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LA 2012

Test Form No .

~~~010 MN 2

PAPE R - I (QUANTJ1,ATJVE ADfLITIESJ

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Till. Boolrlcl conlllhu I 00 qUCJtlOIU. In ql.l(:1t iOIU SCI bilingually In ~nsll•h and lllndl, In ti.IICI or dlJC~fliiJ'tty, the £nQIISh \'CJ"'lOn WI/I JlrC VI/1 3 . All q_uestloru on: ro mpulaory and co.ny equal m"U. 4 . . 'Tit1 papu carr/as n•gotll•t marUng tHn mnrk w/11 Itt dttlw:ttd fort:oclr 'K'NJnt aruwu 5. BC!ro~ you alut to •nnvcr lbt qu arlonf you mwl t11rck ur this llookld and cruurc th1t II coaleln a •II tht r•~o:c• (1-16) nd ·~ lhlf no r•ce l.r mlDIJI~ en' ttflulttl. Jr"you n od In)' derecl lo lhu Booklrl, you mUJI &t ill I"Cflllcet.llnrmedlaffly. 6 . Yod Wi ll be rvpplltd the Answer-Sheet ~ · ' pmtcly by the lnvf.l:llat.or. You muJI complete an~ code the ct.o.l li or Nunrt, Rofl Numbt.r, nctcl N umbu lind Tut Farm umber on Side-I of the Ann·cr-Sheet cun:fully You mug 1lso flU\ you r algnatul'll 11nd LcJi- H~~nd thumb lmpreulon on the Answcr· Sbccl 11 tho prescnbcd place before )'OU actually 11111 Dn&wcrlnc the questions. Thuc lns1ructl om mu.st be fu lly complied wllh, raJ lin g which, your Answer-Sheet wi ll not be eV1lluated und you will be I Wlll'dcd 'ZERO' mm. (VIt tandlthl u will ba ve 10 cnJUre thet lbcu dtltiiiJ lrt Oiled In by th e urlt.c. llown•er •II VII caodldatu murl flU I their lcO· hend thumb lm pnulon at lbr apuc provided In \h e Annnr·Sbcrl. Thoa~ VII aod lwtcs wbo cen •11:'1 •hould alto flUI lh~lr ·l ~nalore• Ia eddllloa to lbu mb lmrrualoo.) 7 . Am"-~ mw t be shown by completely blal'l cnJng the com:.sponding ovaiJ on Sidc-n of I he Answcr·ShcC1 on~lnSI the ~lc\·a.rrt question number b) Block!D iuc Ball-point Pen only AnNcB w htch we not 1hown by Black!Diuo Ooii·Polnl Pen will not be rwudcd any ma de 8 . A maclunc will n::ad lhc coded ln ronnat lon In the OMR Aruwcr-SheeL In cue the Information la lncom('lctc or diiTcrcnt from the information given In the appllcallon rorm, auch a.tld ida.tc will be aWJ.rded ' ze ro ' mark. 9. The A.Nwcr-Sh«t murt be handed over to the ln~lallator befo"' you lesve the E.Jwnin:llton JlaJI. 10. Fellun: IO comply "11ft In)' or lhc a!Ml vr lo l lrucllun• will nndtr • uadldel..l: ll.ablc lo auch 1ctlon/peoally a1 may bt decmtd nt. 11 . TI-.c manner In wh ich 1M diiTcrc:nt QUe111oru aro to bo onawcrc:d · hu been Pploincd al w bad : or 11111 Dooklct (P•co No. 16), .,.'fJ~:b you 1hould rud ca,.., rully be(o,.., ectua lly anaworln11 tho question• 12, Answa lhc quallonJ u qukkly tnd u t nroi\JIIy u you can Somo quc.l lolll ~My be dlfncull end olhert easy. Do not a ~o.J tQo much t im~ on 1111 qUt"Jt lon 13. In heu or Qw:alloru No 96 IO 100 relellnu lo nllunal port lont, altematc qUC1lLDI\S la ve been r rovldcd to ba llli:m ('l~d by VII nrod idau. only 14 . Norouct, work 1.1 11) bt dooc on lltt AnNrer-Shu l. Br ue for roueh work bu been Jlr!Whhd below Ihe quuii Onl. 1 6 . " M Qblle rh oncl 1nd wlrclflt ~ommunka tlo n •l•vlr u ert , r;ompletc ly banntcf In lbe anmlutl11n b•lh/ room\. Cndldaru Ire td\ t•~d nu l to k~ep mobile rhnne~Jaoy other ...lrd•u c;qmmuolcellon dn'lnl with th em tvln awltrhlng It nrr, In tb~lr own ln ttru l. Fallin a lo complr with thl..t pr11 vtt14 n wil l lit co nald•I"Cd u u•lnc unfair rnunt In lht rumlniiJnn 1 nd ullon wliiiJe t•kcn •c•ln11 Iham lnehullnc r.• o ~fll~ll oll of l~drundld•turt.''

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Complcto tho cries ·

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481

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(B) (D)

165 255

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14400 10800

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A nnd D can complete a job in 24 days working together. A alone can complete it in 32 days. Both of them worked together for 8 doys and then A left. The number of days B will lake to' complete the remaining job is (A ) 16 (B ) 32 '> · }1 '-'{C) 64 (D ) 128 ~

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A pipe ti!O fill ~ cistern in 12 minutes and 1 another p1pe cnn fill it in 15 minutes, but a third p1pe can empty it in 6 minutes. The first two pipes arc kept open for 5 minutes in the beguming o.od tbon the third pipe is also opened. Number of minutes taken to empty lhe cistern is ~ ~ .L. ') ~ 5 ( A) 38 (B) 22 (, 1,.. ~.> ( C ) 42 (D) 45 ~ '? ~

12.

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14.

ln o factory, tbero are equal number of women o.nd children. Women work for 6 hours a day and children for 4 hours n doy. During festival time, the work load goes up by 50 %. The govcrment rule does not nllow children to work for mbre than 6 hours o day. Lf they ore equally efficient and the extrn work is dono by women, then extra h ours of work put in by women every day

14, 19,29,40,44,61,59,73 G9 {B) 61 44 (D) 29

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A und 0 tttorLcd o bUBincu wtlb ~ 20,ooo nntl ( 3G,OOO rcopccllvely They agreed to s hore tho pcofH in tho rollo of theu copJtaJ C joins tho partnership WJLb tho comLtion that A, D and C will shnre profit equoiJy and poys ~ 2,20,000 o.s premJUm for th1s, to bo shored bet ween A and B. ThJs is to be divided between A o.nd B in the ra llo of

{C)

What will bo tho r omnindcr when 19 100 is d.Jvidcd oy 20 ?

(A)

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Which of the following numbers doee n ot fit into t.ho series 7 (A) (C)

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B complot.cd the romoi..ning work along with C in 18 d ays. In how many days can C ' working oJono com plete the work 7 . \ ~ (A) ~2 ffi> 68 ':f.'"~_ ~'~ "' r

The least five-digi t perfect square o.umbcr which is divisible by 3, 4, 5, 6, and 8 IS

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A co.n complo~ a w6rk in 20 days nnd B in 30 days. A worked alone for 4 days and then

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CC) D . 10

The remainder when 9 19 + 6 is divided by 8 is {A ) 2 3 (C )

• •A

(A )

There ore 200 questions on a c.xo.mmation. Among 200 questions, 50 ore from Moths, 100 oro m G.K and 50 oro in SCience. He spent twice os much time on each Malbemotics question a s for each other question. H ow many miriutes did he spend on Mathe.motics questions 7 (A) 36 (B) 72

W1 100

6.

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27

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A womOll so\ls to tho firsl customer half her &lock of opp1es ortd holf an appl e, to tho scrond cusLomcr hnlf 01\ apple and half of her remaining stock o.nd so o.l so to o third and to o fourth customer. She ftnd s that she - ho.s now -15 apples JelL How many had she at first ?

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7, 26, G3, 124, 216, 34 2,

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A Loy fo.ctory monufoctured n botch ~f eleclronic toys. lf the toys were pdocked b10 15. boxes of 115 eoch, 13 boxes woul1 noL o filled complotely. If tho toys wore pocltod In boxes of 65 each, 22 ~uch box<:_s ~c_:~u,ld not bo I enough to pack all of them Oo1n.CJaontolly, 10 the ond, the toys were pocke~ 1n n boxes oontol nlng n toys cnch, w1thout nny romolndor Tho tot.D.I number of toys wos
oro (A ) ( C)

(B) 5 4

(0 )

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A and B each working o.lone can. do n work ~ in 15 days and 25 days respectively. They sto.rtcd tho work together, but ~ left ~r ti ana A finls hea the remw.mng some me d s f: m work in 7 days. Mer how many ay ro th~tart did B lcnvo 1 ,.,\~:i ~

'fA) 3 (C)

(D)

5

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A 4.0ci 1:3 undl'rlnktl t o do n p1oco uf' work for 2-1. ~ 1,200 1\ td Oll f'l cnn ll!n It in M t.lo y~ , whllo B cnu do 1t 111 ll dnyft W1lh tho h elp of C , thoy comp l <:-t~ 1l111 3 days Fiod C's sho.rc. ~ t;\ ) 41)0 (D) t 300 t . c, . l ") t 150 ,ID) t 100 - t~~ ll.ang an article ot BO% of its marked price, n trader mnkes o loss of 10%. What will be the profit perccntog-c if he soils it ot 95% of 1ts marked price? 26. (B) 5 (Al 6·9 (C) 5·9 jB{ 12·5

By

B)' selling an umbrella fort 30, o shopk eeper gni.ns 20%. During a clearance snlc, the shopkeeper allows a discount·. of 10% of tho marked price. His gain · percent durin g the sale season is (A) 7 (B) 7·5

-~B

(D)

-9 -

What is the maximum percentage discount (approximately) that a me~hant cim oiTer on his mo.rked price so that he. ends up selling at no profit or loss , if be initinlly marked his goods up by 40% ? · (A) 60% (B) No discount (C) 33·5% (D) 28·5% 20.

21.

22.

A shopkeeper mo.rk.s the prices at 16% higher than the original price. Due to increase in demand, he further increases tho price by 10%. How much percen!Jlge profit will be get ? (A) 25 '-'(B) 26·5 (C) 20 (D) 24·5

26.

27.

(C)

~

140

(D)

~

175

Tho taxi charges in n city contain fixed cbo.rgcs and additional cbo.rgelkm. Tho fixed charge is for a distance of upto 5 km and additional cho.rgclkm thereafter. The charge for a distonco of 10 km is ~ 350 and for 25 km is t BOO. Th e charge for a distance of 30 km is · · (A) ~ BOO (B) t 750 (C) ~ 900 (D) ~ 950

-

The marks of 3 students A, B and C are in the ratio 10 : 12 : 15. If the mari~um marks of the paper are 100, then the marks of B canrtot be in the range of t 20 - so CB> -to - 50 (C) 70 - 80 OD> 80 - 90 The average of the ·test scores of a class of 'm' students is 70 and that of 'n' students is

91. Wbeo the scores of both the classes are combined, the average is 80. What is nJm ? (A) 11/10 (B) 13/ 10 (C) 10/13 OD) 10/11

From a vessel cont.ai.ning 100 l of wine, 10 l 28. are drown out and an equal amount of water is added. From the mixture, 10 l is again drawn out o.nd so..me quo..ntity of water is added. What is the fUlal ratio of wine and water ? (A) 80 : 20 (B) 90 : 10 (C) 91 : 9 (D) B1 : 19

The average snlary per bead of all workers of an ins titution is t 60. The average salary per head of 12 officers is t 400. The average snlary per b ead of the rest is t 56. The.n the total number of workers in tho institution is (A) 1030 (B) 1032 (C) 1062 (D) 1060

From each of two given numbers, bo.lf lhcho 29.

A cricketer playe d 80 innings and scored an average of 99 runB . His score in the last inning is zero run . To h ave an average of 100 at the end, his score in the last innings should have been (1}) 1ruo (A) 10 rune --<0) BO runs (C) 60 runs

smaller nnmbcr is subtroclcd. After su

eubt::raction tho larger number is 4 t imes as lo.rge o..s th~ amollcr number . Wha t is the ratio of tho numbers? -fA) 6 : 2 (D) 1 : 4 (C) 4 : 1 (D) 4 : 5

23.

Brolhore A ond B h od some eaviogs in Lbe ruli o t1 : 6. They dcc-1dcd t.o buy a gift for U1 clr ei11Lcr, sh oring the coal in the ratio 3 : 4. Aflcr they bougbt, A spent two-third of his amount whil e B Is left with t 146. Then Lbc value of the -.gift is (A ) ~ 70 {B) ~ 105

Men women and children arc employed to do 30. o wo'rk in U1e proportion of 3 : 2 : 1 o.nd their wogca Jlll 6 : 3 : 2. Wb~ n 90_mon o.re ~mployed, t.otal dally wages of oil amounts toT 10,350. find th e daily wage of o man. CA) t .c,u (B) t 67·50 CCJ f ll r> (0) ~ 76

A man spends an average of ~ 1,694·70 per month for tho first 7 months and ~ 1,B10 60 per month /qr _the n~ 6_ months . ~~s monthly enlery if he saves ~ 3,084·60 dunng the whole year is · {A) ~ 2,400 (B) t 3,000 (C) ~ 1,000 (D) ~ 2,000

SPACE roR ROUGH WORK

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1 ' " " tow nl 10 l~ tn ph In Ali ll wul~r. If 52. tl I n "t I' C\ l o l •l) llf Cl h 0 11 18 for h im t4J IJO lo 0

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1' ' "'' 4' ') I k.m uwny u nd r uturn, lh en the "TH'••d llf Iho wotA•t currout ie (8 ) 3 kmph 21 kmrh \1\) h I. I (~) (D) 1 kmpb 2 1\mp

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20

lrovolling oL o epcod of

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53. 2 u.sual spood r eaches hi s offi ce in tim e. The timo tnkcn by tho man to reach hie oflico a t hi s us ual speed is (A )

CC)

48.

4 9.

40 minutes 1 h ou r

(B )

1 hr 20 minutes

ff1) 30 minutes

Divid e " i6,494 bet ween A and B so- that A's ~4 . s h are nt tho end tof 9 years may be equal to t ~·a share at the ~nd of 11 year s , compound j m tcrcs t being 20% per annum . Tbeo A's sb nro is (13) ~ 9, 140 (A } ~ 8,000 (D) ~ 9 ,414 CC > ~ 9,14<4 5 5. T h e principal amount which yields a compound in ter est of ~ 208 in the second year o.t 4% is J. . (A ) ~ 6,000 (13} ~ 10,000 ~ , (D) ~ 6,500 ...... (C) ~ 13,000 66. An amount is invested in a bank a t compound r ate of interest . The total amount, including inter est, o.ftcr first and third year ls ~ 1,200 and ~ 1,587 r espectively . What is ~) ~...(~~ v the r ate of inlcr cs t ? . . 57. ~~ 3·9% (B ) ~) 10% 15% 12%

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v- 60.

Tho diO"cr cncc betw een compou nd and aimple r ate• of interest on ~ 10,000 for 3 years at 5% p.a . i• '-?I' 68. (B) t 76·76 CA) t 16 ·25 ~ ~ 76 ~ ) CD CC) t 76·60

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61.

A 1olid conaiats of o d rcula r cylinder with oxaci ntUng right cir cular cone placed on the Lop. Tho h olght of the cone i.s h. If total volume of tho solid is three tim es the volume ·of Lh cono, the n tho heigi1t of l ha cir cwriT- 59. cyllnd •r l1 2h (D) tAJ 2h

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~ ;1. o~ :. i ::.. ~ ·I ,.v, W~ U.1r n ows ul u rok of 10 m etres per ~t n ut.o from o cylind riCIJ.I pipe 6 mm in dia~olcr. How long will it take t.o £ill up a com col vessel whose dio.cnct.or nt the base is 40 em and depth is 24 em 7 ~. ..v ,~ (A) 5 1 mine 12 sees ~ .~ (B ) 52 mine l sec _t, \~ (C) 48 min s 15 sees mins (D ) 55

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'The t.b.ree perpendicu lar distances of three s ides of an equilateral triangle fro m a point which lies inside that triangle are 6 em , 9 em and 12 em respectively. The perimeter · of the triangle is (A)

42 .J2 em

{D)

(C)

62./2 em

(D) ·54 ./3 em

45 ../3 em

2 The area of a right-angled triangle is 24 em ana one of the aides t ontaining t he right angle is 6 em. The altitude on the hyp o t~ nu se is (B) 4·8 em (A) 3·6 em (D) 12 em (C) 5·2 em A cost of cultiva ting a square field at a· r ate of ~ 135 per h ectare is ~ 1,215 . The cost of putting a fence o.round it at the r ate of 75 paise per me tre would be (B) ~ 810 (A ) ~ 360 ~ 1,800 (D) CC) ~ 900 2 The oren of a trapezium is 384 cm . If its p arallel sides are in the r atio 3 : 5 and the perpendicu lar distance between them is 12 em, the sm aller of the parallel sides is . (B) 24 em (A ) 20 em (D) 36 em (C) 30 em The perimeter of the triangular base of a right prism ia 60 em and the sides of the base are in the r atio 6 : 12 : 13. Then its volume will be (height of the pris m being 60 em)

(A) (C )

6000 ems 6400 cm 3

(B) (D)

6600 ems 9600 ems

If the length of a r ectangular parallelepiped is 3 times of its brcodth and 6 times of its height and ils vol ume is 14400 cu.em, then a rea of · the Loull surface will be em sq. 3320 (B) (A) 2420 sq. em (D) 5320 sq. c.m (C ) 4320 sq. em

The capacities or two h emispheric al bowls are 6·4 lit.Tce and 21·6 litres r espectively . Then the ratio of their internal curved surface nr eas will be (B) 2 : 3 (A ) 1i : 9 (C)

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J3

(D)

16 : 81

SPACE FOR ROUGH WORK

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l A t\nd n bo lwo eolld &phOTOS s uch lbot t h(\ 1urfuco oroa of 13 le 300% higher than 67. t.h~ eurfa ce area of A. Tho volume of A Ia fl)und lo be Jd, lower tbllQ the volume of B .

If x

1 +x 1+

J1+X

The ' ' a luc of k mu al bo

61.

(Al

85·15

(B)

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90·5

(D)

92·5 87·6

The ratio of the areas of the circumcircle and ~ 68. the incirclo of a square is (A )

~ : 1


J2 : 1

(B)

..ra, =2

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0

{B )

1

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2 The arco of the region bounded by y "' I x 1- 6 wi th tho co-ordinate axes is (B) 52 sq. units (A ) 26 sq. units 20 sq. units (D) units (C) 50 sq.

1: 2 ~

Jf)> 1 : J2

62. · From a circular sheet of · paper of radius 69. Tho "'renl value of x, that satisfieS the 10 em, a sector of nrcn 40% iA r em oved. If + 9 = 6 + J7 is 9 + cquntion I ' the r emaining part is used to make a con.ico.l . (A) . J5 (B) 2./3 -eurface,· then the ratio -of the mdius and tho height of the cone is (D) 4 31 (C ) (B ) 1 : (~) 1 : 2 J ~· (0 ) 4 : <¢> 3 : 4 . 9 + b3 + c3 - 3abc when a of vnlue th~ Find 70. a = 225, b == 226, c = 227. 63. If the area of the circular shell having inner (B) 2430 2304 (A) and outer radii of 8 em and 12 em (D) 2340 (C) 2034 respectively is equal to the t.otnl surface area of·a cylinder of radius R 1 and height h , then 71. Number · of solutions of the eq·uation h. is terma .of R 1 will be = 2 - x 2 is ~x 2 - x + 1 + 1 2 1 \ x -x+1 R~ -40 3 R~- 30 -; (B) ~/ q_ 1 (A) (B) (A) 0 ..,..,..,y... ft.,,...o 7R1 ~ lro. (C) 2 (D) 4 "f'.. 2 40 x + x +a . o (D) (C ) lB 72. If x + - = 1, then the value of 2 3 Rt

J4x

J4x-

l

s

"

R? R?

"'

X

X

64.

(A )

A well of radius 3·6 m is dug 16 m deep. The earth removed is spread over an oren of m2 to form a platform. H eight of tho ply!orm is (B ) 154 m '-'f.() 1·64 m 73. m 77 ) (0 (C) 7·7 m

•oo

65.

J6

~ +1

If x •

, then

vo - 1

(~



0

1 6

\,./"'(c) 2 LA 2012/Pago 10

Xl- x- 1 is cqunl to

2

(D)

--

-X

~

'-'"-~ "(- .,.. '), ,

0

If J2s - s./3 = J3 a + b, (wbero a, b aro rationnls), vnluo of (a - b ) is (B ) (A ) - 2 (0 ) (C) 1 4 + 2 2 (2 1) + (2 1) + (2 23 is equal to (B) (A ) 0 (0 ) (C) 2

2 - 1 16 1) (28 + 1) (2 + 1)

1

216 Jf tho expression x + 809436 x 8?9438 bo a perfect squnro, the~ the vnlue_ofx 1!_ _

-

76 .

(B)

Q

The ratio of the num ber of sides of two regular polygons is 1 : 2. If each interior 74 . angie of the first polygon is 120", then tho m en.eure of each interior anglo of the second polygon is ( B ) 135" (A) 140• 75. (D) 160. (C) 150• 1 •

66.

(C)

- 2

a 2 2

(A)-

0 -

(B)

1

(0) 809438 (C) 809436 C and lf 0 is the orthocentrc of the A AB L BAC "" so• • then mcaeu.ro of L BO l B 100" so· (D) 90" (C) 120•

?

J5 +\

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77.

l'wl) thorJa of' n d tl'lt~, or ll•nntlut 2o und 2 b 86. nrr mull10lly papt•m ltculnr. If tho dtaloncc uf tho potnl, ot w h ich the• ch ords lntcreect, frum Uu! centro of lho cir-tlu is .c (c < rod ius u ( tlu:> circlc), tJtcn tho- radiu s of tho c~rclo ie lAl

n+ b- c

=

Jo 2 + b2 - c2

lD )

Two concootric circles hnvi.ng common centre '0 ' and chord AB of Lhc outer circle intersect the inner circle o l points C o.nd D . U d.i.stnnce of chord from tho centre is 3 em, outer radius is 13 em o.nd innar radius is 7 em , then lcnsth of AC in em is (A)

I

J

(C)

J1o 4 J1o 8

- (B) s JiO ~ (D)

2

87. I

JiO

J

I

79.

80.

If PT is a tangen t n.nd AB is o chord of a circle and th ey intersect ot the point P externally and PT = 2AP and AB = 18 units, then PT =? (A) S units (B) 9 units (C) 12 units (D ) 15 units 88.

In 6 ABC, DE II BC where DE intersects AB and AC at the points D and E r espectively . I f AD = S em, DB = 12x - S em, AE = 2x em and CE = 1S - 2x em, the n th e voJ ue of x is (A} (C)

81.

82.

S 2

~)

4

(C )

8

89.

(B) (D)

s

(A)

(C )

-21

{D)

76"

(B)

CD> so· ·

GO"

6

mouotnin is

J3 ( J3 -

(A)

(

(C)

km

(B)

2 ) km

(D)

1)

(./3 (./3

The maximum voJuc of sio 8 nll ren.l voJues of e is 1

.k2

If I cos

o·

a+m

J2

(D)

o cos

2

eio 9 =

jg-

(B)

jg

(C)

(D)

2

+1 ) k:m + 2)

a+

(B)

< 0 < 90". the n t n.n 8

(A )

If

2

km

COB }.t

a,

for

o( cosec 2 e+ 1) 2 • cosec a - 1

=

fEf fT=l

v~

sin (10" 6' 32") c: o , then the voJuc of (79" 63' 28'') + t.ru\ (10" S' 32" ) is

o(l+ P ) p

(A )

(B)

rm

(C)

PQ ia o ch ord of length G em of o ci.rclo of 91. r o.diUJI 6 em . To.ngoo ls to tho circle ot P and Q mc.oL nt T. Length of TP i11 CA) 4·7 5 em (B) 2·76 em {CJ 3·76 em CD) 4 ·26 em

3

A t the foot of o mouotnio, tho elevation of its summit is 46°. After n tKcnd ing 2 k.m towards tho mouotn.in upon no incline of 30°, the elevation cbonges to so·. The hejgbt of the

4 0"

45"

LA 2012/PGWJ 12

(D)

COB

From tho cir cum conlrc I of tho t rionglo ABC, pcrpendicula.r ID Ia dr own on BC. If L BAC "' 60", then the vo luc of L BID ia

cc>

1

J6

9

5o•

3

(A)

(C)

AB is the di.runetcr of o cir cle with centre 0 and P ia a point. oo it. If L P OA = 120" , then 00. the value of L P BO 1s

so•

84.

4 8

10

(D )

6 ABC is o ri ght-n.nglcd lnnn gla, wher e L ADC = 90". If AC "' 2 ../5 and AB - AC = 2, then tho voJuo of cos 2 A - cos 2 C ie

(A )

If the sides of a quadrilater a l ABCD touch a circle end AB "'S em , CD = 6 em, BC = 7 em , then the leogt.b of AD in em i s

so· 83.

(B ) (D)

3

4 3



2

(B )

3

86.

c

78.

1

(A)

2 (C)

0 Ia lhl' C'(•n lr,.. of o Clrdc AC a nd DO are lwo chorcJs of the Ctrclr. lnlcrarcbng c.och other at P If L 1\013 "' Jlj • ond L APB 30°, lhcn tun 2 L APD + cot.2 L CO D i~ ,..qual lcJ

oP+l ~1 - o 1 ·

=

If ai n 0 + cosec 0 2, tho vo.l uc of &in 7 e + cosec7 0 is (A )

(C)

1

tB)

1./2

2

(D)

0

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I '-

~'-'

,

~

1

92.

r;')

n

l nn - l:m A 1:.l IAI

fo~

n

~M

em

2

~"i~

---· \~

on

({))

93.

o/

(C)

95.

1 4

c

..

08.

2- -./3 2

3

09.

4

(B )

2

(D)

9

4x - 3 - - , w h e re 0° $

sin

e=

(A )

5

(B)

4

.{C)· 3

(D)

2 -

find

9

= sin 0

+ CO B 9 and J y in terms of x.

(A)

(B)

e~

'>-·

-/ov.... I) "A> - '.ll ..L Db • 'rbo Bco loA In whlch th e ou.mbcr of workin " t> fomol cs ·i s tho Raroc ore

jl

90°, is

(D)

(C)

FOR VISUALLY HANDICAPPED I I

I

~

= Bee 9 + COSCC 8, ~

96.

X

~- 1

The (A }

Brenk-up of 800 male employees· OS. across tho scales

99.

CfJ

H ow man y females nrc working in ecnJo ·V ? (.A) (CJ

9'7-

180 96

CANDIDATES ONLY

Hd~ of (~4, 5

24

x2 + 1

t•a rious scales and also the break-up of BOO m ale rmp loyee.s across the scales. S tudy the graphs and a.n.swer questions 96- 100.

96.

Jl() None of lhcse

3

JP{

DirectioTU : Tlu! following p ie cha rt shows the 97. cktails of 1500 employees working in a company in

.-0

I ond UJ cmJy DI

100. H ad the toLoJ number of employees working in th e company been 1600 (800 male , 800 female) o.od pie chnrt.s of break-up across the scales tho s ame, tho per centage increase or dccrooso of femolc w or kfor ce in ecole VII is (A ) 10% d ecrease (B) 16% increase (C) 20% decrease 20% increase

(C)

Break-up of 1600 employees across the sco.Ies

CBJ
The n umbe r of sc.O.Jcs in w hlch tho fe male workfor ce is les s thnn the over age female workforce working in any scale is (A) 6 (Bl 2

2x

(C)

I and VI lli nnd Vl

(A ) (C )

Number of integral valu es of x for whlch

lf X

' -"'

T'-'1

=

l f x s in 3 a + y cos3 a = s in a cos a
94.

q~,... 27

3n 2n - t un - ain 8 12 6

5 96

I'

16 25 8 • 12 ) is (B )

(D)

§ 4 5

384

If the rate of compound interest for the first, second and third year be 4%, 5% and 6% respectively, then the amount a man will receive o..ftcr 3 years, inves ting ~ 30,000, is (A ) ~ 32,525 ·76 (B) ~ 33,625·60 (C) ~ 35,225·50 (D) ~ 34,725·60 Coeffi cient of x3 in ( x - 1) (x + 2) (x - 3) (x + 4) is (B) 24 (A) 1 (D) 2 (C) 10

The mllTked price of a m otorcycle is ~ 251000. It ia available with 2 successive discounts of 20% o.nd 6%. Aj it buys it and spends ~ 1,000 on ita r c pn.ira a.od sells it for ~ 25,000. His gain % is (B) 31·6 (A ) 0 (D) 20 (C) 26

~( D ) 144 84

100. A man decided to make a 160 km trip, travclliiJg at 80 laplhr . On h~ ~~w::_n trip he -u-avelled at 48 lari/lir. Whot was the nvor nge Tht! mole-feniolc ratio wooo ng- in scale VII' is speed ? lA) 1 . 2 2 : 1 . (B) 64 kmlhr (A) 60 kmlhr
LA 2Q12/Pago 14

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~~,~w %i> ~

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