CG BW2013 PAPER - I (QUANTITATIVEABILITIES) ~~~. I 334 …media.careerlauncher.com.s3.amazonaws.com/acads_download_section/BANk... · Ticket Number and Test Form Number on Side-I

CGDO NOT OPEN THE SEAL OF THE BOOKLET UNTIL YOU ARE TOLD TO DO SO.

Test Form No.~~~.334 NM 5

BW2013PAPER - I (QUANTITATIVE ABILITIES)

~-q:{- I (qR'UOII("qCfl3fR:l~~)Time Allowed: 2 Hours (For V.H. Candidates: 2 hrs. 40 min.)f.mfmr ~ : 2 r:R (~ 3ufk;ql(T ~ ~ : 2 r:R 40 fiRe)Read the following Instructions carefully before you begin to answer the questions. This booklet contains questions In English as well as In HindI.

~~~~~~-;ftT}fmi ~~ grr.:r~~~ I~~-ij~ ~(f?TT~~-ij~~f I

Maximum Marks: 200~Jiq;:200

INSTRUCTIONS TO CANDIDATES 3wf1~e4I(f~~~1. ~~-ij'¥f 1oo~~ I

in case of 2. ~3fu~~.q~~TfI1:~w.if-ij~~~<Iit~-ij~~lfR~1

3. <'!1:ft~~~~~GJUiR3fq;~ I

4. JfR W if ~ Jiq;;r ifrrr I ~ :Tffi'f ~ ~ ffrr{ 0·50 3fq; <iiTCT::;rrTf7T I

5. ~~~~~~3{N~~~~~~~~~~"F (1-20) fwm~"F~~~-m-;rtf &T1l1nt I~ 3{N

~~~~~~,," i7r<1i7M~ ~~~~~I

6. M~ WU ~ ~-~ 3lffi ~ ~ ~ I ~-~ ~ Side-I-ij~ ~ .= nn=f= arq;rr -:m:r, itf;r:p::arr, fZq;c ~ 3f#~ ¢1f ~~ ~"'~'w.if ~ ~ ~ -ij ~ ~ ~ ~

~-~ l:R f.Nffur ~ -ij ;mtI ~ ~m v:ci0JT\'t ~ ~ ~ C!>Tf.roH~~wmtl~~C!>T~Im~ ~'iI111.,~ ~ ~-~ ~ ~ ~ ~ 3fu 'F 3fq; ~~ I (~ ~ ~~~~ftrcriiJT~i:lU1m ~ I ~ ~ ~ ~ ~-~ ~ f.tuffur ~'Q'{ ~ ~ ~w ~ ~ q;y f.mr.r ~ ~ I >ill 'If!.uRi<'l~ ~~ en{ ~ f, ~~ ~ f.mr.r ~ .3WI1CfT~~~~en{~ I)

7. ~-~ -ij <'!1:ft~ Side-II.q ~ mr ~~ ~ ~ ~~ '!9r-i! q;) ~ ~~ ..m-r-~ ~ ~ ~ 1m q;J'ffi ~~ I -;;IT ~ ~ ~~ ~-~ ~ ~ ~ m:~, ~~~3fq;~~~1

8. m.~.3ll\. ~-~ -ij ~ ~ ~ ~ q;) ~ ~ Wft I ~~ ~~ 3WcfT~>mf.q~~~~imlt m~ 3fRI¥ffq;) ~' 3fq; ~ ~ I

9. -qt1llT~ ~ ~ ~-qt~ q;) '3ffi:-~ M~ ~ ~ q;{ ~

~I10. '3itR ~ ~ ~ ~ ~ ~ q;y 'Sft 'tffiiR Of ~ 'Q'{ ~ 'Q'{

f€cilq;ljfll{ ~ ~ 'ltT lfCFiift t~~ ~ 'ltT ~ t I11. fcfllrn w.if ~ '3ffi:~ <litfcJit:f ~ ~ ~ ~ ('!'J mr 20) -ij"\ q

~~-ij~~~t~;mtIw.if~'3ffi:~~~~~~ I12. w.if~'3ffi:~~~~~~~ I~~ 3lmH~;,FJ

~ ~ I ~ ~ ~ l:R ~ 3lftlq; lIlflI Of wmt I

13•• ~ ~ ~ mr 97 ~ 100 ~ ~ -ij ~ ~rft«r~WU~~~~~~~~TfI1:~ I

14. ~ '{'9'iCfil?i ~-~ 'Q'{ -;rtf <IW1l t I '{'9'iCfil?i ~ ~ ~ ~~~~1l1nt I

15. "rrttliTT 1fr;ff/ q;11if .q ~ ~ 'ifflT <fflrr ~ msr.r Tfft ~f.tfq f /3uthjcmr <liT~ 3IW f1rr.q ~ <It;;mft , fiI; ~~ IfcWt ~ <fflrr ~ msr.r <liT~ 3Ifq; 'IImI; r/t 3IW rm:r ;:rnff / TR' J17'l1'URq;r ~ ;:r m<liT rrttliTT .q ~ ~ q;rJTl11rrJTr.fT >ifT1!TTT 3f# ~ ~ q;rfqrf <Ift~, :r.rtIft~~q;(#$I"

1. This Booklet contains 100 questions.2. In questions set bilingually in English and Hindi,

discrepancy, the English version will prevail.3. All questions are compulsory and carry equal marks.4. The paper carries negative marking. 0·50 mark will be deducted for

each wrong answer.5. Before you start to answer the questions you must check up this

Booklet and ensure that it contains all the pages (1-20) and seethat no page is missing or repeated. If you find any defect in thisBooklet, you must get it replaced immediately.

6. You will be supplied the Answer-Sheet separately by the Invigilator.You must complete and code the details of Name, Roll Number,Ticket Number and Test Form Number on Side-I of theAnswer-Sheet carefully. You must also. put your signature andLeft-Hand thumb impression on the Answer-Sheet at the prescribedplace before you actually start answering the questions. Theseinstructions must be fully complied with, failing which, yourAnswer-Sheet will not be evaluated and you will be awarded 'ZERO'mark. (V.H. candidates will have to ensure .that these details are,filled in by the scribe. However all V.H. candidates must put theirleft-hand thumb impression at the space provided in theAnswer-Sheet. Those V.H. candidates who can. sign should alsoput their signatures in addition to thumb lmpresslon.)

7. Answers must be shown by completely blackening the correspondingovals on Side-ll of the Answer-Sheet against the relevant questionnumber by Black/Blue Ball-point Pen only. Answers which are notshown by Black/Blue Ball-point Pen will not be awarded any mark.

8. A machine will read the coded information in the OMR Answer-Sheet.In case the information is incomplete or different from the informationgiven in the application form, such candidate will be awarded 'ZERO'mark.

9. The Answer-Sheet must be handed over to the Invigilator before youleave the Examination Hall.

10. Failure to comply with any of the above instructions will render acandidate liable to such action/penalty as may be deemed fit.

11. The manner in which the different questions are to be answered hasbeen explained at the back of this Booklet (Page No. 20), which youshould read carefully before actually answering the questions.

12. Answer the questions as quickly and as carefully as you can. Somequestions may be difficult and others easy. Do not spend too muchtime on any question.

13. In lieu of Que tion Nos. 97 to 100 relating to figural portions, alternatequestions have been provided to be attempted by V.H. candidatesonly.

14. No rough work is to be done on the Answer-Sheet. Space forrough work has been provided below the questions.

15. "Mobile phones and wireless communication devices are completelybanned in the examination halls/rooms. Candidates are advised notto keep mobile phones/any other wireless communication deviceswith them even switching it off, in their own interest Failing tocomply with this provision will be considered as using unfair meansin the examination and action will be taken against them includingcancellation of their candidature. "

BW. 2013/Page 1

9. ~ x ~ ~ CfiT<f x ~ ~ Cfi{~ t "ffi~CfiT<f<it ~~~~ ~?. Y 11:\.,1 Cfi{'11~'1 •

2(A) xy~ (B) L ~

x2

(C) ~~y

10. cft;r ~ ~ CfiT<f ~ 1,200 ~ ~ ~ ~ ~CfiW ~ ~ 1 ~ ~ ~ ~ CfiT<f <it8 ~ ~, ~ ~ 12 ~ ~ 3fu: tR:m 0lIfffi16 ~ ~ ~ Cfi{~ t 1 ~ ~ ~ ~~ ~ ~ ~~14dl ~ ~ ~ 3 ~ ~ ~Cfi{~ ~ 1 d<:jBI(, ~ ~ 0lIfffi <it ~ urnfirWfi ?(A) ~ 180 (B) ~ 200(C) ~ 225 (D) ~ 250

11. ~ ~ A ~ B ~ ~-~ ~ ~ CfiT<f5~~~Cfi{~ 1~~Aq31l=r.ftcm~fClCb ~ -a ~ ~ -a CfiT<f ~ mm

1 .3fu: B ~ 31I=r.ftCj FRl fClCb ~ -a - ~-a. 3 .~ ~ mm, "ffi ~ CfiT<f 3 ~ ~ ~ W~ 1 d~~I(, A ~~CfiT<f~~~

~~~~?

(A) 5.! ~. 5

(C) 7~~ (D) 8~~

12. A ~ CfiT<f 20 ~ ~ 3fu: B ~ 30 ~ ~ Cfi{~ t 1 ~ GR1~-~ ~ 7 ~ CfiT<f~ ~ 1 d(q~'CjICLGR1~ ~ ~ ~ 1 ~ C~ ~ CfiT<f 10 ~ ~ ~ Cfi{ ~ t 1d~~I(, C ~ ~ CfiT<f ~ ~ ~ wmrCfi{~~?

(A) 25~ (B) 30~(C) 24 ~ (D) 20~

13. ~30+ ~30+ J30+ ... Cf)JlfH ~ ~ 1

(A) 5 (B) 3JiO(C) 6 (D) 7

14. 0, 7, 26, 63, 124, 217 ~ ~ ~ ~ -qc:;*-mt?

(B) 9960 (A) 217(D) 9995 (C) 26

1. f.tR~-a *-BT~ 25WU~t?(A) 303310 (B) 373355(C) 303375 (D) 22040

2. (1 __ 1 ) + (1 __ 2 ) + '(1 __ 3 J + ... -n+1 n+1 n+1

(1__ n )

n+1

3.

1(B) - n

21

(C) (n + 1) . (D) "2 (n + 1)

~q;~~~~~'z,t I~~~~ 'x' t ,I d~~I(, ~ q;~ ~ <?I'$f'Ctittl~~ Cf)J'qJlT ~ t ?

(A) n

(A) x (B) zz x

(C) 1- ~z

x(D) --1z

4. ~ ;ftcff q;~ ~ ~ ~ 6, 8, 12 en 16 ~~ ~ ~~, "ffi Cfl1l \ft lmT ~ ~t I d~~1( ~ q;~ ~ ~ ~ ~ ~~~t?(A) 60 (B) 72(C) 80 (D) 96

3 x 38 x 537x 1256~ ~ Cf)J~ *-m i?(A) 4 (B) 2(C)6 (D)8

5.

6. ~~~, ~tR~~~~~,"ffi~~~~~~"ijff{~?(A) 300 (B) 156(C) 68 (D) 785A7 ~ 335 ~ Cf)J~ 8B2 >rrn mmt 1 8B2, ~ 3 -a ~ t I d~~I(, A Cf)J~~lfH~Wrr?(A) 8 (B) 2(C) 1 (D) 4

10, 15, 20, -a ~: ~ 4-3lC61cm=ft ~~*-BTt?(A) 9990(C) 9980

7.

8.(B) 7

(D) 63

(B) 6i ~

BW. 2013/Page 3 SPACE FOR ROUGH WORK I \9i ~ ~ ~ ~

15. The marked price of a piano was ~ 15,000. Atthe time of sale, there were successivediscounts of 20%, 10% and 10% respectivelyon it. The sale price was(A) ~ 9,720 (B) ~ 9,750(C) ~ 9,760 (D) ~ 9,780

16. Sunil completes a work in 4 days, whereasDinesh completes the work in 6 days. Ramesh

works 11:. times as fast as Sunil. The three2

together can complete the work in

5(A) 1- days12

3(C) 1- days8

(B) 51- days7

51- days19

(D)I

17. A farmer can plough a field working 6 hoursper day in 18 days. The worker has to workhow many hours per day to finish the samework in 12 days?(A) 7(C) 11

(B) 9CD) 13

18. Two successive discounts of a% and b% on themarked price of an article are equivalent tothe single discount of

(A) (a + b)% (a+b-~)%100

(B)

(C) a+b%100

(D) a + b %2

19. A tradesman marks his goods 30% more than

the cost price. If he allows a discount of 61:.%,4

21. Three numbers are in the ratio 2 : 3 : 4. If thesum of their squares is 1856, then thenumbers are(A) 8, 12 and 16(C) 12, 18 and 24

(B) 16, 24 and 32(D) None of the above

22. If x runs are scored by A, y runs by Bandz runs by C, then x : y = y : z = 3 : 2. If totalnumber of runs scored by A, B and C is 342,the runs scored by each would be respectively(A) 144,96,~4 (B) 162,108,72(C) 180,120,80 (D) 189,126,84

23. ~ 900 is divided among A, B, C; the division

is such that 1:. of A's money = 1:.rd of B's2 3

money = ith of C's money. Find the amount

(in ~) received by A, B, C.

(A) 300,400,200(C) 200,300,400

(B) 350, 450, 100(D) 400;150,350

24. If ~ 126·50 is divided among A, B and C inthe ratio of 2 : 5 : 4, the share of B exceedsthat of A by(A) ~ 36·50(C) ~ 34·50

(B) ~ 35·50(D) ~ 33·50

25. The average of first three numbers is doubleof the fourth number. If the average of all thefour numbers is 12, find the 4th number.

(A) 16 (B) 487

187

(C) 20 (D)then his gain percent is

(A) 3 (B) 22% 26. The third proportional of 12 and 18 is23-%4 (A) 3 (B) 67(C) 21-% (D) 30% (C) 27 (D) 1448

20. A shopkeeper purchased a chair marked at 27. Ram got twice as many marks in English as~ 600 at two successive discounts of 15% and in Science. His total marks in English,20% respectively. He spent ~ 28 on Science and Maths are 180. If the ratio of histransportation and sold the chair for marks in English and Maths is 2 : 3, what are~ 545. His gain percent was his marks in Science?(A) 25% (B) 30% (A) 30(C) 35% (D) 20% (C) 72

(B) 60(D) 90

BW. 2013/Page 4 SPACE FOR ROUGH WORK / \9> ~ ~ ~ ~

15. ~ ~ q;r ~ ~ ~ 15,000 ~ I ~ 21. ~ m-rm q;r ~ 2 : 3 : 4 t I ~ ~~ ~ ~ lR 20%, 10% ~ 10% efa ~ qrjl q;r lI1Jllh(?l 1856~, eft ~ ~ ~-~~ W ~ ~ I (1~{'11(, ~ M ~ ~?~ ~ ? (A) 8, 12 ~ 16 (B) 16, 24 ~ 32(A) ~ 9,720 (B) ~ 9,750 (C) 12, 18 ~ 24 (D)"3m ~ ~(C) ~ 9,760 (D) ~ 9,780

22. ~ A ~ x v:r ~ m, B ~ y v:r ~ C ~ z v:r16. ~ ~ cnT<f ~ ~ -ij ~ ~ t ~ ...+ ~ ~...+?.

~ ~ ~ ~ ~...+? ~~I, (11 x:y=y:z=3:2~ I "11~A,B~I~"~I ~ q")1~ 6 I~"I ~ ~ Cf;\ 'T1T('fl' ~ I "11~ C efa ~ v:r-m-r 342 ~, eft ~ ~~, ~ -a I.!. ~ ~ -am Cf;\ ~ v:r-m-r~: ~ ~ ?

2~, eft cft;:IT ~_~ ~ ~ m ~ ~ (A) 144,96,64 (B) 162, 108,72-ij ~ Cf;\ ~ ? (C) 180, 120, 80 (D) 189, 126, 84

5 5 23. ~ 900 en) A, B, C -ij ~ ~ 3fu: m ~(A) 1- ~ (B) 1- ~

12 7 ~ ~ ~ fcf; A efa urn q;r .!. = B efa urn q;r2

(C) 1~ ~ (D) 1~ ~ 1 . 18 19 - = C efa urn q;r -, eft A, B, C ~ >rrn efa

3 417. \~ ~ >ffir ~ 6 eR m m ~ m en) ~ urn (~-ij) fcf;o;ft~?

18 ~ -ij ~ ~ ~ I (1~{'11( ~ ~ m12 ~ -ij ~ ~ ~ ~ >ffir ~ ~ eR (A) 300,400,200 (B) 350,450,100m~ ~ ? (C) 200, 300, 400 (D) 400, 150, 350

(A) 7 (B) 9 24. ~ ~ 126·50 en) A, B ~ C -ij 2 : 5 : 4 ~(C) 11 (D) 13 ~ -ij ~ ~, eft B q;r trflT A efa ~&lT

18. ~ ~ ~ ~ ~ lR a% ~ b% efa ~ ~ ~ m-m ?~ ~ ~ ~ fcf;o;ft ~ ~ ~ ~ ? (A) ~ 36·50 (B) ~ 35·50

(C) ~ 34'50 (D) ~ 33·50(A) (a + b)% (B) (a + b - ab)% 25. ~ ~ m-rm q;r ~, ~ m-r q;r

100 ~ ~ I ~ To{ ~ ~ m-rm q;r ~ 12(C) a+b% (D) a+b% ~,eft~m-r~~ I

100 219. ~ ~ ~ ~m q;r ~, ~ ~ (A) 16 (B) ~8

~-a30%~~~t 1~~To{18

lR 6.!.% efa ~ tft~, eft ~ "ffi11 q;r ~ (C) 20 (D) 74

~~?1q")(l'11 ~I'II 26. 12 ~ 18 q;r <fu:m {'141jQlrnCfi fcf;o;rr m-m ?

(A) 23~ % (B) 22% CA) 3 (B) 64

(C) 212. % (D) 30% (C) 27 (D) 1448 27. ~ en) ~ -ij ~ efa ~&lT ~ ~ ~ I

20. ~ =5,CfirTl"l"T::GrTTl(~ ~ 600 ~ ~ ~ efa ~ ~~, ~ ~ TTfURr~ ~ >rTRicf; 180¢~: 15% ~ 20% efa ~ ~ ~ lR ~ ...+? ...........4- ~~ ~ .4-~ I ~ ~ ¢ ~qft:Cji!H lR ~ 28 ~ ~ 1(1~{'11(, "11~ ~~q") ~~~I ~ '11"1(1 q")

~, d('<l~:ql~ ~ ~ 545 -ij ~ ~ I (1~{'11( ~ q;r ~ 2 : 3 ~, eft ~ ~ ~~ "ffi11 q;r ~ ~ ~ ?>rTRicf; ~ ~ ?(A) 25% (B) 30% (A) 30 (B) 60(C) 35% (D) 20% (C) 72 CD) 90

BW. 2013/Page 5 SPACE FOR ROUGH WORK / ~ q;J<f ~ ~ ~IJ.XII?

(A) 27km1hr

(C) 25 kmlhr

28. Sachin Tendulkar has a certain average for 35.11 innings. In the 12th innings he scores120 runs and thereby increases his averageby 5 runs. His new average is

, (A) 60 (B) 62(C) 65 (D) 66

29. The average of 11 results is 50. If the average 36.of the first six results is 49 and that of thelast six is 52, the sixth result is(A) 48 (B) 50

(C) 52 (0) 5637.

30. By selling 25 metres of cloth a trader gains .the selling pri~e of 5 metres of cloth. The gainof the trader in % is(A) 25 (B) 20(C) 28 (D) 29

31. A sells a suitcase to Bat 10% profit. B sells itto C at 30% profit. If C pays ~ 2,860 for it, 38.

then the price at which A bought it is

(A) ~ 1,000 (B) ~ 1,600

(C) ~ 2,000 (D) ~ 2,500

32. If the average of 6 consecutive even numbersis 25, the difference between the largest and 39.the smallest number is(A) 8 (B) 10

(C) 12 (D) 14

33. A train goes from Ballygunge to Sealdah atan average speed of 20 kmlhour and comesback at an average speed of 30 kmlhour. Theaverage speed of the train for the wholejourney is

(B) 26 kmlhr

(D) 24 kmIhr

34. The arithmetic mean of 100 observations is24, 6 is added to each of the observations andthen each of them is multiplied by 2·5. Findthe new arithmetic mean.

(A) 30

(C) 35

(B) 75

(D) 60

Sourav purchased 30 kg of rice at the rate of~ 10 per kg and 35 kg at the rate of ~ 11 perkg. He mixed the two. At what price per kg(in ~) should he sell the mixture to make a30% profit in the transaction ?(A) 12·5 (B) 13(C) 13·7 (D) 14·25

A number increased by 22.!. % gives 98. The2

number is(A) 45(C) 80

(B) 18(D) 81

Two items A and B are sold at a profit of 10%and 15% respectively. If the amount of profitreceived is the same, then the cost price of AandB maybe{A) ~ 1,000, ~ 1,500(B) ~ 5,000, ~ 2,000(C) ~ 3,000, ~ 2,000(D) ~ 3,000, ~ 5,000

In an examination A got 25% marks morethan B, B got 10% less than C and C got 25%more than D. If D got 320 marks out of 500,the marks obtained by A were(A). 405 (B) 450(C) 360 (D) 400

Gita buys a plot of land for ~ 96,000. She

sells ~ of it at a loss of 6%. She wants to5make a profit of 10% on the whole transactionby selling the remaining-land. The gain % onthe remaining land is

(A) 20

(C) 14

(B) 20~3

(D) 7

40. An article is sold at a gain of 15%. Had itbeen sold for ~ 27 more, the profit wouldhave been 20%. The cost price of the article is(A) ~ 500 (B) ~ 700(C) ~ 540 (D) ~ 545

41. On selling 17 balls at ~ 720, there is a loss. equal to the cost price of 5 balls. The cost

price (in ~) of a ball is(A) 45 (B) 50(C)55 (D)60

BW. 2013/Page 6 SPACE FOR ROUGH WORK 1\9> CfiT<f ~ ~ ~

(B) 75

(D) 60

28. ~ d5(1(h( ~ 11 ~ q;r ~ ~ ~ 35.~ I ~ ~ 12cff~-q 120\1~ ~3fmo -q 5\1~ ~ ~ ~ ~ I dG¥iR, ~~ ~ fcf;a;rr ~ ?

(A) 60 (B) 62

(C) 65 (D) 66

29. 11 qf{ullJO(1q;r ~ 50 ~ I ~ ~ ~ 6 36.qf{ulilil q;r ~ 49 m 3fu: ~ 6 q;r 52 m,(!) ~ murm fcf;a;rr ~ ?

(A) 48 (B) 50

(C) 52 (D) 56

30. ~ ~ q;) 25 lf0: ~ ffi tR 5 lf0:~ ~M~ ~~ ~)ffif men ~Idc;j~R, ~~q;r~~~~?

(A) 25 (B) 20

(C) 28 (D) 29

31. A, B q;) ~ ~ 10% ~ tR ~ tn ~ I B~ C q;) 30% ~ tR ~ tn ~ I dc;j~R, ~ 38.C~~~ ~ 2,860~W, (!) A~~~-q~~?

(A) ~ 1,000 (B) ~ 1,600

(C) ~ 2,000 (D) ~ 2,50032. ~ 6 ~ ~ ~3TI q;r ~ 25 m, (!)

~~~om~-mtt~q;r~ 39.fcf;a;rr ~ ?

(A) 8 (B) 10

(C) 12 (D) 14

33. ~ ~ ISIldllj\Jl ~ ~41(1C;1~ crcn 20 M/ti.~ 3fmo TTRr ~ ~ ~ 3fu: 30M/ti. ~~ TTfa ~ cntm 3lT \iI"Rft ~ I dc;j~ R ~~ ~ Wt <mil ~ ~ TTRr fef;a;ft ~ ?(A) 27 M/ti. (B) 26 M/ti.

(C) 25 M/ti. (D) 24 M/ti.

34. 100 ~a:fUIT q;r ~ m'aT 24 ~ I ~ ~a:fUIT -q~ -q 6 ~ tR, dfq~ill~ ~ q;) 2·5~ TIT ~ tR, ~ ;p;rr ~ m'aT ~ m~?(A) 30

(C) 35

~ ~ aofsm ~ ~ 10 -smr fcnm ~ ~ tR~ 3fu: 35 fcnm, ~ 11 -smr fcnm ~ ~ tR I~ ~ $IT q;) fiR;n ~ I (IGf ~ ~ -m~q;) 30% ~ )ffif ~ ~ ~, ~ ~ -smrfcnm~~tR~~?(A) 12·5 (B) 13(C) 13·7 (D) 14·25

~ ~ -q 22.!.% ~ ~ tR ~ 98 m \iI"Rft2

~ I dc;j~R, ~ ~ fef;a;ft ~ ?

(A) 45 (B) 18(C) 80 (D) 81

37. -c;T ~ A om B Sfilm: 10% om 15% ~ tR~~~ 1~~tR)ffif~~um~WfR ~ m, (!) A ~ B q;r ~ ~ ~m~~?(A) ~ 1,000, ~ 1,500(B) ~ 5,000, ~ 2,000(C) ~ 3,000, ~ 2,000(D) ~ 3,000, ~ 5,000~ -Wan -q A q;) B ~ ~an 25% ~ 3lcf;~ I ~ B q;) C ~ ~an 10% Cfjl:f3lcf; ~3fu: C q;) D ~ ~an 25% ~ 3lcf; ~ I~, ~ D q;) 500-q ~ 320 3lcf; ~ W, (!)Aq;)~ 3lcf;~~?(A) 405 (B) 450(C) 360 (D) 400Tfurr ~ ~ q;r ~ ~ ~ 96,000-q ~ ~ I~~ ~ mrr 6%mf.rtR~~~ I ~

5~ ~ mrr ~ ¥f ~ 10% Cfii:fRT~

~ I dc;jflR ~ ~ mrr ~ ~ ~ tR~Wrr?

(B) 20~3

(C) 14 (D) 740. ~ CR=g q;) 15% ~ tR ~ 7p:JT ~ I ~ ~

~ 27 ~ ~ tR ~ \iffifT, (!) ~ 20%m\iffifT I dc;j~ R, ~ CR=g q;r ~ ~ ~ ~ ?(A) ~ 500 (B) ~ 700(C) ~ 540 (D) ~ 545

41. 17 ~ q;) ~ 720-q ffi tR ~ 5 ~ ~ m-rRf~ ~ ~ mf.r sft ~ I dc;j~R, ~ 11G q;r~~(~-q)~~? .(A) 45 (B) 50(C) 55 (D) 60

(A)· 20

BW. 2013/Page 7· SPACE FOR ROUGH WORK I ~ q;y<f *~ ~

42. The distance between places A and B is999 km. An express train leaves place A at6 am and runs at a speed of 55'5 kmlhr. Thetrain stops on the way for 1 hour 20 minutes.It reaches B at(A) 1·20 am(C) 6 pm

(B) 12 pm(D) 11pm

43. If a boy walks from his house to school at therate of 4 km per hour, he reaches the school10 minutes earlier than the scheduled time.However, if he walks at the rate of 3 km perhour, he reaches 10 minutes late. Find thedistance of his school from his house.(A) 5 km(C) 6 km

(B) 4 km(D) 4·5 km

44. Two trains are running 40 kmlhr and20 kmlhr respectively in the same direction.The fast train completely passes a mansitting in the slow train in 5 seconds. Thelength of the fast train is

(A) 23~ m (B) 27 m9

7(C) 27- m

9(D) 23 m

45. The compound interest on ~ 5,000 for 3 yearsat 10% p.a. will amount to

(A) ~ 1,654

(C) ~ 1,600

(B) ~ 1,655

(D) ~ 1,565

46. Three sets of 40, 50 and 60 students appearedfor a~ examination and the pass percentage'was 100, 90 and 80 respectively. The passpercentage of the whole set is

(A) 88~3

88.!.3

(D)

(B) 84~3

84.!.3

(C)

47. A certain distance is covered by a cyclist at acertain speed. If a jogger covers half thedistance in double the time, the ratio of thespeed of the jogger to that of the cyclist is(A) 1: 4 (B) 4: 1

(C) 1: 2 (D) 2: 1

48. If a sum of money compounded annuallybecomes 1·44 times of itself in 2 years, thenthe rate of interest per annum is(A) 25% (B) 22%(C) 21% (D) 20%

49. Alawn is in the form of a rectangle having itsbreadth and length in the ratio 3 : 4. The area

of the lawn is ..!-. hectare. The breadth of the12

lawn is(A) 25 metres(C) 75 metres

(B) 50 metres(D) 100 metres

50. A right circular cone is 3·6 em high andradius of its base is 1·6 em. It is melted andrecast into a right circular cone with radius ofits base as 1·2 cm. Then the height of the cone(in em) is(A) 3·6(C) 6·4

(B) 4·8(D) 7·2

51. The area of a rectangle is thrice that of asquare. The length of the rectangle is 20 cm

and the breadth of the rectangle is ~ times2

that of the side of the square. The side of thesquare, in cm, is

(A) 10

(C) 30

(B) 20

(D) 60

52. What sum will give ~ 244 as the differencebetween simple interest and compound

interest at 10% in 1.!. years compounded half2

yearly?

(A) ~ 40,000(C) ~ 32,000-,

(B) ~ 36,000(D) ~ 28,000

53. A'sum of ~ 3,200 invested at 10% p.a.compounded quarterly amounts to ~ 3,362.Compute the time period.

1(A) "2 year (B) 1 year

(C) 2 years 3(D} - year4

BW. 201 3/Page 8 SPACE FOR ROUGH WORK I \9> ~ ~ ~ ~

42. A ~ B ~ ~ ~ c:fiT~ 999 M t I ~ 48.~i'ffi~~ ~ ~ A'B 6 ~ >mf: 55·5 M /ti..c:fiT-rrftr 'B ~ t I ~ ~ 00 -ij ~ ~ 1R1 tW 20~ ~ t I d<;j~R, ~ B Ocfl~~~?(A) 1·20 am (B) 12 pm

(C) 6 pm (D) 11pm

43. ~ ~ ~ ~ t:R 'B 4 M >ffir tW c:fiT-rrftr 'B ~, (f) ~ ~ Rlo:Jl(?t4~ ~ 'B10~~~~t 11R~~3M>ffir tW ~ -rrftr 'B ~, (f) ~ 10 ~ ~ 'B~ 'ffifT t I d<;j~ R, ~ t:R 'B Rlo:JI(?t4 c:fiT~mo~1(A) 5 M (B) 4 M 50.

(C) 6M (D) 4·5 M44. ~ {(?tJII~ ~ ~ ~ -ij Sfilro: 40 M/ti.. ~

20 M/ti.. ~ -rrftr ~ ~ ~ t I ~ ~{(?tlll~, ~ ~ -ij ~ ~ ~ cxffiF; q;)5 ~ -ij Tffi ~ "ffifi t I d<;j~R, ~ {(?tIll:$)c:fiT~ fcf;a;fi t ?

(A) 23 ~ lft.9

(C) 27'i lft.9

45. ~ 5,000 1R 3 ~ Cf)T10% ~ c:fiT~ 1R:qSfl1~ ~ ~ WIT ?

(A) ~ 1,654 (B) ~ 1,655

(C) ~ 1,600 (D) ~ 1,565

46. ~ ~~ -ij 40, 50 ~ 60 ~ ~ (ft;r ~;r 52.'lWT ~ 3fu: ~ ~ 3tfloidl ~ ~:100, 90 ~ 80 ~ I dWR, ~ ~ ~ ~~ ~ Cf)T3tfloidl ~ ~ ~ ?

(A) 88~ (B) 84~3 3

(C) 88! (D) 84!3 3

47. ~ ~I$fcti(?t ~ ;r ~ ~ -rrftr 'B ~~ ~ ~ c:fiTI ~ ~-~ ~ 3l1tft~, ~ ~ -ij ~ Cfil:, (f) "dB ~ 3fu:~ I$fcti(?t~ c:fiTTfRr;q1 Cf)T~ ct<rr WIT ?(A) 1: 4 (B) 4: 1(C) 1: 2 (D) 2: 1

(B) 271ft.

(D) 231ft.

~ ~ ~ ~ 3lNR 1R 'CISf)1~ ~1R 2 ~ -ij ~ 1·44 :Ft m ~ t (f) "dB~ c:fiT~ ~ fcfKr;ft t ?

(A) 25% (B) 22%(C) 21% (D) 20%

49. ~ 3i14d1CflR~ ~ ~ ~ ~ 3 : 4 ~

~-ijt 1"dB~Cf)T~ ~ ~12

t I d<;j~m:, "dB~ c:fiT~ fcfKr;ft t ?

(A) 25 lf0: (B) 50 lf0:

(C) 75 lf0: (D) 100 lf0:

~ ~-~ ~ c:fiT~ 3·6 ~ 3fu: ~3lNR cfiT~ 1·6 ~ t I "3B"CflT ~ Cfil:"3"it

1·2 ~ 3lNR ~ ~ ~-~ ~ -ij ~~t I dWR, "dB~~ctft~~~~ ? '(A) 3·6 (B) 4'8(C) 6·4 (D) 7·2

51. ~ 3TI4OCf)T~ ~ crt ~ ~ Cf)T"ffiTnt I "dB 3TI4O c:fiT~ 20 ~ t 3fu: ~~, "dB crt c:fiT~ c:fiT% :Ft t I d<;j~ R,

"dBcrtc:fiT~~~~t? .

(A) 10 (B) 20

(C) 30 (D) 60

~ ~ mo ~,·m 1R 1! ~ -ij 10%2

~ ~ 1R ~ ~ TfQ; 'CISf)1~ ~ 3fu:~ m'QR'OT ~ Cf)Tam ~ 244 WIT I

(A) ~ 40,000 (B) ~ 36,000(C) ~ 32,000 (D) ~ 28,000

53. ~ 3,200 ~ ~ 10% ~ ~ 1R- ~41fBCfl3lNR 1R 'CISfl1~ ~ 1R ~ q;8 1R

~ 3,362 m ~ t I d<;j~R, "dB ~ ~

~mo~1(A) ! qtf

2(B) 1qtf

(C) 2 qtf (D) ~qtf4

BW. 2013/Page 9 SPACE FOR ROUGH WORK / ~ ~ ~ ~ ~

54. The diagonals, of a rhombus are 12 em and16 em respectively. The length of one side is(A) 8 em (B) Hcm(C)· 10 em (D) 12 cm

55. A rectangular block of metal has dimensions21 em, 77 em and 24 em. The block has beenmelted into a sphere. The radius of the sphere

is (Take 1tas 22)7

(A) 21cm (B) 7cm 62.

(C) 14cm (D) 28cm

56. If h, c, v are respectively the height, curvedsurface area and volume of a right circularcone, then the value of 31tvh3 - c2h2 + 9v2 is 63.

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

The volume of a conical tent is 1232 cu. m andthe area of its base is 154 sq. m. Find the 64.length of the canvas required to build thetent, if the canvas is 2 m .in width.

(Take 1t= 22)7

(A) 270 m (B) 272 m

(C) 276 m CD) 275 m 65.

58. Assume that a drop of water is spherical andits diameter is one-tenth of a cm. A conicalglass has a height equal to the diameter of itsrim. If 32,000 drops of water fill the glasscompletely, then the height of the glass, in

57.

cm, is

(A) 1

(C) 3

(B) 2

(D) 4

59. The total number of spherical bullets, each ofdiameter 5 decimeter, that can be made byutilizing the maximum of a rectangular blockof lead with 11 metre length, 10 metrebreadth and 5 metre width is (assume that1t> 3)

(A) equal to 8800(C) equal to 8400

(B) less than 8800(D) greater than 9000

60•. The area of an equilateral triangle is 9 J3 m2.

The length (in m) of the median is(A) 2J3 . (B) 3J3(C) 3/2 (D) 2/2

61. If each edge of a cube is increased by 50%, thepercentage increase in surface area is(A) 125% (B) 50%(C) 100% (D) 75%

How many tiles, each 4 decimeter square, willbe required to cover the floor of a room 8 mlong and 6 m broad?(A) 200(C) 280

(B) 260(D) 300

If the surface areas of two spheres are in theratio 4 : 9, then the ratio of their volumes willbe(A) 4: 9(C) 8: 27

(B) 16: 27(D) 16: 9

If x = y = 333 and z = 334, then the values

f 3 3 3 3 .o x+y+Z-XyZlS(A) 0

(C) 1000(B) 667(D) 2334

66.

2 x _ b2 x _ c2If x - a + + __ = 4 (a + b + c),

b+c c+a a+b

then x is equal to

(A) (a + b + c)2

(B) a2 + b2 + c2

(C) ab + be + ca

-CD) a2 + b2 + c2 - ab - be - ca

If a right circular cone of height 24 cm has avolume of 1232 cm3, then the area (in cm2) ofcurved surface is

. (A) 550(C) 924

(B) 704(D) 1254

67. The diameter of a circular wheel. is 7 m.How many revolutions will it make intravelling 22 km ?(A) 100(C) 500

(B) 400CD) 1000

BW. 2013/Page 10 SPACE FOR ROUGH WORK / \9> cwf ~ ~ ~

54. ~ ~ ~ fcrcf;uf Sfilrn: 12 Wft om 60.

16 Wft ~ I d~(o\R, ~ ~ ~ ~ ~~QPft ?(A) 8 Wft (B) 6 Wft(C) 10 Wft . (D) 12 Wft

55. ~ tTTg ~ 3i14d1CflR ~ ~ mq 21 Wft, 61.77 Wft om 24 Wft ~ I ~ ~ <it fql:Ol~1C41(

~ ~ GRT~PT41 % I d~(o\R (1t= 22 ~)7

~ ~ efiT~ fcIm;fi QPft ?

(A) 21 Wft (B) 7 Wft(C) 14 Wft (D) 2'8 Wft

56. ~ ~ ~-~ ~ efiT~, ~ ~ q;r

~ om ~ Sfilrn: h, e, v m, -aT

31tvh3- e~2 + 9v2q;r 11H fef;o;rr ~ ?

(A) . 2 (B) - 1

(C) 1 (D) 0

57. ~ ~ ~ CfiT ~ 1232 CR W:fi % 3fu:~ wm: CfiT~ 154 crt Wft % I d~(o\R

(1t = 22 ~) ~ ~ <it ~ ~ ~ 64.7

3'tlct~4C41 ~ <.fIT ~ 'ffi(f ~, ~

~ ~~2lft?J:~m I(A) 270lft, (B) 272lft,(C) 276lft, (D) 275lft.

58. 11H ~ fcf; ~ <.fIT ~ is ln~IC41R ~ %3fu: ~ ~ ~ Wft % I ~ ~ fTK;m:r

10~t ~~, ~ ftJl ~ ~ ~ ~% I d~(o\ R, ~ ~ <.fIT 32,000 ~ ~ fTK;m:r<it ~ 'R t -aT~ ilR1rB ~ ~ ~ WftQPft? '(A) 1 (B) 2(C) 3 (D) 4

59. 11 lft?J: ~, 10 lft?J: ~ om 5 lft?J: ~~ ~ 3't14d1CflR ~ ~ ~ q;r ~m-rr m 5 ~41Jflc(~ ~ ~ fcIm;fi .ln~IC41R ~ ~ \iI1 ~ ~ ~ ~ fcf; 67.1t>3%)?(A) 8800 ~ ~ (B) 8800 ~ Cf)IJ(C) 8400 ~ ~ (D) 9000 ~ ~

~ ~ ~.q;r ~ 9J3 m2 % Id~(o\I(· ~ ~ ~ ~ ~ lft?J:QPft ?(A) 2J3(C) 3J2

(B) 3J3(D) 2J2

~~CRq;r~mu 50%~~~,-aT~~~#~~~m~?(A) 125%(C) 100%

(B) 50%(D) 75%

62. 8lft?J: ~ 3fu: 6lft?J: ~ ~ ~ ~ ~ <it~ ~ ~ 4 ~4141c(crt ~ ~ ~fcIm;fi ~ ~ 3'tlct~4C41dl QPft ?(A) 200 (B) 260(C) 280 (D) 300

63. ~ ~ -rflffi.~ ~ ~ q;r ~ 4: 9 m,-aT~~q;r~Cf41~?

(A) 4: 9 (B) 16: 27(C) 8: 27 (D) 16: 9

~ x = y = 333 3fu: z = 334 m, -aT3 3 3 ~X + Y + z - 3xyz q;r lTR Cf41QI'II ?

(A) 0 (B) 667(C) 1000 (D) 2334

. .....c:::. X - a2 X - b2 X - e265. ~Ico. + + -- = 4 (a + b + e)

b+e c+a a-e bm,-aTx~~~?

(A) (a + b + e)2

(B) a2 + b2 + e2

(C) ab + be + ea

(D) a2 + b2 + e2 - ab - be - ea

66. 24 W:fi ~ ~ ~ ~-~ ~ q;r ~1232 W:fi3 % I d~~ R, ~ ~ ~ q;r~~cWft2#)~?(A) 550 (B) 704(C) 924 (D) 1254

~ <!'dIC41R ~ q;r ~ 7lft?J: % I d~(o\R,22fcnl:fiocn~#~~~~"@T ?(A) 100 (B) 400(C) 500 (D) 1000'

BW. 2013/Page 11 SPACE FOR ROUGH WORK / ~ CfiT<f ~ ~ ~

68. The value of 2 ~4J2 ~4~2 ?j4 ..... is

(A) 2 (B) 22

(C) 23 (D) 25,

69. The value of

{312

(J3 + J6) -(A) J2(C) J3

4J3 J6}(J6 + J2) + (J2 + J3) is

(B) 0

(D) J6

75. L A, L B, L C are three angles of a triangle. IfLA - L B = 15°, L B - L C = 30", then LA,L B and L Care

(A) 80°, 60°, 40°(C) 80°,65°,35°

(B) 70°, 50°, 60°(D) 80°,55°,45°

76. If ABC is an equilateral triangle and D is apoint on BC such that AD ..1BC, then

(A) AB: BD = 1 : 1(B) AB: BD = 1 : 2(C) AB: BD = 2: 1(D) AB: BD = 3: 2

70. If a2 + b2 + c2 = 2 (a - b -=- c) - 3, then thevalue of 4a - 3b + 5c is 77. ~ ABC is an isosceles triangle and

(A) 2

(C) 5

(B) 3

(D) 6

71. 2 1If 2x + - = 3, then the value of x3 + 3 + 2

x xis

(A)98

(B)258

(C) 78

(D)' 11

72. Out of the given responses, one of the factorsof (a2 - b2)3 + (b2- c2)3 + (c2 - a2)3 is

(A) (a + b)(a - b)

(B) (a + b)(a + b)

(C) (a - b)(a - b)

(D) (b - c)(b - c)

If (x - a) (x - b) = 1 and a - b + 5 = 0, then3 1the value of (x - a) - 3 is

(x- a)(A) - 125 (B) 1(C) 125 u» 140

If .,Jx = J3 - J5, then the value of2 -

x -16x + 6 is

73.

74.

AB = AC = 2a unit, BC = a unit. Draw

AD ..1BC, and find the length of AD., '

(B) J15 a unit .2

(A) J15 a unit

(C) .f0 a unit (D) .f0 a unit2

78. All sides of a quadrilateral ABCD touch a

circle. If AB = 6 c::m,BC = 7·5 cm, CD = 3 em,then DAis

(A) 3·5 em(C) 2·5 em

(B) 4·5 em(D) 1·5 ern

79. If x = W5 + 2, then the value of

x3 - 6x2 + 12x - 13 is(A) -1

(C) 2 .

(B) 1

\ (D) 0

80. \ A tower standing on a horizontal planesubtends a certain angle at a point 160 mapart from the foot of the tower. Onadvancing 100 m towards it, the tower isfound to subtend an angle twice as before.The height of the tower is

(A) 0

(C) 2

(B) -2 (A) 80 m(D) 4- (C) 160 m

(B) 100 m(D) 200 m

BW. 2013/Page 12 SPACE FOR ROUGH WORK / ~ ~ ~ ~ ~

68. 2 ~4J2 ~4J2 V4 .....Cf)f lfR ~ ~ ?

(A) 2 (B) 22

(e) 23 (D) 25

{3J2 4J3 J6 ' }

69. (J3 + J6) - (J6+ J2) + (J2 + J3:)Cf)f lfR ~ -m- ?

(A) J2(e) J3

(B) 0

(D) J670. ~ a2 + b2 + c2 = 2 (a - b - c) - 3 m, m

4a - 3'b+ 5c Cf)f lfR ~ -m- ?

(A) 2 (B) 3

(e) 5 (D) 6

71. ~ 2x+ ~ = 3 m, m x3 + ~ + 2 Cf)f lfRx . x~-m-?

(A) 9 (B) 25- - --8 8

(e) 7 (D) 11- .J8

72. ~~~~-ij-B(a2 _ b2)3 + (b2 _ c2)3+ (c2 _ a2)3

Cf)f ~ ~ ~-m mrrr ?

(A) (a + b) (a - b)

(B) (a + b)(a + b)(e) (a - b)(a - b)(D) (b - c)(b - c)

73. ~ (x - a) (x - b) = 1 crm a - b + 5 = 0 m, m(x - a)3 - 1. Cf)f lfR ~ -m- ?

(x - a)3

(A) - 125 (B) 1(e) 125 (D) 140

74. ~ Fx = J3 - J5 m, m x2 - 16x + 6 Cf)flfR ~ mrrr?(A) 0 (B) -2

(e) 2 (D) 4

75. L A, L B, L e ~ ~ ~ (fA ctiToT ~ I ~

L A - L B = 15°, L B - L e = 30° m, mLA,LBcrm Le~lfR~mrt?

(A) 80°,60°,40°(e) 80°,65°,35°

(B) 70°,50°,60°(D) 80°,55°,45°

76. ~ABe~~~~3fu:D~~~Be 1R t ~ AD 1. Be t m f¥:;r -ij~ ~~?

(A) AB: BD = 1 : 1(B) AB: BD = 1 : 2 .(e) AB: BD = 2 : 1(D) AB: BD = 3 : 2

77. AABe, ~ ~JOIraiSll§) ~ ~ I ~AB = Ae = 2a ~ 3fu: Be = a ~ ~ I(1q~1(, ~ AD i Be @f:qCfi{ AD cfiT~

~~I

(A) J15 a ~ (B) J15 it ~2

(e) m a ~ (D) m a ~2 .78. ~ ~ ABeD cfiT~ ~ ~ err "CfiT.

~~, I ~ ~ AB = 6W:ft", Be = 7·5Wft,·.eD=3W:ft"m, m DA~~?

/ (A) 3',5Wft (B) 4·5 Wft

(e) 2·5 Wft (D) 1·5 Wft

79. ~x = '¥5 + 2 m, m x3 - 6x2+ 12x - 13Cf)flfR ~-m-?(A) -1 (B) 1

(e) 2 (D)080. ~ ~ m; 1R ~ ~_lft;m: ~ l@ 31T'qR

(~)"B. 160lfR:{ ~ ~ ~ ~"B ~ ~ctiToT «RRft ~ I ~ ~ cfi) 100~ 31T'qR·cfiT3fu:.~ ~ 1R lft;m:'"B~ ctiToT ~ Cf)f ~ m~~ I (1q~l(, ~lft;m:cfiT~~~?

(A) 80~ , (B) 100~

(e) 160~ (D) 200~

BW. 2013/Page 13 SPACE FOR RO\JGH WORK / ~ CfiT<f ~ ~ ~ .

81. Let C be a point on a straight line AB. Circles 86.are drawn with diameters AC and AB. Let Pbe any point on the circumference of the circlewith diameter AB. If AP meets the othercircle at Q, then

(A) QC II PB

(B) 'QC is never parallel to PB

(C) QC = ! PB, 2

(D) QC II PB and QC = ~ PB

82. In a right-angled triangle, the product of twosides is equal to half of the, square of the thirdside, i.e., hypotenuse. One of the acute anglesmust be

83. If two concentric circles are of radii 5 em and3 em, then the length of the chord of thelarger circle whichtouches the smaller circle 89.is

(A) 6 em

(C) 10em

(B) 7 em

(D) 8 cm

84. Inside a square ABCD, ~ BEC is anequilateral triangle. If CE and BD intersectat 0, then L BOC is equal to

(A) 60°

(C) 90°

(B) 75°

(D) 120°

D and E are two points on the sides ACand BC respectively of ~ ABC such thatDE = 18 em, CE = 5 em and L DEC = 90°. If

tan L ABC = 3·6, then AC : CD =

(A) BC: 2 CE

(C) 2 BC: CE

(B) 2 CE: BC

(D) CE: 2 BC

87. D is a point on the side BC of a triangle ABC

such that AD .1 BC. E is a point on AD for

which AE : ED = 5 : 1. If L BAD = 30° and

tan (L ACB) = 6 tan (L DBE), then L ACB =

(A) 30°

(C) 60°

88. If sin e + cos e = J2 cos e, then the value of(cos e - sin e) is

(A) .J3 cos e(C) J2 cos e

(B) .J3 sin e(D) J2 sin e

An isosceles triangle ABC is right-angled atB. D is a point inside the triangle ABC. P andQ are the feet of the perpendiculars drawnfrom D on the sides AB and AC respectivelyof ~ ABC. If AP = a em, AQ = b cm andL BAD = 15°, sin 75° =

(A) 2b.J3a

.J3a(C) 2b

a(B) 2b

2a(D) .J3 b

85. A point D is taken from the side BC of aright-angled triangle ABC, where AB is 90. Each interior angle of a regular octagon inhypotenuse. Then radians is

(A) AB2 + CD2 = BC2 + AD2(A) 1t . , (B) 31t-

(B) CD2 + BD2 = 2 AD2 4 4

(C) AB2 + AC2 = 2 AD2 (C) 21t (D) 1- -1t(D) AB2 = Ai:>2+ BD2 3 3

BW. 2013/Page 14 SPACE FOR ROUGH WORK / ~ q:;y<f ~ ~ ~

81. lfR'~, ~ ~ m AB 1R ~ ~ C ~ I 86. !J. ABC <fr ~~ AC "Om BC 1R DomE~AComABCXITB~c)~~~~ I .c) ~ ~ t ~ DE = 18 Wft,lfR' ~, AB CXITB~ ~ <fr ~ 1R ~ . CE = 5 Wft 3fn: L DEC = 90° ~ I dGj~R, ~

~ P ~ I dGj~R, ~ AP ~ ~ 1R. Q 1R tan L ABC = 3·6 m, m AC: CD ~ ~ ?~m, mf.n:;t~~~~?

(A) QC II PB

(B) QC,PB~~~~~

(C) QC ~ ! PB2

(D) Qd II PB om QC = ! PB. 2

82. ~ eqi610l ~ ~, c) ~~ Cf>T ~OI"1q;C1~ ~ (~ q;uf) ~ qrf Cf>T 311m ~ IdGjeR, ~ ~ ~ q;)ur ~ ~ ~ ?

(A) 60° (B) 30°

(C) 45° (D) 15°

83. ~ c) ~ <rffi <fr ~ 5 Wft om 3 Wft <fr

W, m~~~<fr~~<fr~~~,~~~q;lmq;«ft·~ ?

(A) 6 Wft (B) 7 Wft(C) 10 Wft (D) 8Wft

84. ~ qrf ABCD ~ ~, !J. BEC ~ ~

~~ 1~~CEomBD~01R~w,mLBOC~~~?

(A) 60°

(C) 90°

(B) 75°

(D) 120°

85. ~ eqch)ol ~ ABC qft ~ ~ BC 1R ~~ Dq;l ~ ~ t ~ AB.~ q;r q;uf~ I dGjeR, f.n:;t~ ~ ~ ~ ?(A) AB2 + CD2 = BC2 + A02

(B) CD2 + BD2 = 2 AD2

(C) AB2 + AC2 = 2 AD2

(D) AB2 = AD2 + BD2

(A) BC: 2 CE . (B) 2 CE: BC

(C) 2 BC: .CE (D) CE: 2 BC

87. ~~ ABc<fr ~ BC 1R D~~~t~ AD..LBC~ I ~ AD1R E~~~t ~ AE : ED = 5 : 1 ~ I d~R, ~L BAD = 30° 3fn:tan (L ACB) = 6 tan (L DBE) m, m L ACB

~~?

(A) 30°

(C) 60°

88. ~ sin e + cos e = .J2 cos em, m(cos e - sin e)Cf>T 11R ~ ~? i

(A) J3 cos e (B) J3 sin e(C) .J2 cos e (D) .J2 sin e

89. ~ eq~l§, ~ ABC Cf>T B 1R ~ q;)ureqch)ol ~ I ~ D, !J. ABC ~ ~ ~ ~~ I ~ ~ D ~ !J. ABC <fr ~~ rill om AC

1R~~~~~: Pom Q~ I dGjeR,.~ AP = a Wft, AQ = b Wft om.L BAD = 15° m, m sin 75° fcf;o;rr ~ ?

(A) 2bJ3a

a(B) 2b

J3 a 2a(C) 2b (D) J3 b

90. ~ Wl ~ Cf>T ~ ~ q;)ur ~

~ Cf>T WID ~ ?

(A) : (B) 31t

4

1(D) - 1t .

321t

(C) 3

BW. 2013/Page 15 SPACE FOR ROUGH WORK 1\9) cwf ~ ~ ~

91. If r sin e = 1, r cos e = ../3 , then the value of 97.

( ../3 tan e + 1) is

(A) ../3 (B) 1../3

(e) 1 (D) 2

92. In a frequency distribution, ogives aregraphical representation of(A) frequency(B) relative frequency(e) cumulative frequency(D) raw data

93. If x sin 45° = y cosec 30°, thenx44 is equaly

to

(A) 43 (B) 63

(e) 23 (D) 83

94. The angle of elevation of a tower from adistance 50 m from its foot is 30°. The heightof the tower is

(A) 50../3 m 50(B) ../3 m

(D) 75'../3m(C) 75../3 m

95. ABeD is a rectangle where the ratio of thelengths of AB and Be is 3 : 2. If P is themid-point of AB, then the value of sin L ePBis

(A) 35

(e) 34

(B) 25

(D) 45

96.sinA

1 + cos Asin A

is (00 < A < 90°)1- cos A+

(A) 2 cosec A(e) 2 sin A

(B) 2 secA(D) 2 cos A

The average Kharif production of the givenyears is

Production of pulses in Rabi and Kharif season(in million tonnes)

.Kharif DRabi

8 ---------------

7 ---------

6 ---

5 --

4 -3 -

2

1

o 1988_ 89 89 - 90 90 - 91 91 - 9? 92 - 93

(A) 4 million tonnes

(B) 5 million tonnes

(e) 4·5 million tonnes

(D) 5·5 million tonnes

Directions r- The annual agricultural production(in tonnes) of an Indian State is given in the piechart. The total production is 9000 tonnes. Read thepie chart and answer question no. 98.

(in tonnes)

98. What is the annual production of wheat ?

(A) 2750 tonnes

(e) 3540 tonnes

(B) 3000 tonnes

(D) 3500 tonnes

BW. 2013/Page 16 SPACE FOR ROUGH WORK / \9) CfiTCf ~ ~ ~

91. ~ r sin e = 1, r cos e =.J3 m, oT( .J3 tan e + 1) Cf)Tm;J rf<IT itTfT ?

(A) .J3

(C) 1

92. ~ ~1(~Rdl m -ij,~m~?(A) ~RGlRdl

(B) ~~ GlI(~Rdl

(C) ~ ~1(~Rdl

(D) ~~

(B) J:.....J3

CD) 2

~ ~ i?l@lRl~

X493. ~ x sin 45° = y cosec 30° m, oT 4 ~

y~itTfT ?

(A) 43 (B) 63

(C) 23 (D) 83

94. ~ lft;:m: Cf;T ~ ~ ~ (~) ~ 50 mv:~ ~ ~ citur 30° t I dGjftR, ~ lff.:m: cfiT

~~mrtt?

(B) 50 mv:.J375 .

(D) - mv:.J3

95. ABCD ~ ~ ~ t ~ ABmIT BCcfiT~~I~41 Cf)T ~ 3 : 2 t I ~ ~ P, ~AB Cf;T ~-~- m, oT sin L CPB Cf)T m;J rf<ITitTfT ?

(A) 3 (B) 25 5

(A) 50.J3 1f0:

(C) 75.J3 1f0:

(C) 34

96. (0° < A < 90°) cfiT ~-ijsin A + sin A fcf;o;rr itTfT ?

1+ cos A 1- cos A

(A) 2 cosec A

(C) 2 sin A

(D) 45

97. ~ ~ ~ -ij ~ cfiT ~ Cf)T ~ ~fcf;o;rr t ?

r4t 3ik &tfr:;; ~ 1/k:r1:rTff ~ CfiT~

(~ (7Rg c;ff ff)

.~ 000

8 ---------------

2

1

o 1988_ 89 89 - 90 90 - 91 91 - 92 92 - 93

(A) 40~R

(B) 50 ~R

(C) 45 ~R

(D) 55 ~R

'f.!IW': ffCfi ~ ~ ~ qrfifq; ~ ~ (C# ff)q;J ffCfi ~ ff ~ fWn rp;ff ~ I ~ F ~9000 CrT ~ I W ~ CfiT~ CIi(if; w-:r ~ 98CfiT~~1

(c;ff ff)

(B) 2 see A98. ~ Cf)T~ ~ fcf;o;rr t ?

(A) 2750 R (B) 3000 R(D) 2 cos A (C) 3540 R (D) 3500 R

BW. 2013/Page 17 SPACE FOR ROUGH WORK / ~ ~ ~ ~ ~

99. Given is a line graph showing the number ofaccidents in a city during the first 6 months FOR VISUALLY HANDICAPPED CANDIDATES ONLY

of 1999..

45 43 97. The average of four consecutive even numbers

40is .27. Find the largest of these numbers.

35(A) 24

30 (B) 26

25 (C) 30

20 (D) 28

15J F M A M J

98.The decrease % of accidents from May to Juneis

A man goes from A to B with a speed of6 kmlhr and comes back from B to A at3 kmlhr. His average speed, ~nkmlhr, is

(A) 4.!.2

(C) 3.!.2

(B) 4

(D) 3

Directions : Study the histogram of weight 99.distribution of different men and answer questionno. 100.

o~--+-__~ __~ __~ __~ __~85 95 105 115 125 135 145

150

300 --------------.-- ••

'""' 250~c:l 220I"l 200

"0

~

1--------- ••..•--t

100,...--- .••• -- ••

50

(Weight in kg)

100. Average number of men per interval whoparticipated in this survey is

(A) 200

(C) 214

If two typists can type two pages in fiveminutes, how many typists are needed to type20 pages in 10 minutes?

(A) 15

(B) 12

(C) 10

(D) 9

100. If the salary ofa worker is first decreased by15% and then increased by 5%, then the

.percentage effect on his salary is

(A) decrease of 10%

(R) increase of 10%

(C) decrease of 10·75%(B) 180

(D) 194 (D) increase of 10·75%

BW. 2013/Page 18 SPACE FOR ROUGH WORK / \9> <Wi ~ ~ ~

99. ~ ~ ~ 31Tffi:g~ ~ ~ ~ Cfff 1999 ~~ ~ ~ cfiT ~3TI q;) c;W;rr 11CIT ~ I

45 43

40

35

30

25

20

15L-L-~~-L--~--~~~J F M A M J

~, ~ -a "tl (fCf; ~3TI ~ fcno;ft ~ 98.Cf)lft ~ ~ ?

3(A) 158"%

(C) 15~%8

~: ~ :piT ~ 'J.TT( ~ ~ 31l<Rf- for:r CfiT 99.31'aRR m JIR ~ 100 CfiT ~ ~ I

300 -------------- •••••••

250 ----- ---------[ 220 ---------~ 200 ---------

<W 150

~ 100 ----op-••...•.•50

O~~ __ ~ __ ~~~~ __ ~85 95 105 115 125 135 145

100. ~ ~a:JUT -ij ~ ~ ~ m ~ ~ cfiT~ ~ fcno;ft ~ ?

(A) 200

(C) 214

(B) 180

(D) 194

97. ~ ~ WI ~3TI CfiT~ 27 ~ I ~~~~~-~~?

(A) 24

(B) 26

(C) 30

(D) 28

~ ocffin A -a B (fCf; 6 fcf;lft lei _ cfiT 1"ffif -a \ifRfT

~ 3fR B -a A crr:m 3 fcf;lft lei _ cfiT 1"ffif -a m\ifRfT ~ I dGj~1I(, ~ ~ .mr ~fcf;lft lei - ~ ? .

(A) 4!2

(C) 3! CD) 32

~ ~ ~ ~ ~ CfiT~ ~ fiRe: -ij ~~m, -aT 20~CfiT~ 10fiRe:~wr~

~~~~~?

(B) 4

(A) 15

(B) 12

(C) 10

(D) 9

100. ~ ~ Cfilff CfiT~ ~ 15% t:RJ Wn ~,d~q{id 5% ~ Wn ~, -aT ~ ~ -ij ~~CfiT~m~?

(A) 10% Cf;ll~

(B) 10%~~

(C) 10-75% Cf;ll~

(D) 10-75% ~ ~

BW. 2013/Page 19 SPACE FOR ROUGH WORK / ~ q:;r:f ~ ~ ~

MANNER IN WHICH ANSWERS ARE TO BE GIVEN

~ ~ cfft f€rfu-~:~~~~~~~~~

~ ~ ~ ~ ~ -rro: ~ I ~ Gm -ij 31ftICfiT

~~q;)'¥-IT~ ~~q;f~~~ ~~q;) ~. Cfit 3fu: 31ftICfiT~ -~ .q ~ 3iuslCfiR

~ A, B, C <ITD q;) ~~ ~-~ .q.;:r ~ "Cfi"R?fT

[.] CfiBl ~ I~ ~ -rro: 3GI~(ul ~ ~ W \ifl1'VIT fen ~ fcfiB" )lqm:~~~Iin lco.~ ~

Directions Each question or incompletestatement is followed by four alternative suggestedanswers or completions. In each case, you arerequired to select the one that correctly answers thequestion or completes the statement and blacken[.] appropriate oval A, B, C or D by BlackIBlueBall-point Pen against the question concerned inthe Answer-Sheet.The following example illustrates the mannerwhich the questions are required to be answered.

Example:Question No. 'Q' -

Out of the four words given below, three arealike in some way and one is different. Find the

DDword:(A) Girl(B) Boy(C) Woman(D) Chair

xplanation : In the above example, the correctanswer is 'Chair' and this answer has beensuggested at 'D'. Accordingly, the answer is to beindicated by blackening [.] the oval by Black/BlueBall-point Pen in column 'D' against Question No.'Q' in the manner indicated below:Question No. 'Q'

m ® © •There is only one correct answer to each question.You should blacken [.] the oval of the appropriatecolumn, viz., A, B, C or D. If you blacken [.] morethan one oval against anyone question, the answerwill be treated as wrong. If you wish to cancel anyanswer, you should completely erase that blackmark in the oval in the Answer-Sheet and thenblacken the oval of revised response.You are NOT required to mark your answers in thisBooklet. All answers must be indicated in theAnswer-Sheet only.

BW. 201 3/Page 20

. ,~~~. ~-~ ~ ~ ~ ~.q -aR ~ ~-~ ~ ~ ~~ 3ffi1T ~ q;f ~ I ~ .3«'f1T ~ Cf;J~ ~ :

(A) ~

(B) ~

(C) ~

(D) ~

Wt!JihtOl : ~ ~ 3GI~(UI .q ~ ~ '¢ ~3fu: ~~ 'D' -q mwrr TT<rr~' I 3«f: ~ B. 'cp{ ~ m"CfiR.1"tr 'D' ~ 3iuslCfiR ~ q;) ~~ ~-"t!fk ~ ~~ Cfifffi [.] ~ ~ ~ ~ fclfit ~ ~~\ifRT~ :

~~.'~m ® © •

~~q;f~~tt~~~ 131ftICfiT~"CfiR.1"tr ~ A, B, C <ITD ~ 3iuslCfiR ~ q;) Cfifffi

[.] CfiBl~ I ~ 31Ttf~~~m~~ ~3iuslCfiR ~ q;) ~ [.] <IT 3lTtICfiT ~ ~ l1RT\ifl1'VIT I ~ 31Ttf~ ~ q;) ~ CfiBl ~ ~ aT 3lItI"~-~ ~ ~ 3iuslCfiR ~ -B ~ f.tm;{ q;)

~ <m -« ilfGr ~ 3fu: (fijf ~ ~ ~ ~ ~

3iuslCfiR ~ q;) Cfifffi ~ ~ I

~ 3~CfiI ~ ~ ~ ~ ~ ;rtf ~ ~~~~~-~-qtt~ I

Bank/SSC/Govt. ExamsTest Prep

Paper -I Quantitative Abilities (334 NM 5)

1 C 26 C 51 A 76 C

2 B 27 A 52 C 77 B

3 C 28 C 53 A 78 D

4 D 29 D 54 C 79 D

5 D 30 A 55 A 80 A

6 B 31 C 56 D 81 A

7 D 32 B 57 D 82 C

8 B 33 D 58 D 83 D

9 C 34 B 59 B 84 B

10 C 35 C 60 B 85 A

11 B 36 C 61 A 86 A

12 C 37 C 62 D 87 C

13 C 38 B 63 C 88 D

14 A 39 B 64 C 89 C

15 A 40 C 65 A 90 B

16 D 41 D 66 A 91 D

17 B 42 A 67 D 92 C

18 B 43 B 68 A 93 A

19 C 44 C 69 B 94 B

20 A 45 B 70 A 95 D

21 B 46 A 71 C 96 A

22 B 47 A 72 A 97 A

23 C 48 D 73 D 98 A

24 C 49 A 74 C 99 C

25 B 50 C 75 C 100 C