?(A) 30 (B) 15 (C) 20 (D) 10

46. The IUPAC name of divinyl acetylene is :(A) hex – 1 , 5 – dien – 3 – yne (B) hex – 1 , 5 – diyne – 3 – ene(C) hex – 3 – en – 1 , 5 – diyne (D) hex – 1 , 5 – dien – 3 – oneMkbfoukby , l hVkbfyu dk IUPAC uke gksxk(A) gSDl – 1 , 5 – MkbbZu– 3 – vkbu (B) gSDl – 1 , 5 – Mkbvkbu – 3 – bZu(C) gSDl – 3 – bZu – 1 , 5 – Mkbvkbu (D) gSDl – 1 , 5 – MkbbZu – 3 – vkWu

47. The structure of 2– methyl propanal is :2– esfFky i zksi sukWy dh l j apuk gS

(A) H C–HC–CHO3

CH3

(B) CH –CH –CH–CHO3 2

CH3

(C) CH –CH–CH –CHO3 2

CH3

(D) CH3–CH2–CH2–CHO

48. C4H10 is burnt in the presence of O2. Then the amount of CO2 obtained will be :C4H10 , O2 dh mi fLFkfr esa t y r h gSA r c mRi Uu CO2 dh ek=kk gksxh :(A) 132 gm (B) 22 gm (C) 44 gm (D) 176 gm



49. Oxidation of ethanal gives :(A) ethanoic acid (B) formic acid (C) acetone (D) butanone, FksukWy ds vkWDl hdj .k i j fey r k gS ?(A) , Fksuksbd vEy (B) QkfeZd vEy (C) , fl VkWu (D) C; wVsukWu

50. The 3º alcohol among the following :fuEu esa l s 3º , YdksgkWy gS(A) (CH3)2CH–OH (B) (CH3)3C–OH(C) CH3–CH2–OH (D) (CH3)3C–CH2–OH

51. CaO + NH4Cl CaCl2 + X + H2O(l). (X) is a. , d gS :(A) N2 (B) NH3

(C) CaNH (D) None of these buesa l s dksbZ ugha

52. Which of the following is amphoteric oxidefuEu esa l s dkSul k mHk; /kehZ vkWDl kbM gS(A) Na2O (B) MgO (C) Al2O3 (D) CO2

53. Which of the following option is correct ?(A) Metals are generally electropositive(B) Metal oxides are generally basic oxides(C) s-block elements are generally metals(D) All of thesefuEu esa l s dkSul k fodYi l R; gS ?(A) l kekU; r % /kkr q fo| qr /kuh gksr s gS (B) /kkr q vkWDl kbM l kekU; r % {kkj h; vkWDl kbM gksr s gS(C) s-[ k.M r Ro l kekU; r % /kkr q gksr s gS (D) mi j ksDr l Hkh

54. Zone refining method is generally used for the purification of:(A) Germanium (B) Titatnium (C) Iron (D) ZincZone ' kqf) dj .k fof/k l kekU; r % fdl ds ' kqf) dj .k ds fy , mi ; ksx dh t kr h gS(A) t j esfu; e (B) fVVsfu; e (C) vk; j u (D) ft ad

55. The oxidation state of Cr in K2Cr2O7 is :K2Cr2O7 esa Cr dh vkWDl hdj .k voLFkk gksxh :(A) + 6 (B) +4 (C) + 8 (D) + 7

56. Which of the following pairs are isoelectronic(A) O2 and CO2 (B) N2 and CO (C) O2 and CO (D) N2 and CO2

fuEu esa l s dkSul k ; qXe l ebysDVªkWu gS(A) O2 r Fkk CO2 (B) N2 r Fkk CO (C) O2 r Fkk CO (D) N2 r Fkk CO2

57. In the extraction of nickel by the Mond’s process, the principle applied is :(A) Electrolysis of aqueous solution of nickel sulphate(B) Electrolysis of fused nickel chloride(C) Reduction of nickel oxide with coke(D) Formation of volatile nickel carbonylekUM i zØe } kj k fudy ds fu' d"kZ.k esa dkSul s fl ) kUr dk mi ; ksx gksr k gS %(A) fudy l YQsV ds t yh; foy ; u dk fo| qr vi ?kV~u(B) ¶; wt M fudy Dyksj kbM dk fo| qr vi ?kV~u(C) fudy vkWDl kbM dk dkWd } kj k vi p; u(D) ok"i ' khy fudy dkcksZfuy dk cuuk



58. The electronic configuration 2 , 8 , 8 , 4 corresponds to which element.bysDVªkWfu; foU; kl 2 , 8 , 8 , 4 fdl r Ro ds l UnHkZ esa gS(A) Sc (B) Al (C) Cl (D) Ti

59. Which of the following compound is maximum covalent ?fuEu esa l s dkSul k ; kSfxd vf/kdr e l gl a; kst d gS ?(A) ZnCl2 (B) MgCl2 (C) NaCl (D) MgS

60. The number of valence electrons in calcium atom is :dSfYl ; e i j ek.kq esa l a; kst h bysDVªkWu dh l a[ ; k gksxh(A) 10 (B) 12 (C) 8 (D) 2

61. The sum of roots of c1

bx1

ax1

is zero . Then product of the roots is :

c1

bx1

ax1

ds ewyks dk ; ksx ' kwU; gS] r ks ewyks dk xq.kuQy gksxk :

(A) 0 (B) 21

(a + b) (C) – 21

(a2 + b2) (D) 2 (a

2 + b2)

62. If f(x) = x + 1, g(x) = 2x + 3 and h(x) = g[f(x)] , evaluate h(5); fn f(x) = x + 1, g(x) = 2x + 3 vkSj h(x) = g[f(x)] r ks h(5) dk eku gS &(A) 10 (B) 15 (C) 9 (D) 8

63. If a + b + c = 0 the value ofabc

cab

bca 222

is :

; fn a + b + c = 0 , r ks abc

cab

bca 222

dk eku gksxk :

(A) 1 (B) – 1 (C) 0 (D) 3

64. 5 % of 10 % of Rs. 175 is equal to175 : i ; s dk 10 %

dk 5 % gksxk %

(A) Rs. 8.75 (B) Rs. 0.50 (C) Rs. 0.875 (D) Rs. 17.50

65. 1 litre of water is added to 5 liters of a 20 %solution of alcohol in water. Then strength of alcoholis20 % , Ydksgy okys 5 yhVj foy ; u esa , d yhVj t y feyk; k t kr k gS] r ks , Ydksgy dh ek=kk cr kvks %

(A) 12 21 % (B) 16 3

2 % (C) 24 % (D) 16 %

66. A sum was put at simple interest at a certian rate for 2 years . Had it been put at 3 % higher rate,it would have fetched Rs. 72 more. Find the sum :fdl h /ku dks fuf' pr nj i j 2 l ky ds fy , l k/kkj .k C; kt i j j [ kh t kr h gS] ; fn og nj l s 3 % T; knki j j [ kr k gS r ks 72 : i ; s T; knk i zkIr gksr k gS] r ks /ku gksxk %(A) Rs. 1000 (B) Rs. 1200 (C) Rs. 500 (D) Rs. 150

67. A bag contains Rs. 102 in the form of 50 paise and 10 paise coins in ratio 3 : 5. The number of 10 paisecoins is, d csx esa 102 : i ; s gS] t ks 50 i Sl s vkSj 10 i Sl s ds fl Dds ds : i esa gSA 50 i Sl s vkSj 10 i Sl s3 : 5 ds vuqi kr esa gS] r ks 10 i Sl s ds fl Ddks dh l a[ ; k cr kvks(A) 60 (B) 80 (C) 255 (D) 340



68. The length and breadth of a square are increased by 30 % and 20 % respectively. The area of therectangle so formed exceeds the area of the square by :fdl h oxZ dh yEckbZ vkSj pkSM+kbZ esa Øe' k% 30 % vkSj 20 % dh c<+ksÙkj h dh t kr h gS] r ks cuus okys vk; rdk {ks=kQy ] oxZ ds {ks=kQy l s fdr uk T; knk gksxk %(A) 20 % (B) 36 % (C) 50 % (D) 56 %

69. In a right angled triangle, the square of the hypotenuse is twice the product of the other two sides, thenthe angles of the trianglefdl h l edks.k f=kHkqt esa d.kZZ dk oxZ ' ks"k nksuks Hkqt kvksa ds xq.kuQy dk nqxquk gksr k gS] r ks f=kHkqt ds dks.kgksxs(A) 150 , 750 (B) 300 , 600 (C) 450 , 450 (D) 800 , 100

70. If tan A – tan B = x and cot B – cot A = y , then cot (A – B) is equal to :; fn tan A – tan B = x vkSj cot B – cot A = y gS

] r ks cot (A – B) fdl ds cj kcj gksxk %

(A) x y (B) x + y (C) y1

x1 (D)

y1x

71. If 26

tan3

tan

then the value of

6tan

3tan 22 is :

; fn 26

tan3

tan

] r ks

6tan

3tan 22 dk eku gksxk %

(A) 1 (B) 2 (C) 3 (D) 4

72. The circumference of two circle are P1 and P2 the circumference of a third circle, whose area isequal to the sum of the areas of first two circlesnks oÙkks dh i fj f/k P1 r Fkk P2 gS] r ks r hl j s oÙk dh i fj f/k fudkfy , ft l dk fd {ks=kQy nksuks oÙkks ds{ks=kQy ds ; ksx ds cj kcj gS

(A) 2

22

1 PP(B)

2PP 2

22

1 (C) 22

21 PP (D)

4

)PP( 221

73. In the equilateral ABC , BCAD then

fdl h l eckgq f=kHkqt ABC esa BCAD gS] r ks(A) 2 AB2 = 3 AD2 (B) 4 AB2 = 3 AD2

(C) 3 AB2 = 4 AD2 (D) 3 AB2 = 2 AD2

74. The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of 100 meterfrom its base is 450. If the angle of elevation of the top of the complete pillar at the same point is 600,then the height of the incomplete pillar is to be increased by :fdl h v/kqj s [ kEHks dk mUu; u dks.k vk/kkj l s 100 ehVj nqj h l s 450 gSA ; fn i wj s [ kEHks dk mUu; u dks.k ml hfcUnq l s 600 gks] r ks v/kqj s [ kEHks dh mpkWabZ esa fdr uh of} dh x; h &

(A) 250 m (B) 100 m (C) 13100 m (D) 13100 m

75. The value of

0

0

0

0

55sin35cos

21

50tan40cot

is : dk eku gksxk %

(A) 0 (B) 1 (C) 2

1(D) 2

1



76. If the perimeter of a rhombus is 4a and lengths of the diagonals are x and y then it's area is :; fn l epr qHkqZt dk i fj eki 4a gS] r Fkk fod.kksZ dh yEckbZ x vkSj y gS] r ks bl dk {ks=kQy gksxk

(A) a(x + y) (B) x2 + y2 (C) xy (D) xy21

77. The dimensions of the floor of a rectangular hall are m3m4 . The floor of the hall is to be tiled fully

with cm6cm8 rectangular tiles with out breaking tiles to smaller size. The number of tiles requiredisvk; r kdkj Q' kZ dh T; kfer h m3m4 gSA ml esa T; kfer h cm6cm8 T; kfer h dh VkbYl bl i zdkj yxkbZ

t kr h gS fd dksbZ Hkh VkbYl r ksM-dj NksVs vkdkj esa ugha yxk; h t kr h gS] VkbYl ks dh l a[ ; k fdr uh gksxh %(A) 4800 (B) 2600 (C) 2500 (D) 2400

78. In an A.P. 3rd term is 18 and 7th term is 30. The sum of it’s 17 terms from the beginning(A) 600 (B) 612 (C) 624 (D) none of thesefdl h l ekUr j Js.kh esa r r h; i n 18, l kr aok i n 30 gks] r ks ' kq: ds 17 i nks dk ; ksx gksxk %(A) 600 (B) 612 (C) 624 (D) buesa l s dksbZ ugh

79. Two trains are running on parallel lines in the same direction at a speed of 50 km/hour and 30 km/hourrespectively. The faster train crosses a man in slower train in 18 seconds. The length of the faster trainisnks j syxkfM; kWa , d gh fn' kk esa l ekukUr j Øe' k% 50 fdeh@?kaVk vkSj 30 fdeh@?kaVk dh xfr l s t k j gh gSAr st xfr okyh j syxkM+h] , d vkneh dks t ks /kheh xfr okyh j syxkM+h essa gS] dks 18 l sds.M esa i kj dj r h gS]r ks r st xfr okyh j syxkM+h dh yEckbZ gksxh(A) 100 m (B) 85 m (C) 90 m (D) 170 m

80. Two equal circles of radius r intersect such that each passes through the centre of the other. Thelength of the common chord is :nks l eku o+Ùk ft udh f=kT; k r gS] , d nql j s dks bl r j g dkVr s gS] fd os , d nwl j s ds dsUnz l s xqt j r s gS] r ksmudh mHk; fu"B t hok dh yEckbZ gksxh :

(A) r (B) 3r (C) 2r (D) 3r21

81. Two circles of radii 20 cm and 37 cm intersect at A and B. If O and O are their centres and AB = 24cm , then OO is equal to :

nks oRr 20 l seh vkSj 37 l seh dh f=kT; k okys vki l esa A vkSj B i j dkVr s gSA ; fn O vkSj O muds dsUnz

gS vkSj AB = 24 l seh r ks OO dk eku gksxk %(A) 45 cm (B) 44 cm (C) 51 cm (D) 40.5 cm

82. The length of two parallel chords of a circle , 1 cm apart are respectively 8 cm and 6 cm . Thedistance of the longer chord from the centre of the circle is :(A) 4 cm (B) 3.5 cm (C) 2 cm (D) 3 cmfdl h oRr dh nks l ekUr j t hokvks dh yEckbZ Øe' k% 8 l seh vkSj 6 l seh r Fkk e/; dh nqj h1 l seh gS] r ks oRr ds dsUnz l s cM+h t hok dh nwj h gksxh %(A) 4 l seh (B) 3.5 l seh (C) 2 l seh (D) 3 l seh

83. Sum of two numbers is 20 and their product is 40. The sum of their reciprocals is :nks l a[ ; kvksa dk ; ksx 20 gS vkSj mudk xq.kuQy 40 gS ] r ks l a[ ; kvks ds O; qÙkØeks dk ; ksx gS

(A) 101 (B) 2

1 (C) 4 (D) 2



84. Ajay invests Rs. 35000 in a bank at 7% p.a. How much more should he invest at9 % p.a. S.I. to get a 8% return on his investment ?(A) Rs. 32000 (B) Rs. 35000 (C) Rs. 30000 (D) none of thesevt ; us 7% i zfr o"kZ i j 35000 : i ; s cSad es t ek dj k; s] og 9% l k/kkj .k C; kt dh okf"kZd nj i j fdr ukvf/kd : i ; s t ek dj s fd ml s vi us /ku dk 8 % i zkIr gks %(A) Rs. 32000 (B) Rs. 35000 (C) Rs. 30000 (D) bues l s dksbZ ugh

85. Mahesh had 300 debentures of a company from which he received half yearly interest of Rs.750. Ifthe rate of intrest is 10 % annum, the face value of one debenture is(A) 55 (B) 50 (C) 60 (D) none of theseegs' k ds i kl , d dEi uh ds 300 ' ks; l Z gS] t ks dh og 750 : i ; s v) Z okf"kZd C; kt dh nj l s i zkIr dj r kgSA ; fn C; kt dh nj 10% okf"kZd gS] r ks , d ' ks; j dk vafdr eqY; gS %(A) 55 (B) 50 (C) 60 (D) bues l s dksbZ ugha

86. If ABCD is a cyclic quadrilateral then find which of the following statements is not correct; fn ABCD , d pØh; pr qZHkqt gS] r ks fuEu esa l s dkSu l k dFku l R; ugha gS &(A) sin(A + C) = 0 (B) sin(D + B) = 0(C) cos(B + D) = 1 (D) sin(A + B + C + D) = 0

87.ab1

b

aca1

a

cbc1

c

b

xx

xx

xx

is equal to : dk eku gksxk %

(A) x (B) 1/x(C) 1 (D) none of these buesa l s dksbZ ugh

88. The length of a tangent drawn from a point 8 cm away from the centre of a circle of radius 6 cm is

(A) 7 cm (B) 72 cm (C) 5 cm (D) 10 cmml Li ' kZ j s[ kk dh yEckbZ Kkr dhft , t ks fd 6 l seh f=kT; k ds oÙk ds dsUnz l s 8 l seh nwj , d fcUnq l s [ khphat kr h gS

(A) 7 l seh (B) 72 l seh (C) 5 l seh (D) 10 l seh

89. PQR is a right angled triangled QS is at right angles to the hypotenuse. The ratio PS /SR is equalto :PQR , d l edks.k f=kHkqt gS] QS d.kZ i j yEcor ~ gS] r ks PS /SR dk vuqi kr gksxk

(A) PQ/QR (B) PQ2/QR2 (C) QRPQ (D) PR.PR

90. If ; fn f (x) =

x1x1log then r ks

2x1

x2f is equal to : dk eku gksxk

(A) f(x) (B) 2f(–x) (C) f(2x) (D) 2f(x)

91. A shopper spends $ 25 to purchase floppy disks at 50 each. The next day the disks go on sale for 30 each and the shopper spends $ 45 to purchase more disks. What was the average price per disk

purchased ?, d nqdkunkj $25 ¶yksi h fMLd [ kj hnus i j [ kpZ dj r k gS t ks fd 50 dh gSA nwl j s fnu i zR; sd fMLd 30dh cspr k gS r Fkk nqdkunkj vf/kd fMLd [ kj hnus ds fy , $45 [ kpZ dj r k gS i zR; sd fMLd dh [ kj hn dh vkSl rewY; gksxk ?(A) 25 (B) 30 (C) 35 (D) 40



92. Shyam is 10 years older than Ram . However , 5 years ago shyam was twice as old as Ram. How isRam :' ; ke j ke l s 10 l ky cM+k gS] i j Ur q 5 o"kZ i woZ ' ; ke dh vk; q j ke dh vk; q dh nqxuh Fkh r ks j ke dh vk; q gksxh:(A) 5 (B) 10 (C) 12 (D) 15

93. The triangle to the right has side DC of the square at its base. IfDM = 5 and M is the midpoint of side AB, what is the area of shadedregion ?f=kHkqt dh Hkqt k DC oxZ dk vk/kkj gSA ; fn DM = 5 gS o M Hkqt k AB dke/; fcUnq gS r ks Nk; kafdr Hkkx dk {ks=kQy gS ?

(A) 25 (B) 10 (C) 15 (D) 10

94. Find the missing number in the boxfn; s x; s ckWaDl esa vKkr vad Kkr fdft , A(A) 4 (B) 5 (C) 6 (D) 7

95. What is the number of triangles in the following figure.fuEu fp=k es f=kHkqt ksa dh l a[ ; k gksxhA(A) 20(B) 26(C) 32(D) 36

96. In the following diagram there are three interlocking circles , I , S andP, where circle. I stands for Indians, circle S for scientists and circle Pfor politicians . Different regions of the figure are lettered from a to f .Indians who are politicians but not scientists.fuEu fp=k es r hu vUr Zfufgr or I, S o P gSaA t gk¡ or I Hkkj r h; ksa dksn' kkZr k gS] or S oSKkfudksa dks n' kkZr k gSA o or P j kt uhfr Kkas dks n' kkZr kgSA fp=k ds fofHkUu Hkkxkas dks a l s f r d ukekafdr fd; k x; k gSAos Hkkj r h; t ks j kt uhfr K gSa] i j oSKkfud ughaA(A) a (B) b (C) d (D) f

97. The mean weight of 150 students in a class is 60 kg. If the mean weight of boys in the class is 70kg and that of girls is 55 kg. The number of girls in the class will be :, d d{kk ds 150 Nk=ks dk ek/; Hkkj 60 kg. gSA ; fn yM+dks dk ek/; Hkkj 70 kg o yM+fd; ksa dk 55 kg. gS]r ks d{kk es Nk=kkvks dh l [ ; k gksxhA(A) 50 (B) 60 (C) 100 (D) 80

98. A businessman sells a pen for Rs. 24 /- and gains as much percent as the cost of the pen. The costprice of the pen will be -, d O; ki kj h , d i su 24 : i ; s es cspr k gS] o ml i su dh nj l s vf/kd i zfr ' kr ewY; i zkIr dj r k gS] i sudk okLr fod ewY; gksxkA(A) Rs. 15/- (B) Rs. 18/- (C) Rs. 20/- (D) Rs. 24/-

99. In a rectangle , if each of its side is shortened by 12 %, then its area will be lowered by :; fn , d vk; r dh i zR; sd l kbM 12 % de dj nh t k, r ks bl dk {ks=kQy fdr uk de gksxkA(A) 22.56 % (B) 25 % (C) 22.5 % (D) 23.21 %

100. What was the day of the week on 30th Jan 2002 ?(A) Monday (B) Tuesday (C) Wednesday (D) Thursday30 t uoj h 2002 ds fnu dkSu l k okj FkkA(A) l kseokj (B) eaxyokj (C) cq/kokj (D) xq#okj



SAMPLE TEST PAPER-31. B 2. C 3. C 4. D 5. B 6. C 7. B8. C 9. B 10. A 11. D 12. A 13. D 14. A15. A 16. C 17. A 18. C 19. A 20. C 21. C22. B 23. A 24. A 25. B 26. A 27. B 28. D29. A 30. C 31. B 32. A 33. D 34. B 35. B36. B 37. C 38. A 39. A 40. A 41. B 42. B43. B 44. D 45. C 46. A 47. A 48. D 49. A50. B 51. B 52. C 53. D 54. A 55. A 56. B57. B 58. D 59. A 60. D 61. C 62. B 63. D64. C 65. B 66. B 67. C 68. D 69. C 70. C71. B 72. C 73. C 74. C 75. D 76. D 77. C78. B 79. A 80. B 81. C 82. D 83. B 84. B85. B 86. C 87. C 88. B 89. B 90. D 91. C92. D 93. D 94. B 95. C 96. B 97. C 98. C99. A 100. C



SAMPLE TEST PAPER-4SECTION - A

1. In the given figure, if line l || m, then the value of x is

nh xbZ vkd fr esa l || m, r c 'x' dk eku Kkr dj ks&

(A) 100º (B) 70º

(C) 50º (D) none of these (dksbZ ugha)xº

30º80º B

mEF

l

A O C

D

2. How many numbrs are there between 100 and 1000 such that every digit is either 2 or 9 ?

100 r Fkk 1000 ds e/; fdr uh l a[ ; k; sa ft udk i zR; sd vad 2 ; k 9 gS\

(A) 5 (B) 8 (C) 9 (D) 12

3. The LCM of two numbers is 72 and their HCF is 12. If one of the numbers is 24, what is the other one ?

72 r Fkk 12 nks l a[ ; kvksa ds Øe' k% y?kqÙke r Fkk egÙke gS] ft uesa l s , d l a[ ; k 24 gS r ks nwl j h l a[ ; k gksxh&

(A) 38 (B) 26 (C) 36 (D) 42

4. A number is four times the other. If their difference is 45, the smaller numbers is ...

, d l a[ ; k nwl j h l a[ ; k dh 4 xquh gSA ; fn budk vUr j 45 gS r ks NksVh l a[ ; k gksxh&

(A) 16 (B) 21 (C) 11 (D) none of these (dksbZ ugha)

5. If p = 3 5 , q = 4 3 , r = 5 4 then the correct relationship is :

; fn p = 3 5 , q = 4 3 , r = 5 4 r ks l gh l EcU/k gSA

(A) p > q > r (B) q < r < p

(C) r > p > q (D) con’t be determined (Kkr ugha fd; k t k l dr k)

6. The average age of Priyambada’s family consisting of 5 members 3 years ago was 35 years. One year ago anew baby was born in this family. Three years hence the average age of the family will be :

fi z; Eonk ds i fj okj esa 3 o"kZ i woZ 5 l nL; FksA 3 o"kZ i woZ bu l c dh vkSl r vk; q 35 o"kZ FkhA 1 Ok"kZ i woZ buds i fj okj esa , d f' k' kqdk t Ue gqvkA 3 Ok"kZ i ' pkr ~ i fj okj dh vkSl r vk; q gksxh&

(A) 36 years (B) 34 56 years (C) 35

45 years (D) none of these (dksbZ ugha)

7. Two varieties of soda water with different prices is mixed in the ratio of 2 : 3 The price of first soda water is Rs.10 per litre while the price of second soda water is Rs. 15 per litre, respectively. The average price of the mixture(per litre) is :

l ksMk okVj dh nks fHkUu fdLekssa dks 2 : 3 ds vuqi kr esa feyk; k t kr k gSA i zFke fdLe dk nke 10 : i ; s i zfr yhVj gS r Fkk nwl j hfdLe dk nke 15 : i ; sa i zfr yhVj gSA bl feJ.k dk nke i zfr yhVj gksxk&




8. A, B and C have 40, x and y balls with them respectively. If B gives 20 balls A, he is left with half as many ballsas C. If together they had 60 more balls, each of them would have had 100 balls on an average. What is value ofx : y ?

A, B r Fkk C ds i kl Øe' k% 40, x r Fkk y xsnsa gSA ; fn B, A dks 20 xsnsa nsr k gS r ks ml ds i kl cph gqbZ xsnksa dh l a[ ; k C ds i klxsnksa dh l a[ ; k dh vk/kh gks t k; sxhA ; fn buesa l s i zR; sd dks 60 xsnsa vkSj nh t kr h gS r ks buds i kl t ks xsnsa gS] mudk vkSl r 100gksxkA x : y dk eku Kkr dj ks\

(A) 3 : 2 (B) 4 : 6 (C) 2 : 1 (D) 3 : 4

9. The length of a plot is decreased by 33.33%. By how much % the breadth of the plot will be increased so thatthe area remains constant?

, d IykWV dh yEckbZ 33.33% ?kV t kr h gSA bl dh pkSM+kbZ dh i zfr ' kr of) Kkr dj s r kfd IykWV dk {ks=kQy vi fj ofr Zr j gsA

(A) 20 % (B) 30% (C) 40 % (D) 50%

10. The profit percentage on the three articles A, B and C is 10% 20% and 25% and the ratio of the cost price is1 : 2 : 4. Also the ratio of number of articles sold of A, B and C is 2 : 5 : 2, then the overall profit percentage is :

r hu oLr qvksa A, B r Fkk C essa ykHk dk i zfr ' kr 10% 20% r Fkk 25% gS buds ykxr ewY; dk vuqi kr 1 : 2 : 4 gSA A, Br Fkk C ds foØ; ewY; dk vuqi kr 2 : 5 : 2 gS, r ks dqy ykHk dk i zfr ' kr Kkr dj sa&

(A) 18.5% (B) 21% (C) 75% (D) none of these (dksbZ ughsa)

11. In the adjoining figure ACB is a quadrant with radius ‘a’. A semicircle is drawnoutside the quadrant taking AB as a diameter. Find the area of shaded region :

fp=k esa] , d oÙk dk dsUnz C gS r Fkk nwl j s v/kZoÙk dk dsUnz AB dk e/; fcUnq gSA Nk; kafdr {ks=kQy Kkr dj s&

(A) 14

( – 2a2)

(B) 14

(a2 – a2)

(C) 2a

2

(D) can’t be determined (Kkr ugha fd; k t k l dr k)

12. Ajit is 3 times as efficient as Bablu, then the ratio of number of days required by each to work alone, completely?

vft r dh dk; Z{ker k ccyw dh 3 xquh gSA ; fn nksuksa i Fkd gksdj dk; Z dj r s gS r ks dk; Z i w.kZ dj us esa fy; s x; s l e; dk vuqi krgksxk &

(A) 3 : 1 (B) 1 : 3 (C) 6 : 8 (D) 3 : 6

13. If one pipe A can fill a tank in 20 minutes, then 5 pipes, each of 20% efficiency of A, can fill the take in :

i kbZi A gkSt dks 20 feuV esa Hkj r k gSA 5 i kbZi ksa dks bl gkSt dks Hkjus esa fdr uk l e; yxsxk ; fn mudh dk; Z{ker k A dh dk; Z{ker kdh 20% gS&

(A) 80 min (B) 100 min (C) 20 min (D) 25 min



14. In the give triangle ABC, CD, BF and AE are the altitudes. If the ratio ofCD : AE : BF = 2 : 3 : 4, then the ratio of AB : BC : CA is :

f=kHkqt ABC, esa CD, BF r Fkk AE ' kh"kksZa l s Mkys x; s yEc gSA

; fn CD : AE : BF = 2 : 3 : 4 gS] r ks AB : BC : CA gksxk :

(A) 4 : 3 : 2 (B) 2 : 3 : 4(C) 4 : 9 : 16 (D) 6 : 4 : 3

15. In a group of 132 people 50, 60, 70 people like the different sweets-Barfi, Jalebi, Rasgulla, respectively. Thenumber of people who like all the three sweets is half the number of people who like exactly two sweets. Thenumber of people who like exactly any two out of the three sweets is the same as those who like exactly anyother two of the three sweets. The number of people who like the three sweets :

132 O; fDr ; ksa ds , d l ewg esa 50, 60 r Fkk 70 O; fDr Øe' k% cQhZ] t ysch r Fkk j l xqYyk i l Un dj r s gSA r huksa feBkbZ; ksa dks i l Undj us okys O; fDr ; ksa dh l a[ ; k Bhd 2 feBkbZ; ksa dks i l Un dj us okyksa dh l a[ ; k dh vk/kh gSA bu r hu feBkbZ; ksa esa l s feBkbZ; ksads i zR; sd ; qXe dks i l Un dj us okys O; fDr ; ksa dh l a[ ; k l eku gSA r huksa feBkbZ; ksa dks i l Un dj us okys O; fDr ; ksa dh l a[ ; k gS&

(A) 12 (B) 6 (C) 8 (D) none of these (dksbZ ugh)

16. How many terms of the series 20 + 16 + 12 + .... amounts to 48?

Js.kh 20 + 16 + 12 + .... ds fdr us i nksa dk ; ksx 48 gksxkA

(A) 3 (B) 5

(C) 8 (D) both a and c (a r Fkk c nksuksa)

17. Two fair coins are tossed simultaneously. Find the probability of getting two heads

nks fl Dds mNkysa t kr s gS nksuksa esa fpr (Head) vkus dh i zkf; dr k gS&

(A) 27

(B) 14

(C) 12

(D) 45

18. Find the value of 2 32 3

2 32 3

dk eku gS&

(A) 7 + 3 (B) 7 + 8 3 (C) 7 + 2 3 (D) 7 + 4 3

19. An equilateral triangles is cut from its three vertices to form a regular hexagon. What is the percentage of areawasted?

, d l eckgw f=kHkqt dks ' kh"kksZa l s bl i zdkj dkVk t kr k gS fd ubZ vkdfr , d l e "kV~Hkwt gSA fdr uk i zfr ' kr {ks=kQy dk {k; gksxk&

(A) 20% (B) 50% (C) 33.33% (D) 66.66%

20. X is 5 times more efficient as Y, then the number of days taken by X and Y are in the ratio :

X dh dk; Z n{kr k Y dh dk; Z n{kr k l s 5 xquh gSA X r Fkk Y } kj k fdl h dk; Z dks i w.kZ dj us esa fy; s x; s l e; dk vuqi kr gksxk&

(A) 8 : 1 (B) 1 : 5 (C) 6 : 8 (D) 5 : 1



21. In the equilateral triangle ABC, AD = DE = BE, D and E lies on the AB. If each side

of the triangle (i.e., AB, BC and AC) be 6 cm, then the area of the shaded region is :

l eckgw f=kHkqt ABC esa] fcUnq D r Fkk E Hkqt k AB i j fLFkr gS] AD = DE = BE gSA ; fn

f=kHkqt dh Hkqt kvksa dh yEckbZ 6 l seh gS r ks Nk; kafdr {ks=kQy gksxk&

(A) 9 cm2 (B) 6 3 cm2

(C) 5 3 cm2 (D) none of these (dksbZ ugha)

22. Find the distance between the points (– 5, 3) and (3, 1) :

fcUnqvksa (– 5, 3) r Fkk (3, 1) ds e/; dh nwj h gS&

(A) 2 7 (B) 3 14 (C) 5 17 (D) 2 17

Comprehension For (Q.23 to 27)

The following bar diagram shows the production of food grains in India in different years.

fuEukfdar vkys[ k Hkkj r esa fHkUu o"kksZa ds vukt mRi knu dks i znf' kZr dj r k gSA

40

30

20

10

01987 1988 1989 1990 1991 1992

Prod

uctio

n (in

'000

tons

)

(year)

23. Out of the values for the given years, the highest production of food grains is observed for the year

fdl o"kZ esa vukt mRi knu l okZf/kd gqvk&

(A) 1989 (B) 1990 (C) 1991 (D) 1992

24. The difference (in 000 tons) between the production of food grains in 1992 and that in 1990 is

o"kZ 1992 ds mRi kn dk o"kZ 1990 ds mRi kn l s fdr uk vUr j gSA (gt kj Vuksa esa )

(A) 15 (B) 30 (C) 10 (D) 5

25. The percentage increase in the production of food grains in 1988 over that of the previous year is

o"kZ 1988 dk mRi kn fi Nys o"kZ ds mRi kn l s fdr uk i zfr ' kr vf/kd gS&

(A) 28% (B) 9% (C) 17% (D) 12%

26. The average produciton (in 000 tons) of food grains over the given time period is

bl l e; dky esa vkSl r mRi kn (gt kj Vuksa esa ) gS&

(A) 15 (B) 26 (C) 35 (D) 5

27. What is the production of food grains in 1991, expressed as a percentage of its production in 1989 ?

o"kZ 1991 dk mRi kn o"kZ 1989 ds mRi kn dk fdr uk i zfr ' kr gS&

(A) 25% (B) 20% (C) 75% (D) 30%



Comprehension (Q.28 to Q.32) : The table shows the sales of various consumer goods in 3 years.

fuEu l kj .kh dqN oLr qvksa ds fi Nys 3 o"kksZ esa foØ; dks i znf' kZr dj r h gSA

Year/Goods (Units) TV (units) VCR(units) Fridge (units) Total Yearly

sales1991 42500 1525 379911992 25679 3006 274521993 30448 6151 20623Total

28. The total number of units of consumer goods sold in 1991 is

o"kZ 1991 bu oLr qvksa dh dqy fdr uh bZdkbZ dk foØ; gqvk&

(A) 56137 (B) 80216 (C) 82016 (D) 51637

29. The percentage increase in the sales of VCRs in the year 1993, over that of the previous year is

fi Nys o"kZ dh r qyuk esa o"kZ 1993 esa VCRs ds foØ; esa fdr uh of) gqbZ&

(A) 105% (B) 85% (C) 55% (D) 5%

30. The difference between the total sales of Fridge and that of TVs over the time period mentioned is

fÝt r Fkk Vhoh ds bl i w.kZ l e; dky essa dqy bdkbZ; ksa ds foØ; dk vUr j gS&

(A) 12651 (B) 15361 (C) 12561 (D) 11356

31. The percentage contribution of the total sales of Fridges to the total sales of hte consumer goods for the timeperiod mentioned is

bl l e; dky esa fÝt dk foØ; dqy oLr qvksa ds foØ; dk fdr uk i zfr ' kr gS&

(A) 58% (B) 29% (C) 44% (D) 36%

32. The sales of TVs for the year 1991 expressed as a percentage of the total sales of TV over the same time periodamounts to

o"kZ 1991 esa foØ; dh xbZ Vhoh bl i w.kZ l e; dky esa foØ; dh xbZ Vhoh dk fdr uk i zfr ' kr gS&

(A) 43% (B) 22% (C) 72% (D) 68%

33. What is the total area of the shaded portion if side of the square is 2a ?

; fn fn; s x; s oxZ dh , d Hkqt k 2a gS] r ks Nk; kafdr Hkkx dk dqy {ks=kQy gksxk\

(A) 6a2 (B) 3a2

(C) 4a2 (D) 8a2

34. If DE || FG, then the values of xº, yº and zº in the given figure are respectively

; fn DE || FG, r c fn; s x; s fp=k esa xº, yº r Fkk zº ds eku Øe' k% gSA

D E

C GBF

yº

xº 120º

50º zºA

(A) 50º, 60º, 70º (B) 60º, 70º, 50º (C) 50º, 70º, 60º (D) none of these (dksbZ ugha)



35. The flag of a newly formed forum is in the form, of three blocks each to be coloured differently. If there are fourdifferent colours on the whole to choose from, how many such designs are possible ?

, d l aLFkk ds u; s cuk; s x; s >.Ms esa r hu vyx&vyx j ax ds [ k.M j [ ks x; s gSA ; fn pkj fHkUu j axksa esa l s j axksa dks pqUkuk gks r ksfdr us fHkUu i zdkj ds i zk: i l EHko gS\

(A) 24 (B) 16 (C) 21 (D) 3636. The LCM of two number is 36 and their HCF is 6. If one of the numbers is 12, then the other is

nks l a[ ; kvksa dk y?kqÙke l eki oÙ; Z 36 gS r Fkk mudk egÙke l eki oÙ; Z 6 gSA ; fn , d l a[ ; k 12 gks r ks nwl j h l a[ ; k gksxh&


37. If 4x is 6 less than 4y, then y – x is equal to; fn 4x , 4 y l s 6 de gks] r ks y – x =

(A) – 24 (B) 32

(C) 23

(D) 32

38. Find the number of zeros at the end of the product of 2222 × 5555

2222 × 5555 ds vUr esa ' kwU; ksa dh l a[ ; k Kkr dj s&

(A) 101 (B) 202 (C) 111 (D) 222

39. ABC is an equilateral triangle and PQRS is a square inscribed in the trianglein such a way that P and Q lie on AB and R, S lie on BC and AC respectively.What is the value of RC : RB ?

ABC , d l eckgq f=kHkqt gS r Fkk PQRS bl f=kHkqt esa fLFkr , d oxZ gS ft l ds fcUnq P o Q,

AB i j fLFkr gS r Fkk R, S Øe' k% BC RkFkk AC i j fLFkr gSA RC : RB dk eku gksxk\

(A) 1 : 2 (B) 1 : 3 (C) 3 : 2 (D) 1 : 2

40. In a triangle ABC, O is the centre of incircle PQR, BAC =65º, BCA = 75º, find ROQ :

, d f=kHkqt ABC esa] O vUr %oÙk PQR dk dsUnz gSA

BAC = 65º, BCA = 75º, ROQ = ?

(A) 80º (B) 120º

(C) 140º (D) can’t be determined (Kkr ugha fd; k t k l dr k)

SECTION - B

41. Brass is an alloy of czkl fd l dk feJ /kkr q gSA

(A) iron & tin (B) iron & zinc (C) copper & tin (D) copper & zinc(A) vk; j u o fVu (B) vk; j u o ft Ud (C) dkWi j o fVu (D) dkWi j o ft Ud

42. The IUPAC name of neo-pentane is : fu; ks i sUVsu dk IUPAC uke gS :(A) 2-methyl butane (B) 3-methyl pentane (C) 2, 2-dimethyl propane (D) 2-ethyl propane(A) 2-esfFky C; wVsu (B) 3-esfFky i sUVsu (C) 2, 2-MkbZesfFky i zksi su (D) 2-, fFky i zksi su



43. Polyethene is a polymer of : i ksyh, Fkhu fd l dk cgqyd gS :(A) ethane (B) ethyne (C) ethene (D) none of these(A) , Fksu (B) , Fkkbu (C) , Fkhu (D) buesa l s dksbZ ugh

44. Which of the following is known as methyl carbinol ?(A) ethanol (B) methyl ethyl ether (C) acetaldehyde (D) acetic acidfuEu esa l s fd l s esfFky dkchZukWy ds uke l s t kuk t kr k gS ?(A) , FksukWy (B) esfFky , fFky bZFkj (C) , fl VsfYMgkbM (D) , fl fVd vEy

45. The formula of acetone is : , fl Vksu dk l w=k gS

(A) CH3–CHO (B) CH3–CH2–CH2–CHO

(C) CH3–

O

C–CH2–CH3 (D) CH3–

O

C–CH3

46. The chemical reactions which absorb heat from the surroundings are :(A) exothermic (B) endothermic (C) combustion (D) neutralisationj kl k; fud vfHkfØ; k t ks okr koj .k l s Å"ek vo' kksf"kr dj r h gS] dgykr h gS ?(A) Å"ek{ksi h (B) Å"ek' kks"kh (C) ngu (D) mnkl huhdj .k

47. A compound (88 gm) on analysis gave C = 24 gm, H = 4 gm, O = 32 gm, N = 28 gm. Its empirical formulais :, d ; kSfxd (88 gm) ds i j h{k.k i j C = 24 gm , H = 4 gm , O = 32 gm , N = 28 gm fey r k gSA ml dk ewykuqi kr hl w=k gS

(A) C2H4O2N2 (B) C2H4N2O (C) C2H2ON2 (D) C2H4NO2

48. Equal masses of oxygen , hydrogen and methane are taken in a container in identical conditions . Findthe ratio of their moles ., d i k=k esa l eku i fj fLFkfr ; ksa esa vkWDl ht u] gkbMªkst u r Fkk esaFksu dks l eku vk; r u esa fy ; k t kr k gSA muds eksyksa dk vuqi krKkr dhft , A

(A) 1 : 16 : 2 (B) 32 : 16 : 2 (C) 1 : 1 : 1 (D) 2 : 16 : 32

49. Water gas is mixture of : t y xSl feJ.k gS :(A) CO + H2 (B) CO + N2 (C) CO2 + H2 (D) N2 + H2

50. Which of the following is the isoelectronic pair?fuEu esa l s dkSul k l ebysDVªkWfud ; qXe gS(A) Na+ and Li+ (B) NO3

– and CO3–2 (C) PO4

–3and CO3–2 (D) Mg+2 and Cl–

51. According to Archimedes principle, the loss in weight of a body after immersing it into liquid dependsupon :(A) the weight of the body (B) density of the body(C) the weight of water displaced (D) none of the abovevkfdZfefMt fl ) kUr ds vuql kj ] nzo ds vUnj fdl h oLr q dks Mqcksus ds ckn oLr q ds Hkkj esa deh fdl i j fuHkZj dj r h gS:(A) oLr q ds Hkkj i j (B) oLr q ds ?kuRo i j

(C) gVk; s x; s i kuh ds Hkkj i j (D) buesa l s dksbZ ugha



52. The wavelength of light is 6000 Å. Then its frequency is :i zdk' k dh r j ax nS/; Z 6000 Å gS r ks bl dh vkofr gksxh :(A) 5 × 1014 Hz (B) 5 × 1010 Hz (C) 5 × 1012 Hz (D) 5 × 1015 Hz

53. The temperature of a body is an indicator of(A) total energy of the molecules of the object (B) average energy of the molecules of the object(C) total velocity of the molecules of the object (D) average kinetic energy of the molecules of the objectfd l h oLr q dk r ki n' kkZr k gS :(A) oLr q ds v.kqvksa dh dqy Åt kZ (B) oLr q ds v.kqvks dh vkSl r Åt kZ

(C) oLr q ds v.kqvks dk vkSl r osx (D) oLr q ds v .kqvks dh vkSl r xfr t Åt kZ

54. The rate of nuclear reaction depends on : (ukfHkdh; v fHkfØ; k dh nj fuHkZj dj r h gS :)(A) Pressure (B) Volume (C) Temperature (D) none of these(A) nkc (B) vk; r u (C) r ki (D) buesa l s dksbZ ugah

55. The pressure at a point in a liquid depends on :(A) depth of point below the free surface (B) density of liquid(C) acceleration due to gravity (D) all of the abovefd l h nzo esa fdl h fcUnq i j nkc fuHkZj dj r k gS :(A) eqDr l r g l s uhps fcUnq dh xgj kbZ i j (B) nzo ds ?kuRo i j

(C) xq: Roh; Roj .k i j (D) mi j ksDr l Hkh

56. Where should an object be placed so that a real and inverted image of the same size is obtained using aconcave mirror ?(A) Beyond centre of curvature (B) At centre of curvature(C) At infinity (D) At the focusfd l h oLr q dks dgka j [ kk t kuk pkfg, ft l l s fd og l eku vkdkj okLr fod , oa mYVk i zfr fcEc vor y ni Z.k dks ysr s gq; s

i zkIr fd; k t k l dsA

(A) oØr k dsUnz ds fi Ns (B) oØr k dsUnz i j (C) vuUr i j (D) Qksdl i j

57. A block is about to slide down an inclined plane when its inclination to the horizontal is If now a 5kgweight is attached on the block,(A) it is still about to slide down the plane.(B) it will not slide down the plane unless the inclination is increased.(C) it will not slide down the plane unless the inclination is decreased.(D) it will never slide down whatever be the inclination.ur r y i j j [ kk , d xqVdk ml l e; fQl yus okyk gS t c ml ur r y dk dks.k {kSfr t ds l kFk gSA ; fn bl l e;5kg dk Hkkj bl xqVds l s t ksM+ fn; k t kr k gS r ks %(A) vc Hkh ; g xqVdk ur r y i j fQl yus okyk gSA(B) xqVdk ur r y i j r c r d ugha fQl ysxk t c r d fd ur r y dk {kSfr t l s dks.k c<+k; k ugha t k; sA(C) xqVdk ur r y i j r c r d ugha fQl ysxk t c r d fd ur r y dk {kSfr t l s dks.k ?kVk; k ugha t k; sA(D) xqVdk ur r y ds {kSfr t ds l kFk fd l h Hkh dks.k ds fy , ugha fQl ysxkA

58. An old person moves on a semi circular track of radius 40 m during a morning walk. If he starts at one endof the track and reaches at the other end, then the displacement of the person is :, d o) O; fDr v) Zor kdkj i Fk ft l dh f=kT; k 40 m gS] i j i zkr % dky xfr dj r k gSA ; fn og i Fk ds , d fl j s l s i zkj EHk

gks r Fkk nwl j s fl j s i j i gaqpr k gS r ks O; fDr dk foLFkki u gksxk :(A) zero ' kwU; (B) 40 m (C) 160 m (D) 80 m

59. A simple pendulum completes 60 oscillations in 30 seconds. Its time period is :, d l j y yksyd 30 l sd.M esa 60 nksyu i wj s dj r k gS bl dk vkor Zdky gksxk :(A) 2 sec (B) 4 sec (C) 0.5 sec (D) 1 sec



60. Two persons, pull each other through a massless rope in 'tug of war' game. Who will win ?nks vkneh j Ll k&dLl h ds [ ksy esa , d nwl j s d ks , d Hkkj ghu j Ll h d s ek/; e l s [ khap j gs gSa\ dkSu t hr sxk\(A) one whose weight is more(B) one who pulls the rope with a greater force(C) one who applies more friction force (shear force) on ground(D) one who applies more normal force (compressive force) on ground(A) og ft l dk Hkkj T; knk gSA

(B) og t ks j Ll h dks T; knk cy l s [ khapr k gSA

(C) og t ks t ehu i j v f/kd ?k"kZ. k cy ¼Li ' kZj s[ kh; cy ½ y xkr k gSA

(D) og t ks t ehu i j v f/kd v fHky Ec cy ¼ncko cy ½ y xkr k gSA

61. The most penetrating among the following is(A) -particle (B) -particle (C) deuterium nuclei (D) -raysfuEufy f[ kr esa l s dkSu vf/kd Hksnu {ker k okyk gS

(A) -d.k (B) -d.k (C) M~; wVsfj ; e ukfHkd (D) -fd j .ksa

62. A burner consumes 1g of L.P.G. in 50 sec. If calorific value of L.P.G. be 50 kJ/g, then the power ofconsumption of the burner will be :, d cuZj 50 sec esa LPG dk , d xzke [ ki r dj r k gSA ; fn L.P.G. dk dSyksj hQhd eku 50 kJ/g gks r ks] cuZj ds [ ki r

dh ' kfDr gksxh :(A) 1 W (B) 1 kW (C) 5 kW (D) 5 W

63. A current of 30 mA is flowing through a wire of resistance 50W. The potential difference between two ends of thewire is :(A) 1.5 volt (B) 3 volt (C) 2 volt (D) 2.5 volt50 ds i zfr j ks/k r kj l s 30mA dh /kkj k i zokfgr gksr h gSA r kj ds nksuksa fl j ks ds e/; foHkokUr j gS(A) 1.5 oksYV (B) 3 oksYV (C) 2 oksYV (D) 2.5 oksYV

64. Amplitude of two waves are 0.2 mm and 0.3 mm respectively. The ratio between energy transmitted bythem is :nks r j axks ds vk; ke Øe' k% 0.2 mm o 0.3 mm gSA muds } kj k mRl ft Zr Åt kZ dk vuqi kr gksxk(A) 4/9 (B) 9/4 (C) 2/9 (D) 9/2

65. 1 calorie is equal to :1 dSyksj h fd l ds cj kcj gksr k gS(A) 107 ergs (B) 107 Joule (C) 4.2 Joule (D) 1/4.2 Joule

66. In hydrogen bomb the process used is called gkbMªkst u ce esa dkSul h i zfØ; k mi ; ksx gksr h gS(A) fission (B) fusion (C) ionisation (D) None of these(A) fo[ k.Mu (B) l ay; u (C) vk; uu (D) fuEu esa l s dksbZ ugha

67. A body of mass 'm' collides against a wall with the velocity 'v' and rebounds with the same velocity. Itschange of momentum is -, d oLr q ft l dk nzO; eku 'm' gS , d nhokj i j 'v' osx l s Vdj k dj ml h osx l s oki l vk t kr h gS r ks ml ds l aosx esa i fj or Zugksxk -(A) 2mv (B) – mv (C) mv (D) 0

68. In the nuclear reaction , fn, x; s ukfHkdh; vfHkfØ; k ]

92U239 93Np239 + X , X stands for a/an : 92U

239 93Np239 + X esa X dk eku gksxk(A) electron (B) proton (C) neutron (D) duetron(A) bysDVªkWu (B) i zksVku (C) U; wVªkWu (D) M~; wVªkWu



69. The position-time graph for two objects A and B is shown in figurefn; s gq, fLFkfr &l e; xzkQ ds fy , fuEu esa l s dkSul k dFku l R; gS(A) both have same velocities

nksuksa l eku osx j [ kr s gSa(B) velocity of A is greater than that of B

A dk osx B ds osx l s vf/kd gS(C) velocity of B is greater than that of A

B dk osx A ds osx l s vf/kd gS(D) initially velocity of A is greater and after some time velocity of B is greater

i zkj EHk esa A dk osx vf/kd gS ckn esa B dk osx vf/kd gS

70. Light year is a unit of(A) time (B) distance (C) temperature (D) massi zdk' k o"kZ fuEu esa l s fd l dh bdkbZ gS &(A) l e; (B) nwj h (C) r ki (D) nzO; eku



ANSWER KEY

(SECTION - A)

1. (C) 2. (B) 3. (C) 4. (D) 5. (B) 6. (B) 7. (B)

8. (B) 9. (D) 10. (B) 11. (C) 12. (B) 13. (C) 14. (D)

15. (A) 16. (D) 17. (B) 18. (D) 19. (C) 20. (B) 21. (B)

22. (D) 23. (D) 24. (D) 25. (C) 26. (B) 27. (C) 28. (C)

29. (A) 30. (C) 31. (C) 32. (A) 33. (C) 34. (C) 35. (A)

36. (C) 37. (D) 38. (D) 39. (C) 40. (C)

SECTION - B

41. (B) 42. (C) 43. (C) 44. (A) 45. (D) 46. (B) 47. (B)

48. (A) 49. (A) 50. (B) 51. (C) 52. (A) 53. (D) 54. (D)

55. (D) 56. (B) 57. (A) 58. (D) 59. (C) 60. (C) 61. (D)

62. (B) 63. (A) 64. (A) 65. (C) 66. (A) 67. (A) 68. (A)

69. (C) 70. (B)



SAMPLE TEST PAPER-5APTITUDE

1. The following figure has four curves namely A, B, C and D. Study the figure and answer the item thatfollows.

Which curve indicates the exponential growth?(A) A (B) B (C) C (D) Duhps fn, x, fp=k esa] uker % A, B, C r Fkk D, pkj oØ i zLr qr gSaA fp=k dk v/; ; u dj ml ds uhps fn, x, i z' uka' k

dk mÙkj nhft , A

buesa l s dkSu&l k oØ pj ?kkr kadh of) dks bafxr dj r k gS\(A) A (B) B (C) C (D) D

Directions for the following 2 (two) items :The following pie charts show the break up of disease categories recorded in the patients from two towns,

Town A and Town B. Pie charts plot the disease categories as percentage of the total number of patients.Based on these, answer the two items that follow the charts.

Distribution of diseases in Town – A Distribution of diseases in Town – B



fuEufyf[ kr 2 (nks) i z' uka' kksa ds fy, funsZ' k :uhps fn, x, oÙk l afp=k ¼i kbZ pkVZ½ ' kgj A r Fkk ' kgj B, nks ' kgj ksa esa j ksfx; ksa esa feys j ksx oxksZa dks vyx&vyx n' kkZr k

gSA

oÙk l afp=k esa j ksx oxksZ dks j ksfx; ksa dh dqy l a[ ; k ds i zfr ' kr ds : i esa vafdr fd; k x; k gSA bu r F; ksa ds vk/kkj i j ]

oÙk l afp=k ds i ' pkr ~ fn, x, nks i z' uka' kksa ds mÙkj nhft , A

' kgj – A esa j ksxksa dk for j .k ' kgj – B esa j ksxksa dk for j .k

2. Which of the two towns has a higher number of persons with Diabetes?(A) Town A (B) Town B(C) Same in Town A and Town B (D) No inference can be drawnnksuksa ' kgj ksa esa l s fdl ' kgj esa Mk; fcVht l s xzLr O; fä ; ksa dh l a[ ; k v i s{kkd r vf/kd gS\

(A) ' kgj A (B) ' kgj B(C) ' kgj A vkSj ' kgj B esa l a[ ; k l eku gS (D) dksbZ vuqeku ugha fudkyk t k l dr k

3. What can we say about persons with more than one disease from these graphs?(A) There are likely to be persons with more than one disease in Town A.(B) There are likely to be persons with more than one disease in Town B.(C) There are likely to be persons with more than one disease in both Towns A and B.(D) No inference can be drawn.bu vkys[ kksa ds vk/kkj i j ge mu O; fä ; ksa ds ckj s esa D; k dg l dr s gSa ft Ugs , d l s vf/kd j ksx gS\

(A) ' kgj A esa , d l s vf/kd j ksxksa okys O; fä ; ksa ds gksus dh l aHkkouk gSA

(B) ' kgj B esa , d l s vf/kd j ksxksa esa , d l s vf/kd j ksxksa okys O; fä ; ksa ds gksus dh l aHkkouk gSA

(C) A r Fkk B nksuksa ' kgj ksa esa , d l s vf/kd j ksxksa okys O; fä ; ksa ds gksus dh l aHkkouk gSA

(D) dksbZ vuqeku ugha fudkyk t k l dr kA

4. Consider the following Velocity Time graph. It shows two trains starting simultaneously on parallel tracks.

With reference to the above graph, which one of the following statements is not correct?(A) Train B has an initial acceleration greater than that of Train A.(B) Train B is faster than Train A at all times.(C) Both trains have the same velocity at time t0.(D) Both trains travel the same distance in time t0 units.



fuEufyf[ kr osx&l e; vkys[ k i j fopkj dhft , A ; g vkys[ k nks , sl h j syxkfM+; ksa dks n' kkZr k gS t ks l ekar j i Vfj ; ksa

i j , d gh l e; i j pyuk ' kq: dj r h gSA

mi ; qZä vkys[ k ds l anHkZ esa] fuEufyf[ kr esa l s dkSu&l k , d dFku l gh ugha gS?(A) j syxkaM+h B dk i zkj afHkd Roj .k j syxkM+h A ds i zkj afHkd Roj .k dh v i s{kk vf/kd gSA

(B) j syxkM+h B l nk j syxkM+h A dh vi s{kk vf/kd r st nkSM+ j gh gSA

(C) l e; t0 i j nksuksa j syxkfM; ksa dk osx l eku gSA

(D) t0 l e; &bdkbZ esa nksuksa j syxkfM+; k¡ , dl eku nwj h r ; dj r h gSA

5. Consider the following distance time graph. The graph shows three athletes A, B and C running side by side fora 30 km race.

With reference to the above graph, consider the following statements :1. The race was won by A2. B was ahead of A up to 25 km mark3. C ran very slowly from the beginning.Which of the statements given above is/are correct?(A) 1 only (B) 1 and 2 only (C) 2 and 3 only (D) 1, 2 and 3fuEufyf[ kr nwj h&l e; vkys[ k i j fopkj dhft , A ; g vkys[ k A, B , oa C r hu , sl s /kkodksa dks n' kkZr k gS t ks l kFk&l kFk

30 km dh nkSM+ yxk j gs gSA

mi ; qZä vkys[ k ds l anHkZ esa] fuEufyf[ kr dFkuksa i j fopkj dhft , %

1. nkSM+ esa /kkod A dh t hr gqbZA

2. i zFke 25 km r d /kkod B /kkod A l s vkxs FkkA

3. /kkod C ' kq: l s gh cgqr /khj s nkSM+ j gk FkkA

mi ; qZä esa l s dkSu@dkSu&l s dFku l gh gS@gSa

(A) dsoy 1 (B) dsoy 1 vkSj 2 (C) dsoy 2 vkSj 3 (D) 1, 2 vkSj 3



6. Consider the following figures :

2 680 24

3 ?120 36

What is the missing number ?(A) 7 (B) 8 (C) 9 (D) 10uhps nh xbZ vkd fr ; ksa i j fopkj dhft , %

2 680 24

3 ?120 36

yqIr l a[ ; k D; k gS\(A) 7 (B) 8 (C) 9 (D) 10

7. Study the following figure :A person goes from A to B always moving to the right or downwards along the lines. How many different routescan be adopt?

Select the correct answer from the codes given below :(A) 4 (B) 5 (C) 6 (D) 7uhps nh xbZ vkd fr i j fopkj dhft , %

, d O; fä A l s B r d ges' kk j s[ kkvksa ds l kFk&l kFk nkfguh fn' kk esa vFkok uhps dh fn' kk esa c<+r s gq, t kr k gSA og

fdr us vyx&vyx ekxZ vi uk l dr k gS\

uhps fn, x, dwV dh l gk; r k l s l gh mÙkj pqfu, %(A) 4 (B) 5 (C) 6 (D) 7

8. Consider the following figure and answer the item that follows :

What is the total number of triangles in the above grid?(A) 27 (B) 26 (C) 23 (D) 22fuEufyf[ kr vkd fr i j fopkj dhft , vkSj ml ds uhps fn, x, i z' uka' k dk mÙkj nhft , %

mi ; qZä fxzM esa f=kHkqt ksa dh dqy l a[ ; k fdr uh gS\(A) 27 (B) 26 (C) 23 (D) 22



9. There are four routes to travel from city A to city B and six routes from city B to city C. How many routes arepossible to travel from the city A to city C?(A) 24 (B) 12 (C) 10 (D) 8' kgj A l s ' kgj B r d t kus ds fy, pkj j kLr s gS r Fkk ' kgj B l s ' kgj C r d t kus ds fy, N% j kLr s gSA ' kgj A l s

' kgj C r d t kus ds fy, fdr us j kLr s l aHko gS\(A) 24 (B) 12 (C) 10 (D) 8

10. A contract on construction job specifies a penalty for delay in completion of the work beyond a certain dateis as follows : Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day etc., the penaltyfor each succeeding day being Rs. 50 more than that of the preceding day. How much penalty should thecontractor pay if he delays the work by 10 days?(A) Rs. 4950 (B) Rs. 4250 (C) Rs. 3600 (D) Rs. 650fdl h fuekZ.k&dk; Z dh l afonk esa] , d fu/kkZfj r fr fFk ds i j s dk; Z l eki u esa nsj h ds fy, naM dk fofunsZ' k fd; k x; k

gS] t ks bl i zdkj gS % i gys fnu ds fy, : . 200, nwl j s fnu ds fy, : . 250, r hl j s fnu ds fy, : . 300, bR; kfnA

i zR; sd i j or hZ fnu ds fy, naM fi Nys fnu l s : . 50 vf/kd gSA ; fn dk; Z l ekIr gksus esa 10 fnu vf/kd yxr s gSa r ks

Bsdsnkj dks fdr uk naM vnk dj uk pkfg, \

(A) : . 4950 (B) : . 4250 (C) : . 3600 (D) : . 650

11. Consider the figure given below and answer the item that follows :

In the figure shown above, OP1 and OP2 are two plane mirrors kept perpendicular to each other. S is thedirection of a beam of light falling on the mirror OP1. The direction of the reflected beam of light from themirror OP2 will be(A) Perpendicular to the direction S (B) At 45º to the direction S(C) Opposite and parallel to the direction S (D) At 60º to the direction Suhps nh xbZ vkd fr i j fopkj dhft , vkSj ml ds i ' pkr ~ fn, x, i z' uka' k dk mÙkj nhft , %

Åi j nh xbZ vkd fr esa] OP1 vkSj OP2 nks l er y ni Z.k gSa t ks , d&nwl j s ds vuqyac fLFkr gSaA OP1 ni Z.k i j i M+us okyh

i zdk' k i qat dh fn' kk S gSA , sl s esa OP2 ni Z.k l s i j ofr Zr i zdk' k i qat dh fn' kk D; k gksxh\

(A) S fn' kk ds vuqyac (B) S fn' kk l s 45º i j

(C) S fn' kk ds foi j hr vkSj l ekar j (D) S fn' kk l s 60º i j


What is the minimum number of different colours required to paint the figure given above such that no twoadjacent regions have the same colour?(A) 3 (B) 4 (C) 5 (D) 6



13. uhps nh xbZ vkd fr i j fopkj dhft , vkSj ml ds i ' pkr ~ fn, x, i z' uka' k dk mÙkj nhft , %

Åi j nh xbZ vkd fr esa ; fn fdUgha Hkh nks fudVor hZ {ks=kksa esa , d t Sl k j ax ugha Hkj uk gks r ks bl vkd fr esa j ax Hkj us

ds fy, de&l s&de fdr us vyx&vyx j axksa dh t : j r gksxh\(A) 3 (B) 4 (C) 5 (D) 6


A square is divided into four rectangles as shown above. The lengths of the sides of rectangles are naturalnumbers. The areas of two rectangles are indicated in the figure. What is the length of each side of thesquare?(A) 10 (B) 11(C) 15(D) Connot be determined as the given data are insufficientuhps nh xbZ vkd fr i j fopkj dhft , vkSj ml ds i ' pkr ~ fn, x, i z' uka' k dk mÙkj nhft , %

Åi j fn[ kk, vuql kj , d oxZ dks pkj vk; r ksa esa foHkä fd; k x; k gSA vk; r ksa dh Hkqt kvksa dh yEckb; k¡ /kui w.kZ l a[ ; k, ¡

gSA vkd fr esa nks vk; r ksa ds {ks=kQy vafdr gSaA oxZ dh i zR; sd Hkqt k dh yEckbZ D; k gS\(A) 10 (B) 11(C) 15(D) fu/kkZfj r ugha fd; k t k l dr k D; ksafd fn, x, vk¡dM+s vi ; kZIr gSA

15. A person has only Rs. 1 and Rs. 2 coins with her. If the total number of coins that she has is 50 and theamount of money with her is Rs. 75, then the number of Rs. 1 and Rs. 2 coins are, respectively(A) 15 and 35 (B) 35 and 15 (C) 30 and 20 (D) 25 and 25, d O; fä ds i kl : . 1 r Fkk : . 2 ds fl Dds gSA ; fn ml ds i kl dqy 50 fl Dds gSa vkSj /ku&j kf' k : . 75 gS] r ks ml ds

i kl : .1 r Fkk : . 2 ds fl Ddksa dh l a[ ; k Øe' k%

(A) 15 vkSj 35 gS (B) 35 vkSj 15 gS (C) 30 vkSj 20 gS (D) 25 vkSj 25 gS

16. Three persons start walking together and their steps measure 40 cm. 42 cm and 45 cm respectively. Whatis the minimum distance each should walk so that each can cover the same distance in complete steps?(A) 25 m 20 cm (B) 50 m 40 cm (C) 75 m 60 cm (D) 100 m 80 cmr hu O; fä , d l kFk Vgyuk vkj aHk dj r s gSa r Fkk muds dneksa ds eki Øe' k% 40 cm, 42 cm r Fkk 45 cm gSA i zR; sd

O; fä fdr uh U; wur e nwj h r d pys r kfd i zR; sd O; fä l eku nwj h dks i w.kZ pj .kksa esa i wj k dj ys\(A) 25 m 20 cm (B) 50 m 40 cm (C) 75 m 60 cm (D) 100 m 80 cm



17. If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is theratio of the distances travelled by them in one hour?(A) 8 : 5 (B) 5 : 8 (C) 4 : 5 (D) 1 : 2; fn , d&l eku xfr l s pyus i j , d cl 4 ?kaVs esa 160 fdeh nwj h r ; dj r h gS r Fkk , d j syxkM+h 5 ?kaVs esa 320 fdeh

nwj h r ; dj r h gS] r ks buds } kj k , d ?kaVs esa r ; dh xbZ nwfj ; ksa esa D; k vuqi kr gS\(A) 8 : 5 (B) 5 : 8 (C) 4 : 5 (D) 1 : 2

18. There are 100 students in a particular class. 60% students play cricket, 30% student play football and 10%students play both the games. What is the number of students who play neither cricket nor football?(A) 25 (B) 20 (C) 18 (D) 15fdl h d{kk esa fo| kfFkZ; ksa dh l a[ ; k 100 gSaA 60% fo| kFkhZ fØdsV [ ksyr s gSa] 30% fo| kFkhZ QqVckWy [ ksyr s gSa r Fkk 10%fo| kFkhZ nksuksa [ ksy [ ksyr s gSaA , sl s fo| kfFkZ; ksa dh l a[ ; k D; k gS t ks u r ks fØdsV [ ksyr s gSa vkSj u gh QqVckWy [ ksyr s

gS\(A) 25 (B) 20 (C) 18 (D) 15

19 A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring20 m × 15 m × 6 m. The water of this tank will last for(A) 2 days (B) 3 days (C) 4 days (D) 5 days, d xk¡o dh t ul a[ ; k 4000 gS ft l ds fy, i zfr O; fä i zfr fnu 150 yhVj t y dh vko' ; dr k gSA bl ds i kl , d

i kuh dh Vadh gS ft l dh eki 20 m × 15 m × 6 m gSA i kuh dh Vadh dk t y fdr us fnuksa esa l ekIr gksxk\

(A) 2 fnuksa esa (B) 3 fnuksa esa (C) 4 fnuksa esa (D) 5 fnuksa esa20. A student on her first 3 tests received an average score of N points. If she exceeds her previous average

score by 20 points on her fourth test, then what is the average score for the first 4 tests?(A) N + 20 (B) N + 10 (C) N + 4 (D) N + 5vi us i zFke r hu i j h{k.kksa esa fdl h Nk=kk dk vkSl r i zkIr kad N vad gSA ; fn og v i us pkSFks i j h{k.k esa fi Nys vkSl r

i zkIr kad l s 20 vad vf/kd i zkIr dj r h gS] r ks i zFke pkj i j h{k.kksa dk vkSl r i zkIr kad D; k gS\(A) N + 20 (B) N + 10 (C) N + 4 (D) N + 5

21. In a group of persons, 70% of the persons are male and 30% of the persons are married. If two-sevenths ofthe males are married, what fraction of the females is single?(A) 2/7 (B) 1/3 (C) 3/7 (D) 2/3O; fä ; ksa ds , d l ewg esa] 70% O; fä i q: "k gSa vkSj 30% O; fä fookfgr gSaA ; fn i q: "kksa dk 2/7 Hkkx fookfgr gS] r ks

efgykvksa dk fdr uk Hkkx vfookfgr gS\(A) 2/7 (B) 1/3 (C) 3/7 (D) 2/3

22. The houses of A and B face each other on a road going north-south, A's being on the western side. A comesout of his house, turns left, travels 5 km, turns right, travels 5 km to the front of D's house. B does exactlythe same and reaches the front of C's house. In this context, which one of the following statements iscorrect?(A) C and D live on the same street(B) C's house faces south(C) The houses of C and D are less than 20 km apart(D) None of the abovemÙkj &nf{k.k t kr h , d l M+d i j vkeus&l keus A , oa B ds ?kj gSa] ft l esa A vi us ?kj l s ckgj vkr k gS] ck, ¡ eqM+r k gS]

5 km py dj D ds ?kj ds l keus i gq¡p t kr k gSA B Hkh Bhd&Bhd , sl s gh dj r k gS vkSj C ds ?kj ds l keus i gq¡p t kr k

gSA bl l anHkZ esa] fuEufyf[ kr esa l s dkSu&l k , d dFku l gh gS\

(A) C vkSj D , d gh l M+d i j j gr s gSA

(B) C ds ?kj dk eq[ k nf{k.k dh vksj gSA

(C) C vkSj D ds ?kj , d&nwl j s l s 20 km l s de nwj h i j gSaA

(D) mi ; qZä esa l s dksbZ ugha



Read the following passage and answer the 3 (three) items that follow :A, B, C, D and E are members of the same family. There are two fathers, two sons, two wives, three malesand two females. The leacher was the wife of a lawyer who was the son of a doctor E is not a male, neitheralso a wife of a professional. C is the youngest person in the family and D is the eldest. B is a male.

23. How is D related to E?(A) Husband (B) Son (C) Father (D) Wife

24. Who are the females in the group?(A) C and E (B) C and D (C) E and A (D) D and E

25. Whose wife is the teacher?(A) C (B) D (C) A (D) B

fuEufyf[ kr ys[ kka' k dks i f<+, vkSj ml ds i ' pkr ~ fn, x, 3 (r hu) i z' uka' kksa ds mÙkj nhft , :A, B, C, D , oa E , oa gh i fj okj ds l nL; gSaA nks fi r k gSa] nks i q=k gS] nks i fRu; k¡ gSa] r hu i q: "k gSa vkSj nks fL=k; k¡ gSaA

v/; kfi dk , d odhy dh i Ruh gS] ; g odhy , d MkWDVj dk i q=k gSA E i q: "k ugha gS vkSj u gh og fdl h L; ol k; h

dh i Ruh gSA i fj okj esa C l cl s de mez dk gS vkSj D l cl s cM+k gSaA B , d i q: "k gSaA

23. D dk E l s D; k l EcU/k gSa ?(A) i fr (B) i q=k (C) fi r k (D) i Ruh

24. bl l ewg esa fL=k; k¡ dkSu&dkSu gS ?(A) C vkSj E (B) C vkSj D (C) E vkSj A (D) D vkSj E

25. fdl dh i Ruh v/; kfi dk gS ?(A) C (B) D (C) A (D) B

Read the following passage and answer the 3 (three) items that follow :In a survey regarding a proposed measure to be introduced, 2878 persons took part of which 1652 weremales.1226 persons voted against the proposal of which 796 were males. 1425 persons voted for theproposal. 196 females were undecided.

26. How many females voted for the proposal?(A) 430 (B) 600 (C) 624 (D) 640

27. How many males were undecided?(A) 31 (B) 227 (C) 426 (D) 581

28. How many females were not in favour of the proposal?(A) 430 (B) 496 (C) 586 (D) 1226

fuEufyf[ kr ys[ kka' k dks i f<+, vkSj ml ds i ' pkr ~ fn, x, 3 (r hu) i z' uka' kksa ds mÙkj nhft , :fdl h , d i zLr kfor vH; qi k; dks ykxw dj us l s i woZ ml i j fd, x, , d l osZ{k.k esa 2878 O; fä ; ksa us fgLkk fy; k ft uesa

1652 i q: "k FksA 1226 O; fä ; ksa us i zLr ko ds fo: ) er fn; k] ft uesa l s 796 i q: "k FksA 1425 O; fä ; ksa us i zLr ko ds i {k

esa er fn; kA 196 fL=k; k¡ vfu.khZr FkhaA

26. fdr uh fL=k; ksa us i zLr ko ds i {k esa er fn; k\(A) 430 (B) 600 (C) 624 (D) 640

27. fdr us i q: "k vfu.khZr Fks ?(A) 31 (B) 227 (C) 426 (D) 581

28. fdr uh fL=k; k¡ i zLr ko ds i {k esa ugha Fkha \(A) 430 (B) 496 (C) 586 (D) 1226



29. In a queue, Mr. X is fourteenth from the front and Mr. Y is seventeenth from the end, while Mr. Z is exactlyin between Mr. X and Mr. Y. If Mr. X is ahead of Mr. Y and there are 48 persons in the queue, how manypersons in the between Mr. X and Mr. Z ?(A) 6 (B) 7 (C) 8 (D) 9

fdl h i afä esa] Jheku X l keus l s 14osa LFkku i j gSa vkSj Jheku Y var l s 17osa LFkku i j gSa] t cfd Jheku Z, Jheku

X ; fn Jheku Y ds vkxs gSa vkSj i afä esa dqy 48 O; fä gSa] r ks Jheku X vkSj Jheku Z ds chp fdr us O; fä gS\

(A) 6 (B) 7 (C) 8 (D) 9

30. Consider the following argument."In order to be a teacher one must graduate from college. All poets are poor Some Mathematicians arepoets. No college graduate is poor."Which one of the following is not a valid conclusion regarding the above argument?(A) Some Mathematicians are not teachers. (B) Some teachers are not Mathematicians.(C) Teachers are not poor. (D) Poets are not teachers.fuEufyf[ kr ; qfä i j fopkj dhft , %

" v/; ki d gksus ds fy, dkWyst dk Lukr d gksuk vko' ; d gSA l Hkh dfo fu/kZu gksr s gSA dqN xf.kr K dfo gksr s gSA dksbZ

dkWyst dk Lukr d fu/kZu ugha gSA"mi ; qZä ; qfä ds l anHkZ esa fuEufyf[ kr esa l s dkSu&l k , d] oS/k fu"d"kZ ugha gS\

(A) dqN xf.kr K v/; ki d ugha gSA (B) dqN v/; ki d xf.kr kK ugha gSA

(C) v/; ki d fu/kZu ugha gSA (D) dfo v/; ki d ugha gSA

SAMPLE TEST PAPER-51. (C) 2. (A) 3. (B) 4. (C) 5. (B) 6. (C) 7. (D)

8. (B) 9. (A) 10. (D) 11. (B) 12. (A) 13. (A) 14. (B)

15. (B) 16. (D) 17. (B) 18. (D) 19. (C) 20. (B) 21. (D)

22. (B) 23. (A) 24. (D) 25. (C) 26. (A) 27. (B) 28. (C)

29. (B) 30. (D)

question paper for class 10

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