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Mathematics 1. Who is called as the father of Geometry? Ans) The father of Geometry is Euclid. 2. What is inevitable by an Isosceles triangle? Ans) The Isosceles triangle inevitable by a triangle with 2 equal faces and 2 equal viewpoints. 3. What is inevitable by obtuse triangle? Ans. The triangle with one internal angle greater than 90 degree. 4. What is inevitable by right-angled triangle? Ans) A triangle which has one 90 degrees internal angle. 5. What is the formula for calculate the area of a triangle? Ans) x length of base x height of triangle. 6. Which is the longest side in a right-angled triangle? Ans) Hypotenuse. 7. What is inevitable by a Scalene triangle? Ans) A triangle in which all sides have different lengths. 8. What is the side opposite to the right angle in a right angled triangle called? Ans Hypotenuse. 9. What is inevitable by Equilateral triangle? Ans) A triangle in which all sides are of equal length and all angles are equal. 10. What is inevitable by acute triangle? Ans) Triangle with all internal angles less than 90 degrees like an equilateral triangle. 11. What is inevitable by Angular Bisector of a triangle? Ans) Straight line through the vertex which cuts the corresponding angle into half. 12. What is Pythagorean Theorem? Ans) In any right-angled triangle, the square of length of hypotenuse is equal to the sum of squares of lengths of the other two sides. 13. What is inevitable by the Perpendicular Bisector of a triangle? Ans) Straight line passing through the midpoint of a side and being perpendicular to it. 14. What is the polygon with ten sides called? Ans) Decagon 15. Who is called the Father of Decimal number system? Ans) Indian Mathematician Aryabhatta. 16. What is a Rhombus? Ans) A polygon in which all sides are equal with not even one angle of 90 degrees but the sum of all angles is 360 degrees. 17. What is a polygon with five sides called? Ans Pentagon 18. What is a Quadrilateral? Ans) A polygon with four sides and four vertices's and the sum of all interior angles is equal to 360 degrees. 19. Surface area of a right circular cylinder of height 30 cm is 112 cm2. find the radius of the base. Ans) radius of the base = 0.5939 cm. 20. Find the sum of all integers, from 12 to 1572 inclusive, which are divisible by 12. Ans) 103752 21. The area of a rectangular box is equal to 150 square feats. Its Width is 15 feats. What is the length of the rectangle box? Ans) 10 feats 22. The list of six number averages is 40. From the list one number can be removing from the list; the average of remaining list of numbers is 28. Find the number that was removed from the list? Ans) The number removed from the list is 100. 23. Joseph passbook has total balance is 25000. The rate of interest is 6.5 percent for 6 months. Calculate the interest of the passbook at the end of the 6 months. Ans) Hence the acquired interest entry if 135.4 24. The list of ten number averages is 30. From the list one number can be removing from the list; the average of remaining list of numbers is 18. Find the number that was removed from the list? Ans) The number removed from the list is 138. 25. Joseph passbook has total balance is 18000. The interest is calculating at the rate of 7 percent compute the interest entry of the passbook at the end of the 2 years. Ans) The acquired interest entry 2520 26. Kaif earned a total of $10 by selling 10 cups of lemonade. How many cups of lemonade does kaif need to sell in all to earn $15?Assume the relationship is directly proportional. Ans) To earn $15, Lynn needs to sell 15 cups of lemonade in all. 27. There are 80 seats on a train. 10% of the seats are empty. How many empty seats are there on the train? Ans) There are 8 empty seats on the train. 28. The students in Noor's grade voted to select a guest speaker. 80% of the students voted for a famous athlete. If there are 95 students in Noor's grade, how many students voted for the athlete? Ans) 76 students voted for the famous athlete. 29. Rs. 53 is divided between A, B and C as A gets Rs. 7 more than B and B gets Rs. 8 more than C. What is the ratio of their shares? (a). 1: 9: 18 (b) 25:18:10 (c) 18:25:10 (d) 15: 30 30. Ratio of two numbers is 5: 9. After adding 9 in each number its average becomes 16 : 27 then what will be one number of the two? (a) 99 (b) 77 (c) 88 (d) 66 31. Kanti started a business investing Rs.9000. After five months Sudhakar joined in that business investing Rs.8000. If at the end of year they earn a profit of Rs. 6970, then what will be share of Sudhakar in profit? (a) Rs. 3690 (b) Rs. 1883.78 (c) Rs. 2380 (d) Rs. 3864 32. Rs. 700 is distributed between A, B and C as A gets half than B and B gets half than C, then what is share of C? (a) Rs. 600 (b) Rs. 400 (c) Rs. 300 (d) Rs. 200 33. A person gets 5% loss selling a watch n Rs. 1140. To earn 5% profit, at what price the watch should be sold? (a) Rs. 1311 (b) Rs. 1197 (c) Rs. 1254 (d) Rs. 1260 34. A person sells 320 mangoes at the cost of 400 mangoes. What is his percentage profit? (a) 10% (b) 15% (c) 20% (d) 25% 35. A seller prints on his objects 30% more than its cost price but gives 15% discount for cash payment. What is his percentage profit in cash selling? (a) 10.5% (b) 8.5% (c) 9% (d) 15% 36. A number when divided by 133 leaves the remainder 21. If the same number is divided by 19, the remainder will be— (a) l (b) 2 (c) 7 (d) 21 37. Simp1e interest on a certain amount is 9/16 of the principal amount. If number representing rate of interest in. per cent and time in years be equal, then time for which principal amount is lent out is— (a) 51/2 years (b) 6 1/2 years (c) 7 years (d) 7 1/2 years 38. An amount will double itself in 15 years at a certain simple interest. What is that rate of interest per annum? (a) 10 % (b) 61/4 % (c) 8 % (d) 16 % 39. In what time Rs. 8000 at 3% simple interest per annum will produce same earning as Rs. 6000 does in 5 years at 4% simple interest per annum? (a) 3 years (b) 4 years (c) 5 years (d) 6 years 40. ‘A’ and ‘B’ together can complete a work in 12 days. ‘A’ alone can complete it in 20 days. If ‘B’ now does the work only for half a day daily, then in how many days ‘A’and ‘B’ together will complete the work? (a) 15 days (b) 11 days (c) 20 days (d) 10 days 41. If 7 spiders makes 7 webs in 7 days, then I spider will make 1 web in how many days? (a) 1 day (b) 7 days (c) 49 days (d) 3.5 days 42. A tap can fill a tank in 25 minutes and another tap can empty it in 3 minutes. If both are opened together simultaneously the tank will be filled in— (a) 20 minutes (b) 30 minutes (c) 40 minutes (d) 50 minutes 43. Two men Ramesh and Suresh, invest. Rs.15000 and R.25000 respectively in business and at the end of year make a profit of Rs. 10000. They agree to reinvest 12% of their profit From the remainder each of them takes Rs.1000 and the rest is divided in the ratio of their original investment. Find Ramesh’s share? (a) Rs. 3300 (b) Rs. 3300 (c) Rs. 2925 (d) Rs. 2550 44. A well is dug 20 ft. deep and the mud is used to build a wall of thickness 1 ft. around the well. If the height of the wall is 5 ft. then what is the radius of the well in feet? (a) √ 7 + 2 /3 (b) √ 5 (c) √3 + 2 /5 (d) √5 + 1 /4 45. A hemispherical bowl of radius r is filled full with a liquid. This liquid is poured into a conical vessel whose height and radius of base each is equal to r. How many such vessels will V be required to completely. empty the hemispherical bowl? (a) 1 (b) 2 (c) 3 (d) 4 46. A two digit number is four times the sum and three times the product of its digits. The difference between tenth and unit place digits is- (a) 2 (b) -2 (c) – l (d) 1 47. If α, β be the roots of x2- p x +q = 0, then α 2+ β 2 is— (a) p2+2q (b) p2+2pq (c) p2—2q (d) p2—4q 48. In a college there are 40 students in each of the Mathematics, Physics and Chemistry main groups. Eight students from these groups study all the three subjects. There are two students more in the Mathematics-Physics combination than in the Mathematics-Chemistry combination and 5 students more in the Physics- Chemistry combination than in the Mathematics- Chemistry combination. 15 students study only Chemistry. How many students study only Mathematics? (a) 18 (b) 15 (c) 13 (d) 16 49. I start with 24. Which of the following sequential operations will NOT lead me to 48? (a) +15—8 + 3—9—2 + 5 + 20 (b) + 16—7 + 10—6—4 + 12 + 3 (c) + 12 + 7—10—6 + 14—8 + 16 (d) +14—6+8—10+5—4+17 50. If ABC = 225, which of the following cannot be the value of C? (a) 3 (b) 5 (c) Zero (d) 15 51. In a triangle ABC, sides AB and BC are equal. Also < B = 100°, Find < A. (a) 40° (b) 50° (c) 60° (d) 70° 52. Sum of two numbers is 4000; 10% of one number is 20/3 % of the other. The difference of the numbers is— (a) 600 (b) 800 (c) 1025 (d) 1175 53. 2/5 is expressed as a percentage of 20/7 the percentage is— (a) 14% (c) 7% (b) 15% (d) 21% 54. What is the overall trend of unemployment from 1960 to 1990? (a) Increasing (b) Decreasing (c) Sometimes increasing, sometimes decreasing (d) Neither increasing nor decreasing 55. The higher percentage of unemployment from 1960 to 1990 was at the level of (a) Primary education (b) Secondary education (c) Higher education (d) None of these 56. The ratio among total unemployment figures from 1960 to 1990 for all the three levels, i.e., primary, secondary and higher is (a) 15:10:8 (b) 5:3:2 (c) 8:10:15 (d) 2:3:5 57. Which combination of crops occupies more area than the combination of all other crops? (a) Sugarcane and Ragi (b) Rice and Wheat (c) Cotton, Wheat and Ragi (d) Sugarcane, Cotton and Ragi 58. Which of the following is true about the areas under cultivation? (a) Rice + Ragi = Wheat (b) Sugarcane> Rice and Ragi (c) Cotton and Ragi = Rice (d) Rice, Ragi and Cotton <Wheat 59. In which day and in which subject the maximum number of applications were received? (a) Tuesday Economics (b) Friday in both subject (c) Wednesday History (d) Thursday in both Subjects 60. Between which days, the increase in the number of applications received in both the subjects put together, is the least? (a) Monday and Tuesday (b) Tuesday and Wednesday (c) Wednesday and Thursday (d) Thursday and Friday 61. If the third Saturday of a month is 17th, What date is the fourth Wednesday of that month? (a) 22 (b) 28 (c) 24 (d) 21 62. There are 60 players in a college of whom 9 play football, hockey and cricket. Ten play only one game either cricket, hockey or football. There are two more players in the cricket hockey group than in cricket football group and four more in the football hockey group than in cricket football group. Seven play cricket and hockey. How many play foot ball? (a) 10 (b) 35 (c) 33 (d) 32 63. If f (x) = x + 5 and g(x) = 2x-+4, then f [g(x)] —g [f(x)] for any value of x will be— (a) X—3 (b) X—7 (c) —5 (d) None of these 64. The average weight of a group of ten people increases by 1 kg when one of them weighing 58 kg is replaced by a new person. The weight of new person is— (a) 62 kg. (b) 68 kg. (c) 66 kg. (d) 65 kg. 65. Raju goes to Nasik to buy an article costing 15% less than that in Mumbai. He spends Rs.150 on travelling and gains Rs.150 after its sale in Mumbai. His % profit is— (a) 8% (b) 7.5% (c) 7% (d) 6% 66. Two men together start a journey in the same direction. They travel 9 and 15 kms/day respectively. After travelling for 6 days the man travelling 9 kms/day doubles his speed and both of them finish the distance in the same time. Find the number of days taken by them to reach the destination. (a) 36 (b) 21 (c) 18 (d) 12 67. A monkey climbs up a greased pole ascends 20 m and slips 4 m in alternative minutes. If the pole is 96 m high, how many minutes will it take to reach the top? (a) 10 4/5 (b) 12 (c) 11 (d) 6 68. A certain number of horses and an equal number of men are going somewhere. Half the owner’s are on their horses back while the remaining ones are walking along leading their horses. If the number of legs walking on the ground is 70, how many horses are there? (a) 10 (b) 14 (c) 12 (d) 16 69. How many square meters of a cloth will be required for a 4 n high pyramidical tent to be raised on a square shaped area with one side equal to 6 m? (a) 30 m2 (b) 60 m2 (c) 120 m2 (d) 200 m2 70. How much water will flow off a pipe of 1.5 cm radius in one hour, if the speed of water is 3 km/hr? (a) 20/10π m3 (b) 27/40 π m3 (c) 3/40 π m3 (d) 40/3 πm3 71. In a triangle two sides of 12 cm and 5 cm are at right angles. If the-triangle is revolved along the 12 cm side, the curved surface of the cone so formed will be— (a) 156π cm2 (b) 78 π cm2 (c) 65 π cm2 (d) 130 πcm2 72. If the roots of x2— nx + 54, = 0 bear a ratio of 2: 3, the value of ‘n’ will be— (a) 12 (b) 15 (c) 18 (d) 21 73. A class comprises 60 students. 35 students out of them study mathematics, 20 students study mathematics and chemistry both. The number of students studying only chemistry will be— (a) 40 (b) 35 (c) 45 (d) 15 74. A and B are two sets having respectively 5 and 8 elements. The number of A U B may be (a) at the most 8 (b) at the most 5 (c) at the most 13 (d) at least 13 75. The volume of a sphere is 4851 cm3. Its surface area is— (a) 1286 cm2 (b) 1386 cm2 (c) 1486 cm2 (d) None of these 76. 2 x 0.003 x 0.004 x 0.005 =? (a) 0.000000012 (b) .000000 12 (c) 0.000012 (d) 0.00012 77. Evaluate √900 + √0.09 + √0. 000009 (a) 303.03 (b) 3030.3 (c) 3.0303 (d) 30.303 78. The shadow of a vertical tower on level ground increases by 10 meters, when the altitude of the sun changes from 60° to 45°. Find the height of the tower— (a) 15m (b) 15 √3 m (c) 15 + 5√3 m (d) 15 – 5 m √3 m 79. Two stations A and B are 100 km apart. A train starts from A to B at the speed of 20 kmph at 10 a.m. Another train starts from B to A.at .10 a.m on the same day at 30 kmph. When will they meet? (a)l pm (b) 2pm (c)11 am (d)12 noon. 80. The average marks of 120 students in an examination is 35..If the average marks of passed students be and that of failed students be 15 then what is the number of successful students? (a) 100 (b) 120 (c) 110 (d)150 80. How many students are there in a class if after filling 4 rows of seats 2 students remain standing and If 3 rows are filled, 9 students remain standing? (a)7 (b)26 (c)30 (d)34 (5)36 81. The cost of 6 knives and 6 spears is Rs. 300 but the cost of 3 spears and 9 knives is Rs. 270. What will be the cost of one dozen knives? (a) Rs. 80 (b) Rs. 210 (c) Rs. 220 (d) None of these 82. 5/12 of which sum will be equal to 3(3/4)of Rs. 100? (a) Rs. 750 (b) Rs. 800 (c) Rs. 1000 (d) Rs. 900 83. In a row of 16 children, when Anil is shifted two places from left, then he is at 7th place from the left. What was his origin position in the row from the right end? (a)7th (b) 8th (c)9th (d)10th 84. A fruit seller sells mangoes at Rs. 9 per kg and thereby loses 20%. At what price he should have sold them to make a profit of 5%? (a) Rs.11.81 (c) Rs.15 (b) Rs.12.31 (d) Rs.16 85. The mean proportion of 0.02 and 0.32 is— (a) 0.34 (b) 0.3 (c) 0.16 (d) 0.08 86. A train covers a distance of 180 km in 4 hours. Another train covers the same distance in one hour less. What is the difference in the distances covered by these two trains in one hour? (a) 45 km (b) 40 km (c) 15 km (d) 9 km 87. √86.49+√5+K2 =12.3 (a) √10 (b) 2√5 (c) 3√5 (d) None of these 88. The average age of Ashok and Pradeep is 4: 3. After six years Ashok’s age will be 26 years. What is age of Pradeep at present time? (a) 12 years (b) 15 years (c) 19 ½ years (d) 21 years 89. How many cubes of 10 cm. side can be put in a cubic box of 1 m side? (a) 10 (b) 100 (c) 1000 (d) 10000 90. ‘A’ can run a kilometer in 4 minutes 54 seconds and ‘B’ can run same distance in 5 minutes. How many meters ahead of ‘A’ should ‘B’ stand at the start of a kilometer race so that both reach the finishing point together? (a) 20 meters (b) 16 meters (c) 18 meters (d) 14.5 meters 91. A man .has some hens and tows. If the number of heads be 48 and number of feet equals 140, the number of hens will be— (a) 22 (b) 23 (c) 24 (d) 26 92. By selling 12 oranges for a rupee, a man loses 20%. How many for a rupee should he sell to get a gain of 20%? (a) 5 (b) 8 (c) 10 (d) 15 93. How many times a day, are the hands of a clock in straight line but opposite in direction? (a) 24 (b) 20 (c) 22 (d) 48 94. Find the value of 1 /2+1/2 ÷1/2? (a) 2 (b) ½ (c) ¾ (d) 3/2 95. Which mathematical operation should come at the place of ‘? ‘in the following— 2? 6 -12 ÷ 4 +2 =11 (a) + (b) – (c) x (d) ÷ 96. Which number will come in place of question mark (?) in the following equation—? ?/54 = 96/? (a) 72 (b) 27 (c) 36 (d) 63 97. Which is the smallest number from the following which gives remainder ‘2’ every time when divided by 6, 7, 8, 9 and 12? a) 756 (b) 504 (c) 754 (d) 506 98. Which of the following fractions is the smallest? (a) 11/13 (b) 9/11 (c) ¾ (d) 5/7 99. In an examination, a student was told to find (3/14) th of a given number. By mistake he found (3/4) of that. The real answer was more than 150. The given number is— (a) 180 (b) 240 (c) 280 (d) 290 100. Value of √0.9 is- (a) 0.3 (b) 0.94 (c) 0.03 (d) 0.33 101. The price of an object is reduced by 10%. To bring it on real price, what percentage will be increased in its new price? (a) 10 % (b) 9 1/11 % (c) 11 1/9 % (d) 11 % 102. What per cent of a day is 3 hours? (a) 12 ½ % (b) 25 % (c) 80 % (d) 100 /3 % 103. In an examination, 65% students passed in Civics, and 60% in History. 40% passed in both subjects. If 90 students failed in History and Civics both, what is the total number of students? (a) 150 (b) 250 (c) 100 (d) 125 104. A mixture of water and milk is 40 liters. There is 10% water in it. How much water shou1d now be added in this mixture so that the new mixture contains 20 % .w4ter? (a) 4 liters (b) 5 liters (c) 6.5 liters (d) 7.5 liters 105. The length of a rectangle is increased by 40% and its breadth decreased by 30%: The change in the area of the rectangle is— (a) 10% increase (b) 10% decrease (c) 2% increase (d) 2% decrease 106. Convert 0.71833 into a fraction. (a) 431/60 (b) 431/600 (c) 4.31/60 (d) 4.31/6 107. The number of terms in the sequence 4, 11, 18, …, 186 is— (a) 17 (b) 25 (c) 26 (d) 27 108. Which number is 60% less than 80? (a) 48 (b) 42 (c) 32 (d) 16 109. If x is 90 % of y what % of x is y? (a) 101.1 (b) 190 (c) 90 (d) 111.1 110. A number exceeds 20% of itself by 40. The number is— (a) 50 (b) 60 (c) 80 (d) 200 111. If 5:8 =150: x, then the value of x is— (a) 180 (b) 190 (c) 200 (d) 240 112. If A: B=7:9 and B: C=3:5 then A: B: C is— (a) 7:9:5 (b) 21: 35:45 (c) 7: 9: 15 (d) 7:3:15 113. If a/b =1/2, then the value of a + b /a-b is- (a) -3 (b) ½ (c) 2 (d) – 1/3 114. If a/3 = b/4 = c/7, then the a + b + c /c is— (a) 7 (b) 2 (c) ½ (d) 1/7 115. If the side of a square is increased by 25%, then how much % does its area increase? (a) 125 (b) 50 (c) 56.25 (d) 156.25 116. ((0.5)3 + (0.6) 3 )/ ((0.5)2 – 0.3 + (0.6)2is equal (a) 0.1 (b) 1.1 (c) 0.3 (d) 0.61 117. A lends Rs. 600 to B for 2 years and Rs. 150 to C for 4 years and received from both Rs. 90 as simple interest the rate of interest is— (a) 12% (b) 5 % (c) 10% (d) 4% 118. ¼ th of a number subtracted from 1/3rd of the number gives 12. The number is— (a) 72 (b) 120 (c) 144 (d) 63 119. Ram is 6 years older than Shyam who is 8 years younger than Suresh. Naresh is 2 years older than Ram, but not as much old as Kamal is. Who is the youngest? (a) Suresh (b) Shyam (c)Ram (d) None of these 120. The value of 3+ [(8-5) + {(4-2)+(2+3/8)}] is— (a) 17/3 (b) 33/3 (c) 13/7 (d) 13/68 121. The least multiple of 7 leaves a remainder 3 when divided by 4 or 12or 16 is— (a) 147 (b) 148 (c) 294 (d) 225 122. In an election one of the two candidates gets 40% votes and loses by 100 votes. Total number of votes is— (a) 500 (b) 400 (c) 600 (d) 1000 123. The H.C.F. of two numbers is 16 and their L.C.M. is 160. If one• of the numbers is 32, then the other number is— (a) 48 (b) 80 (c) 96 (d) 112 124. The number 0.25 is how many % of 20? (a) 25 (b) 0.025 (c) 1.25 (d) 2.5 125. The next number in the sequence 1/22, 4/23, 9/24, 16/25, 25/26, 36/27 is – (a) 20/28 (b) 47/28 (c) 49/28 (d) 49/48 126. If 16% of 40% of a number is 8, then the number is (a) 200 (b) 225 (c) 125 (d) 320 127. If the ratio of the areas of two squares is 9: 1, then the ratio of their perimeters is— (a) 9:1 (b) 3:1 (c) 3:4 (d) 1:3 128. The H.C.F. of two numbers is 12 and their difference is also 12. The numbers are— (a) 12, 84 (b) 84, 96 (c) 64, 76 (d) 110, 112 129. In a group of cows and hens, the number of legs is 14 more than twice the number of heads. The number of cows in the group is— (a) 5 (b) 7 (c) 10 (d) 12 130. A number when successively divided by 4, 5 and 7 leaves 2, 3 and 4 as remainders respectively. If the number is divided by 7, 5 and 4 respectively, the respective remainders will be— (a) 4:3:2 (b) 3:4: 2 (c) 3:3:2 (d) 2:3:4 131. A number divided by 899 gives a remainder of 63. If the number is divided by 29 the remainder will be (a) 2 (b) 5 (c) 13 (d) 28 132. The price of an article is cut by 10%. To restore it to its original value, the new price must be increased by— (a) 9 1/11 % (b) 10 % (c) 11% (d) 11 1/9 % 133. The sum of three numbers A, B and C is 98. If A: B = 2/3 and B : C = 5/8, then B is— (a) 15 (b) 20 (c) 30 (d) 32 134. Two numbers are such that their difference, their sum and their product are in the ratio of 1:7:24. The product of the numbers is— (a) 6 (b) 12 (c) 24 (d) 48 135. If 64 is divided into three parts proportional to 2, 4 and x. The smallest part is 10 2/3, then x equals— (a) 5 1/3 (b) 6 (c) l0 2/3 (d) 20 136. Due to 20% reduction in the price of sugar a man was able to purchase 6 kg more sugar for Rs. 120. The original rate of sugar was Rs…… per kg. (a) 5 (b) 6.15 (c) 5.65 (d) 6.20 137. If 270 is divided in the ratio 1/2: 1/3: 2/3, then the 2nd part is— (a) 120 (b) 60 (c) 30 (d) 150 138. How much per cent more than the cost price should a shopkeeper mark his goods so that after allowing a discount of 12% he should have a gain of 5% on his outlay? (a) 17.65 (b) 15 (c) 20 (d) 14.23 139. A certain sum at a certain rate becomes Rs. 1344 in 4 years and Rs. 1416 in 6 years. The sum is— (a) Rs. 1265 (b) Rs. 1500 (c) Rs. 1000 (d) Rs. 1200 140. What is the equivalent discount of the 20%, 10%, 5% discount series? (a) 30.28% (b) 31.6% (c) 33.8% (d) 34.2% 141. The standard deviation for the following data— 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 5— (a) 3.16 (b) 4.20 (c) 4.15 (d) 2.60 142. Two persons ride towards each other from two places 55 km apart, one riding 12 km per hour and other at 10 km per hour. They will be first 11 km apart after riding for …. hours. (a) 2 1/11 (b) 2 ½ (c) 2 (d) 2 1/3 143. Mohan invested Rs. 913 partly in 4% stock at Rs. 97 and partly in 5% stock at Rs. 107. If his income from both is equal, amount invested on first stock was Rs.— (a) 750 (b) 525 (c) 610 (d) 485 144. The length of the longest rod that can be placed in a room f dimensions 12 m x 9 m x 8m is— (a) 15 m (b) 4/13 m (c) 12 m (d) 17 m 145. The slant height of a right cone is 10 m and height 8 m. Its curved surface is …. sq. m. (a) 175 (b) 185 (c) 188.5 (d) 198.5 146. The tent of a circus is cylindrical up to a height of 5 m and conical above it. Its diameter is 140 m and slant height of the conical portion is 60 m. The area of the total canvas used in making this tent should be … sq. m. (a) 1630 (b) 3080 (c) 3620 (d) none of these 147. Two right circular cones have the same radius as 2.1 cm but heights are 4.1 cm and 4.3 cm respectively. These are melted to form a sphere. Its radius will be— (a) 4.2cm (b) 2.1cm (c) 6.3 cm (d) 2.5 cm 148. A store has 345 liters of rum, 120 liters of beer and 225 liters of whisky. The biggest size of the casks in which the liquors can be stored is— (a) 25 liters (b) 15 liters (c) 35 liters (d) 5 liters 149. Simplify 2 ½ of ¾ x ½ + ³/2 + ½ + ³/2 (? – ½ of ?) to get— (a) 1 (b) 3 ? (c) 2 7/3 (d) 1 5/8 150. The product of 7892.35 and 99.9 is (a) 753445.765 (b) 764455.765 (c) 788445.765 (d) none of these 151. The number of prime numbers between 100 and 120 is— (a) 6 (b) 4 (c) 7 (d) 5 152. The value of the expression 15¼ + ? x 7¾ – 6? is— (a) 1535/36 (b) 13¾ (c) 12¾ (d) 10¾ 153. Price of rice is increased by 10%. The percentage of consumption of the rice to be decreased so that there would be no expenditure, is— (a) 91/11% (b) 8?% (c) 16?% (d) 18/10—% 154. By what least number should 2450 be multiplied so that the resulting number is a perfect square? (a) 2 (c) 5 (b) 10 (d) 6 155. The ratio of the areas of the in circle and circumcircle of an equilateral triangle is— (a) 1:4 (b) 1:9 (c) 1:2 (d) 1:3 156. A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price of the book is— (a) 99 : 125 (b) 55 : 69 (c) 50: 61 (d) 45 : 56 157. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders, is— (a) 78 (b) 80 (c) 56 (d) 70 158. A does half as much work as B and C does half as much work as A and B together. If C alone can finish the work in 12 days, then together all will finish the work in— (a) 6 days (b) 7 days (c) 4 days (d) 5 days 159. Taps A and B can fill a bucket in 12 minutes and 15 minutes respectively. If both are opened and A is closed after 3 minutes, how much further time would it take for B to fill the bucket? (a) 8 mm. 5 sec (b) 8 mm. 25 sec (c) 7 mm. 45 sec (d) 7 mm. 15 sec 160. A train -110 m long passes a man, running at 6 kmph in the direction opposite to that of the train in 6 seconds. The speed of the train is— (a) 54 km/hr (b) 72 km/hr (c) 60 km/hr (d) 66 km/hr 161. A boat takes 4 hours for travelling downstream from point A to point B and coming back to point A upstream. If the velocity of the stream is 2 kmph and the speed of the boat in still water is 4 kmph, whit is the distance between A and B? (a) 8 km (b) 9 km (c) 4 km (d) 6 km 162. A man covered a-distance of 2000 km in 18 hours partly by bus at 72 kmph and partly by train at 160 kmph. The distance covered by bus is—. (a) 860 km (b) 640 km (c) 1280 km (d) 720 km 163. The difference between simple interest and compound. Interest on Rs. 1200 for one year at 10% per annum, reckoned half yearly is— (a) Rs. 8.80 (b) Rs. 3 (c) Nil (d) Rs. 13.20 164. When simplified, the product (2 – 1/2) (2 – 3/5) (2- 5/7)…….(2 -997/999) is equal to (a) 5/999 (b) 1001/999 (c) 1001 /3 (d) None of these 165. The 1eastperfect square number which is divisible by 3, 4, 5, 6,and 8 is— (a) 900 (b) 1600 (c) 2500 (d) 3600 166. If cost of oil is increased by 25% then a house should decrease by what percent her consumption of oil so that it does not affect her expenditure in this commodity? (a) By 20 % (b) By 25 % (c) By 16 % (d) By 20 % 167. Ratio of Ram and Shyam’s income is 7:17 and ratio of Shyam and Sohan’s income is 7:17. If Ram’s income is Rs. 490 then what is the income of Sohan? (a) 490 (b) 2890 (c) 2790 (d) 1190 168. A man has Rs. 480 in the denominations of one rupee note, five rupee notes and ten rupee notes. The numbers of notes are equal. What is the total number of notes? (a) 60 (b) 90 (c) 75 (d) 45 169. In an organization, 40% of the employees are matriculate, 50% of the remaining are graduates and, remaining 180 are post- graduates. How many employees are graduates? (a) 360 (b) 240 (c) 180 (d) 300 170. What must Be added to each term of the ratio 49:68 so that it become3:4? (a) 3 (b) 5 (c) 8 (d) 9 171. A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 10,000. If out of a total profit of Rs. 1000, A gets Rs. 500 and B gets Rs. 300, then C’s capital is — (a) Rs. 4000 (b) Rs. 5000 (c) Rs. 6000 (d) Rs. 9000 172. The smallest whole number which is divisible by 3 and also by the next two greater prime numbers is— (a) 15 (b) 21 (c) 60 (d) 105 173. Rs. 1980 are divided among A, B, C so that half of A’s part, one- third of B’s part and one-sixth of C’s part are equal. Then, B’s part is— (a) Rs. 660 (b) Rs. 360 (c) Rs. 1080 (d) Rs. 540 174. A, B, C subscribe Rs. 47000 for a business. If A subscribes Rs. 7000 more than B and B Rs. 5000 more than C then out of a total profit of Rs. 9400, B receives— (a) Rs. 1737.90 (b) Rs. 2000 (c) Rs. 3000 (d) Rs. 4400 175. Karnataka Express leaves Bangalore at 5 p.m. and reaches Dharmavaram at 9 p.m. Kurla Express leaves Dharmavaram at 7 p.m. and reaches Bangalore at 10.30 p.m. What time do the trains cross one another? (a) 8.26 p.m. (b) 8 p.m. (c) 7.36 p.m. (d) 7.56 p.m. 176. If the height of the cone is doubled then its volume is increased by— (a) 100% (b) 200% (c) 300% (d) 400% 177. The value of [log 3/5 +log 5/36 +log 12] is equa1 to — (a) log 5 (b) log 3 (c) log 2 (d) log 0 178. Two years ago a man was 6 times as older as his son. In 18 years, he will be twice as Older as his son. Their present ages are— (a) 32 years, 7 years (b) 34 years, 9 years (c) 36 years, 11 years (d) none of these 179. If (x—2) is a factor of x2+3qx— 2q then the value of q is— (a) (b) —2 (c) 1 (d) —1 180. A dishonest dealer sells his goods at the cost price and still earns a profit of 25% by under weighing. What weight does he use for a kg? (a) 750 gms (b) 800 gms (c) 825 gms (d) 850 gms 181. A Railway Refreshment Room of a station has provisions for 20 weeks for catering to 750 passenger’s daily average.. If at the end of 4 weeks daily average of passengers is increased by 450, how long will remaining provision last? (a) 10 weeks (b) 15 weeks (c) 11 weeks (d) 16 weeks 182. If a train runs at 40 kmph, it reaches its destination late by 11 minutes but if it runs at 50 kmph, it is late by 5 minutes only. The correct time for the train to complete its journey is— (a) 13 min. (b) 15 mm. (c) 19 mm. (d) 21 mm, 183. A merchant marks his goads at Rs. 300 and allows a discount of 25%. If he still gains 12.5% then the cost of article is— (a) Rs. 220 (b) Rs. 240 (c) Rs. 200 (d) Rs. 260 184. If four examiners can examine a certain number of answer books in 8 days by working 5 hrs a day, for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 28 days? (a) 6. hours (b) 7 ½ hours (c) 8 hours (d) 9 hours 185. Two men starting from the same place walk at the rate of 4 kmph and 4.5 kmph respectively What time will they take to be 8.5. km apart, if they walk in the same direction— (a) 12 hrs (b) 14 hrs; 15 mi (c) 17 hrs. (d) 12 hrs. 55 mm. 186. If 8 tan x = 15, then value, of (sin x — cos x) is— (a) 8/17 (b) 17/7 (c) 1/17 (d) 7/17 187. A man sold goods at a profit of 20%. If he buys it for 20% less and’ sells it for Rs. 5 less, then he gets 25% profit. Find the cost price of the goods. (a) Rs. 30 (b) Rs. 60 (c) Rs. 25 (d) Rs. 40 188. What is the H.C.F. of a2b2 c6 b3 c8a4 and a8b6c2? (a) a4b4c4 (b) a2b2c2 (c) a2b3c2 (d) a2b3c3 189. In the mixture of 20 kg milk and water, 15% is water. If 5 liters water is added to it, then what will be percentage of milk in the mixture? (a) 10 % (b) 20 % (c) 15 % (d) 32 % 190. If income of x is more than 20% of y’s income, then income of y is what per cent lesser than x’s income? (a) 25 % (b) 20 % (c) 16 2/3 % (d) 33 1/3 % 191. A man sold two horses for Rs. 6000 each, in this transaction he gets 10% profit in first horse and 10% loss in second horse. What does he get in the whole transaction? (a) No profit no loss (b) 1 % profit (c) 1 % loss (d) 0.1 % loss 192. 22x = 256, then what, is the value of x? (a) 4 (b) 3 (c) 2 (b) 3 193. If addition of roots is, 11 and multiplication of roots are 30, and then calculate the quadratic equation? (a) x 2—11 x—30 = 0 (b) x 2—11 x + 30 = 0 (c) x 2—30 x + 11 = 0 (d) x 2 + 11 x + 30 = 0 194. Find the difference in compound interest and simple interest of Rs. 400 at the rate of 5% per annum for 2 years. (a) Re. 1 (b) Rs. 2 (c) Rs. 3 (d) Rs. 4 195. Equation 2x2 — 5x + 30 = 0, find the root? (a) Root is teal and dissimilar (b) Not real root (c) Root is real and equal (d) None of these 196. If log 2 = 7, then the value of log 80— (a) 18 (b) 16 (c) 22 (d) 14 197. Find the distance between the dots (1,2) and (3,5) — (a) 6 (b) 13 (c) 24 (d) 13 198. In the given equation 5x + 3y -19 = 0, then find the value of slope— (a) +5/3 (b) – 5/3 (c) -3/5 (d) – 5/4 199. Which of the following has the lowest value? (a) ¾ (b) 5/6 (c) 7/9 (d) 11/13 200. In what time at the rate of 5% per annum from simple interest any principal will be increased by 40 %? (a) 5 years (b) 6 years (c) 4 years (d) 8 years 201. A train running at the speed of 60 kmph crosses a pole in 15 seconds. The length of the train is— (a) 120 m (b) 150 m (c) 250 m (d) 200 m 202. The diameter of a circle is 8 cm. A quarter part of the circle is folded as a cone The height of. cone is— (a) 6cm (b) 4 cm (c) 2cm (d) none of these 203. 55% of a sum of money is Rs. 1.1. The sum of money is: (a) Rs. 20 (b) Rs. 2 (c) Rs. 11 (d) Rs. 110 204. 33 ½ % of A= l.5 of B= 1/8 of C. Then A: B: C: is: (a) 24:2:9 (b) 2:9:24 (c) 9:2:24 (d) 9:24:2 205. A man’s working hours a day were increased 20% and his wages per hour were increased by 15%. By how much per cent were his daily earning increased? (a) 38% (b) 35% (c) 5% (d) 40% 206. How many children did not try any of these rides? (a) 5 (b)10 (c) 12 (d) 15 207. How many children took exactly one ride? (a) 20 (b) 18 (c) l5 (d) 10 208. One typewriter marked for sale at Rs. 480, dealer allows discount of 10% and yet makes profit of 8%. What should his gain be if no discount were allowed? (a) Rs. 80 (b) Rs. 38.40 (c) Rs. 20 (d) Rs. 48 209. 25 men with 10 boys can do in 6 days as much work as 21 men with 30 boys can do in 5 days. How many boys must help 40 men to do the same work in 4 days? (a) 5 boys (b) 40 boys (c) 20 boys (d) 10 boys 210. A and B enter into partnership with capitals as 5:6. At the end 8 months A withdraws. If they receive profit in the ratio of 5:9, find how long B’s capital was used? (a) 4 months (b) 8 months (c) 12 months (d) None of these 211. A man invested Rs. 14,400 in the hundred rupees shares of a company at 20% premium. If the company declared 5% dividend at the end of the year how much does he get? (a) Rs.720 (b) Rs. 500 (c) Rs. 600 (d) Rs. 650 212. A train started with 540 passengers. At the first station 1/ 9 of them got down and 24 got up. On its second station 1/8 of the passengers then existing got down and 9 got up. With how many passengers it reached the third station? (a) 500 (b) 450 (c) 540 (d) 550 213. If the rate of dividend is 5%, find the income by purchasing 20 shares of Rs. 50 each at Rs. 50. (a) Rs. 60 (b) Rs. 50 (c) Rs. 40 (d) Rs. 30 214. The price of sugar is increased by 10%. By what percentage one must cut down his consumption of sugar, so that no extra amount has to be spent on it? (a) 9 1/11 % (b) 11 1/9 % (c) 10 % (d) 12 % 215. (11.6 + 0.8) (13.5 ÷ 2) = ? (a) 98 (b) 99 (c) 100 (d) None of these 216. If in any year, other than leap year, the 28th of February is a Monday, what will be the day on 2nd January? (a) Monday (b) Wednesday (c) Sunday (d) Friday 217. The air consists of 79.2% of Nitrogen, 20.7% of Oxygen, 0.08% of other light gases and the remaining gas is Argon. Find out the volume of the air consisting one cubic meter of Argon. (a) 500 m3 (b) 50 m3 (c) 5 m3 (d) 5000 m3 218. A cyclist rides 24 km at 16 kmph and further 36 km at 15 kmph. Find his average speed for the journey. (a) 15.38 kmph (b) 16 kmph (c) 15.5 kmph (d) None of these 219. A sum of Rs. 1,550 was lent partly at 5% and partly at simple interest. The total interest received after 3 years was Rs. 300. The ratio of Money lent at 5% to 8% is: (a) 5:8 (b) 8:5 (c) 31:6 (d) 16:15 220. A father left a will of Rs. 16,400 for his two sons aged 17 and 18 years. They must get equal amounts when they are 20 years. at 5% compound interest. Find the present share of the younger son. (a) Rs. 8000 (b) Rs. 8,200 (c) Rs. 8,400 (d) Rs. 10,000 221. What will be the value of 47/10,000? (a) 0.00047 (b) 0.0470 (c) 0.0047 (d) 0,4700 222. In 15 years, a sum of money put on simple interest trebles itself, the rate of interest per annum would be— (a) l6 2/5 % (b) 13 1/3 % (c) 25 % (d) 50 % 223. The selling price of 12 articles is equal to the cost price of 15 articles. The gain per cent is— (a) 25% (b) 20% (c) 30% (d) 50% 224. What will be the value of (9856 x 856 + 9856 x 144)? (a) 985600 (b) 98560 (c) 956000 (d) Non’ of these 225. The price of a commodity is first increased by 30% and then decreased by 30%. What will be the effect on its price? (a) 9% decrease (b) Data inadequate (c) 9% increase (d) None of these 226. If 5 men and 8 women can do a piece of work in 5 days and 6 men and 3 women can also do the same work in 5 days then 2 men and 5 women will do this. work in— (a) 2 3/11 days (b) 5 days (c) 11 days (d) 15 days 227. A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in— (a) 6 ½ days (b) 7 ½ days (c) 8 days (d) 9 days 228. Find the HCF of (9x2 – 4) and (6x2 -5x-6) (a) 3x+2 (b) 4x+5 (c) 2x+3 (d) 3x-2 229. The diameter of a circular wheel is 168 cm. How far will it travel in 100 revolutions? (a) 52800 cm (b) 264 cm (c) 4620 cm (d) 9800 cm 230. If 1/x+1/y=5, 1/x+1/y=6,1/y+1/z=7, then find the values of x, y and z respectively. (a) 1/2, 1/3, -1/4 (b) 1/2, 1/3, ¼ (c) -1/2, 1/3, ¼ (d) 1/2, 1/3, 1/4 231. The present age of Sohanlal is four times the present age of his son. Four years hence, the sum of their age’s wil1 be 43. What is the present age of his son? (a) 15 years (b) 10 years (c) 7 years (d) 12 years 232. Find the product of the roots of the equation – 3 – 7x + 6x2 = 0 (a) -2 (b) ½ (c) 2 (d) – 1/2 233. 9×16+224-56+1/2 -1/4 =? (a) 37 23/28 (b) 312 ¼ (c) 1473/4 (d) 1481/4 234. 0.05 x 0.05 x 0.05 — 0.04 x 0.04 x 0.04 = 0.05 x 0.05 ÷ 0.002 + 0.04 x 0.04 (a) 0.01 (b) 0.02 (c) 0.09 (d) 0.9 235. Out of the numbers given below, by which least number should 176 be multiplied so that it will be a perfect square? (a) 8 (b) 11 (c) 12 (d) None of these 236. How many days are there from 2nd January, 1995 to 15th March, 1995? (a) 73 (b) 74 (c) 71 (d) 72 237. The two sides of a right triangle containing the right angle are 15 cm and 8 cm. The radius of its circumcircle is— (a) 4.75 cm (b) 2.375 cm (c) 8.5 cm (d) 11.5 cm 238. The angles of a heptagon are in the ratio 1:2:3:4:5:6:7: 8. The smallest angle is— (a) 30 ° (b) 22 ½ ° (c) 12° (d) 24° 239. Two chords AB and CD of a circle intersect at E such that AE= 2.4 cm, BE = 3.2 cm and CE = 1.6cm. The length of DE is— (a) 4.8 cm (b) 6.4tm (c) 1.6 cm (d) 3.2 cm 240. An edge of a cube measures 10 cm. If the largest possible cone is cut out of this cube, then the volume of the cone is— (a) 261.9 cm3 (b) 262.7 cm3 (c) 260 cm3 (d) 260.9 cm3 241. Mac has £3 more than Ken, but then Ken wins on the horses and trebles his money, so that he has now £2 more than the Original amount of money that the two boys’ had between them. How much money did Mac and Ken have between them before Ken’s win? (a) £13 (b) £15 (c) £9 (d) £11 242. Kamal got married 6 years ago.Today her age is 1/10 times her age at the time of marriage. Her son’s age is 1/10 times her age. Her son’s age is— (a) 4 yrs (b) 5 yrs (c) 2 yrs (d) 3 yrs 243. The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population in per cent is given by— (a) 21% (b) 2:1% . (c) 0.021% (d) 0.0021% 244. If log10 2 = 0.3010, then log210 is— (a) 3.3220 (b) 5 (c) 0.3322 (d) 3.2320 245. A man invests equal sums in. 6% bonds and 10% bonds and gets 10% for his money If 8% bond of face value Rs. 100 are available at Rs. 80, what is the price at which he purchased the 6% bond of same face Value? (a) Rs. 60 (b) Rs. 80 (c) Rs. 100 (d) Rs. 120 246. Carpenter X can make a table in 2/3rd of a day, while Y can make it in 2/5th of a day. How many tables could both of them make in a day? (a) 3 (b) 1 1/15 (c) 4 (d) 3 2/15 247. Three partners A, B and C make a profit of Rs. 95,000 ‘together in a business. A invested half the capital for half the time, B one- third of capital for one-third the time and the remaini1g partner, the rest of the money for whole.What is B’s share of the profit? (a) Rs. 95,000/9 (b) Rs, 19,000 (c) Rs. 38,000 (d) Rs. 20,000 248. A rich man distributed his land equally between his 5 son’s. Later, he took away the youngest one’s share as a punishment for demanding dowry, and distributed it equally among the others. The eldest now had 93.75 sq. m. of land. How much land did the man originally have? (a) 375 sq. m. (b) 150 sq. m. (c) 425 sq. m. (d) 937.5 sq. m. 249. In a class 60% of the students were boys and 30% of them got a first class. If 50% of the students in ‘the class got a first class, find the fraction of the girls in the class who got a first class? (a) 2/5 (b) 4/5 (c) ¾ (d) 2/3 250. Naveen sold his bat and two balls to Babloo and he made a profit of 20% on the bat but gave away the balls, for which he had paid half as much as the bat, at a loss of 20%. On the whole he made Rs. 20 profit. Find the total cost of the bat and the ball. (a) Rs. 400 (b) Rs. 300 (c) Rs, 200 (d) Rs. 100 251. R had twice the money Q had. But after Q received Rs. 42000 from R, R had 1/14th as much as Q. How much money in rupees did Q have in th beginning? (a) 6000 (b) 4500 (c) 3000 (d) 5000 252. From a pack of 52 cards 2 cards are drawn one by one without replacement. The probability that the first drawn card is a king and the second is a queen, is (a) 2/13 (b) 8/663 (c) 4/663 (d) 103/663 253. Out of 40 respective natural numbers, two numbers are selected randomly. What is the probability that the sum of two numbers will be an odd number? (a) ½ (b) 14/19 (c) 14/29 (d) 20/39 254. The ratio of a two digit number and sum of this no. is 4:1. If unit place of this no. is exceeded by 3 of tens place number then what is the number? (a) 24 (b) 63 (c) 42 (d) 36 255. The average temperature from Monday to Wednesday is 37°C and the average temperature from Tuesday to Thursday is 34°C. If the temperature of Thursday is 4/5th of the temperature on Monday, then what is the temperature of Thursday? (a) 36 5°C (b) 36°C (c) 35.5°C (d) 34°C 256. 6, 13, 18, 25, 30, 37, 40 (a) 25 (b) 30 (c) 37 (d) 40 257. 46080, 3840, 384, 48, 24, 2, 1 (a) 1 (b) 2 (c) 24 (d) 384 258. 125, 127, 130, 135, 142, 153, 165 (a) 165 (b) 153 (c) 142 (d) 130 259. How many cubes have only two faces painted? (a) 16 (b) 20 (c) 24 (d) 28 260. How many cubes have two faces painted red and black and all other faces unpainted? (a) 4 (b) 12 (c) 8 (d) 16 261. How many cubes have one face painted blue and one face painted red? (The other faces may be painted or unpainted) (a) 16 (b) 12 (c) 8 (d) 4 262. How many cubes have three faces painted with different colour? (a) 16 (b) 4 (c) 8 (d) 12 263. If 2/x = 4 and if 2/y = 8 then x – y = (a) ¼ (b) 4 (c) ¾ (d) 1/8 264. P is older, than Q but he is younger than R. If P’s age is b, Q’s age is c and R’s age is d, then which of the following is true? (a) c<d<b (b) b<d<c (c) b <c <d (d) b > c <d 265. If x = -2, then x3—x2—x—1=? (a) —3 (b) —11 (c) — 15 (d) 13 266. What is the area of a square inscribed in a circle whose circumference is 1 6it? (a) 256 (b) 64 (c) 32 (d) 128 267. There are 27 students in a Chemistry class and 2 students in a Physics class. Seven of these students take Physics and Chemistry both. What is the ratio of the number of students , taking only Physics to those taking Chemistry? (à) 7:6 (b) 6:7 (c) 4:3 (d) 3:4 268. A bag contains 50 paisa, 25 paisa and 10 paisa coins in the ratio 5:9:4 amounting to Rs. 206. Find the number of coins of each type. (a) 180, 400, 200 (b) 200, 360, 160. (c) 150, 440, 280 (d) 220, 300, 10 269. The cost price of 12 articles equal to selling price of 9.. articles. Find the gain percent. (a) 20 % (b) 25 % (c) 33 % (d) 40 % 270. Reeta got married 6 years ago. Today her age is1 ¼ times her age at the time of marriage. Her son’s age is 1/10 times her age. Her son’s age is - (a) 3 years (b) 4 years. (c) 5 years (d) 2 years