# ssc combined graduate level tier ii exam solved paper 1-08-2010

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Solved Paper11. A General, while arranging his men, whowere 6000 in number, in the form of a square,found that there were 71 men left over. Howmany were arranged in each row?(a) 73 (b) 77(c) 87 (d) 932. A number, when divided successively by 4,5and6,leavesremaind ers2,3and 4respectively. The least such number is(a) 50 (b) 53(c) 19 (d) 2143. A number, when divided by 296, gives 75 asthe remainder. If the same number is dividedby 37 then the remainder will be(a) 1 (b) 2(c) 19 (d) 314. The square root of32(0.75)0.75 (0.75) 11 0.75

(a) 1 (b) 2(c) 3 (d) 45. The sum and product of two numbers are12and35respectively.Thesumoftheirreciprocals will be(a)13(b)15(c)1235(d)35126. If 2 22 21 1a ba b , then the value of a2 + b2will be(a) 1 (b)112(c) 2 (d)1227. If 21xx

( ) += 3, then331xx

( ) + is equal to(a) 3 (b) 2(c) 1 (d) 08.0.1 0.1 0.1 0.02 0.02 0.020.2 0.2 0.2 0.04 0.04 0.04

is equal to(a) 0.125 (b) 0.250(c) 0.500 (d) 0.8559. If 1xx= 2, then the value of 1001001xxis(a) 2 (b) 0(c) 1 (d) 210. If x3 + 3x2 + 3x = 7, then x is equal to(a) 2 (b)36(c) 1 (d) 111. If 22xx= 1, then the value of 331xxis(a)138(b)118(c)118(d)13812. Thegr eat est nu mber among3 5 75, 4, 2, 3 is(a)34(b)73(c)5(d)52SSCCombinedGr aduat eLevel Tier IIExamHeld on: 01.08.2010 Solved Paper213.2 2 3(13.608) (13.392)is equal to(a) 0.6 (b) 0.06(c) 1.8 (d) 2.614.1 1 1 1...1 2 2 3 3 4 99 100

is equalto:(a)19900(b)99100(c)10099(d)10009915. The sum of all the digits of the numbers from1 to 100 is(a) 5050 (b) 903(c) 901 (d) 90016. A shopkeeper sells suger in such a way thatthe selling price of 950g of sugar is the sameas the cost price of 1 kg of sugar. What is hisgain per cent?(a)5519(b)155(c) 5 (d)141917. A person bought a horse and a carriage forRs. 20000. Later, he sold the horse at 20%profit and the carriage at 10% loss. Thus, hegained 2% in the whole transaction. The costprice of the horse was(a) Rs. 7200 (b) Rs. 7500(c) Rs. 8000 (d) Rs. 900018. A sells an article to B at 15% profit. B sells itto C at 10% loss. If C pays Rs. 517.50 for itthen A purchased it at(a) Rs. 500 (b) Rs. 750(c) Rs. 1000 (d) Rs. 125019. An article is sold at a certai fixed price. Byselling it at 23of that price, one loses 10%.The gain per cent on selling it at the originalprice is(a) 20 (b)1333(c)2009(d) 4020. A sells an ariticle to B for Rs. 45,000 losing10% in the transaction. B sells it to C at aprice which would have given a profit of10% to A. By what per cent does B gain?(a)752(b)1003(c)2009(d)150721. Thecostpriceofanarticleis80%ofitsmarked price for sale. How much per centdoes thetradesman gainafter allowingadiscount of 12% ?(a) 20 (b) 12(c) 10 (d) 822. A merchant has announced 25% rebate onprices of ready-made garments at the timeof sale. If a purchase needs to have a rebateofRs.400,thenhowmanyshirts,eachcosting Rs. 320, should he purchase?(a) 10 (b) 7(c) 6 (d) 523. A merchant purchases a wristwatch for Rs.450 and fixes its list price in a such a waythatafterallowingadiscountof10%,heearns a profit of 20%. Then the list price (inrupees) of the wristwatch is(a) 500 (b) 600(c) 750 (d) 80024. A reduction of 10% in the price of tea enablesa dealer to purchase 25 kg more tea for Rs.22500. What is the reduced price per kg oftea?(a) Rs. 70 (b) Rs. 80(c) Rs. 90 (d) Rs. 10025. Ram donated 4% of his income to a charityand deposited 10% of the rest in a Bank. Ifnow he has Rs. 8640 left with him, then hisincome is(a) Rs. 12,500 (b) Rs. 12,000(c) Rs. 10,500 (d) Rs. 10,00026. If the length of a rectangle is increased by10% and its breadth is decreased by 10%,then its area(a) decreases by 1% (b) increases by 1%(c) decreases by 2%(d) remains unchanged Solved Paper327. Three spherical balls of radius 1 cm, 2 cmand3cmaremeltedt ofor masinglesphericalball.Intheprocess,thelossofmaterial is 25%. The radius of the new ballis(a) 6 cm (b) 5 cm(c) 3 cm (d) 2 cm28. If A : B = 2 : 3, B : C = 4 : 5 and C : D = 5 : 9, thenA : D is equal to(a) 11 : 17 (b) 8 : 27(c) 5 : 9 (d) 2 : 929. If the length of a rectangle is increased inthe ratio 6 : 7 and its breadth is diminishedint heratio5:4thenit sareawillbediminished in the ratio(a) 17 : 16 (b) 15 : 14(c) 9 : 8 (d) 8 : 730. 7 years ago, the ages (in years) of A and Bwere in the ratio 4 : 5; and 7 years hence theywill be in the ratio 5 : 6. The present age of Bis(a) 56 years (b) 63 years(c) 70 years (d) 77 years31. Twonu mber sar esu cht hat t heirdifference,their sum and their product arein the ratio of 1 : 7 : 24. The product of thenumbers is(a) 24 (b) 36(c) 48 (d) 6032. A, B, C are partners in a business. During aparticular year, A received one third of theprofit, B received one fourth of the profit andCreceivedtheremainingRs.5000.Howmuch amount of money did a receive ?(a) Rs. 1000 (b) Rs. 3000(c) Rs. 4000 (d) Rs. 500033. Three horses are tethered at 3 corners of atriangular plotof landhaving sides20m,30m and 40m each with a rope of length 7m.The area (in m2) of the region of this plot,whichcanbegrazed byt hehorses,is22Use7 ( ) +(a)773(b) 75 (c) 77 (d) 8034. A wire, when bent in the form of a square,encloses a region of area 121 cm2. If the samewire is bent into the form of a circle, then thearea of the circle is 22Use7 ( ) +(a) 150 cm2 (b) 152 cm2(c) 154 cm2 (d) 159 cm235. The ratio of the area of a sector of a circle tothe area of the circle is 1 : 4. If the area of thecircle is 154 cm2, the perimeter of the sectoris(a) 20 cm (b) 25 cm(c) 36 cm (d) 40 cm36. The length of the diagonal of a cube is 6 cm.The volume of the cube (in cm3) is(a)18 3(b)24 3(c)28 3(d)30 337. If a sphere of radius r is divided into fouridentical parts, then the total surface area ofthe four parts is(a) 4 r2 square unit (b) 2 r2 square unit(c) 8 r2 square unit (d) 3 r2 square unit38. A sum of money, deposited at some rate percentperannumofcompoundinterest,doubles itself in 4 years. In how many yearswill it become 16 times of itself at the samerate ?(a) 16 (b) 12(c) 10 (d) 839. What ist hed iffer encebet weent hecompound interest and simple interest onRs. 4000 at 5% per annum for 2 years ?(a) 10 (b) 11(c) 20 (d) 10040. The simpleand compoundinterests onasum of money for 2 year are Rs. 8400 andRs. 8652 respectively. The rate of interest perannum is(a) 6% (b) 7.5% (c) 9% (d) 4.5% Solved Paper441. A man can row against the current three-fourthofakilometrein15minutesandreturns the same distance in 10 minutes. Theratio of his speed to that of the current is(a) 3 : 5 (b) 5 : 3(c) 1 : 5 (d) 5 : 142. Two places A and B are 100 km apart on ahighway. One car starts from A and anotherfrom B at the same time. If the cars travel inthe same direction at a constant speed, theymeet in 5 hours. If the cars travel towardseach other, they meet in 1 hour. What is thespeed of the car running faster ?(a) 60 km/ hr. (b) 50 km/ hr.(c) 40 km/ hr. (d) 32 km/ hr.43. A can complete a piece of work in 12 days. Bis 60% more efficient than A. The number ofdays, that B will take to complete the samework, is(a) 6 (b)172(c) 8 (d)18244. Two pipes can fill an empty tank separatelyin 24 minutes and 40 minutes respectivelyandathirdpipe canempty30gallonsofwater per minute. If all the three pipes areopen, empty tank becomes full in one hour.The capacity of the tank (in gallons) is(a) 800 (b) 600(c) 500 (d) 40045. A batsman, in his 12th innings, makes a scoreof 63 runs and thereby increases his averagescore by 2. The average of his score after 12thinningsis(a) 41 (b) 42(c) 34 (d) 3546. The greatest number, that divides 43, 91 and183soastoleavethesameremainderineach case, is(a) 9 (b) 8(c) 4 (d) 347.716 6 7 16 6 7is equal to(a)12(b)13(c)14(d)1548. The sum of the areas of the 10 squares, thelengths of whose sides are 20 cm, 21 cm, ....29 cm respectively is(a) 6085 cm2(b) 8555 cm2(c) 2470 cm2(d) 11025 cm249. The square root of9.5 0.0085 18.90.0017 1.9 2.1 is(a) 15 (b) 45(c) 75 (d) 22550. If 123xx= 6, then 132xxis equal to(a) 4 (b) 8(c) 9 (d) 1251. Ifx= 122 1

t hent hevalu eof221xx

( ) +is(a) 2 (b)2 2(c)2 2(d)252.3 1 2 2 6 121 1 1 1 14 3 5 5 7 13

( ) ( ) ( ) ( ) ( ) + + + + +isequal to(a)213(b)17(c)16(d)1553.3 32 2(0.87) (0.13)(0.87) (0.13) (0.87) (0.13)

is equal to(a)12(b) 2 (c) 1 (d)12254. If x2 + y2 2x + 6y + 10 = 0, then the value of(x2 + y2) is(a) 4 (b) 6(c) 8 (d) 10 Solved Paper555. The largest among the numbers7 5, 5 3, 9 7, 11 9 is(a)7 5(b)5 3(c)9 7(d)11 956. If x1/ 3 + y1/ 3 = z1/ 3, then (x + y z)3 + 27 xyzis equal to(a) 0 (b) 1(c) 1 (d) 2757. If 7 7 7 7....= (343)y 1then y is equal to(a) 23(b) 1(c)43(d)3458. If a2 = 2, then (a + 1) is equal to(a) a 1 (b)21 a(c)13 2aa

(d)13 2aa

59. The missing term in the sequence 2, 3, 5, 7,11, ... 17, 19 is(a) 16 (b) 15(c) 14 (d) 1360. The wrong number in the sequence(a) 32 (b) 47(c) 63 (d) 8361. When the price of a toy was increased by20%, the number of toys sold was decreasedby 15%. What was its effect on the total salesof the shop?(a) 2% increase (b) 2% decrease(c) 4% increase (d) 4% decrease62. A person sold a horse at a gain of 15%. Hadhe bought it for 25% less and sold it for Rs.60 less, he would have made a profit of 32%.The cost price of the horse was(a) Rs. 370 (b) Rs. 372(c) Rs. 375 (d) Rs. 37863. A sells an article to B at a gain of 25% B sellsit to C at a gain of 20% and C sells it to D ata gain of 10%. If D pays Rs. 330 for it, howmuch did it cost to A ?(a) Rs. 200 (b) Rs. 250(c) Rs. 275 (d) Rs. 29064. By selling an article for Rs. 21, a man lostsuch that the percentage loss was equal tothe cost price. The cost priceof the article was(a) Rs. 30 or Rs. 70 (b) Rs. 35 or Rs. 60(c) Rs. 45 (d) Rs. 5065. Half of 100 articles were sold at a profit of20% and the rest at a profit of 40%. If all thearticles had been sold at a profit of 25%, thetotalprofitwouldhavebeenRs.100lessthanearlierprofit.The costpriceofeacharticle was(a) Rs. 10 (b) Rs. 15(c) Rs. 20 (d) Rs. 3066. The market price of a clock is Rs. 3200. It istobesoldatRs.2448attwosuccessivediscounts. If the first discount is 1

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