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Quantitative Aptitude questions with answers, page 16

1,784 solved Quantitative Aptitude MCQs from SSC, RRB, banking and police exams. Open any question to try it and read the explanation. Want a timed test instead? Free Quantitative Aptitude practice sets.

  1. Simplify: 5.02 x 2.4 - 1/2 = ?
  2. Deepak spends 30% of her monthly income on rent and 25% of the remaining on food. If Deepak saves ā‚¹12,600 every month, what is the monthly income?
  3. A boat covers a distance of 85 km. The time it takes upstream and downstream is in the ratio 11:6. If the upstream journey takes 5 hours more thanā€¦
  4. A quantity M satisfies M^(3/2) = 512. If the square of M is then reduced by 25%, find the resulting value.
  5. The ratio of the ages of A and B is 3:4, and the ratio of the ages of B and C is 5:7. If the sum of the ages of A and C exceeds twice the age of Bā€¦
  6. The difference between a single discount of 45% and two successive discounts of 25% and 20% on the marked price of an article is ā‚¹395. What is theā€¦
  7. A train 270 m long crosses a platform 120 m long while running at 36 km/hr. Find the time taken.
  8. Three identical cuboids of length 12 cm, breadth 9 cm and height 3 cm are placed one above the other to form a new cuboid. What will be the volumeā€¦
  9. From one vertex of a polygon, 31 diagonals can be drawn. Find the total number of diagonals in the polygon.
  10. If āˆš9025 = 95, find the value of āˆš90250000 + āˆš90.25.
  11. Find the total surface area of a cube with side 16 cm.
  12. The height of a parallelogram is thrice its base, and its area is 432 cmĀ². Find its base.
  13. A time period consists of 84 complete years, followed by the months of January, February of a non-leap (ordinary) year, followed by 25 extra daysā€¦
  14. A sum of money lent at compound interest, compounded annually, amounts to ā‚¹4,840 at the end of the first year and to ā‚¹5,324 at the end of the secondā€¦
  15. Two circles intersect such that the distance between their centres is 8 cm and the length of their common chord is 42 cm. If the radius of oneā€¦
  16. If log 2 = 0.3010 and log 3 = 0.4771, then the value of log 150 is:
  17. In triangle ABC, AB = 32 cm, AC = 26 cm and BC = 22 cm. D is the midpoint of BC. Find the length of the median AD.
  18. A sum of Rs. 18000 due at 10% per annum has a true discount of Rs. 6750.0. Find the time period.
  19. Study the number series: 9, 10, 19, 29, 48, 77, ?. From the third term onward, each term is the sum of the two terms immediately before it. Whatā€¦
  20. A car travels at 45 km/h. How far does it go in 4 hours?
  21. A train running at a speed of 60 km/h crosses an electric pole in 9 seconds. What is the length of the train?
  22. The present average age of a cricket team of 7 members is 30 years. What was the total age of all the members 4 years ago?
  23. Two towers of equal height stand on opposite sides of a straight road that is 180 m wide. From a point on the road between the two towers, theā€¦
  24. Simplify: (3.5 Ɨ 3.5 Ɨ 3.5 + 0.6 Ɨ 0.6 Ɨ 0.6) Ć· (3.5 Ɨ 3.5 āˆ’ 3.5 Ɨ 0.6 + 0.6 Ɨ 0.6)
  25. A trader wants to prepare 50 kg of a mixture worth ā‚¹40/kg by mixing tea worth ā‚¹38/kg with tea worth ā‚¹106/kg. How much of the cheaper tea should heā€¦
  26. Three cyclists start together from the same point on a circular track of length 4 km and ride in the same direction at 20 km/h, 15 km/h and 12 km/hā€¦
  27. Tarun bought Rs. 100 face-value shares of a company at Rs. 196 each, paying an additional brokerage of Rs. 4 per share. The stock carries an annualā€¦
  28. The average of 5 numbers is 69. If 4 of the numbers are 57, 73, 31, 61, find the remaining number.
  29. Find the LCM of 15, 56 and 64.
  30. Find the value of 1Ā³ + 2Ā³ + 3Ā³ + ā€¦ + 10Ā³.
  31. Unit 1 has 12 members with an average performance rating of 58, Unit 2 has 18 members with an average of 72, and Unit 3 has 10 members with anā€¦
  32. The banker's discount on a bill due in 5 years at 6% per annum is Rs. 850. Find the amount of the bill.
  33. Find the missing term in the series: 100, 121, 144, ?, 196
  34. If 4 cooks, each with an efficiency of 8 units per hour, can prepare 24 trays of sweets in 12 hours, how many hours will 6 cooks, each with anā€¦
  35. A wholesaler buys an article for ā‚¹2000 and marks it 25% above its cost price. He sells it to a retailer at a certain discount, earning a profit ofā€¦
  36. A train, 240 m long, crosses a man walking at 6 km/h coming from the opposite direction in a certain time. Had the man instead been running at 12ā€¦
  37. Find the value of āˆš(1 + 3 + 5 + ā€¦ + 15) Ɨ āˆš(36 Ɨ 38 + 1).
  38. A farmer's cooperative mixes 20 kg of rice costing Rs 38 per kg with 20 kg of rice costing Rs 62 per kg. At what price per kg should the mixture beā€¦
  39. By selling an article for ā‚¹720, Meena incurs a loss of 10%. At what price should he sell it to gain 10%?
  40. The outer radius of a circular ring is 6 cm and the area of the ring is 110 cmĀ². What is the inner radius of the ring? (Take Ļ€ = 22/7)
  41. If nC9 = nC7, find the value of nC5.
  42. Find the area of a rectangle with length 12 cm and breadth 9 cm.
  43. A metallic sphere of radius 6 cm is melted and recast into a solid cylinder of radius 4 cm. Find the height of the cylinder.
  44. A vertical pole of height 6 m casts a shadow of length 4 m at a certain time of day. At the same time, a nearby vertical tower casts a shadow ofā€¦
  45. A bus travels for 2 hours at 80 km/h, then for 1 hour at 50 km/h and finally for 2 hours at 30 km/h. What is the average speed of the bus for theā€¦
  46. A set of 6 consecutive natural numbers starts from 50, and another set of 14 consecutive natural numbers starts from 103. If the two sets are mergedā€¦
  47. A trader's bill of face value F, due 6 months hence, was originally to be discounted immediately at 5% per annum banker's rate. Instead, heā€¦
  48. From the top of a tower 75 m high, the angles of depression of two objects on the ground, both on the same side, are 60 and 30 degrees. Find theā€¦
  49. Two straight lines PQ and RS intersect at point O such that angle POR = (3x + 27)Ā° and angle QOS = (4x - 1)Ā°. Find the measure of angle POR.
  50. In a game of 50 points, A can give B 15 points and C 35 points. Find how many points B can give C.
  51. The average of 3 numbers is 72. If 2 of the numbers are 37, 35, find the remaining number.
  52. Find the value of 1Ā² + 2Ā² + 3Ā² + ā€¦ + 9Ā².
  53. In a hospital ward of 80 patients, the combined average recovery time is 59 days. Among them, 45 patients (Group 1) have an average recovery time ofā€¦
  54. The banker's discount on a bill due in 2 years at 6% per annum is Rs. 600. Find the amount of the bill.
  55. Two trains, running in opposite directions, cross each other in 15 seconds; running in the same direction, the faster one overtakes the slower in 30ā€¦
  56. If the price of an item increases from ā‚¹250 to ā‚¹300, find the percentage increase.
  57. Average weight of 15 boys is 48kg, and average weight of 10 girls is 40kg. The average weight of all 25 students (kg) is
  58. In a school there are 234 teachers and 480 non-teaching staff. 1/6 of the teachers and 5/8 of the non-teaching staff are women. How many men areā€¦
  59. A train running at 72 km/h crosses a platform 180 m long in 15 seconds. Find the length of the train.
  60. A trader mixes three grades of tea: Grade X, 6 kg at Rs 100/kg; Grade Y, an unknown quantity at Rs 150/kg; and Grade Z, 4 kg at Rs 200/kg. If theā€¦
  61. The angle of elevation of the top of a tower 15 m high, from two points on the same side and in the same line with its base, are 60 and 30 degreesā€¦
  62. Vishnu and Waheed run a race of 400 m. Vishnu finishes in 50 seconds, while Waheed runs at a constant speed of 7 m/s throughout. If Vishnu andā€¦
  63. Find the investment required to obtain an annual income of Rs. 4400 from 10% stock at Rs. 144.
  64. The average of 5 numbers is 65. If 4 of the numbers are 81, 29, 86, 13, find the remaining number.
  65. Find the sum of the first 40 terms of the arithmetic progression 19, 25, 31, ā€¦.
  66. A tap can fill a school's overhead tank in 14 hours. Because of a leak in its base, the tank takes 18 hours to get completely filled. If the tank isā€¦
  67. 9 men can dig a canal in 14 days. In how many days will 42 men dig a canal of the same size?
  68. In how many years will a sum of ā‚¹16,500 yield a simple interest of ā‚¹5,940 at 4.5% per annum?
  69. A motorist travels for some time at 35 km/h and then for the rest of a total journey time of 8 hours at 55 km/h, covering a total distance of 380ā€¦
  70. If A : B = 5 : 9, B : C = 5 : 6, C : D = 3 : 2 and A + B + C + D = 1,600, then the value of D is:
  71. A wheat trader uses a weight that gives only 800 g against every claimed 1 kg. He offers a 20% discount on his marked price and, despite theā€¦
  72. A train passes two persons walking in the same direction as the train at 4.5 km/h and 9 km/h in 24 seconds and 28 seconds respectively. What is theā€¦
  73. For a certain regular polygon, the sum of the interior angles works out to 2340Ā°. Using this, find the measure of one exterior angle of the polygon.
  74. From a drum containing 405 litres of pure milk, a certain quantity is drawn out and replaced with water; the same quantity is again drawn out (fromā€¦
  75. Anand started a construction business with Rs 60,000. After 4 months Balaji joined him with Rs 75,000. At the end of the year the profit was Rsā€¦
  76. From 9 men and 6 women, in how many ways can a committee of 4 be formed having at least 1 women?
  77. A circular running track has a radius of 49 m. Find the cost of fencing along its boundary at Rs 10 per metre. (Use Ļ€ = 22/7)
  78. In how many years will ā‚¹30,400 become ā‚¹47,500 at 25% per annum compound interest, compounded annually?
  79. The work efficiencies of A, B and C are in the ratio 2:3:5. Working together, they can complete a project in 10 days. All three work together forā€¦
  80. If a + 1/a = 17 and b āˆ’ 1/b = 19, find the value of (aĀ² + 1/aĀ²) + (bĀ² + 1/bĀ²).
  81. Ravi invests ā‚¹4000 for the whole year. Rahul invests ā‚¹8000 initially, but after 6 months withdraws ā‚¹2500 for the rest of the year. Out of a totalā€¦
  82. The difference between the value of a number increased by 25% and the value of the same number decreased by 10% is 280. What is the number?
  83. In the series 13, 16, 28, 76, ?, starting from the 1st term, to get the next term the digit-product of the current term is multiplied by the stepā€¦
  84. Two trains, W (160 m) and X (240 m), running on parallel tracks of the Jaipurā€“Kota section, cross each other completely in 10 seconds when movingā€¦
  85. A camp has food sufficient for 43 soldiers for 31 days. If 131 soldiers are there, for how many days will the food last?
  86. Find the average of 9 consecutive numbers starting from 97.
  87. The first term of an arithmetic progression (AP) is 11 and the common difference is 6. Find its 25th term.
  88. On a certain bill of exchange, the Banker's Discount is Rs 828 and the True Discount is Rs 414. Find the Banker's Gain.
  89. From the top of a watchtower 45 m high, the angle of depression of a jeep on the ground is 60Ā°. Find the distance of the jeep from the base of theā€¦
  90. What will come in place of the question mark (?) in the following equation? āˆš9 Ɨ āˆš36 + ? = 24 Ɨ 11
  91. Om starts facing due East. Om turns 60Ā° anticlockwise, and then makes one more turn ā€” this time anticlockwise ā€” by an unknown angle. If Om ends upā€¦
  92. In a race of 900 m, Sita beats Radha by 36 m and beats Geeta by 144 m. If Radha and Geeta were to run a race of 560 m at these same speeds, whatā€¦
  93. Sunita invests ā‚¹14,694 in 5% stock at 92 (brokerage 1%). What is Sunita's annual income from this investment?
  94. The average age of 20 students in a class is 40 years. The average age of 10 teachers is 20 years. Find the average age of all the students andā€¦
  95. Find the sum of the first 16 terms of the arithmetic progression 30, 33, 36, ā€¦.
  96. The mean of 12 numbers was calculated as 40. It was later found that one number was misread as 28 instead of 82. Find the correct mean.
  97. The true discount on a bill is Rs. 3740 and the banker's gain is Rs. 250. Find the present worth of the bill.
  98. 7 men and 9 women, working 7 hours a day, can finish weaving a lot of carpets in 18 days, given that 1 man's work rate equals that of 2 women. Ifā€¦
  99. If tan 3A = cot(A + 10Ā°), where 3A and A + 10Ā° are acute angles, find A.
  100. A shopkeeper buys an article for Rs 960 and sells it at a profit of 20%. Find the selling price.