Administrative and Production Offices · 2020. 2. 17. · Chhattisgarh 1 – 18 Bihar 1 – 18 Jharkhand 1 – 20 Rajasthan 1 – 20 Madhya Pradesh 1 – 20 Andhra Pradesh 1 – 24

Administrat ive and Production Offices

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Edition : 2019

A-45, Mohan Cooperative Industrial Area,Near Mohan Estate Metro Station,New Delhi - 110044

A-45, Mohan Cooperative Industrial Area,Near Mohan Estate Metro Station,New Delhi - 110044

ContentsNational Level Solved Papers

2019 1 – 482018 1 – 402017 1 – 462016 1 – 382015 1 – 342014 1 – 302013 1 – 382012 1 – 36

State Level Solved Papers2014

Karnataka 1 – 24 Odisha 1 – 20 Uttar Pradesh 1 – 22 Chandigarh 1 – 20 Chhattisgarh 1 – 18 Bihar 1 – 18 Jharkhand 1 – 20 Rajasthan 1 – 20 Madhya Pradesh 1 – 20 Andhra Pradesh 1 – 24 Tamil Nadu 1 – 20

2015 1 – 242016 1 – 302017 1 – 262018 1 – 26

Uttar Pradesh 1 – 20

Bihar 1 – 26

Madhya Pradesh 1 – 23

2019 1 – 26 Uttar Pradesh 1 – 19

Madhya Pradesh 1 – 21

MENTAL ABILITY TEST1. If,

+ = 10

+ + = 10

× – × = 5

then, the value of will be(1) 1.5 (2) 2.5(3) 5 (4) 7.5

2. How many parallelograms are there inthe given figure?

(1) 14 (2) 15(3) 16 (4) 17

3. A newspaper has 6 sheets consisting of24 pages in total. If page number 17 ofthe newspaper is missing then find theset of missing pages in that newspaper,from the alternatives given below:(1) 6, 7, 16, 17 (2) 7, 8, 17, 18(3) 8, 9, 17, 18 (4) 9, 10, 16, 17

4. The given figure in the question has fivesquare and four equilateral triangles. Twosquare and two triangles are shaded. Thefigure is folded along the dividing lines,the squares by 90° and triangles by 45° soas to form a closed three dimensionalobject. The object is then placed with itsapex pointing towards your left. Which one

NTSE - 2019NATI ONAL LEVEL

among the figures given in the alternativescan be seen?

(1) (2)

(3) (4)

5. Complete the following series : 6, 24, 60,?, 210(1) 96 (2) 120(3) 140 (4) 160

6. By studying the figure and numberrelationship, find the missing number ‘?’

26 9

3

715

32 6

4

818

41 2

7

199

33 4

3

158

(1) 5 (2) 6(3) 9 (4) 12

2 NTSE SOLVED PAPER – 2019

7. The opposite faces of Dice X are :[(5, 2), (6, 3), (4, 1)]

The opposite faces of Dice Y are :[(3, 5), (4, 1), (6, 2)]

Which figure can represent both Dice Xand Dice Y with faces shown below?

426

A

453

B

432

C

463

D

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

8. If

R S S T UN R S T

R T S3 7 8 4 9

then, find the code for T U R N S fromthe given alternatives provided there isno carrying over in the given additionusing letter codes.(1) 1 3 6 2 5 (2) 6 5 2 3 1(3) 1 6 3 5 2 (4) 5 3 1 2 6

9. A comparison of ages of A, B, C, D and Eare as follows.I. B’ s age is half the age of A.

II. B’ s age is 112

times the age of C.

III. D’ s age is 12 years less than C.

IV. D’ s age1

12

times the age of E.

V. The age of E is 12 years.

With the given data what will be thedifference in the ages of A and C?(1) 64 (2) 60(3) 40 (4) 36

10. If CLOUD = 11, BURST = 16 and ACE =3, then MONSOON = ?(1) 13 (2) 15(3) 17 (4) 19

11. Three dice are rolled simultaneously andthe numbers shown on all three dice areadded, then the total number of possibleways to have a sum of 7 is _______.(1) 12 (2) 13(3) 15 (4) 16

12. A comparison of marks scored by Gauri,Aaban, Seerat and Alvina in anexamination is as follows.I. Gauri has scored 15 marks less than

Aaban.II. Gauri has scored 20 marks more than

Seerat.III. Alvina has scored 10 marks less than

Seerat.To decide who has scored the highestmarks, identify the statement from thosegiven in the alternatives in respect ofsufficiency of data.(1) Data given in I and II are sufficient.(2) Data given in I and III are sufficient.(3) Data given in II and III are sufficient.(4) Data given in I, II and III are sufficient.

13. The number in the place of ‘?’ should be_______.

7 4 6

13

5 10 3

9 7 8

33

4 5 4

8 6 5

33

4 2 3

6 7 10

?

5 4 3(1) 30 (2) 32(3) 34 (4) 36

NTSE SOLVED PAPER – 2019 3

14. Find out which of the following figurescan be formed from the pieces given inthe figure ‘X’?

X

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

15. Find the missing number ‘?’ in the figuregiven below :

7 22 3 2

3 8 30 5

2

49 30 6

4

510 ? 7

5

6

(1) 30 (2) 32(3) 33 (4) 35

16. If MOBILE is coded as DFBICE, thenCHARGE is coded as(1) CHBXQE(2) CLARTE(3) CHAIGE(4) CHIAEF

17. Study the following information.If, ‘A$B’ means A is brother of B,‘A@B’ means A is wife of B,‘A#B’ means A is daughter of B and‘A£B’ means A is father of B.Based on the above information, whichof the following alternative represents thecorrect group of symbols that indicatesthe relationship for ‘K’ is father-in-law ofH’?(1) H@J$L#P£K(2) H@J$P£#K(3) H@J$L#K£P(4) H@P$J£L#K

Directions : (Q. 18 - 20): The followingfigures represent students who can play, singand dance.

Dance

A BC

D

E

F G

Play

Sing

18. Which part of the figure representsstudents who can sing and dance?(1) F (2) C(3) F and C (4) E and G

19. The number of students who can play ismore by ‘a’ than the number of studentswho can dance; and the number of studentswho can do both playing and singing is moreby ‘b’ than the number of students who cando both singing and dancing. Then what isthe difference of the number of studentswho can only dance and who can only play?

(1) a + b

(2) (2a – b) or (b – 2a)

(3) (a – 2b) or (2b – a)

(4) (a – b) or (b – a)20. It is given that the total numbers of

students in all the three disciplines aresame. Also, sum of the number ofstudents who can only dance, and twiceof the number of students who can do bothsinging and dancing, equals the sum ofthe students who can do both singing andplaying, and the students who can do bothdancing and playing. Then which amongthe alternatives is a correct statementabout the number of students who canonly play and those who can only sing?(1) The number of students who can only

sing is twice as many as the numberof students who can only play.

(2) The number of students who can onlysing is equal to the sum of the numberof students who can sing and danceand the number of students who canonly play and sing.


(3) The number of students who can onlyplay and sing equals the number ofstudents who can only dance and play.

(4) The number of students who can onlydance equals to the number ofstudents who can only sing.

21. Complete the following series1, – 8, 81, ?, 15625(1) –1022 (2) –1024(3) –4094 (4) –4096

22. Yaibiren is standing 4 meters East ofRajib, who is 1 metre North of Achira. IfSahibah is standing 3 metres South ofAchira, then in which direction of Yabirenis Sahibah?(1) North-East (2) North-West(3) South-East (4) South-West

23. Which of the following diagram indicatesthe best relationship among men, fathersand teachers?

(A) (B)

(C) (D)

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

24. Ishan wishes Irfan ‘Good Morning’ whenthe hour hand of a (measured clockwise)clock is positioned between 9 and 10. Theangle between the two hands is 145°. Thetime shown by clock is(1) 9.08 AM(2) 9.10 AM(3) 9.12 AM(4) 9.15 AM

25. If ‘15 + 10 means 5’; ‘6 × 3 means 9; ‘8 + 4means 32’; and ‘12 – 2 means 6’: thenwhat will be the value of 27 + 81 – 9 × 6?(1) 36 (2) 24(3) 12 (4) 6

26. Which number will replaced the ‘?’ in thefollowing sequence?5, 7, 14, 24, 42, ?, 119(1) 71 (2) 67(3) 65 (4) 63

27. What will be the missing term ‘?’ in thegiven series?AK, FP, ?, PZ, UE, ZJ(1) KU (2) JT(3) JU (4) KV

28. In a family of four members there isfather, mother, son and daughter. Whensorted according to decreasing order oftheir ages, the order is father, mother,son and daughter. The differencebetween the age of father and mother is5 years. The difference between total ageof male members and female membersis 15 years. Also, the total age of childrenis 20 years, then the age of the son is________.(1) 10 years (2) 15 years(3) 20 years (4) 25 years

29. If the ninth day of a month is four dayearlier than Thursday then what day willit be on the twenty third day of themonth?(1) Monday (2) Wednesday(3) Friday (4) Sunday

30. Which number replaces the questionmark ‘?’ in the given figure?

8 20 2

12 10 ?

6

14

(1) 4 (2) 16(3) 18 (4) 22

31. Find the missing value ‘?’ in the followingseries.13, 34, 74, ?, 290(1) 168 (2) 170(3) 172 (4) 174


32. What number comes in place of ‘?’ in thegiven figure?

1 2 3 4 5

6 7 ?

4 2 7 2 3 4 1

6 3 9 5 4 9 6 3

(1) 9 (2) 8(3) 7 (4) 6

33. The following figures representinformation given against them.

Total number of students whoapplied for Board Examination.

Total number of student whoactually appeared at Board Examination.

Total number of urban students who

appeared at Board Examination.

Total number of students who

qualified at Board Examination.Based on the above information which ofthe following figure represent the abovefacts?

(1)

(2)

(3)

(4)

34. Five friends, P, Q, R, S and T read anewspaper. The one who reads first givesit to R. The one who reads last has takenit from P. T was neither the first nor thelast one to read. There were two readersbetween Q and P. Who reads thenewspaper last?(1) P (2) Q(3) R (4) S

35. A clock shows 0.5 : 45. A plane mirror iskept on the right of the clock, with itsplane perpendicular to the face of theclock. What will be shown by the mirrorimage?(1) 06 : 45 (2) 05 : 15(3) 06 : 15 (4) 07 : 15

36. In a certain code language “Kolkata iscultural hub of India’ is coded as “2463”and “Mumbai is financial hub of India” iscoded as “3472”. Then in the samelanguage “India is hub of democracy” maybe coded as(1) 2 4 3 9 (2) 2 4 3 7(3) 3 2 4 9 (4) 3 2 4 7

37. Which letter is midway between 13thletter from the left and the 4th letter fromthe right in the sequence given below?USBEYFHKOPRAWCGJMQDIVLNTXZ(1) O (2) Q(3) P (4) M

38. Which of the following figure (s) can notbe drawn without either lifting the pen orre-tracing any line?

(A) (B)

(C) (D)

(1) Only A (2) Both A and B(3) Only C (4) Both C and D


39. Find the missing values in place of thequestions marks in the given pattern.

1 X 5 ? 34 1 3 8 21

Y 2 U H?

(1)I

13 (2)N10

(3)M13 (4)

Z18

40. What will be the missing number in thegiven series1332, 732, 348, ? , 36, 12(1) 32 (2) 132(3) 148 (4) 216

41. Find the missing term ‘?’ in the givenfigure.

I12

A2

D6 ?Y30

(1) N10 (2) P20(3) O24 (4) Q16

42. If, a > b, a > 0, and b 0, then which ofthe following statements is always true?(1) a × b > 0 (2) a × b < 0(3) a × b is undefined (4) a × b2 > 0

43. In certain code language‘way to win’ written as AAaa aaaa AAAa,‘Go to Walk’ is written as Aaaa aaaaAAAA,‘Get up early’ is written as AaAa AaaAaaAA.Then, how can ‘Always go to morningwalk early’ be written in the codelanguage?(1) aaAA Aaaa aaaa aaaA AAaa aaAA(2) aaAA Aaaa aaaa aaaA AAAA aaAA(3) aaAA AaAa aaaa aaaA aaAA AAaa(4) aaaA AaAa aaaa aaAA AAAA aaAA

44. If + means ×; means –; – means +; and× means , then 2 + 12 × 4 – 6 6 is equalto _____.(1) 0 (2) 6(3) 12 (4) 49

45. In the given equation, which twonumbers in the expression on the lefthand side will be interchanged to form acorrect equation ?5 + 4 × 8 12 – 3 = 3(1) (3, 5) (2) (4, 12)(3) (3, 4) (4) (8, 5)

46. If a, b, c, d and e are positive numbers,and it is given that, a + b = c + d, b + d =2a, d + e > a + b and c + d > a + e then,which of the following statement is true?(1) d > a > b > e > c(2) d > b > e > a > c(3) a > b > c > d > e(4) a > d > b > e > c

45. Kashvi facing towards rising sun turned toher left and walks for 60 m. She then turnedto west and walked for 15 m. Then sheturned towards left at an angle of 45° andreached 95 m from her original position.How much total distance did she travel?(1) 95 m (2) 115 m(3) 155 m (4) 175 m

48. A cube is coloured on all the six faces withsix different colours - black, brown, green,red, yellow and blue. Red face is opposite to the black face. Green face is between red and black

faces. Blue face is adjacent to yellow face. Brown face is adjacent to blue face Red face is in the bottom.Which of the following are adjacent togreen?(1) Black, yellow, brown, red(2) Blue, black, red, yellow(3) Red, black, blue, yellow(4) Yellow, blue black, red


49. A watch gains 10 seconds in 3 minutes. Itwas set right at 9 A.M. In the evening ofthe same day, when the watch indicateshalf past 6 ‘o clock, the true time is(1) 5 : 30 : 00 P.M. (2) 5 : 48: 10 P.M.(3) 5 : 58 : 20 P.M. (4) 6 : 08 : 20 P.M.

50. Given is real and that(A) x2 = 49, (B) x3 = 343Examine the given alternatives in respectof arriving at the Conclusion : x = 7 andfind which is valid.I. Only A is sufficient to answer the

question.II. Only B is sufficient to answer the

question.III. Either A or B alone is sufficient to

answer the question.IV. Both A and B together are sufficient

to answer the question.(1) I (2) II(3) III (4) IV

51. Find the values of ‘x’ and ‘y’ from thefigure given below.

20 42

x

72

110

y

12 5 7 8 9

11 13 4

(1) 65, 150(2) 46, 125(3) 56, 156(4) 56, 165

52. In a certain code ‘COUNTRY’ is writtenas ‘ZSUOVPD’. How is ‘TEACHER’written in the same code?(1) SUTIFED(2) REHCAET(3) QDGBDS(4) SFIDBFU

53. What number should replace the questionmark?

15 13

13

17

12

19

16 2 2 3 6

324

162

1412

11

12

1015

18

?

(1) 15 (2) 14(3) 13 (4) 10

Directions (Q. 54-58) : A B C, D, E, F and Gare seven teachers. Each’ one teaches only oneand different language from among Konkani,Hindi, Malayalam, English, Manipuri, Tamiland Kannada on different days of a week. Cteaches Malayalam on Friday. B teachesKonkani on the next day of the day on whichthe concerned” teacher teaches English. Fteaches on Thursday but neither teaches Hindinor English . D teaches Tamil on the previousday on which day F teaches. A teaches Kannadaon Tuesday. G teaches on the next day of theday on which the concerned teacher teachesMalayalam. E does not teach English.54. Which subject does E teach?

(1) Tamil (2) Hindi(3) Manipuri (4) Malayalam

55. On which day B teaches ?(1) Monday (2) Friday(3) Wednesday (4) Sunday

56. Which language does F teach?(1) Manipuri (2) Kannada(3) Tamil (4) English

57. Which language does G teach?(1) Hindi (2) English(3) Kannada (4) Konkani


58. On which day D teaches?(1) Saturday(2) Tuesday(3) Wednesday(4) Thursday

59. One morning at 8 A.M. Navneet andRavneet were standing on a lawn withtheir back towards each other at thedistance of 100 m. Navneet’s shadow fellexactly towards his left hand side. After15 minutes, Ravneet turns 135°anticlockwise. Which direction Ravneetis facing now?(1) North-East(2) North-West(3) East(4) South-East

60. Find the missing number.2, 3, 7, _______, 2112(1) 36 (2) 45(3) 46 (4) 49

61. In a code BH = 16, DO = 60 and TA = 20,then the code for BAT = ?(1) 20 (2) 30(3) 40 (4) 60

62. The figure given below is prepared bysome sticks and provides an equation thatis incorrect. How many minimumnumbers of sticks must be removed fromthe left hand side to make it a correctequation?

(1) 1 (2) 2(3) 3 (4) 4

63. If 63578 is to 1415,56732 is to 185,and 34124 is to 86,then, 72648 is to?(1) 1215 (2) 1415(3) 1512 (4) 1514

64. Two friends Mr. A and Mr. B standaccording to figure 1. The two friendsthen interchange their positions as givenin figure 2.

110 cm

B

Wall

A

130 cm

A

Wall

B

The height of the wall from the ground is_____.(1) 115 cm (2) 120 cm(3) 127.5 cm (4) 130 cm

65. In a certain coding scheme, consonantsand vowels are coded differently asillustrated below:C is coded as 6.Z is coded as 52.E is coded as 9.O is coded as 29.Then find the sum of numerals in thecoded version of FAITH(1) 84(2) 85(3) 86(4) 87

66. In a class 20% of students are below 14years of age. Out of the remainingstudents 10% are of the age 14-15 yearsand ratio of students who are between15-16 years of age to student above 16years of age is 3 : 2. If the number ofstudents who are above 16 years is 72,what is the total number of students inthe class?


(1) 200 (2) 250(3) 300 (4) 400

67. Study the figure given below representinga particular number in a coded manner,

0

63

5

2

For example, the number 6825 coded bythe following symbols-

Based on the above information find thenumber coded for the following symbols.

(1) 63205 (2) 11309(3) 11523 (4) 65230

68. Five friends decided to play a game ofbadmintion. Each of the five plays againstevery other friend. The winner gets twopoints for each game he or she wins andthe loser gets zero. Then which of thefollowing cannot represent the scores offive friends?(1) 4, 4, 4, 4, 4 (2) 6, 4, 4, 4, 2(3) 8, 8, 2, 2, 0 (4) 6, 6, 4, 2, 2

69. Study the given figure and answer thefollowing question

1

2 3 4

5 6 7

8 9

10

11 12

13

Let x denote sum of numbers present inat least 2 circles and y denote sum ofnumbers present in exactly 3 circles.Then x – y = __________.(1) 11 (2) 25(3) 36 (4) 61

70. Choose the correct mirror image of thefollowing figure, if the mirror is placedas shown.

Mirror-

(1)

(2)

(3)

(4)

71. Observe the figures given below :

(1) (2)

(3) (4)

(5) (6)

(7) (8)

(9)


Based on the above figures identify thecorrect group of categorization?(1) 1, 3, 6; 2, 4, 9; 5, 7, 8(2) 1, 2, 3; 4, 5, 8; 6, 7, 9(3) 1, 6, 8; 3, 5, 9; 2, 4, 7(4) 1, 3, 6; 2, 5, 7; 4, 8, 9

72. Raju invited friend George for a dinner athis house. When George asked for thedirection of Raju’s house, Raju gave himthe following instruction:Proceed 140 metres south from your housethen walk 200 metres to east. Then turn tonorth and walk 100 meters. After than, walk160 metres to west.What is the shortest distance between thetwo houses and the direction to Raju’shouse from George’s house?

(1) 40 2 metres and north-west

(2) 40 2 metres and south-east

(3) 80 metres and south-east(4) 80 metres and north-west

73. In a code language if ‘APPEAL’ is coddedas ‘256572’ and ‘PLAY’ is coded as ‘7259’then in the same language ‘PEARL’ willbe coded as (each number code stands forunique alphabet) ______.(1) 25768 (2) 25387(3) 67522 (4) 25679

Directions : (Q. 74-76) : Five students Ujith,Mahi, Rizan, Sahir and Amelia appeared foran examination in English and Mathematics.I. Sahir scored more marks than Amelia in

Mathematics but scored less in Englishthan Ujith and Mahi.

II. In Mathematics Rizan scored more marksthan Amelia but less than what Mahi hasscored.

III. Amelia scored more than Rizan in EnglishEnglish and Rizan scored more than Mahiin English.

IV. Ujith scored more than Mahi inMathematics but less than Rizan inEnglish.

V. Sahir scored less than Mahi inMathematics.

74. The least scorer in Mathematics and topscorer in English are respectively(1) Sahir and Ujith(2) Amelia and Amelia(3) Ujith and Sahir(4) Ujith and Ujith

75. Which of the following cannot bedetermined?(1) Amelia scored more than Mahi in

English.(2) Mahi scored more than Amelia in

Mathematics.(3) Sahir scored less than Mahi both in

Mathematics and English.(4) Ujith scored less than Mahi in English

76. Which of the following is necessarilycorrect?(1) Rizan scored more than Sahir in

Mathematics.(2) Ujith scored more than Sahir both in

Mathematics and English(3) Sahir scored more than Ujith in

Mathematics.(4) Rizan scored more than Ujith both in

English and Mathematics77. The third day before 1st January 2019 was

Saturday. Which day will the fourth dayof March 2020 be?(1) Friday (2) Saturday(3) Wednesday (4) Thursday

78. Observe the given figure belowA B C

D E F

G

Based on the figure how many maximumnumbers of triangles can be formed withthe seven points A, B, C, D, E, F and G?(1) 21 (2) 24(3) 33 (4) 36


79. Find the correct mirror image for thefollowing problem figure from thealternatives.

(A) (B)

(C) (D)

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

80. A circular disc is cut into two parts, Oneof the parts is given as the questionfigure. Which is the other part? Selectfrom the options.

(A)

(B)

(C)

(D)

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

81. Two figures on transparent sheets aregiven on the left side. When the upperfigure is exactly placed on the lowerfigure, find from the option figures howthe resultant looks like.

(A) (B) (C)

(D)

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

82. Find the missing part of the given figurefrom the alternatives which completesthe pattern.

(A)

(B)

(C)

(D)

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


83. Find the correct water image for thefollowing problem figure choosing fromthe alternatives.

Water -

(A) (B)

(C) (D)

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

Direction: (Q. 84-88) : In the followingquestion, there are statements followed byconclusions. Choose the conclusion(s) whichmust logically follow from the givenstatements.84. Statements:

A. Some grandmothers are mothers.B. Some mothers are daughters.C. All the daughters are married women.Conclusions:I. Some married women are mothers.II. Some daughters are grandmothers.III. No daughter is grandmother.IV. Some mothers are grandmothers.(1) Only I and II (2) Only II and III(3) Only II and IV (4) Only I and IV

85. Statements:A. Some students are smart-working.B. All Intelligent are smart-working.C. All the teachers are students.Conclusions:I. Some students are Intelligent.II. No teacher is smart-working.

III. Some intelligent are students.

(1) Either I or II (2) Only I & II(3) None of I, II & III (4) Only I & III

86. Statements:A. Some students are orators.

B. All orators are goalkeepers.C. Some goalkeepers are honest.

Conclusions:I. Some students are honest.

II. Some goalkeepers are students.(1) Only conclusion I

(2) Only conclusion II(3) Both conclusion I and II

(4) Neither conclusion I nor II87. Statements:

A. Some men are women.B. All women are teachers.

C. Some teachers are doctors.Conclusions:I. Some doctors are women.II. Some teachers are women.

III. Some teachers are men.IV. Some doctors are men.

(1) Only I and II (2) Only I and IV(3) Only II and III (4) Only III and IV

88. Statements:A. Some candidates are students.

B. All children are citizens.C. All citizens are candidates.

Conclusions:I. Some citizens are students.

II. Some candidates are children.III. All children are candidates.

IV. No child is student.(1) Only I and II

(2) Only II and III(3) Only III and IV

(4) Only I, II and III


89. Study the figure given below:

(A)

(B)

(C)

(D)

(E)

Find which figure is to be removed,starting from A, so that all fit into apattern.(1) B (2) C(3) D (4) E

90. What is the minimum number of un-shaded boxes to be crossed for coveringthe shortest path from ‘A to ‘B’ (bothexclusive) without retracing the path andwithout diagonal movements?

A

B

(1) 8 (2) 9(3) 10 (4) 11

91. Observe the figures given below:

(A) (B)

(C) (D)

The odd one out from the given figure is(1) A (2) B(3) C (4) D

92. A river flows along the East-Westdirection. On a particular day in themorning Kisku was seen at a place ‘A’located on the northern side the river andon the same evening he was seen at aplace ‘B’ located on the southern side ofthe river.Following are the comments made by fourfriends - Paulomi, Mimee, Sabeena andGrayson.I. Paulomi said, Kisku must have

crossed the river only once.II. Sabeena said, Kisku might have

crossed the river four times.III. Mimee said, he might have crossed it

five times.IV. Grayson said, he might have crossed

it any number of times.Choose the correct alternative from thefollowing:(1) Only I is correct(2) Only II is correct(3) I or III is correct(4) I and II are correct

Directions (Q. 93-94) : In a town of 1000people, 570 read Hindi newspaper, 424 readEnglish newspaper and 254 read Punjabinewspaper. 40 read only Hindi and Panjabinewspaper, 58 read only Hindi and Englishnewspaper, and 70 read only Punjabi andEnglish newspaper. 100 read no newspaper.


93. How many people read only newspaper?(1) 570 (2) 642(3) 914 (4) 968

94. How many people read all the threenewspapers?(1) 40 (2) 58(3) 70 (4) 90

95. Complete the given letter analogy.LTFQIW : YGSJVD : : DOIYKV : ?(1) QBVIXL(2) WLRBCl(3) QLVBXE(4) QBVLXJ

96. The given pie-diagram shows the streamsopted by students at senior-secondarylevel.

Commerceand Management

ComputerScience

Basic Applied

Arts18%

35%

10% 25%

12%

Science Science

If sum of the angles for the students whoopted different streams is 144° then thestreams are ____.(1) Arts, Applied Science.(2) Basic Sciences, Computer Science.(3) Basic Sciences, Commerce and

Management.(4) Applied Sciences, Computer Science,

Commerce and Management.97. Four relations have been given as

alternatives (p), (q), (r), (s), out of whichonly one becomes acceptable if the signs,+ and and the number, 4 and 5 aremutually interchanged. Identify thatrelation.

(1) 24 + 8 × 4 = 20 5(2) 20 4 × 16 + 5 = 75(3) 3 × 24 + 5 = 16 4(4) 20 5 – 6 = 3 × 30 + 4

98. There are 20 steps to go to the first floorof a building from the ground floor. A childstarts climbing up from the first step ofthe ground level. Mother starts coming,down from the fourth step from the floorlevel of the first floor. If both have startedat the same time with same speed, atwhich step would they meet countingfrom the first step from the floor level ofthe first floor?(1) 9 (2) 10(3) 11 (4) 12

99. The following question consists of fourproblem figures marked as A, B, C andD. Select a figure in place of ‘?’ for E whichwill continue the series established by thefour problem figures, A, B, C, D.

(A) (B)

(C) (D)

(E) ?

(1) (2)

(3) (4)


100. Which one of the following venn diagramsrepresents the relation among men,doctors and patients in a hospital?

(A)

(B)

(C)

(D)

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

SCHOLASTIC APTITUDE TEST1. A set of guidelines called a model code of

conduct is enforced during Parliamentaryelections in India to avert corruptpractices.This is applied to ________(1) Political parties only(2) Political parties and voters(3) Political parties and candidates(4) Candidates contesting elections only

2. A country has the ultimate rights andpower to make decisions on internal andexternal matters. Also it is not dictatedby any external power on its decisionsrelating to its relation with other country.Which feature is reflected in thesestatements?(1) Republic (2) Socialism(3) Sovereignty (4) Authoritarian

3. Anti-defection law is an importantfeatures of Indian party system. The finalauthority to decide on the disqualificationof a member of the Parliamentwith respect to anti-defection lies withthe _______(1) President(2) Prime Minister(3) Chief Justice the Supreme Court of

India(4) Speaker of the Lok Sabha or the

Chairman of the Rajya Sabha4. Which of the following statements

exemplify the independence of judiciaryin India?I. Judiciary is not under the control of

executive and legislature.II. There is less scope for interference in

the working of judiciary by thepolitical executive

III. A judge of higher judiciary can beremoved only through a resolution

which requires rd2

3 majority of both

the houses of parliament.Choose the correct option.(1) I and II (2) I and III(3) I, II and III (4) II and III

5. Rajya Sabha is also called upper house,elders house and permanent house.Which of the statement/s given below is/are true about it?I. Rajya Sabha has more power related

to financial matters.II. Rajya Sabha members continue to be

in office till the next general election.III. Resolution for removing the Vice-

President and the Presidentoriginates in Rajya Sabha.

IV. Number of seats allotted to a state inthe Rajya Sabha is directlyproportionate to its population.

(1) I, II and III (2) III and IV(3) I and IV (4) IV only


6. In the context of Indian elections, theparties which fail to gain majority in theParliament play the role of opposition.Consider the following statements andchoose which statement/s is/are NOTtrue.I. Opposition Parties in India play an

important role in building publicopinion.

II. Opposition Parties are notconstitutionally recognized.

III. Opposition immediately assumespower of government, if the majorityparty loses its vote of confidence inthe Parliament.

IV. Opposition Parties keep a close checkon the activities of the government.

(1) I and II only (2) II and III only(3) III only (4) IV only

7. Consider the following statements:Statement I: All countries that aredemocratic have written constitution.Statement II: All countries that havewritten constitution are not necessarilydemocratic.Which of the above statements is/arecorrect?(1) I only (2) II only(3) Both I and II (4) Neither I norII

8. China exports a toy to India at Rs. 150,whereas the same toy is manufacturedand available in India for Rs. 250. WhenChina continues to export this toy toIndia, this trade practice is knownas _______.(1) dumping(2) export promotion(3) import substitution(4) export subsidisation

9. Shruti and Gautami were discussing aboutIndia’s GDP and Kerala’s SDP. Some ofthe observations made were:

I. Kerala’s per capita SDP is India’s GDPdivided by Kerala’s population in aparticular year.

II. Since Kerala has best literacy rate andexcellent quality of life indices, it musthave the highest SDP.

III. In a federal structure if we know allthe SDPs we can have a fair idea of howbig India’s GDP will be in that year.

IV. Kerala’s per capita SDP in a particularyear is the value of all final goods andservices produced by the Kerala statein that year divided by Kerala’spopulation in that year.

Which of the above statements arecorrect?(1) I and III (2) II and III(3) III and IV (4) I, III and IV

10. Shehnaaz joined a coaching institute fora professional course. At the time ofjoining the course, she paid a lump sumfee for the entire course of two years.However, she did not find the quality ofteaching satisfactory and decided to quitafter one year. When she asked for arefund of the fee for one year she wasrefused. Which of the following rights ofShehnaaz was/were violated?I. Right to chooseII. Right to representIII. Right to be informedIV. Right to seek redressal(1) Only I (2) I and IV(3) III and IV (4) Only IV

11. Which of the following reflects situationwhere a person is employed but do notcontribute in adding to the total product?I. Open unemploymentII. Disguised unemploymentIII. Seasonal unemploymentIV. Frictional unemployment(1) I and II (2) Only II(3) III and IV (4) Only IV


12. There are 100 households in the villageof Awangkhul, of which the loan takenby 20 households are from the State Bankof India, another 20 households fromtheir friends and relatives, 5 householdsfrom Indian Bank, 10 households from aRegional Rural Bank, 15 households frombusinessmen, 10 households from villageheadmen and 20 households fromcooperative societies. Which of thefollowing inference(s) is/are correct ?

I. Formal sources of credit are lowerthan the others.

II. Institutional sources of credit arehigher than others.

III. Non-institutional sources of credit arehigher than others.

IV. Informal sources of credit are slightlyhigher than others.

(1) Only I (2) I and II

(3) Only II (4) III and IV

13. Which of the following statements aretrue about food security?

I. Landless people always have foodinsecurity.

II. Those who do not have enoughnutritious food are food insecure.

III. Those who have enough food but notthe requisite nutrition are food secure.

IV. Those who do not have enoughpurchasing power to buy sufficient foodare food insecure.

(1) I and III (2) I and IV

(3) II and III (4) II and IV

14. Siddhik issues a cheque of Rs. 19,000 infavour of Hanush. What happens whenthe cheque is received and processed inHanush’s bank?

I. There is no change in their bankaccounts.

II. Both their bank balances increase byRs. 19,000.

III. Siddhik’s bank balance decreases byRs. 19,000 and Hanush’s bank balanceincreases by the same amount.

IV. There is no change is Siddhik’s bankbalance although Hanush’s bankbalance sees an increase.

Based on the above statements whichoption is correct?(1) Only I(2) I and III(3) Only III(4) III and IV

15. The daily wage of a person in rural areais Rs. 180. Arrange the followinghouseholds in descending order ofvulnerability to poverty.

Name of the

Household

Person-days of

employment

Size of the Household

Working members

of the family

Ruldoo 14 4 2Mulkha 15 7 2Fakira 10 5 4Preeto 12 6 3

(1) Preeto > Mulkha > Fakira > Ruldoo(2) Mulkha > Preeto > Ruldoo > Fakira(3) Mulkha > Ruldoo > Preeto > Fakira(4) Ruldoo > Fakira > Mulkha > Preeto

16. The following graph shows thedistribution of mean monthlytemperature and average rainfall of aparticular city during the year.

0 5

10 15 20 25 30 35 40

Jan. Feb.Mar.Apr.May.Jun. Jul. Aug. Sep. Oct. Nov. Dec.0 5

10 15 20 25 30 35 40Tem

perature

Rainfall

(°Calsius)

(Centimeters)

Which one of the following cities showsthe climatic conditions presented in theabove graph?(1) Nagpur (2) Chennai(3) Jophpur (4) Bengalura


17. The average mean monthly temperaturesof four stations are given in the followingtable. The temperature is influenced bythe movements of land and sea breezes

Stations JAN FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DECA 14.4 16.7 29.3 30.0 33.3 33.3 30.0 29.4 28.9 25.6 19.4 15.6B 16.8 19.2 26.6 29.8 33.3 33.9 31.3 29.0 20.1 27.0 20.1 14.9

C 24.5 25.7 27.7 30.4 33.0 32.5 31.0 30.2 29.8 28.0 25.9 24.7D 21.5 23.9 28.3 32.5 35.5 32.0 27.7 27.3 27.9 26.7 23.1 20.7

MONTHSTemperature in Degree Celsius

Which one of these stations experiencesmaximum moderating influence of theland and sea breezes?(1) A(2) B(3) C(4) D

18. Observe the data given in the followingtable.

City Female Literacy Rate (%)

Male LeteracyRate (%)

(Sex-Ratio)

A 66.77 85.38 960B 71.16 82.67 980C 73.78 77.17 989D 59.26 79.24 972

Based on the above table, identify the citywhich has the extent of equality betweenmale and female better than the rest interms of the given parameters?(1) A(2) B(3) C(4) D

19. Ruhani observes sequential change inrelation to altitudinal zones and naturalvegetation types dominated by oak-chestnut: pinedeodar and silver fir-birch.Identify the proper sequence of vegetationtype she has observed from the following.(1) Alpine to Temperate to Subtropical(2) Subtropical to Temperate to Alpine(3) Subtropical to Alpine to Temperate(4) Temperate to Alpine to Subtropical

20. Observe the map given below.

Identify the shaded regions with theircorresponding geographical features andselect the correct option using the codesgiven below.

(1) A = Zone of laterite soil, B = Coffeeproducing area, C = Cotton textileindustries, D = Evergreen forest cover

(2) A = Evergreen forest cover, B : Coffeeproducing area, C : Zone of lateritesoil, D : Cotton textile industries

(3) A = Evergreen forest cover, B : Zoneof laterite soil, = C = Coffee producingarea, D : Cotton textile industries

(4) A = Cotton textile industries, B : Coffeeproducing area, C = Zone of lateritesoil, D = Evergreen forest cover

21. Which of the following geologicalsequence properly matches the tectonicevents from old to recent time periods?

(1) Formation of Aravalli - Deccanvolcanism - formation to Shiwalik -upliftment of Himadri

(2) Deccan volcanism - Formation ofAravalli - Upliftment of HimadriFormation of Shiwalik.

(3) Deccan volcanism - Formation ofShiwalik - Upliftement of Himadri -Fromation of Aravalli

(4) Formation of Aravalli - Deccanvolcanism - upliflment of Himadri -formation of Shiwalik.


22. The given map shows location of differentmountain peaks in India.

A mountaineer wants to scale themountain peaks in Peninsular Indiastarting from North to South. Identify thecorrect sequence of peaks themountaineer will follow?(1) A = Mahendragiri;, B = Anaimudi;

C = Dodabetta; D = Mahabaleshwar’(2) A = Dodabetta; B = Mahabaleshwar;

C = Mahendragiri; D = Anaimudi.(3) A = Anaimudi; B = Mahendragiri;

C = Dodabetta; D: Mahabaleshwar.(4) A = Mahendragiri;

B = Mahebaleshwar;C = Dodabetta; D = Anaimudi.

23. While teaching a topic on agriculture,geography teacher had made thefollowing statement about a particularcrop in her class, “Mean MonthlyTemperature of about 27°C, high relativehumidity, rainfall of 150 cm in summermonths and khaddar soils are the idealphysical requirements during the periodof its vegetative growth.”Which one of the following crops wasstated by the teacher?(1) Tea(2) Jute(3) Rubber(4) Sugarcane

24. Bibhuti was travelling to study thetraditional agricultural practices amongvarious communities in Meghalaya,Jharkhand, Odisha and Western Ghats.Identify the correct sequence of formsof cultivation practised in these regions.

(1) Jhumming - Kumari - Pama Dabi -Kuruwa

(2) Kuruwa - Pama Dabi - Jhumming -Kumari

(3) Jhumming - Kuruwa - Pama Dabi -Kumari

(4) Pama Dabi - Kumari - Jhumming -Kuruwa

25. River Indus flows through Leh and Kargildistricts in the state of Jammu andKashmir. It has four major tributaries inIndia. Which one of the following is thecorrect sequence of the tributariesarranged from East to West in terms oftheir confluence with river Indus?

(1) Zaskar - Dras - Hunza - Shyok

(2) Zaskar - Hunza - Dras - Shyok

(3) Hunza - Dras - Zaskar - Shyok

(4) Zaskar - Dras - Shyok - Hunza

26. A tourist was travelling Indian States andcame across a famous BuddhistMonastery, farming of three rice cropswithin the same agricultural year, acement factory and floating gardens on alake.

Identify the proper sequence of the Statesthe tourist travelled.

(1) Sikkim - West Bengal - Assam- Meghalaya

(2) Sikkim - Arunachal Pradesh - Assam- Manipur

(3) Arunachal Pradesh - Assam- Meghalaya - Manipur

(4) Arunachal Pradesh - West Bengal -Manipur - Meghalaya


27. Observe the following diagrams carefully.

I

II

III

IVWhich one of the above populationpyramids is an ideal representation ofIndia’s population?(1) I (2) II(3) III (4) IV

28. Which of the following statementsregarding printing in Medieval Europeare correct?I. Wood block printing reached Europe

in the 13th Century.II. The aristocrats and monks criticized

printed books as cheap vulgarities inthe beginning.

III. Printing did not entirely displace theart of producing books by hand.

IV. Martin Luther had reservationsagainst printing of books.

(1) I, II and III (2) I, II and IV(3) I, II and IV (4) I, III and IV

29. Which of the following statements relatedto Mahatma Gandhi’s view on Satyagrahaare correct?I. The movement in South Africa was

not passive resistance.II. It is the weapon of the people, who

are not weak.

III. India could not militarily face Britain.IV. Truth is the supreme dharma.(1) I, II and III (2) I, II and IV(3) I, III and IV (4) I, III and IV

30. Which of the following statementsrelating to the ‘Scorched Earth Policy’ inJava are correct?I. The Dutch destroyed the saw mills.II. Teak logs were bumt by the Dutch.III. Trees were cut freely to meet war

needs.IV. The villagers were encouraged to

expand cultivation in the forest areas.(1) I and II (2) I, II and III(3) I and IV (4) II, III and IV

31. Which of the following statements aboutopium cultivation in India during theBritish period are correct?I. The peasants could sell off the produce

freely.II. Local traders offered higher prices for

opium.III. Opium production was increasing in

territories that were not under theBritish.

IV. Peasants were getting moneyadvances from the village headman toproduce opium.

(1) I, II and III (2) I, II and IV(3) I, III and IV (4) II, III and IV

32. Observe the given picture taken fromNew Orleans, Illustrated London News,1851.

What does the picture represent?


(1) Mourning(2) Slave auction(3) Market place(4) Roadside gathering

33. Why were Nghe An and Ha Tinh provincescalled ‘electrical fuses’ of Vietnam?(1) They were near to the capital city and

were centres of power.(2) They were among the poorest

provinces and had an old radicaltradition.

(3) They were very rich and had strongtrade links with the outer world.

(4) They were at the borders and were inconflicts with the neighbouringcountries.

34. Which of the following would be the partof the surroundings in a chawl in Bombayduring the colonial period?I. Large number of people living in

shared rooms.II. A large population of people belonging

to depressed and lower classes.III. Streets and neighbourhood being used

for a variety of activities such ascooking, washing and sleeping.

IV. Liquor shops and Akharas in any openspot.(1) I, II and III (2) I, III and IV(3) II and III (4) II, III and IV

35. Which of the following statements aretrue in the context of Cricket in VictorianEngland?I. The rules of Cricket were made to

favour those who were described as“Players”.

II. The wages of professionals were paidby patronage or subscription or gatemoney.

III. Cricket was viewed as a way ofteaching English boys discipline,importance of hierarchy andleadership qualities.

IV. The rich who played were calledamateurs.

(1) I, II and III (2) I, II and IV(3) I, III and IV (4) II, III and IV

36. Which of the following statements aretrue for eighteenth century France?I. There was much criticism of slavery.II. The National Assembly feared

opposition from businessmen who weredependant on slave trade.

III. Plantation owners understood theirfreedom as including the right toenslave Africans.

IV. The Convention of 1791 legislated tofree all slaves in the French overseaspossessions.

(1) I and II (2) I, II and IV(3) II and III (4) II, III and IV

37. Which of the following statements aretrue in the context of Liberals in ModernEurope?I. They opposed the uncontrolled power

of dynastic rulers.II. They wanted to safeguard the rights

of individuals against governments.III. They argued for independent

judiciary.IV. They believed in universal adult

franchise for all men and women withproperty.

(1) I, II and III(2) I, II and IV(3) I, III and IV(4) II, III and IV

Direction (Q. 38 - 40) : Read the statementsand select the correct answer from the optionsgiven below.1. Statement I is true, Statement II is false.2. Statement I is false, Statement II is true.3. Both statements are true, and Statement

II provides explanation to Statement I.4. Both Statements are true but Statement

II does not provides explanation toStatement I.


38. Statement I : The Bretton Woods Systemcame up during the post - World WarPeriod.Statement II : The industrial nationshad massive growth of trade and incomes.

39. Statement I : Potatoes had beendiscovered by the Europeans in theAmericas.Statement II : Poor people in Irelandwere dependent on potatoes to escapestarvation in the 19th century

40. Statement I : The President of Indiacannot claim the kind of direct mandatethat the Prime Minister of India can.Statement II : A candidate contestingfor the post of president has to gain amajority of votes to be elected as thePresident of India.

41. If m = n2 – n, where n is an integer, thenm2 – 2m is divisible by :(1) 20 (2) 24(3) 30 (4) 16

42. The value of 97 98 99 100 1 isequal to :(1) 9901 (2) 9891(3) 9801 (4) 9701

43. Let P(x) be a polynomial of degree

3 and 1P nn

for n = 1, 2, 3, 4. Then

the value of P(5) is:

(1) 0 (2)15

(3)25

(4)35

44. If and are the roots of the equation3x2 – 5x + 3 = 0, then the quadraticequation whose roots are 2 and 2 is?(1) 3x2 – 5x + 3 = 0 (2) 3x2 – 8x + 5 = 0(3) 3x2 – 8x + 3 = 0 (4) 3x2 – 5x – 3 = 0

45. In village Madhubani 8 women and 12girls can paint a large mural in 10 hours.6 women and 8 girls can paint it in 14hours. The number of hours taken by 7women and 14 girls to paint the mural is:

(1) 10 (2) 15(3) 20 (4) 35

46. If3 5

x2

and y = x3, then y satisfies

the quadratic equation :(1) y2 – 18y + 1 = 0(2) y2 + 18y + 1 = 0(3) y2 – 18y – 1 = 0(4) y2 + 18y – 1 = 0

47. If tan2 = 1 – e2, then the value of sec +tan3 cosec is equal to :

(1) 1

2 21 e (2) 1

2 22 e

(3) 3

2 22 e (4) 3

2 21 e

48. Let the volume of a solid sphere be 288cm3. A horizontal plane cuts the sphereat a distance of 3 cm from the centre sothat the ratio of the curved surface areasof the two parts of the sphere is 3 : 1. Thetotal surface area of the bigger part ofthe sphere (in cm2) is:(1) 36 (2) 108 (3) 135 (4) 144

49. A solid metallic cylinder of height 10 cmand diameter 14 cm is melted to maketwo cones in the proportion of theirvolumes as 3 : 4, keeping the height 10cm, what would be the percentageincrease in the flat surface area?(1) 9 (2) 16(3) 50 (4) 200

50. Each vertical face of square based verticalpillar of height 3 m has 7 equal, semi-cylindrical surfaces in such a way that itshorizontal cross-section is as shown in thefigure.


If the radius of each semi circle is 10 cm,the volume (in m3) of the pillar so designed

22taking

7 is :

(1) 5.88 (2) 6.14(3) 6.42 (4) 7.2

51. Let ABCD be square of side 20 cm. Thearea of the square PQRS (in cm2) interiorto ABCD, shown in the figure is:

A B

CD

10L

O

N

M

S

P

10Q

R 10

1010

10

1010

(1) 60 (2) 80(3) 100 (4) 400

52. A circle is inscribed in a right angledtriangle of perimeter 7 . Then the ratioof numerical values of circumference ofthe circle to the area of the right angledtriangle is:(1) 4 : 7(2) 3 : 7(3) 2 : 7(4) 1 : 7

53. It is known that area of a cyclic quadrilateralis s a s b s c s d where a, b, c,

d are the sides and a b c d

s2

. If a

circle can alsobe inscribed in the cyclic quadrilateralthen the area of this quadrilateral is :

(1) 2 2ab cd(2) abcd

(3) 2 2ac ac

(4) 2 2ad bc

54. Two circles, both of radii a touch eachother and each of them, touchesinternally a circle of radius 2a. Then theradius of the circle which touches all thethree circles is:

(1)1

a2

(2)2

a3

(3)3

a4

(4) a

55. Let D be a point on the side BC of a triangleABC such that ADC = BAC. If AC = 21cm, then the side of an equilateral trianglewhose area is equal to the area of therectangle with sides BC and DC is:

(1)1214 3 (2)

1242 3

(3)3414 3 (4)

1242 3

56. Let ABC be triangle with sides a, b, c.Then lengths of medians of the triangleformed by the medians of the triangleABC are :

(1)1 1 1

a, b, c2 2 2

(2)2 2 2

a, , b c3 3 3

(3) 3 3 3a, b, c4 4 4

(4)5 5

a, b, c6 6 6

57. (x + 1)4 is divided by (x – 1)3. Then thevalue of the reminder at x = 1 is:(1) –16 (2) 0(3) 16 (4) 32

58. A circle passes through the vertices of atriangle ABC. If the vertices are A(–2, 5),B(–2, –3), C(2, –3), then the centre of thecircle is:(1) (0, 0) (2) (0, 1)(3) (–2, 1) (4) (0, –3)

59. If two dice are thrown together, theprobability that the difference of thenumbers appearing on them is a primenumber.

(1)29

(2)49

(3)5

12(4)

1736


60. Observe the following data:Class 0-20 20-40 40-60 60-80 80-100 Total

Frequency 17 f1 32 f2 19 120

If the above data has mean 50, thenmissing frequencies f1 and f2 arerespectively :(1) 28 and 24 (2) 24 and 28(3) 28 and 30 (4) 30 and 28

Directions (Q. 61 – 62) : Suppose that theacceleration versus time graph of a particlethat starts rest at t = 0 is as shown in thefigure.

5

–10

t in s10 20 30

61. At what instant does the particle come torest for the first time ?(1) 5 s(2) 10 s(3) 15 s(4) The particle never comes to rest

62. What is the total distance travelled by theparticle in 30 s?(1) 0 m (2) 500 m(3) 750 m (4) 1000 m

63. An object of mass 2 kg is moving underthe action of a force which varies withtime as shown in the figure:

F(N)10

0

–10

5 10 15 20 t(s)

Which one of the following statements iscorrect for the interval from 0 to 20 s?(1) The momentum of the object

decreases by 75 kg m/s

(2) The momentum of the objectincreases by 75 kg m/s

(3) The momentum of the objectincreases by 125 kg m/s

(4) The change in momentum cannot befound as initial speed is unknown.

64. Two cars ‘A’ and ‘B’ of same mass startfrom the same location at the same timebut on different straight roads. Car ‘A’travels on a road that has greater angleof inclination with horizontal comparedto the rod on which ‘B’ travels.At any instant both cars ‘A’ and ‘B’ havethe same height above the starting point.If EA and EB are total energies of cars ‘A’and ‘B’ respectively, then –(1) EA < EB(2) EA = EB(3) EA > EB(4) Relation between EA and EB cannot

be decided based on given information65. The gravitational potential energy

difference per unit mass between thesurface of a planet and a point 100 m aboveit is 1000 J/kg. How much work is requiredto be done in moving a 5 kg object 100 m ona slope at 30° to the horizontal on thisplanet?(1) 1250 J(2) 2500 J(3) 4350 J(4) 5000 J

Direction : (Q. 66 to 67) : Two identicalobjects A and B each of mass m start movingalong the same vertical line in oppositedirections at the same instant. Object A isdropped from rest from a height H above theground and object B is projected verticallyupwardfrom the ground with speed u 2gH

66. At what height above the ground do theycollide?

(1)1

H4

(2)

1H

2

(3)2

H3

(4)

3H

4


67. After they collide, they stick to each other.What is the loss in their total energy?

(1) 0 (2)1

mgH2

(3)3

mgH2

(2) 2 mgH

68. Given below are two different graphs ofvariation of density (or pressure) of themedium with position (Fig. 1) and withtime (Fig. 2) as a wave passes throughthe medium.

Densityor

pressure

0 50 100 150 200x(cm)

Fig. 1Density

orpressure

0 1.0 2.0 3.0 4.0 t(milliseconds)

Fig. 2What will be the speed of the wave in thegiven medium?(1) 25 m/s (2) 50 m/s(3) 250 m/s (4) 500 m/s

69. A convex lens and a concave lens, each offocal length 10 cm, are kept separated bya distance of 2 cm as shown in the figure.If the light is incident from left, thecombinations of lenses will be

(1) converging(2) diverging(3) behaving like a glass slab(4) converging or diverging depending on

whether the lenses are arranged asshown in the figure or in the reverseorder.

70. In the circuit given, the ratio of work doneby the battery to maintain the currentbetween point A and B to the work donefor the whole circuit is

2

1

A B

1.3 V

2 1

1

(1)1

117

(2)1

13

(3)1

12(4) 1

71. Magnetic field at the centre of a circular

coil of radius R carrying current i is iBR

and its direction is given by right-handthumb rule. Magnetic field at the centreof a circular arc subtending an angle (in

degree) isi

BR 360

and its direction

can be found using right hand rule.i

R iB R

i

R

iBR 360


Consider two circular coils made ofuniform conductors as shown in figure 3and 4. In figure 3 points C and D arediametrically opposite to each other, andin figure 4 PO2Q = 120°. Then magneticfields _______

i1

O1

iC Di2

Ri 90°

i3

O2

iP Qi4

Ri 120°

(1) at both O1 and O2 are zero(2) at both O1 and O2 are non-zero(3) is zero at O1 but non-zero at O2(4) is non-zero at O1 but zero at O2

72. A pin AB of length 2 cm is kept on theaxis of a convex lens between 18 cm and20 cm as shown in figure. Focal length ofconvex lens is 10 cm. Find magnificationproduced for the image of the pin.

A B

20 cm

(1) 0.83(2) 1.00(3) 1.25(4) 6.78

73. What is the current supplied by thebattery in the circuit shown below? Eachresistance used in circuit is of 1 k andpotential difference VAB = 8V

A

B

(1) 64 mA (2) 15 mA(3) 9.87 mA (4) 1 mA

74. Read the following statements.Statement I: Sodium metal reactsviolently with water to produce heat andfire.Statement II: Potassium metal reactsviolently with water to form potassiumhydroxide and hydrogen gas.Select the correct answer from the optionsgiven below.(1) Statement I is true, Statement II is

false(2) Statement I is false, Statement II is

true.(3) Both Statements are true, and

Statement II provides explanation toStatement I

(4) Both Statements are true, butStatement II does not providesexplanation so Statement I.

75. You are provided with 18 g each of O2,N2, CH4 and H2O. Which of the followingis the correct decreasing order of numberof atoms present in these samples?(1) CH4 > H2O > N2 > O2(2) O2 > N2 > H2O > CH4(3) CH4 > N2 > O2 > H2O(4) N2 > H2O > O2 > CH4

76. Manya, Kartik, Gurnoor and Sheena hadarranged the ions F–, Na+, O2–, and Mg2+

in decreasing orders of their ionic radii.Manya – O2– > Mg2+ > F– > Na+

Kartik – Mg2+ > Na+ > O2– > F–

Gurnoor – O2– > F– > Na+ > Mg2+

Sheena – F– > Na+ > O2– > Mg2+


Who had provided the correct order oftheir decreasing ionic radii ?(1) Manya (2) Kartik(3) Gurnoor (4) Sheena

77. An organic compound A on heating withconcentrated H2SO4 gave product B and onwarming with alkaline KMnO4 gavecompound C. Compound A on heatingwith compound C in presence ofconcentrated H2SO4 formed compound D,which has fruity smell. Identify thecompounds A, B, C and D.(1) A = Alcohol, B = Carboxylic acid,

C = Alkene, D = Ester(2) A = Carboxylic acid, B = Ester,

C = Alkene, D = Alcohol(3) A = Alcohol, B = Alkene,

C = Carboxylic acid, D = Ester(4) A = Alkene, B = Alcohol, C = Ester,

D = Carboxylic acid78. Match List I (Mixture) and List II (Type)

with the list III (Example) and select thecorrect answer from the combinationgiven below :

List I (Mixture) List II (Type) List III (Example)A. Liquid in gas 1. Emulsion I. MistB. Liquid in liquid 2. Aerosol II. SpongeC. Gas in solid 3. Foam III. Face cream

4. Gel IV. Butter

(1) A - 3 - II, B - 2 - III, C - 4 - IV(2) A - 2 - I, B - 1 - III, C - 3 - II(2) A - 1 - III, B - 2 - II, C - 3 - I(3) A - 1 - II, B - 4 - I, C - 2 - III

79. Which of the following set of reactionswill NOT occur?(I) MgSO4(aq) + Fe(s) FeSO4(aq)

+ Mg(s)(II) CuSO4(aq) + Fe(s) FeSO4(aq)

+ Cu(s)(III) MgSO4 (aq) + Cu(s) CuSO4(aq)

+ Mg(s)(IV) CuSO4(aq) + Zn(s) ZnSO4 (aq)

+ Cu(s)

(1) I and III (2) II and IV(3) I, II and IIII (4) II, III and IV

80. Two organic compounds ‘A’ and ‘B’ reactwith sodium metal and both produce thesame gas ‘X’, but with sodium hydrogencarbonate only compound B reacts to givea gas ‘Y’. Identify ‘A’, ‘B’, ‘X’ and ‘Y’ :(1) A = Ethylene, B = Ethyl Alcohol,

X = Carbon dioxide, Y = Hydrogen(2) A = Ethyl Alcohol, B = Acetic acid,

X = Hydrogen, Y = Carbon dioxide(3) A = Methyl alcohol, B = Ethyl alcohol,

X = Hydrogen, Y = Carbon dioxide(4) A = Acetic acid, B = Formic acid,

X = Carbon dioxide, Y = Hydrogen81. Consider the elements A, B, C and D with

atomic numbers 11, 12, 16 and 17,respectively. Which among the followingstatements regarding these elements arecorrect?(I) The element C will gain electron more

easily than element D.(II) The element B tends to lose electron

more readily than C.(III) The oxide of A will be least basic while

that of D will be most basic.(IV) The energy required to remove an

electron from outermost shell from Awill be minimum while that from Dwill be maximum.

(1) I and III only(2) I and IV only(3) II and III only(4) II and IV only

82. The following observations are given forfour metals :(I) Metal H does not react with dilute

HCl.(II) Metal K reacts with warm water.(III) Metal L does not react with water

but displaces metal H from its aqueoussalt solution.

(IV) Metal M reacts with cold water.


Choose the correct decreasing order ofreactivity of these metals amongst thefollowing :(1) M < L > H > K (2) K > M > H > L(3) M > K > L > H (4) L > H > K > M

83. Match chemical reactions given in theList I with the type of chemical reactionsgiven in List II and select the correctanswer using the options given below :

A. Formation of NH3 from N2 and H2

I. Decomposition

B. Calcination of zinc carbonate

II. Double displacement

C. Reaction of aqueous BaCl2 solution with dilute H2SO4

III. Combination

D. Rancidity of oils IV. RedoxV. Displacement

List I (Chemical Reactions)

List II (Type of Chemical Reaction)

(1) A - I, B - V, C - III, D - IV(2) A - III, B - IV, C - V, D - I(3) A - IV, B - III, C - V, D - I(4) A - III, B - I, C - II, D - IV

84. You are provided with aqueous solutionsof three salts – A, B and C, 2 – 3, drops ofblue litmus solution, red litmus solution,and phenolphthalein were added to eachof these solution in separate experiments.The change in colours of differentindicators were recorded in the followingtable :Sample With Blue

Litmus Solution

With Red Litmus

Solution

With Phenolphthalein

solutionA No change No change No change

B Turns Red No change No changeC No change Turns blue Turns pink

On the basis of above observations,identify A, B and C from the followingoptions :(1) A = NH4Cl, B = NaCl, C = CH3 COONa(2) A = NH4Cl, B = CH3 COONa, C = NaCl(3) A = NaCl, B = NH4Cl, C = CH3COONa(4) A = CH3 COONa, B = NH4Cl, C = NaCl

85. Match List I (Mixture to be Separated)with the List II (Method Used) and selectthe correct answer using the options givenbelow.List I(Mixture to beSeparated)A. Liquid N2 and liquid O2B. Red and Blue inksC. Solution of NaCl in waterD. Naphthalene and NaClList II(Method Used)I. ChromatographyII. SublimationIII. Fractional DistillationIV. EvaporationV. Crystallisation(1) A-I, B-II, C-IV, D-V(2) A-III, B-V, C-II, D-IV(3) A-III, B-I, C-IV, D-II(4) A-III, B-IV, C-I, D-II

86. Select the correct set of statementsregarding change in properties, as wemove down the second group in periodictable.I. Atomic size increasesII. Electro negativity increasesIII. Tendency to loose electrons increasesIV. Valency remains same(1) I, II and III (2) II, III and IV(3) I, II and IV (4) I, III and IV

87. Which of the following options containingformula, bonding and nature of aqueoussolution respectively is correct for thecompound formed by two elements A andB having atomic numbers 1 and 17,respectively?(1) AB, Ionic, Acidic(2) AB2, Ionic, Basic(3) AB, Covalent, Acidic(4) AB2, Covalent, Neutral


88. Choose one of the following alternativestatements given below which correctlyexplains the process of osmosis.(1) Movement of water from regions of

concentrated to dilute solutions.(2) The passage of solute from weak

solution to strong solution through aselectively-permeable membrane

(3) A passive transport of a solventthrough a selectively-permeablemembrane from a region of low soluteconcentration to a region of high soluteconcentration

(4) An energy-dependent transport of asolvent through a selectively-permeable membrane from a regionof low solute concentration to a regionof high solute concentration.

89. In meiosis, each of the four daughter cellshas one set of chromosomes. Due torandomness of process of chromosomeseparation in meiosis, large number ofchromosome combinations can formgametes. How many such chromosomecombinations in the gametes are possiblein case of humans, assuming there is nocrossing-over taking place?(1) 222

(2) 223

(3) 246

(4) 234

90. Sclerenchyma in plants is an example ofsimple permanent tissue comprising of twotypes of cells, sclereids and fibres. Whythese cells are functionally important to theplants even after they die?Choose the correct alternative from theoptions given below.(1) Both are thin walled cells lacking

intercellular spaces.(2) Walls in both the types of cells are

thick and cutinized.(3) Walls in both the cell types are thick

and usually lignified.(4) Both the cells are used for conducting

solutes and providing strength to theplant.

91. Which one of the following organisms hasa cellular respiratory pigment dissolvedin plasma and is also a predaceouscarnivore and shows matriphagy?(1) Scorpion (2) Cockroach(3) Earthworm (4) Sea cucumber

92. Lichens are sensitive to certain airpollutants and are often replaced by otherplants. From the given options choosethe best combination of sensitivity andreplacement of lichens.(1) Sulphur dioxide and moss(2) Sulphur dioxide and algae(3) Carbon dioxide and ferns(4) Sulphur dioxide and grass

93. A student was performing an experimentto understand the enzyme-substratereaction. The student measured theformation of coloured product using acolorimeter. The student plotted thegraph below which shows the reactionrate versus the substrate concentration.

Reac

tion

rate

Substrate concentrationFollowing interpretations were drawn bythe student.A. The higher concentration of substrate

acts as an enzyme inhibitor.B. It is a sigmoidal curve with sharp

transition from low to high reactionrates over the increasing substrateconcentration.

C. The curve reaches a plateau and doesnot further increase with increasingsubstrate concentrations due tosaturation of enzyme with thesubstrate.

Choose which of the interpretations of thegraph are correct.(1) A and B (2) A and C(3) B only (4) B and C


94. Glucose is the prime source of energy inour body. However, it is stored in the formof glycogen in the muscle and liver ofanimals and in the form of starch in plants.As a result, every time a cell requiresglucose, it must hydrolyze glycogen whichis an energy consuming process. Why doesthe cell store glycogen instead of glucosein free from?(1) Glycogen is more compact and more

hydrophilic.(2) Storage of glucose in free form will

consume more ATP.(3) Glucose in the free form creates more

osmotic pressure.(4) Glucose is highly reactive molecule

hence storing in the free form canresult in unwanted reactions in thecells.

95. The figure given below is designed toshow yeast respiration. In one of thetubes, there is yeast suspension inglucose solution. This solution was boiledbefore yeast was added to it. Which oneof the following is the possible reason forboiling of sugar solution?

OilGlucose

+Yeast

suspension

Bicarbonateindicator

(1) To ensure aerobic fermentation.(2) To provide the initial warmth for the

yeast to become active(3) To remove the dissolved oxygen and

carbon dioxide from the solution(4) The remove dissolved carbon dioxide

and trap the oxygen from theatmosphere.

96. A squirrel was eating a fruit on theground. Suddenly it was attacked by adog. The squirrel rushed to the treeimmediately and saved itself from thedangerous attack. What immediatechanges are most likely to have takenplace in the body of the squirrel?A. Blood flows to the stomach for rapid

digestion.B. Adrenalin was secreted in the blood

by the adrenal glands.C. Heart beat becomes faster and pumps

more blood so that muscles get moreoxygen.

D. Adrenocorticotropic hormone issecreted in the blood and blood flowsmore towards the vital organs.

Select the correct combination of optionsgiven below:(1) A and B (2) A and C(3) B and C (4) C and D

97. Stimulus from the environment isdetected by the nerve cells. The stimulusacquired is transmitted in the form ofelectrical impulse. From the options givenbelow choose the correct scheme showingthe direction in which the nerve impulsetravels. (Arrows shows the direction ofimpulse flow).

(1)

(2)

(3)

(4)

98. “Double fertilization” is a complexmechanism of flowering plants that isalso unique to angiosperms. Choose themost appropriate statement from theoptions listed below that explains thisphenomenon.


(1) Fertilization in two flowers of the sameplant forming endosperms.

(2) Two male gametes fertilize two eggsinside the ovule as a result the ovarygives rise to bigger fruits.

(3) Two fertilizations occur in a flower-one fertilization results in theformation of a diploid zygote and thesecond fertilization results in theformation of a triploid endosperm.

(4) Two pollen grains sending two pollentubes inside the ovary, resulting in theformation of two seeds inside the fruit.

99. It is generally observed that malaria isrampant in areas where constructionwork and/or stagnant water are usuallyseen. Plasmodium species are known tocause malaria. The parasite wheninjected by the mosquito into the humanblood stream goes through specific lifecycle stages. Select from below the correctsequence of stages.(1) Mosquito (sporozoites) human

liver (merozoites) human RBC(gametes) mosquito (zygote-oocyst-sporozoites)

(2) Mosquito (merozoites) humanRBC (gametes) human liver(sporozoites) mosquito (oocyst-zygote-sporozoites)

(3) Mosquito (merozoites) humanliver (sporozoites) human RBC(gametes) mosquito (oocyst-zygote-sporozoites)

(4) Mosquito (sporozoites) humanliver (sporozoites) human RBC(merozoites) mosquito (oocyst-zygote-sporozoites)

100. A plant with red coloured flowers iscrossed with a plant having white flowers.The red and white colour of the flower iscontrolled by a single gene. Red isdominant over white. The F1 progeny isself-pollinated and the flower colour in F2is observed.Given the above information, what is theexpected phenotypic ratio of plants withdifferent flower colour?(1) All plants with red flowers(2) Red : white in the ratio of 3 : 1(3) Pink : white in the ratio of 3 : 1(4) Red : pink : white in a ratio of 1 : 2 : 1


EXPLANATI ONS

ANSWERSMental Ability Test

1. (1) 2. (1) 3. (2) 4. (1) 5. (2) 6. (2) 7. (3) 8. (3) 9. (2) 10. (2)11. (3) 12. (4) 13. (2) 14. (1) 15. (4) 16. (3) 17. (3) 18. (3) 19. (4) 20. (1)21. (2) 22. (4) 23. (1) 24. (2) 25. (2) 26. (1) 27. (1) 28. (2) 29. (4) 30. (2)31. (4) 32. (1) 33. (3) 34. (4) 35. (3) 36. (3) 37. (2) 38. (3) 39. (3) 40. (2)41. (2) 42. (4) 43. (2) 44. (2) 45. (3) 46. (1) 47. (4) 48. (1) 49. (3) 50. (2)51. (3) 52. (4) 53. (3) 54. (2) 55. (4) 56. (1) 57. (2) 58. (3) 59. (1) 60. (3)61. (3) 62. (3) 63. (3) 64. (2) 65. (3) 66. (2) 67. (2) 68. (3) 69. (3) 70. (1)71. (3) 72. (1) 73. (1) 74. (2) 75. (4) 76. (2) 77. (3) 78. (3) 79. (2) 80. (3)81. (4) 82. (3) 83. (2) 84. (4) 85. (3) 86. (2) 87. (3) 88. (4) 89. (3) 90. (3)91. (3) 92. (3) 93. (3) 94. (4) 95. (3) 96. (4) 97. (4) 98. (4) 99. (1) 100. (1)

Scholastic Aptitude Test

1. (3) 2. (3) 3. (4) 4. (3) 5. (4) 6. (2) 7. (2) 8. (1) 9. (3) 10. (1)11. (2) 12. (3) 13. (b, d) 14. (3) 15. (2) 16. (1) 17. (3) 18. (3) 19. (2) 20. (1)21. (2) 22. (4) 23. (2) 24. (3) 25. (4) 26. (3) 27. (3) 28. (1) 29. (4) 30. (2)31. (4) 32. (2) 33. (2) 34. (2) 35. (4) 36. (4) 37. (1) 38. (4) 39. (4) 40. (4)41. (2) 42. (4) 43. (1) 44. (1) 45. (1) 46. (1) 47. (3) 48. (3) 49. (3) 50. (4)51. (2) 52. (1) 53. (2) 54. (1) 55. (3) 56. (3) 57. (3) 58. (2) 59. (2) 60. (1)61. (3) 62. (3) 63. (2) 64. (1) 65. (2) 66. (4) 67. (2) 68. (4) 69. (1) 70. (2)71. (1) 72. (3) 73. (2) 74. (4) 75. (1) 76. (3) 77. (3) 78. (2) 79. (1) 80. (2)81. (4) 82. (3) 83. (4) 84. (3) 85. (3) 86. (4) 87. (3) 88. (3) 89. (2) 90. (3)91. (1) 92. (1) 93. (2) 94. (3) 95. (3) 96. (3) 97. (3) 98. (3) 99. (1) 100. (2)

M ENTAL ABI LI TY TEST

1. As per question,

5

2.5

1.5

5 + 5 = 10

5 + 2.5 + 2.5 = 10

5 × 2.5 – (1.5 × 5) = 5

Hence value of = 1.52. By analysis of given figure with respect

to number of parallelograms.3. Group of papers are

(1, 2, 23, 24)

(3, 4, 21, 22)(5, 6, 19, 20)(7, 8, 17, 18)(9, 10, 15, 16)(11, 12, 13, 14)

So (7, 8, 17, 18) are missing.4. Based on observation.5. Given series is : 6, 24, 60, ? 210

Now 23 – 2, 33 – 3, 43 – 4, 35 5 , 63 – 6

So, 53 – 5 = 125 – 5 = 120.

6. (41 19) (9 7) 7

(33 15) (8 4) 6


12. By all three statements :Aban – Gauri = 15, Gauri – Seerat = 20,Seerat – Alvina = 10 Aaban > Gauri > Seerat > Alvina

13. (7 × 5) + (6 × 3) – (4 ×10) = 13(9 × 4) + (8 × 4) – (7 × 5) = 33(8 × 4) + (5 × 3) – (6 × 2) = 35Similarly, (6 × 5) + (10 × 3) – (7 × 4) = 32

14. By analysis of given figure.15. (10 × 6) – (5 × 7)

60 – 35 25 + 10 (from left) = 35 and So on

16

1 3 1 513 15 2 9 12 5 4 6 2 9 3 5M O B I L E D F B I C E

Similarly,

8 1 5 8 1 9 53 18 7 3 7

1 8

C H A R G E C H A I G E

Hence, CHARGE is coded as CHAIGE.17. H @ J $ L # K £ P

H J L P

K

=Hence, K is father-in-law of H.

18. Only F and C is the part which representsstudents who can ‘sing’ and dance.

19. (B + D + C + G) – (A + B + C + F) = a D + G – (A + F) = a ...(i)

(C + G) – (C + F) = b G – F = b ...(ii)By equation (i) and (ii), D + b – A = a D + b = a – bor A – D = b – a

20. a + b + c + f = b + d + c + g = c + f + g + eBy 1 & 2 = a + f = g + d ...(1)2 & 3 = b + d = f + e ...(2)1 & 3 = a + b = g + e ...(3)From the statement;a + 2(c + f) = (c + g) + (b + c)

7. Based on observation.8. As per question, R = 3

S + R + R = 8 S + 2R = 8 S + (2 × 3) = 8S = 2T + S + T = 4 2T + 2 = 4 T = 1U + T + S = 9 U + 1 + 2 = 9 U = 9 – 3U = 6Now, S + N = 7 2 + N = 7 N = 5Hence, Code for TURNS is 16352.

9. B2

...(1)

B = C × 1.5 ...(2)D = (C – 12) ...(3)D = E × 1.5 ...(4)E = 12 ...(5)By putting value of E, in (4), D = 12 × 1.5= 18 yearsBy putting value of D in (3), C = 30 yearsthen, = B = 30 × 1.5 = 45 yearA age = 45 × 2 = 90 years. (A – C) = (90 – 30) = 60 year.

10. Sum of place value of CLOUD= 3 + 12 + 15 + 21 + 4 = 55

Is divided by number of letters 555

= 11

Similarly from BURST

= 2 21 18 19 20

5

= 16

For ACE = 1 3 53

= 3

and for MONSOON

= 13 15 14 19 15 15 147

= 15

11. Dice 1 Dice 2 Dice 3 Possibility5 1 1 34 2 1 63 3 1 32 2 3 3

15


a + 2c + 2f = 2c + g + b a + 2f = g + b a = g + b – 2f ...(4)From (1), a = g + d – f ...(5)By comparing (4) and (5),g + d – f = g + b – 2f

d b f

or b d f

By (3) = a + b = g + ePutting value b we get a + d + f = g + ea + f = g + d,g + d + d = g + e

2d e

21. 1, – 8, 81, ?, 1562511, – (2)3, (3)4, – (4)5, (5)6

– 1024

22. Rajib 4 m Yaibiren

Achira3 m

Sahiban

1 m

23. Men

Father

Teacher

24. (360° – 145°) = 215°

1130H M

2

11215 270 M

2

1155 M

2

M = 10 min 9 : 10

25. By question, we get+ –× ++ ×– Hence, 27 – 81 9 + 6 27 – 9 + 6 33 – 9 = 24

26. 5, 7, 14, 24, 42, ?, 1195 + 7 = 12 + (2) = 147 + 14 = 21 + (3) = 2414 + 24 = 38 + (4) = 4224 + 42= 66 + (5) = 71

27. +5AK, F P, ?, PZ U E, Z J

+5 +5

+5+5+5+5+5

KUBoth 1st and 2nd alphabet follows + 5pattern.

28. Father (F), Mother (m), Daughter (D),Son (s)Given F > M > S > DF – M = 5 ...(1)(F + S) – (M + D) = 15 ...(2)S + D = 20 ...(3)On solving (1) and (2)

F – M+ S – D = 155 + S – D = 15S – D = 10 ...(4)On adding (3) and (4)

S D 20S D 102S 30S 15

Hence, Age of son is 15 years.29. 9th of month falls on Sunday

so, 23rd of same month falls on Sunday.


30. For given figure, we can see thatQuadrant I = 14 + 8 = 22Quadrant II = 20 + 2 = 22Quadrant III = 12 + 10 = 22Quadrant IV = 6 + (?) = 22

31. 13, 34, 74, ?, 290Using Prime number22 + 32 = 1332 + 52 = 3452 + 72 = 7472 + 112 = 170112 + 132 = 290

32. Middle term

= Left term Right term2 [By figure]

i.e. 5 3

42

6 4 2 27

2

7 2 1 3 4 19

2

6 3 5 49

2

9 36

2

Hence, correct answer is 9.33. By observation, Option (3) is correct34. 1

2345

QRTP(S)

So, S reads the paper last

35. Mirror image of 5 : 4511 : 60

5 : 456 : 15

Hence, option (c) is correct.

36. In both statement words is hub of India,are common, So common coding is ,2, 4, 3 and 7 for mumbai of financial.According to options, option (c) is correct.Because 9 stands for democracy.

37. USBEYFHKORAWCGJMQDIVLNTXZ13th letter from left is W4th letter from right is N.middle term between W and N is Q

38. Only option (3) can not be drawn.

39.

1 X 5 ? 34

1 3 8 21

Y 2 U ? H

(Plus)

(Minus)

(Plus)(Plus)

(Plu

s)

(Minus)

(Min

us)

(Min

us)

24

25

M

21 13 8

From above observation, missing valuesare ‘M’ and ‘13’.

40. 1332 113 + 1732 93 + 3348 73 + 5? 53 + 7 13236 33 + 912 13 + 11

41. 2 6 12 30A D I ? Y

(1)22+4 +6 +8 +10

P20

(2)26 (3)2

12 (4)2

20 (5)2

30

42. Given a > b, a > 0, and b 0,b can be positive or negative.So, a × b2 > 0

43. By direct coding we get :-Always go to morning walk early

....... Aaaa aaaa ....... AAAA aaAANow, only option (2) matches the samesequence.


44. 2 + 12 × 4 – 6 62 × 12 4 + 6 – 62 × 3 + 6 – 66 + 6 – 6 = 6

45. 5 + 4 × 8 12 – 3 = 3By interchanging 3 & 4. we get,5 + 3 × 8 12 – 4 = 3

85 3 4 3

12

5 + 2 – 4 = 37 – 4 = 33 = 3

46. a + b = c + db + d = 2a, c + d = ad + e > a + bc + d > a + e

47. By Pythagoras theorem, we know15 m

100 m 60 m

95 m80 m

60 m

15 m

H2 = P2 + B2

H2 = (602) + (802)

H 3600 6400 H = 100mNow, total distance she travelled(60 + 15 + 100)m = 175 m

48. A B

C D

E F

G H

EFGH RedABCD BlackCDEF GreenBDFH YellowABGH BlueACEG Brown

49. Gains 10 seconds in every 3 minutes,clock is run total 9:30 hr.(From 9:00 am to 6:30 pm clock gain :1800 seconds So, the actual time is 30minutes behind from 6:30 pm Hence,actual time is 6:00 or 5:58 pmapproximate)

50. Given (x is real can be positive or negative)x2 = 49Similarly x3 = 343Therefore statement (2) is sufficient toanswer the question.

51. For y13 × (13 – 1) = 156

For x8 × (8 – 1) = 56

Hence x = 56 and y = 156.

52. C O U N T R Y

Z S U O V P D+1+1 +1+1 +1+1 +1

Similarly, T E A C H E R

S F I D B F U+1+1 +1+1 +1+1+1

53. 13 – 2 + 1 = 1213 – 3 + 1 = 1117 – 6 + 1 = 1216 – 4 + 1 = 13

Direction for solution (54-58):A Kannada TuesdayB Konkanis SundayC Malyalams Friday


D Tamil WednesdayE Hindi MondayF Manipuris ThursdayG English Saturday54. Hindi55. Sunday56. Manipuri57. English58. Wednesday59. Sun East

100 m

NavneetShadow

RanveetNavneetRavneet after 15 minutes

135°

North-East

Hence, Ravneet is facing North-East now.60. 22 – 1 = 3

32 – 2 = 772 – 3 = 46462 – 4 = 2112

61. B H = 162 × 8 = 16D O = 604 × 15 = 60T A = 2020 × 1Similarly, Code for BAT is :B A T2 × 1 × 20 = 40

62.

26 + 36 + 38 = 1003 stick has been removed to Satisfycondition.

63. 63578 is to 14156 + 3 + 5 = 147 + 8 = 15 56732 is to 18 55 + 6 + 7 = 183 + 2 = 5

34124 is to 8 63 + 4 + 1 = 82 + 4 = 6

So

72648 is to 15 127 + 2 + 6 = 154 + 8 = 12

64. Assuming length of wall is z.Length of B is yLength of A is xSo, z – x + y = 110 ...(1)

z – y + x = 130 ...(2)Adding (1) and (2),

2z = 240 z = 12065. F A I T H

F = 6 × 2 = 12A = 1 × 2 – 1 = 1 ( A is vowel)I = 9 × 2 – 1 = 17 ( I is vowel)T = 20 × 2 = 40H = 8 × 2 = 16So, 12 + 1 + 17 + 40 + 16 = 86

66. Let total no. of students in class = ‘x’

Age No. of Studentsbelow 14 x

20% of x5

14 15 4x 2x10% of

5 2515 16 3k 108

16&above 72 2k k 36

By question,x 2x

108 72 x5 25


x 2x108 x

5 25

25x 5x 2x108

25

18x180

25

x = 25067. By observation 1130968. Player 1 Player 2 Player 3 Player 4 Player 5

8 8 2 2 0

(2,2,2,2) (2,2,2,2)

All the option follow according to givencondition except option (3)In this Player 1 & Player 2 can play only1 time but in option (3) they play 2 times.

69. x = (11 + 5 + 3 + 10 + 8 + 9 + 6 + 2 + 7) = 61

y = (9 + 8 + 6 + 2) = 25 x – y = 61 – 25 = 36

70. By observation,

71. 1, 6, 8 are figures that have patternhaving no diagonal3, 5, 9 are figures that have patternhaving one diagonal2, 4, 7 are figures that have patternhaving four partitions.

72. NEW

S

A

B C40 m

140 m 100 m

200 m

160

In 2 2CAB AB CA OB

= 2 240 40

40 2 meters and south-east

73. APPEAL 256572PLAY 7259PEARL ?HereP 5 or 2A 2 or 5L 7E 6So, P E A R L

52

6 25

– 7

By given options, only option (1) is correct.Direction for solution (74-76)According to given Information :For Mathematics :

Amelia < Sahir < Mahi < Ujith < RizamFor English :

Sahir < Ujith < Mahi < Rizam < Amelia74. Amelia and Amelia75. Ujith scored less than Mahi in English

76. Ujith scored more than sahir both inMathematics and English.

77. 1st Jan 2019 Wednesday

Total odd days2 3 0 7

= 9 = 2 odd days

Hence, correct answer is Thursday.78. By constructing, with the help of given

points, we can get maximum number oftriangles is equal to 33.

79. By analysis of given figure :






84. Married WomenGM M D

1. Some married women are mother.4. Some mothers are grand mother.

85. By analysis

WST I

86. By analysis

2.K

HS

87. By analysis

T

DWM

88. Candidates

Citizens

StudentChild

89. Remove figure D.90. 1 2 3

4

56 7 8

9

A

B

Unshaded boxes to be covered 9.91. By observation option (2)

92.

EastWest

A

B

93. Hindi English

Punjabi

382 58 206

9040 70

54

Clearly, 642 people read only onenewspaper.

94. Hindi English

Punjabi

382 58 206

9040 70

54

Clearly, 90 people read all the threenewspaper.


95. 12 20 6 17 9 23L T F Q I W13 | 13 | 13 |Y G S I V D

25 7 19 10 22 4

4D

+13Q17

O

L

I+13

V

Y

B

V

E

K+13

X

96. 100% = 360Hence, 1% = 3.6So, 144° = 40%By the given pie chart,40% = Applied Science, Computer Science,Commerce and Management.

97. By taking option (4) :20 + 4 – 6 = 3 × 30 524 – 6 = 3 × 618 = 18

98. Mother Son17 116 215 314 413 512 611 710 89 9

then from 1st floor they meet 12th step.99. By analysis of given figures.

100.

Patients Men Doctor

SCHOLASTI C APTI TUDE TEST

41. Here, given :m = n2 – n, n INow m2 – 2m[n(n – 1)]2 – 2(n) (n – 1) (n – 2) (n – 2)n (n + 1)Hence, m2 – 2m is divisible by 24

42. 97 98 99 100 1 We can equate it with

x 1 x 2 x 3 x 4 1 [x = 96]

2 2x 5x 4 x 5x 6 1 = 2x 5x 5

= 962 + 5 × 96 + 5= 9701

43. We have,

1P n , P 1 1,n

1P 2 ,2

1P 3 ,3

1P 44

P(n).n = K(n – 1) (n – 2) (n – 3) (n – 4) + 1n = 00 = K(–1) (–2) (–3) (–4) + 1

24K + 1 = 0 K = 1

24

P(n). n = 1

24

(n – 1) (n – 2) (n – 3) (n – 4) + 1

P(5). (5) = 1

24

× 4 × 3 × 2 × 1 + 1

P(5) = 044. Here, given equation is :

3x2 – 5x + 3 = 0

53

1

Now, Required quadratic equation

2 2 2x x 0


32x x 0 2 35x 1 x 1 0

3

3x2 – 5x + 3 = 0

45. 8w + 12g = 1

10

6w + 8g = 1

1480w + 120g = 1 ...(1)84w + 112g = 1 ...(2)From equation (1) and (2),80w + 120g = 84w + 112g8g = 4ww = 2g

Now, 8(2g) + 12g = 110

28g = 110

g = 1280

w = 1140

Hence, 7w + 14g = 10

46. Here, 33 5

x and y x2

33 5

2

9 4 5

Since one root is 9 4 5

Other root is 9 4 5

Sum of roots = 9 4 5 + 9 4 5 = 18

Product = 9 4 5 9 4 5 = 1 Polynomial is y2 – 18y + 1 = 0

47. Given : tan 2 = 1 – e2

Now, value of sec + tan3 . cosec

= 2 2

33

cos sinsec

cos

3

2 21 tan 3

2 22 e

48.r

3 6

Here, Volume of sphere = 288 cm3

34 r 2883

r = 6Total Curved surface area of sphere= 4r2 = 144Curved surface area of larger sphericalpart

3144 108

4

From diagram, 62 = 32 + r2

r 27Total surface area of larger spherical part= 108 + 27 = 135.

49. Volume of the cylinder = (72) × 10 = 490Therefore volume of cones = 210 and280Let r1 and r2 be radius of two cones,

1r 3 7

2r 2 21

Percentage increase

2 2 2

2

2 21 3 7 2 7100

2 7

49100 50%

98

50. Total volume= 14 × volume of one cylinder + volumeof cubiod= 14 × r2h + l × b × h

= 14 × 22 10 10 140 140

3 37 100 100 100 100

= 1.32 + 5.88 = 7.2 m3


51. A B

CD

10L

O

N

M

S

P

10Q

R 10

1010

10

Here, ABCD is square, quadrilateralMDOB and quadrilateral ALCN areparallelogramsTherefore, quadrilateral PQRS is also asquareMB2 = 102 + 202

MB 500 10 5 Assume, MP = xDS = 2x (by M.P.T.)SN =x (DSN is congruent of APM)4x2 + x2 = 1005x2 = 100

x 20

side of PQRS = SR = DS = 2x = 2 20

area of PQRS = 2 20 2 20 = 4 × 20 = 80 sq. units

52. Given perimeter = 7

Semiperimeter = 72

Inradius = S

r =

1bh

272

r 7

bh 7

Circumference 2 r

1Area of right triangle b h2

4 r 4bh 7

53. a

b

c

d

Cyclic quadrilateral area

s a s b s c s d For cyclic quadrilaterala + c = b + d2s = a + b + c + ds = a + c = b + d

area s a s b s c s d

c.b.a.b abcd

Hence, area = abcd54.

a

a + r2a – r

aO O1

O2

Let radius of the circle be r(a + r)2 = (2a – r)2 + a2

a2 + r2 + 2ar = 4a2 + r2 – 4ar + a2

6ar = 4a2

24 ar

6 a

2r a

3

55. A

B C

21

DGiven : AC = 21ADC ~ BAC


So BC 2121 DC

BC × DC = 441Area of Equilateral = Area of rectangle =441 cm2.

23 x 4414

2441 4

x3

34x 14 3

56. A

B CD

EFc b

Using Apollonius theorem,

22 2 2 ab c 2AD

2

2

2 21 ab c AD2 2

2 2 2b c ap AD ,

2 2 4

2 2 2a c bq BE

2 2 4

2 2 2a b cr CF

2 2 4

Now, Triangle formed by AD, BE and CFbe PQR

P

Q RMp

NOr q

2 2 2q r pPM

2 2 4

2 2 2 2

21 c b b c aa2 4 4 8 8 16

2 2 2 29a c b b c

16 8 8 8 8

3a

4

Similarly 3

QN b4

3RO c

4

57. Here

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