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WWW. JAGRANJOSH. COM SSC COMBINED calib appraise LEVEL (MAIN) EXAMINATION 2012 QUESTION PAPER SSC unite alumnus direct (Main) test 2012 research Paper 1. (a) . . =? 9 44 27 44 (b) (c) 44 9 (d) 27 42 2. Complete the series 7, 26, 63, 124, 215, 342,? (a) 481 (b) 511 (c) 391 (d) 421 3. A wo realitykind mete outs to the archetypical customer half(prenominal) her stock of apples and half an apple, to the atomic subdue 16 customer half an apple and half of her be stock and so also to a third and to a fourth customer. She finds that she has now 15 apples left.How numerous had she at first? (a) 250 (b) 155 (c) 125 (d) 255 4. There atomic tot up 18 cc questions on a 3 hour interrogatory. Among 200 questions, 50 atomic chassis 18 from Maths, 100 ar in GK and 50 are in Science. He pass twice as much time on each mathematics question as for each other question. How many minutes did he spend on mathematics question? (a) 36 (b) 72 (c) 100 (D) 60 5. The reminder when (a) 2 (b) 3 919 + 6 is divided by 8 is (c) 5 (d) 7 6. The least five-digit double-dyed(a) square number which is divided be 3, 4, 5, 6 and 8 is a) 14400 (b) 32400 (c) 10800 (d) 10201 7. Which of the side by side(p) numbers does not fit into the series? 4, 19, 29, 40, 44, 51, 59, 73 (b) 51 (c) 44 (d) 29 (a) 59 8. What leave be the remainder when 19100 is divided be 20? (b) 20 (c) 3 (d) 1 (a) 19 9. A gip factory manufactured a batch of electronic toys. If the toys were chartered in boxes of 155 each, 13 boxes would not be filled stoply. If the toys were packed in boxes of 65 each, 22 such boxes would not be enough to pack all of them. Coincidentally, in the end, the toys were packed in n toys each, without any remainder. The measure number of toys was (a) 1424 (b) 1434 (c) 1444 (d) 1454 2 SSC Combined alumnus Level (Main) examination 2012 Question Paper 10.A and B started a bu hell on earthess with Rs 20000 and Rs 3 five hundred0 individually. They agreed to share the simoleons in t he balance of their capital. C joins the partnership with the condition that A, B, and C will share advantage equally and pays Rs 220000 as premium for this, to be shared out amidst A and B. This is to be divided between A and B in the balance of (a) 10 1 (b) 1 10 (c) 9 10 (d) 10 9 11. A net come a bunk in 20 daylights and B in 30 long time. A worked alone for 4 days and indeed B complete the remain work along with C in 18 days. In how many days hind end C working alone complete the work? (a) 12 (b) 68 (c) 72 (d) 90 12.A pipe can fill a cistern in 12 minutes and another(prenominal) pipe can fill it in 15 minutes, but a third pipe can empty it in 6 minutes. The first both pipes are kept open for 5 minutes in the beginning and and so the third pipe is also opened. Number of minutes obligaten to empty the cistern is (a) 38 (b) 22 (c) 42 (d) 45 13. A and B can complete a job in 24 days working together. An alone can complete it in 32 days. Both of them worked together fo r 8 days and then A left. The number of days b will take to complete the remaining job is (a) 16 (b) 32 (c) 64 (d) 128 14. In a factory, in that respect are equal number of women and children.Women work for 6 hours a day and children for 4 hours a day. During festival time, the work load goes up by 50%. The g everywherenment rule does not allow children to work for to a greater extent than than 6 hours a day. If they are equally efficient and the extra work is done by women, then extra hours of work put in by women every day are (a) 5 (b) 3 (c) 4 (d) 9 15. A and B each working alone can do a work in 15 days and 25 days respectively. They started the work together, but B left after most time and A finished the remaining work in 7 days. after how many days from the start did B leave? (a) 3 (b) 5 (c) 7 (d) 9 16.A and B undertaken to do a theatrical role of work for Rs 1200. A alone can do it in 8 days, while B can do it in 6 days. With the sustain of C, they complete it in 3 days. Find Cs share. (a) Rs 450 (b) Rs 300 (c) Rs one hundred fifty (d) Rs 100 17. By selling an article at 80% of its attach kicking, a trader makes a loss of 10%. What will be the hit destiny if he sells it at 95% if its marked set? (a) 6. 9 (b) 5 (c) 5. 9 (d) 12. 5 3 SSC Combined calibrate Level (Main) mental test 2012 Question Paper 18. By selling an umbrella for Rs 30, a market keeper gains 20%. During a clearance sale, the shopkeeper allows a rebate of 10% of the marked price.His gain percentage during the sale inure is (a) 7 (b) 7. 5 (c) 8 (d) 9 19. What is supreme percentage discount (approximately) that a merchant can offer on his marked price so that he ends up selling at no profit or loss, id he initially marked his goods up by 40%? (a) 60% (b) no discount (c) 33. 5% (d) 28. 5% 20. A shopkeeper marks the prices at 15% higher than the original price. Due to add-on in demand, he further amplify the price by 10%. How much percentage profit will he get? (a) 25 (b) 26. 5 (c) 20 (d) 24. 5 21. From a vessel containing100 litres of wine, 10 litres are drawn out and an equal centre of urine is added.From the mixture, 10 litres is once again drawn out and same quantity of water is added. What is the final proportionality of wine and water? (a) 80 20 (b) 90 10 (c) 91 9 (d) 81 19 22. From each of two given numbers, half the smaller number is subtracted. After such subtraction, the larger number is 4 clock as large as the smaller number. What is the dimension of the number? (a) 5 2 (b) 1 4 (c) 4 1 (d) 4 5 23. Men, women and children are employed to do a work in the proportion of 3 2 1 and their compensation as 5 3 2. When 90 men are employed, gist daily wages of all amounts to Rs 10350. Find the daily wage of a man. (a) Rs 45 (b) Rs 57. 0 (c) Rs 115 (d) Rs 75 24. Brothers A and B had some savings in the ratio 4 5. They decided to buy a largess for their sister, overlap the exist in the ratio 3 4. After they bought, A spent two-third of hi s amount while B is left with Rs 145. Then the abide by of the gift is (a) Rs 70 (b) Rs 105 (c) Rs 140 (d) Rs 175 25. The taxi charges in a city contain fixed charges and additional charge/km. The fixed charge is for a s suntandoffishness of upto 5 km and additional charge/km thereafter. The charge for a distance of 10 km is Rs 350 and for 25 km is Rs 800. The charge for a distance of 30 km is (a) Rs 800 (b) Rs 750 (c) Rs 900 (d) Rs 950 SSC Combined potassium alum Level (Main) Examination 2012 Question Paper 26. The marks of 3 students A, B and C are in the ratio 10 12 15. If the maximum marks of the piece are 100, then the marks of B cannot be in the range of (a) 20 30 (b) 40 50 (c) 70 80 (d) 80 90 27. The fairish of the test scores of a class of m student is 70 and that of n students is 91. When the scores of two the classes are combined, the average is 80. What is n/m? (a) 11/10 (b) 13/10 (c) 10/13 (d) 10/11 28. The average allowance per head of all workers of an insti tution is Rs 60. The average salary per head of 12 authorizationrs is Rs 400.The average salary per head of the rest is Rs 56. Then the total number of workers in the institution is (a) 1030 (b) 1032 (c) 1062 (d) 1060 29. A cricket played 80 innings and scored an average of 99 runs. His score in the last inning is zero run. To nurse an average of 100 at the end, his score in the last innings should ready been (a) 10 runs (b) 1 run (c) 60 runs (d) 80 runs 30. A man spends an average of Rs 1694. 70 per month for the first 7 months and Rs 1810. 50 per month for the next 5 months. His monthly salary if he saves Rs 3084. 60 during the safe and sound year is (a) Rs 2400 (b) Rs 3000 (c) Rs 1000 (d) Rs 2000 31.Three years ago, the average age of A, B and C was 27 years, and that of B and C five years ago was 20 years. As present age is (a) 30 years (b) 35 years (c) 40 years (d) 48 years 32. The average prime of the basketball team A is 5 feet 11 inches and that of B is 6 feet 2 inche s. There are 20 players in team A and 18 players in team B. The overall average rai blunderg is (a) 72. 42 inches (b) 72 inches (c) 70. 22 inches (d) 70 inches 33. A shopkeeper sells a electronic transistor at 15% above its cost price. If he had bought it at 5% more than what he paid for it and sold it for Rs 6 more, he would arrive gained 10%.The cost price of the transistor is (a) Rs 800 (b) Rs 1000 (c) Rs 1200 (d) Rs 1400 34. A vendor user 920 g in score of one kg to sell his articles at 15% gain on cost price, the actual percentage of profit is (a) 20 (b) 15 (c) 25 (d) 30 35. A man sold two houses for Rs 96000 each. In the sale of the first house, he incurred 20% profit and in the sale of the siemensond, he incurred 20% loss. What is the gain or loss percentage in total? 5 SSC Combined Graduate Level (Main) Examination 2012 Question Paper (a) 6% gain (b) 6% loss (c) 4% gain (d) 4% loss 36. The price of a land passing through triple hands, rises on the whole by 65%.If the f irst and second sellers earned 20% and 25% profit respectively. Find the profit earned by the third seller. (a) 20% (b) 55% (c) 10% (d) 25% 37. One year payment to the servant is Rs 500 plus one enclothe. The servant leaves after 10 months and receives Rs 350 and a shirt of the same place. What is the price of the shirt? (a) Rs 150 (b) Rs 350 (c) Rs 400 (d) Rs 500 38. A person purchased a certain(p) number of articles at 11 articles for Rs 10 and sold them at 10 articles for Rs 11. Find the gain percentage. (a) 22 (b) 20 (c) 1 (d) 21 39. Of the adult population in a certain city, 45% of men and 25% of women are married.Assuming that no man marries more than one women, and vice versa, the percentage of total population of adults who are married, is (a) 33. 33 (b) 35. 14 (c) 31. 1 (d) 30 40. A garrison is provided with ration for 72 soldiers to last for 54 days. Find how long would the same amount of fodder last for 90 soldiers. If the individual ration is reduced by 10%? (a) 48 da ys (b) 72 days (c) 54 days (d) 126 days 41. In an examination paper of five questions, 5% the candidates answered all of them and 5% answered none. Of the rest, 25% candidates answered only one question and 20% answered 4 questions and 20% answered 4 questions.If 396 candidates answered either 2 questions or 3 questions, the number of candidates that appeared for the examination was (a) 800 (b) 1000 (c) 850 (d) 900 42. In a test, A scored 10% more than B and scored 5% more C. If C scored 300 marks out of 400, then As marks are (a) 310 (b) 325 (c) 350 (d) 360 43. A train crosses a bridge of duration 150 m in 15 seconds and a man standing on it in 9 sec. The train is change of location at a uniform speed. Length of the train is (a) 225 m (b) 200 m (c) cxxxv m (d) 90 m 44. Arun and Bhaskar start from place P at 6 am and 7. 30am respectively and run in the same direction.Arun and Bhaskar run at 8 km/h and 12 km/h respectively. Bhaskar overtakes Arun at (a) 1030 am (b) 9 am (c) 1130 am (d) 11 am 6 SSC Combined Graduate Level (Main) Examination 2012 Question Paper 45. A man can row at 10 km/h in still water. If it takes a total of 5 hours for him to go to a place 24 km away and return, then the speed of the water current is (a) 2 km/h (b) 3 km/h (c) 2 km/h 1 (d) 1 km/h 46. A man started 20 min late and travelling at a speed of 1 times of his usual speed reaches his slur in time. The time taken by the man to reach his office at his speed is (a) 40 min (b) 1 h 20 min (c) 1 h (d) 30 min 7. Divided Rs 15494 between A and B so that As share at the end of years may be equal to Bs share at the end of 11 years, compound interest cosmos 20% per annum. Then As share is (a) Rs 8000 (b) Rs 9140 (c) Rs 9144 (d) Rs 9414 48. The principal amount which yields a compound interest of Rs 208 in the second year at 4% is (a) Rs 5000 (b) Rs ten thousand (c) Rs 13000 (d) Rs 6500 49. An amount is invested in a blank at compound rate of interest. The total amount, including interest, after first and third years is Rs 1200 and Rs 1587 respectively. What is the rate of interest? (a) 10% (b) 3. 9% (c) 12% (d) 15% 50.The end between compound and simple rates of interest on Rs 10000 for 3 years at 5% per annum is (a) Rs 76. 25 (b) Rs 76. 75 (c) Rs 76. 50 (d) Rs 76 51. A solid consist of circular cylinder with slender fitting remunerate circular cone placed on the top. The top of the cone is h. If total mess of the solid is three times the good deal of the cone, then the height of the circular cylinder is (a) 2 h (b) 2? 3 (c) 4 h (d) 3? 2 52. Water flows at a rate of 10 meters per in diameter. How long will it take to fill up a conical vessel whose diameter at the bandstand is 40 cm and depth is 24 cm? a) 51 min 12 sec (b) 52 min 1 sec (c) 48 min 15 sec (d) 55 min 53. The three perpendicular distances of three sides of an equilateral tri tend from a point which lies intragroup that trislant are 6 cm, 9 cm and 12 cm respectively. The perimeter of the triangle is (a) 42 2 cm (b) 45 3 cm (c) 52 2 cm (d) 54 3 cm 54. The res publica of a right-angled triangle is 24 cm2 and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse is 7 SSC Combined Graduate Level (Main) Examination 2012 Question Paper (a) 3. 6 cm (b) 4. 8 cm (c) 5. 2 cm (d) 12 cm 55. A cost of cultivating a square field at a rate of Rs 135 per hectare is Rs 1215.The cost of putting a fence around it at the rate of 75 paise per metre would be (a) Rs 360 (b) Rs 810 (c) Rs 900 (d) Rs 1800 56. The area of a trapezium is 384 cm2. If its tally sides are in ratio 3 5 and the perpendicular distance between them is 12 cm, the smaller of the parallel sides is (a) 20 cm (b) 24 cm (c) 30 cm (d) 36 cm 57. The perimeter of the angular base of a right prism is 60 cm and the sides of the base are in the ratio 5 12 13. Then its volume will be (height of the prism being 50 cm) (a) 6000 cm3 (b) 6600 cm3 (c) 5400 cm3 (d) 9600 cm3 58.If the aloofness of a rectangular parallelepiped is 3 times of its breadth and 5 times of its height and its volume is 14400 cu cm, then area of the total fall out will be (a) 2420 sq cm (b) 3320 sq cm (c) 4320 sq cm (d) 5320 sq cm 59. The capacities of two hemispherical bowls are 6. 4 litres and 21. 6 litres respectively. Then the ratio of their internal curved surface areas will be (a) 4 9 (b)2 3 (c) 2 3 (d) 16 81 60. Let A and B be two solid spheres such that the surface area of B is 300% higher than the surface area of A. The volume of A is found to be k% lower than the volume of B. The value of k must be (a) 85. (b) 92. 5 (c) 90. 5 (d) 87. 5 61. The ratio of the areas of the circum heap and the in roach of a square is (a) 2 1 (b) 1 2 (c) 2 1 (d) 1 2 62. From a circular sheet of paper of wheel spoke 10 cm, a sector of area 40% is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and the height of the cone is (a) 1 2 (b) 1 1 (c) 3 4 (d) 4 3 63. If the ar ea of the circular trounce having inner and outer radii of 8 cm and 12 cm respectively is equal to the total surface area of cylinder of radius R1 and height h, then h, in terms of R1 will be (a) 2 3 1 ? 30 7 (b) 2 1 ? 40 2 1 (c) 30 1 2 1 (d) 2 40 1 1 8 SSC Combined Graduate Level (Main) Examination 2012 Question Paper 64. A well of radius 3. 5 m is dug 16 m deep. The earth removed is spread over an area of 400 m2 to form a platform. Height of the platform is (a) 1. 54 m (b) 154 m (c) 7. 7 m (d) 77 m 65. The ratio of the number of sides of two regular polygons is 1 2. If each interior angle of the first polygon is 120o, then the measure of each interior angle of the second polygon is (a) 140o (b) 135o (c) 150o (d) 160o + 66. If x = (a) 0 , hen x2 x 1 is equal to (c) 2 (d) 5 + + + (b) 1 67. If x = , then the value of (a) 0 (b) 1 (c) + 3 is equal to (d) 68. The area of the region spring by y = ?x? 5 with the co-ordinate axes is (a) 25 sq units (b) 52 sq units (c ) 50 sq units (d) 20 sq units 69. The real value of x, that satisfies the equation (a) 5 (b) 2 3 (c) ? + + = 5 + is (d) 4 a = 225, b = 227. + 70. Find the value of a3 + b3 + c3- 3abc when (a) 2304 (b) 2430 (c) 2034 (d) 2340 71.Number of solution of the equation (a) 0 (b) 1 (c) 2 ? + + = ? 2 is (d) 4 + + ? 72. If + (a) 2 = 1, then the value of (c) 2 is (b) ? 2 (d) ? 2 73. If ? = a + b, (where a, b are rationals), value of (a + b) is (a) 2 (b) 2 (c) 1 (d) 1 74. 232 (2 + 1) (22 + 1)(24 + 1)(28 + 1)(216 + 1)) is equal to (a) 0 (b) 1 (c) 2 (d) 216 75. If the expression x + 809436 ? 809438 be a perfect square, then the value of x is (a) 0 (b) 1 (c) 809436 (d) 809438 76.If O is the orthocenter of the ? ABC and ? BAC =80o, then measure of ? BOC is (a) 80o (b) 100o (c) 120o (d) 90o 77. Two chords of a circle, of length 2a and 2b are mutually perpendicular. If the distance of the point, at which the chords intersect, from the centre of the circle is c (c radius o f the circle), then the radius of the circle is (a) a + b c 2 + 2 2 2 + 2 2 (b) 2 (c) 2 (d) 2 78. Two concentric circles having common centre O and chord AB of the outer circle intersect 9 SSC Combined Graduate Level (Main) Examination 2012 Question Paper he inner circle at points C and D. If distance of chord from the centre is 3 cm, outer radius is 13 cm and inner radius is 7 cm, then length of AC in cm is (a) 8 10 (b) 6 10 (c) 4 10 (d) 2 10 79. If PT is a tangent and AB is a chord of a circle and they intersect at the point P externally and PT = 2AP and AB = 18 units, then PT =? (a) 6 units (b) 9 units (c) 12 units (d) 15 units 80. In ? ABC, DE ? BC where DE intersects AB and AC at the points D and E respectively. If AD = 6 cm, DB = 12x 6 cm, and AE = 2x cm and CE = 16 2x cm, then the value of x is (a) 6 (b) 4 (c) 2 (d) 8 81.If the sides of a quadrilateral ABCD touch a circle and AB = 6 cm, CD = 5 cm, BC = 7 cm, then the length of AD in cm is (a) 4 (b) 6 (c) 8 (d) 9 82. AB is the diameter of a circle with centre O and P is a point on it. If ? POA = 120o, then the value of ? PBO is (a) 30o (b) 50o (c) 60o (d) 40o 83. From the circumcentre I of the triangle ABC, perpendicular ID is drawn on BC, if ? BAC = 60o, then the value ? BID is (a) 75o (b) 60o (c) 45o (d) 80o 84. PQ is a chord of length 6 cm of a circle of radius 5 cm. tangents to the circle at P and Q meet at T. length of TP is (a) 4. 75 cm (b) 2. 5 cm (c) 3. 75 cm (d) 4. 25 cm 85. O is the centre of a circle. AC and BD are two chords of the circle intersecting each other at P. If ? AOB = 15o and ? APB = 30o, then tan2 ? APB + cot2 ? mount is equal to (a) 3 1 (b) 3 2 (c) 3 4 (d) 10 3 86. ? ABC is a right- angled triangle, where ? ABC = 90o. If AC 2 and AB AC 2, then the value of cos2 A cos2 C is (a) 1 5 (b) 5 (c) 2 1 (d) 5 3 87. At the foot of a mountain, the elevation of its summit is 45 o. After ascending 2 km towards the mountain upon an incline of 30o, the elevation charges to 60o. Th e height of the mountain is (a) ( 3 ? ) km (b) ( 3 + 1) km (c) ( 3 ? 2) km (d) ( 3 + 2) km 10 SSC Combined Graduate Level (Main) Examination 2012 Question Paper 88. The maximum value of sin8 + cos14 , for all real value of is (a) 1 (b) 2 (c) 1 2 (d) 0 ( + ) 2 ?1 1 2 89. If cos2 (a) 2 1 + sin2 = (b) 2 1 , 0o 90o, then tan = (c) (d) 90. If sin(10o 6 32) = then the value of cos(79o 53 28) + tan(10o 6 32) is (a) (1+ 1 2 ) 1 2 (b) 1? 1 2 1 2 (c) 1 2 + 1 2 (d) 1 2 +1 1 2 91. If sin + cosec = 2, then the value of + is (a) 1 (b)1/2 (c) 2 92. tan tan tan (a) 1 2 (d) 0 tan ?sin2 = 1 (b) 2? 3 2 (c) 4 (d) 4 3 93. + = ? ? = , (a) 1 (b) 2 (c) 4 (d) 9 94. Number of integral values of x for which sin (a) 5 (b) 4 (c) 3 (d) 2 , where 0o ? 90o, is 95. If x = sin + cos and y = sec + cosec , find y in terms of x. (a) + (b) (c) (d) + Directions (Q. Nos. 6-100) The following pie chart show the details of 1500 employees working in a company in various scales and also the break-up of 800 male employees across the scales. Study the graphs and answer the question. 11 SSC Combined Graduate Level (Main) Examination 2012 Question Paper Break-up of 1500 employess across the scales sevensome 8% I 22% Break-up of 800 male employees across the scales VII 10% VI 14% V 12% IV 10% VI 9% V 12% IV 11% I 24% II 15% third 19% II 18% III 16% 96. How many females are working in scale V? (a) 180 (b) 144 (c) 96 (d) 84 97. The male-female ratio working in scale VII is () 1 2 (b) 2 1 (c) 2 3 (d) 3 2 98.The scale(s) in which the number of working females is the same are (a) I and VI (b) I and III (c) III and VI (d) only III 99. The number of scales in which the female workface is less than the average female workface working in any scale is (a) 5 (b) 2 (c) 3 (d) None of these 100. Had the total number of employees working in the company been 1600 (800 male, 800 female) and pie charts of break-up across the scales the same, the p ercentage increase or decrease of female workforce in scale VII is (a) 10% decrease (b) 15% increase (c) 20% decrease (d) 20% increase 12