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Quantitative Aptitude questions with answers, page 18

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. A trader wants to prepare 25 kg of a mixture worth ₹62/kg by mixing tea worth ₹56/kg with tea worth ₹102/kg. How much of the cheaper tea should he…
  2. Three straight lines AB, CD and EF all pass through the same point O, with rays OC and OE both lying between rays OA and OB (in the order OA, OC…
  3. In a 500 m race with no head start, A beats B by 100 m. If instead A gives B a start of 5 seconds, the race ends in a dead heat. Find A's speed.
  4. The average age of 15 students in a class is 35 years. The average age of 20 teachers is 20 years. Find the average age of all the students and…
  5. What is the smallest 5-digit number which is exactly divisible by 4, 9 and 6?
  6. A car covers 225 km on 15 litres of petrol. How far will it travel on 25 litres of petrol?
  7. A sum amounts to ₹4,900 in 3 years at 7.5% per annum simple interest. What is the simple interest on the same sum for 1 year at the same rate?
  8. In an examination Anita scored 50% marks and passed by 45 marks. If the pass percentage is 35%, what is the maximum marks of the examination?
  9. A hollow cylindrical pipe has an external radius of 21 cm and an internal radius of 7 cm. If its height is 5 cm, find the volume of material used to…
  10. Two positive perfect squares x and y satisfy √x − √y = 2 and x − y = 40. Find the value of xy.
  11. A invests Rs 45,000 in a business for the entire year. B invests Rs 60,000 but withdraws Rs 15,000 after 8 months (continuing with the reduced…
  12. A shopkeeper buys 100 identical pieces of a toy for a total of ₹5000 and marks each piece at ₹80. He sells 70 pieces at a discount of 10% each. To…
  13. The average speed of a train for a certain journey is 77 km/h. It covers the first 40% of the total distance at 70 km/h and the next 15% of the…
  14. In trapezium ABCD, AB is parallel to CD, with AB = 14 cm and CD = 34 cm. A line PQ is drawn parallel to AB and CD, meeting leg AD at P and leg BC at…
  15. Two drums contain a mixture of milk and water: the first has 12 litres in the ratio 3:1, and the second has 18 litres in the ratio 1:2. A third…
  16. By selling an article for ₹1425, Asha incurs a loss of 5%. At what price should he sell it to gain 15%?
  17. Stations X and Y are 660 km apart. A train leaves X towards Y at 50 km/h. The speed of the train from Y is 20% more than the speed of the train from…
  18. In trapezium ABCD, AB is parallel to CD, with AB = 12 cm and CD = 27 cm. A line PQ is drawn parallel to AB and CD, meeting leg AD at P and leg BC at…
  19. 29 kg of rice at Rs. 50/kg is mixed with 37 kg of rice at Rs. 50/kg. Find the average price per kg of the mixture.
  20. The circumference of a circle is 1408 cm. Find its area. (Use π = 22/7)
  21. Express 1 4/25 as a decimal.
  22. If a + b = 7 and a² + b² = 29, what is the value of a³ + b³?
  23. A wetland reserve near Seoni covers 45000 square metres. Given 1 hectare = 10,000 sq. metres, express this area in hectares.
  24. A museum's antique clock strikes 9 times in 26 seconds, taking an equal amount of time between any two consecutive strikes. How many seconds will it…
  25. A tangent LAM touches a circle at point A (L and M lie on opposite sides of A along the tangent line). A chord AB is drawn from A such that ∠LAB =…
  26. The prices of three items u, v and w add up to Rs 21, and the sum of the products of their prices taken two at a time is Rs² 68. Find u²+v²+w² (in…
  27. Rekha and Deepak invest in a business in the ratio 3:5. If the total profit at the end of the year is ₹7200, find Rekha's share.
  28. A number, when increased by 30%, gives 1274. The number is:
  29. A bacterial culture's population multiplies to become 21 times its initial size overnight. A student needs log₁₀(21) to estimate growth stages…
  30. The population of a village is 1,760. If it decreases at the rate of 25% per annum, what will be its population after 2 years?
  31. Three solid metal cubes of edges 3 cm, 4 cm and 5 cm are melted together and recast into a single solid cube. Find the edge of the resulting cube.
  32. If x = √(156 + √(156 + √(156 + …))) and y = √(156 − √(156 − √(156 − …))), then x² + y² is:
  33. A shopkeeper bought two ceiling fans together for a total of Rs. 8,200. He sold both fans at the same selling price, making a profit of 15% on the…
  34. A train crosses a tree in 14 seconds and a 500 m long platform in 34 seconds. What is the speed of the train in km/h?
  35. In kite WXYZ, diagonals WY and XZ intersect at O and are perpendicular. In right triangle WOX (right-angled at O), the side WX (a side of the kite)…
  36. If √5625 = 75, find the value of √56250000 + √56.25.
  37. A container contains 25 litres of pure milk. 6 litres are removed and replaced with water. This process is repeated once more. Find the percentage…
  38. Meena bought an article for ₹500 and sold it for ₹450. Find his gain or loss percent.
  39. The perimeter of a semicircular plate is 72 cm. What is its radius? (Take π = 22/7)
  40. Express 2 18/25 as a decimal.
  41. A dealer sells two items, each at the same price, one at a gain of 25% and the other at a loss of 25%. If he incurs an overall loss of ₹40 on the…
  42. The side of a rhombus is 29 cm and one of its diagonals is 40 cm. Find the length of the other diagonal.
  43. A invests ₹36,000 for 5 months and B invests ₹30,000 for 8 months in a business. If the total profit is ₹14,000, B's share is:
  44. A motorist covers a 200 km trip. She drives the first 80 km at a certain speed and the remaining 120 km at a speed 20 km/h faster than before…
  45. At a community fair, 2 zones were set up, each zone divided into 2 sub-zones, and each sub-zone had 6 families who each bought one hamper worth Rs…
  46. 3 years from now, Farah's age will be twice the age of her colleague Gopal at that time. 7 years after that point (that is, 10 years from now), the…
  47. The average number of sit-ups completed by 20 trainees in a fitness test is 45. A trainee who completed 30 sit-ups drops out and is replaced by a…
  48. The true discount on a certain sum due 2 years hence at 8% per annum is Rs. 208. Find the sum (the amount due).
  49. In a race of 950 m, the speeds of A and B are in the ratio 13:7. Find by how many meters A beats B.
  50. The average of 5 numbers is 50. If 4 of the numbers are 41, 31, 19, 58, find the remaining number.
  51. The HCF and LCM of two numbers are 19 and 1140 respectively. What is the product of the two numbers?
  52. An athlete's speed is 8 m/s. Find how many kilometres she covers in 1 hour 15 minutes.
  53. Find the simple interest on ₹12000 at 5% per annum for 5 years.
  54. The mean of 38 observations was found to be 78. Later it was discovered that an observation 100 was wrongly read as 43. Find the correct mean.
  55. A garrison of 125 soldiers has provisions for 43 days. After 25 days, 125 more soldiers join them. For how many more days will the remaining…
  56. A sum amounts to ₹8,120 in 4 years at 4% per annum simple interest. What is the simple interest on the same sum for 1 year at the same rate?
  57. x and y satisfy 9x + 2y = 46 and 4x + 3y = 27. Find the value of y.
  58. Convert 10 m/s into km/h.
  59. The volume of a right circular cylinder is 4928 cm³ and its height is 2 cm. Find the radius of its base. (Use π = 22/7)
  60. The speed of a boat in still water is 11 km/hr and the speed of the stream is 5 km/hr. Find the downstream speed of the boat.
  61. If 7, 35, 175 and k are in continued proportion, then the value of k is:
  62. A train running at 78 km/h crosses a motorcyclist coming from the opposite direction at 12 km/h. If the train is 225 m long, find the time taken to…
  63. Simplify: ∛0.000343 + ∛0.343 + ∛343
  64. Yusuf Stores mixes ordinary mustard oil costing Rs 76 per litre with some premium mustard oil in the ratio 7:4 (cheaper : dearer) and sells the…
  65. A shopkeeper has two articles, A and B, with cost prices ₹600 and ₹900 respectively (total CP = ₹1500). Article A is marked at ₹800 and sold after a…
  66. A train covers the 120 km distance between two stations at a certain uniform speed. On its return journey along the same route, its speed is 20 km/h…
  67. Find the area of the triangle with vertices A(-4, 8), B(6, -2) and C(-7, -6).
  68. Ramesh mixes Grade-B tea (cost Rs 60 per kg) with Grade-A tea in the ratio 3:4 (cheaper : dearer). The mixture is sold at Rs 168 per kg, giving a…
  69. The average weight of 10 students in a class is 42 kg. When the weight of the teacher is included, the average becomes 44 kg. Find the weight of the…
  70. Find the value of 4853 − (211 ÷ 2.11).
  71. 12 workers can repaint a gym hall in 15 days. How many days will 9 workers of the same efficiency take?
  72. The gap between two consecutive strokes of a post office's clock tower is 3 seconds. Find the time it takes to strike 12 times.
  73. A moneylender charges 25% per annum compound interest on a loan of Rs 4,800 for 2 years, while the borrower initially expected simple interest at…
  74. A tangent PAT touches a circle at point A (P and T lie on opposite sides of A along the tangent line). A chord AB is drawn from A such that ∠PAB =…
  75. Anil and Bharat started a cycle repair shop together. Anil began with an investment of Rs 36,000 and, after 8 months, decreased the investment to Rs…
  76. The sum of the digits of a three-digit number is 14. The hundreds digit is twice the units digit, and the units digit exceeds the tens digit by -2…
  77. A rectangular field is 90 m by 60 m. A path of uniform width 5 m is built around it (outside). Find the area of the path.
  78. A sum of ₹8,000 is divided among Mohan, Priya and Suresh in the ratio 5 : 9 : 2. What is the share of Priya?
  79. A train leaves Amritsar for Chandigarh. It covers the first part of the journey in 4 hours at a speed of 63 km/h, and then covers the remaining part…
  80. Find the sum of the interior angles of a polygon having 8 sides.
  81. Simplify: √0.0121 + √1.21 + √121
  82. Vikas, a dealer, claims to sell at cost price but actually weighs only 700 g when he should weigh 1000 g. What is his gain percent?
  83. The radius of a circle is 42 cm. Find the area of the circle. (Use π = 22/7)
  84. From 8 men and 4 women, in how many ways can a committee of 5 be formed having exactly 2 women?