Solved Paper www.upscpor t al.com 11. 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 4,5 and 6, leaves remaind ers 2, 3 and 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 are12 and 35 respectively. The sum of theirreciprocals 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. The gr eat est nu mber among3 5 75, 4, 2, 3 is(a)34(b)73(c)5(d)52SSCCombined Gr aduat e Level Tier II ExamHeld on: 01.08.2010Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 213.2 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. The cost price of an article is 80% of itsmarked price for sale. How much per centdoes the tradesman gain after allowing adiscount 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 rebateof Rs. 400, then how many shirts, 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 waythat after allowing a discount of 10%, 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 unchangedDownloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 327. Three spherical balls of radius 1 cm, 2 cmand 3 cm are melted t o for m a singlespherical ball. In the process, the loss ofmaterial 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 diminishedin t he ratio 5 : 4 then it s area will bediminished 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. Two nu mber s ar e su ch t 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 andC received the remaining Rs. 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 plot of land having sides 20m,30m and 40m each with a rope of length 7m.The area (in m2) of the region of this plot,which can be grazed by t he horses, 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 percent per annum of compound interest,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 is t he d iffer ence bet ween t hecompound interest and simple interest onRs. 4000 at 5% per annum for 2 years ?(a) 10 (b) 11(c) 20 (d) 10040. The simple and compound interests on asum 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%Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 441. A man can row against the current three-fourth of a kilometre in 15 minutes andreturns 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 respectivelyand a third pipe can empty 30 gallons ofwater 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 12thinnings is(a) 41 (b) 42(c) 34 (d) 3546. The greatest number, that divides 43, 91 and183 so as to leave the same remainder ineach case, is(a) 9 (b) 8(c) 4 (d) 347.716 6 7 16 6 7 is 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. If x = 122 1

t hen t he valu e of221xx

( ) +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) 10Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 555. 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%, thetotal profit would have been Rs. 100 lessthan earlier profit. The cost price of eacharticle was(a) Rs. 10 (b) Rs. 15(c) Rs. 20 (d) Rs. 3066. The market price of a clock is Rs. 3200. It isto be sold at Rs. 2448 at two successivediscounts. If the first discount is 10%, thenthe second discount is(a) 5% (b) 10%(c) 15% (d) 20%67. A dealer marks his goods 30% above his costprice and then allows 15% discount on it.What is the cost price of an article on whichhe gains Rs. 84 ?(a) Rs. 800 (b) Rs. 560(c) Rs. 373.33 (d) Rs. 28068. A shopkeeper wishes to give 5% commissionon the marked price of an article but alsowants to earn a profit of 10%. If his cost priceis Rs. 95, then the marked price is(a) Rs. 100 (b) Rs. 110(c) Rs. 120 (d) Rs. 13069. Krishnamurthy earns Rs. 15000 per monthand spends 80% of it. Due to pay revision,his monthly income has increased by 20%,but due to price rise, he has to spend 20%more. His new savings are(a) Rs. 3400 (b) Rs. 3000(c) Rs. 4600 (d) Rs. 4000Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 670. Two numbers are respectively 112 %2and25% more than a third number. The firstnumber is how much per cent of the secondnumber ?(a) 90 (b) 87.5(c) 25 (d) 12.571. Pop ulat ion of a t own incr eases 2.5%annually but is decreased by 0.5% every yeard u e t o migr at ion. What will be t hepercentage of increase in 2 years?(a) 5 (b) 4.04(c) 4 (d) 3.9672. 72% of the students of a certain class tookBiology and 44% took Mathematics. If eachstudent took at least one of Biology orMathematics and 40 students tookboth ofthese subjects, the total number of studentsin the class is(a) 200 (b) 240(c) 250 (d) 32073. Rs. 1050 are divided among A, B and C insuch a way that the share of A is 25of thecombined share of B and C. A will get(a) Rs. 200 (b) Rs. 300(c) Rs. 320 (d) Rs. 42074. The sides of a right-angled triangle formingright angle are in the ratio 5 : 12. If the areaof the triangle is 270 cm2, then the length ofthe hypotenuse is(a) 39 cm (b) 42 cm(c) 45 cm (d) 51 cm75. Two numbers are in the ratio 5 : 6. If theirH.C.F is 4, then their L.C.M. will be(a) 90 (b) 96(c) 120 (d) 15076. If a + b + c = 1 and ab + bc + ca = 13then a : b :c is(a) 1 : 2 : 2 (b) 2 : 1 : 2(c) 1 : 1 : 1 (d) 1 : 2 : 177. A and B enter into partnership with capitalsin the ratio 5 : 6. At the end of 8 months Awithdraws his capital. They recived profitsin the ratio 5 : 9. Binvested the capital for(a) 6 months (b) 8 months(c) 10 months (d) 12 months78. What is the length of the radius of the circum-circle of the equilateral triangle, the lengthof whose side is 6 3cm ?(a)6 3cm (b) 6 cm(c) 5.4 cm (d)3 6cm79. If the measure of a diagonal and the area ofa r ect angle ar e 25 cm and 168 cm2respectively, what is the lengt h of t herectangle ?(a) 31 cm (b) 24 cm(c) 17 cm (d) 7 cm80. The number of coins, each of radius 0.75 cmand thickness 0.2 cm, to be melted to make aright circular cylinder of height 8 cm andradius 3 cm, is(a) 640 (b) 600 (c) 500 (d) 48081. If the radius of a sphere is increased by 2m,its surface-area is increased by 704 m2.What is the radius of the original sphere?22Use7 ( ) +(a) 16 m (b) 15 m (c) 14 m (d) 13 m82. A right circular cylinder is circumscribing ahemispher e such t hat t heir bases ar ecommon. The ratio of their volumes is(a) 1 : 3 (b) 1 : 2(c) 2 : 3 (d) 3 : 483. A man invested 13of his capital at 7%, 14at8% and the remaining at 10% rate of simpleinterest. If his annualincome from interestsis Rs. 561, the capital invested was(a) Rs. 6000 (b) Rs. 5600(c) Rs. 6600 (d) Rs. 7200Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 784. The compound interest on Rs. 6250 at 12%per annum for 1 year, compounded half-yearly is(a) Rs. 772.50 (b) Rs. 772(c) Rs. 672.50 (d) Rs. 67285. A sum of money lent at compound interestamounts to Rs. 1460 in 2 years and to Rs.1606 in 3 years.The rate of interest perannum is(a) 12% (b) 11%(c) 10.5% (d) 10%86. If A travels to his school from his house atthe speed of 3 km/ hr. then he reaches theschool 5 minutes late. If he travels at thespeed of 4 km/ hr, he reaches the school 5minut es ear lier t han school time. Thedistance of his school from his house is(a) 1 km (b) 2 km(c) 3 km (d) 4km87. A train travelling with a speed of 60 km/ hrcatches another train travelling in the samedirection and then leaves it 120 m behind in18 seconds. The speed of the second train is(a) 26 km/ hr (b) 35 km/ hr(c) 36 km/ hr (d) 63 km/ hr88. A and B together can complete a piece ofwork in 12 days and B and C together in 15days. If A is twice as good a workman as C,then in how many days will be alonecomplete the same work ?(a) 30 (b) 25(c) 24 (d) 2089. 4 men and 6 women together can completea work in 8 days while 3 men and 7 womentogether can complete it in 10 days. 20women working together will complete it in(a) 36 days (b) 32 days(c) 24 days (d) 20 days90. The average of two numbers A and B is 20,that of B and C is 19 and of C and A it is 21.What is the value of A?(a) 24 (b) 22(c) 20 (d) 18Directions (91-95): The pie chart given below, showsthe expenditure on various items and savings of afamily during the year 2009. Study the pie chartand answer these questions.PERCENTAGE OF MONEY SPENT ON VARIOUSITEMS AND SAVINGS BY A FAMILY DURING 2009Others20%Savings15%Food 23% Clothing10%Educationof Children12%Transport5%Housing10%91. If the total income of the family for the year2009 was Rs. 1,50,000 then the differencebetween the expenditures on housing andtransport was(a) Rs. 15,000 (b) Rs. 10,000(c) Rs. 12,000 (d) Rs. 7,50092. Maximum expenditure of the family otherthan on food, was on(a) Housing (b) Clothing(c) Others(d) Education of children93. The savings of the family for the year wereequal to the expenditure on(a) Food (b) Housing(c) Education of children(d) Clothing94. The percentage of the income which wasspent on clothing, education of children andtransport together is(a) 17 (b) 20(c) 22 (d) 2795. If the total income of the family was Rs.1,50,000 then the money spent on food was(a) Rs. 20,000 (b) Rs. 23,000(c) Rs. 30,000 (d) Rs. 34,500Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 8Directions (96-100): Study the bar diagram andanswer these questions.120010008006004002002009 2008 2007 2006300150200 2008009001200Number of personsPersons killed in industrial accidentPersons killed in coal mines96. The number of persons killed in coal minesin 2006 was what per cent of those killed inindustrial accidents in that year ?(a) 4 (b) 25(c) 36 (d) 30097. In which year, minimum number of personswere killed in industrial accidents and coalmines together?(a) 2006 (b) 2007(c) 2008 (d) 200998. In which year, maximum number of personswere killed in industrial accidents other thanthose killed in coal mines?(a) 2006 (b) 2007(c) 2008 (d) 200999. In which year s, minimum number ofpersons were killed in coal mines other thanthose killed in industrial accidents?(a) 2006 (b) 2007(c) 2008 (d) 2009100. In a year, on average, how many personswere killed in industrial accidents and coalmines together ?(a) 121.25 (b) 1212(c) 1212.5 (d) 1000ANSWERS1. (b) 2. (d) 3. (a) 4. (b) 5. (c)6. (c) 7. (d) 8. (a) 9. (a) 10. (c)11. (b) 12. (c) 13. (c) 14. (b) 15. (c)16. (a) 17. (c) 18. (a) 19. (c) 20. (c)21. (c) 22. (d) 23. (d) 24. (c) 25. (d)26. (a) 27. (c) 28. (d) 29. (d) 30. (d)31. (c) 32. (c) 33. (c) 34. (c) 35. (b)36. (d) 37. (c) 38. (a) 39. (a) 40. (a)41. (d) 42. (a) 43. (b) 44. (d) 45. (a)46. (c) 47. (a) 48. (a) 49. (a) 50. (c)51. (a) 52. (b) 53. (c) 54. (d) 55. (b)56. (a) 57. (c) 58. (d) 59. (d) 60. (b)61. (a) 62. (c) 63. (a) 64. (a) 65. (c)66. (c) 67. (a) 68. (b) 69. (*) 70. (a)71. (b) 72. (c) 73. (b) 74. (a) 75. (c)76. (c) 77. (d) 78. (b) 79. (b) 80. (a)81. (d) 82. (c) 83. (c) 84. (a) 85. (d)86. (d) 87. (c) 88. (d) 89. (d) 90. (d)91. (a) 92. (c) 93. (b) 94. (d) 95. (d)96. (b) 97. (d) 98. (a) 99. (b) 100. (c)EXPLANATIONS1. Number of men arranged in the form of asquare= 6000 71 = 5929 Number of men arranged in each row= 5929= 772. 4 x Remainder5 y 26 z 3 1 4z = 6 1 + 4 = 10y = 5 10 + 3 = 53x = 4 53 + 2 = 2144.32(0.75)[(0.75) 0.75 1 1]1 0.75

Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 9= 3 2 2(0.75) (1 0.75)[(0.75) 0.75 1 1 ]1 0.75

= 3 3 3(0.75) 1 (0.75)0.25 [(a b)(a2 + ab + b2) = a3 b3]= 11 0.75=10.25=10025= 4 Square root = 4= 25. x + y = 12 ...(i)xy = 35 ...(ii)

x yxy

= 1 1y x=12356.2 22 21 1a ba b = 4 2 22 21 1a ba b = 4 2 21 12 2 a ba b ( ) ( ) + += 4 2 21 1a ba b ( ) ( ) + += 0 1aa= 0, 1bb= 0 a = b = +1 a2 + b2 = 1 + 1 = 2.7.21xx

( ) + = 3 1xx= 3Now, 331xx= 31 1 13 . x x xx x x ( ) ( ) + += 33 3 3= 3 3 3 3= 08. If 0.1 = 1 then, 0.2 = 2aand 0.02 = b then, 0.04 = 2b Expression= 2 2 2 2 2 2a a a b b ba a a b b b =3 33 38 8a ba b

=3 33 38( )a ba b

=18= 0.12510. x3 + 3x2 + 3x = 7 x3 + 3x2 + 3x + 1 = 7 + 1 = 8 (x + 1)3 = 23 x + 1 = 2 x = 111.22xx= 1 1xx=12...(i)

331xx= 31 1 13. . x x xx x x ( ) ( ) + += 31 132 2 ( ) += 1 38 2=1 128

=11812. LCM of the orders of the surds = LCM of 2, 3,5 and 7 = 210125=1052105= 11052105Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 10134=702104= 1702104152=422102= 1422102173=302103= 1302103 The largest number= 125=513. Expression= 2 2 3(13.608) (13.392)= 3(13.608 13.392)(13.608 13.392) = 327 0.216= 327 2161000

= 3 610

=1.816. Profit per cent= True weight False weight100False weight

= 1000 950100950

= 10019=551917. If the GP of horse be Rs. x, thenCP of carriage = Rs. (20000 x) 120 90(20000 )100 100x x = 10220000100 120x + 1800000 90x= 204000 30x = 2040000 1800000= 240000 x = 24000030= Rs. 800018. If an article is old to B at x% profit/ loss andB sells the same to C at y% profit/ loss, thenCs C.P.= As CP100 100100 100y x

( ) ( ) + + As CP = Cs CP100 100100 15 100 10 ( ) ( ) + +

= 100 100517.50115 90

= Rs. 50019. Let the C.P. of the article be Rs. 100. S.P. of the article 23= 90 S.P. of the article= 90 32

= 135 Profit per cent at the original price = 3520. As C.P.= 1004500090= Rs. 50000 Bs S.P.= 11050000100= Rs. 55000 Bs profit per cent= 1000010045000 =200921. C.P. of the article = Rs. 100 Marked priceDownloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 11= 100 10080

= Rs. 125SP after the discount= 125 88Rs.100

( ) += Rs. 110 Gain per cent = 1023. If the marked price of the wrist watch be Rs.x, then90100x = 450 120100

= 540 x = 540 10090

= Rs. 60024. Let the original price of tea be Rs. x/ kgNew price = Rs. 9/ kg10x

( ) + 22500 22500910x x= 25 10 1225009x x

( ) += 25 10 9225009x

( ) += 25 22500 = 25 9x x = 2250025 9= 100 New price= 910010 = Rs. 90 per kg.25. Let Rams income = Rs. 100.Donation to charity = Rs. 4Amount deposited in bank= 96 10100

= Rs. 9.6Savings = 100 13.6 = Rs. 86.4Q Rs. 86.4 = 100 Rs. 8640 = 100864086.4 = Rs. 1000026. Effect on area= 10 1010 10 %100

( ) += 1%Here, nevative sign shows decrease.27. Volume of the new ball= 3 3 31 2 33 4( )4 3 r r r = (13+ 23 + 33)= (1 + 8 + 27)= 36p cubic cm. 343 r= 36 r3 = 36 34

= 27 r = 327= 3 cm30. 7 years ago, As age = 4x years and Bs age =5x years 4 145 14xx

=56 25x + 70 = 24x + 84 x = 84 70 = 14 Bs present age= 5x + 7 = 5 14 + 7 = 77 years32. Total profit 1 113 4 ( ) += 5000 Total profit 12 4 312

( ) += 5000 Total profitDownloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 12= 5000 125

= Rs. 12000 As share = Rs. 1120003

( ) += Rs. 400034. Side of the square= 121= 11 cm Length of the wire = 4 11= 44 cm 2 r = 44 2227 r = 44 r = 7 cm Area of circle = r2= 227 77 = 154 sq. cm.36. If the age edfe of the cube be x cm then,3x= 6 x = 63= 2 3 cm Volume of the cube = (edge)3= 2 3 2 3 2 3 = 24 3cm337. Required total surface area= 4 r2 + 4 r2= 8 r2 sq.unit39. Difference= Principal 2100r

( ) += 254000100

( ) += Rs. 1040. Difference = Rs. (8652 8400) = Rs. 252 Rate = 2 Difference100S.I.

= 2 2521008400

= 6%43. Ratio of their efficiency= 100 : 160 = 5 : 8 Ratio of time taken = 8 : 5 Time taken by B= 5128=152=172days44. Capacity of the tank = x gallons. Part of the tank filled in 1 minute= 3024 40x x 60 3024 40x x

( ) += x 24 40 60x x x = 30 5 3 2120x x x = 30 20x=30 x = 600 gallons45. Average of the batsman upto 11th innings= 63 12 2 = 39 Required average = 39 + 2 = 4146. Required number= HCF of (91 43), (183 91) and (183 43)= HCF of 48, 92 and 140 = 447. Expression= 716 6 7 16 6 7 = 79 7 2 3 7 9 7 2 3 7 =7(3 7) (3 7) Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 13= 73 7 3 7 =1248. Required sum = 202 + 212 + ... + 292= (12 + 22 + ... + 292) (12 + 22 + ... + 192)= 29(29 1)(2 29 1) 19(19 1)(2 19 1)6 6

2 2 2( 1)(2 1)1 2 ...6n n nn

Q= 8555 2470= 6085 sq.cm.49. Expression= 9.5 0.0085 18.90.0017 1.9 2.1 = 225 Required square root= 225= 1551. x = 122 1

x 2 = 2 1 x2 = 12 1=1 2 12 1 2 1

= 2 1 21x=2 1 221xx= 2 1 2 1 = 252. Expression= 3 4 5 3 13 14 3 3 5 7 13 =1753. If 0.87 = a and 0.13 = b then,Expression = 3 32 2a ba b ab

= 2 22 2( )( ) a b a b aba b ab = a + b = 0.87 + 0.13 = 154. x2 2x + y2 + 6y + 10 = 0 x2 2x + 1 + y2 + 6y + 9 = 0 (x 1)2 + (y + 3)2 = 0= x 1 = 0 x = 1and, y + 3 = 0 y = 3 x2 + y2 = 1 + 9 = 1055.7 5= 7 5 7 57 5

= 27 5Similarly,5 3=25 39 7=29 711 9= 211 9 Largest number = 5 3because its denominator is the smallest.56. 1 13 3x y=13zCubing both sides, we have,3 31 1 1 1 1 13 3 3 3 3 33. . x y x y x y ( ) ( ) ( ) + + + = z x + y + 3.1 1 13 3 33. . . x y x y z =z (x + y z) = 1 1 13 3 33. . . x y zDownloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 14Cubing again,(x + y z)3 = 27 xyz (x + y z)3 + 27 xyz = 057. Let x = 7 7 7 7....On squaring both sides,x2 = 7x3 x2 7x = 0 x(x 7) = 0 x = 7 7 = (73) y 1 = 73y 3 3y 3 = 1 3y = 4 y = 4358. a2 = 2 a = 2 a + 1 = 2 1From alternative (4)13 2aa

=2 13 2 2

= 2 1 3 2 23 2 2 3 2 2

= 3 2 3 4 2 29 8

= 1 259. It is sequence of first prime numbers.60. 8 + 5 = 1313 + 8 = 2121 + 11 = 3232 + 14 = 46 4746 + 17 = 6361. Effect on sale= 20 1520 15 %100

( ) += 2% increase62. If the CP of horse be Rs. xthen its SP = 115100 xNew CP = 3Rs.4 x

( ) + 11560100x

= 3 1324 100x =99100x

115 99100 100x x

= 60 16100x= 60 x = 60 10016

= Rs. 37563. As CP = 100 100 100330125 120 110 = Rs. 20064. If the CP of article be Rs. x, then21100xx

= x3 x2 100x + 2100 = 0 x2 70x 30x + 2100 = 0 x (x 70) 30 (x 70) = 0 (x 30) (x 70) = 0 x = Rs. 30 or Rs. 7065. Let the CP of each article be Rs. x. 5 120 50 140 100 125100 100 100x x x = 100 60x + 70x 125x = 100 5x = 100 x = 1005= Rs. 20Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 1567. CP of article = Rs. Marked price= 130100x= Rs. 1310x S.P.= 13 8510 100x

= Rs. 221200x 221200xx= 84 221200x= 84 x = 84 20021

=Rs. 80068. Marked price = Rs. . then95100x =95 110100

x = Rs. 110 1069. (*) Initial expenditure of Krishnamurthy= 8015000100= Rs. 12000New income= 15000 120100

= Rs. 18000New expenditure= 12000 120100

= Rs. 14400 New savings = 18000 14400= Rs. 3600Note: It is not an answer choice.70. First number= 251002=2252Second number = 125 Required percentage= 2251002 125

= 9071. Percentage of increase= 2 22 2 %100

( ) += 4.04%72. Percentage of students opting for bothsubjects= 72 + 44 100 = 16If the total number of students be x, then16100x = 40 x = 400016= 25073. A : B + C = 2 : 5 As share = 210507 = Rs. 30075. Numbers = 5x and 6xHCF = x = 4 LCM = 5 6 x= 5 6 4 = 12076. a + b + c = 1,ab + bc + ca = 13a2 + b2 + c2= (a + b + c)2 2 (ab + bc + ca)= 213= 13Clearly, a = b = c = 13 a : b : c = 1 : 1 : 177. If B invested for y months. then5 86 y

=59 y = 12 months.79. l2 + b2 = 625 ...(i)lb = 168 ...(ii)(l + b)2 = l2 + b2 + 2lb= 625 + 2 168 = 961Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paperwww.upscpor t al.com 16 l + b = 961= 31 ...(iii)(l + b)2 = l2 + b2 2lb= 625 168 2 = 289 l b = 289= 17 ...(iv)From equations (iii) and (iv),2l = 48 l = 482= 24 cm80. Volume of the cylinder = r2h= 32 8 = 72 cm3Volume of one coin= (0.75)2 0.2 Number of coins= 720.75 0.75 0.2

= 64081. 4 (r + 2)2 4 r2 = 704 (r + 2)2 r2 = 7044 r2 + 4r + 4 r2= 704 74 22

= 56 4r = 56 4 = 52 r = 13 metre82. Required ratio = Volume of hemi-sphere :Volume of cyliner= 323 r : r3 = 2 : 384. T = 2 half yearsRate = 6%= CI = 2P 1 1100r

( ) +

= 266250 1 1100

( ) +

= 6250 0.1236 = Rs. 772.585. 1460 = 2P 1100R

( ) +...(i)1606 = 3P 1100R

( ) +...(ii)Dividing equation (ii) by (i)1100R

= 16061460 R100=1606 14601460

= 1461460=11086. If the distance between the school and homebe x km, then3 4x x

=1060 12x=16 x = 1126 = 2 km87. 60 kmph = 60 5m/ sec18

( ) += 50m/ sec3If the speed of second train be x m/ sec, then503 x= 12018= 203 x = 50 203 3= 10 m/ sec= 10 18kmph5

( ) += 36 kmph89. 8 4m + 6w 8 10 3m + 7 10wDownloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in Solved Paper www.upscpor t al.com 17 2m 22w 1m 11w 4m + 6w = 50w M1D1 = M2D2 50 8 = 20 D2 D2 = 50 820

= 20 days90. A + B = 40B + C = 38C + A = 42On adding,2(A + B + C) = 40 + 38 + 42 = 120 A + B + C = 60 A = (A + B + C) (B + C)= 60 38 = 2291. Expenditure on housing and transport= 10150000100= Rs. 1500092. It is obvious from the pie chart.Food 23%, Others 20%93. Housing 15%Savings 15%94. Required percentage= 10 + 12 + 5= 27%95. Expenditure on food= 150000 23Rs.100

( ) += Rs. 3450096. Required percentage= 3001001200 = 2597. Number of persons killed in 2009= 800 + 200 = 100098. It is obvious from the bar diagram.Required number of the dead = 120099. It is obvious from the bar diagram.Required number of the dead = 150100. Required average= 1500 1050 1300 10004 = 48504= 1212.5Downloaded From: http://www.sscportal.inDownloaded From: http://www.sscportal.in