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Quantitative Aptitude questions with answers, page 17

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. If 6x + 7y = 50 and 5x + 3y = 26, find the value of x × y.
  2. A man can row at 20 km/h in still water and the speed of the stream is 8 km/h. If he takes 5 hours to go to a certain place and return, find the…
  3. A sum of ₹2,800 is divided among Sanjay, Ravi and Priya in the ratio 2 : 1 : 5. What is the share of Ravi?
  4. A furniture shop bought a wooden study table for Rs. 1200 and marked it 30% above the cost price. It was sold after allowing a 10% discount on the…
  5. Two positive integers x and y are such that log₁₀x + log₁₀y = 4, and x : y = 25 : 4. Find the value of x + y.
  6. In triangle ABC, D and E are points on AB and AC respectively such that DE is parallel to BC, and AD : DB = 1 : 4. If BC = 30 cm, find the length of…
  7. Convert a speed of 17 m/s into km/hr.
  8. If 21 men working 6 hours a day can complete 1 unit(s) of work in 18 days, in how many days can 7 men working 8 hours a day complete 2 unit(s) of…
  9. The average age of 15 persons increases by 2.5 years when a person aged 27 years is replaced by a new person. Find the age of the new person.
  10. A trade bill worth Rs. 1200 is due 3 years from now. If the prevailing interest rate is 8% per annum, find the present worth of the sum due, i.e…
  11. Two towers of equal height stand on opposite sides of a straight road that is 160 m wide. From a point on the road between the two towers, the…
  12. What will come in place of the question mark (?) in the following equation? √25 × √25 + ? = 36 × 10
  13. Lines l and m are parallel. A transversal p cuts l at point J and m at point K. A second transversal q, parallel to p, cuts l at point L (lying 5 cm…
  14. Leela, Meena and Nisha run a 450 m race at constant speeds of 9 m/s, 8.5 m/s and 8 m/s respectively. By how much distance does the winner beat the…
  15. Rekha holds 2750 shares of face value ₹20 each. If the company declares a dividend of 10%, what is Rekha's dividend income?
  16. Find the LCM of 14, 15 and 30.
  17. In an arithmetic progression the 5th term is 31 and the 11th term is 67. What is the sum of its first 30 terms?
  18. At the same constant speed, 3 patrol jeeps running 9 hours a day cover 1080 km in 4 days. Find the number of days needed for 6 such patrol jeeps…
  19. The diagonal of a cuboid is 11 cm. If its length is 6 cm and its height is 7 cm, find its breadth.
  20. A jeweller calculates a design difference as 5√2 − 2√5 (in grams). Using √2 = 1.414 and √5 = 2.236, find this value to 3 decimal places.
  21. A sum of ₹4,160 is divided among Asha, Amit and Rekha in the ratio 8 : 1 : 4. What is the share of Amit?
  22. 2400 bananas were bought at ₹1,210 per hundred and sold at a total profit of ₹5,360. What was the selling price per dozen?
  23. Two trains, 132 m and 168 m long, run on parallel tracks in the same direction at 60 km/h and 42 km/h respectively. In how much time will the faster…
  24. Simplify: ∛0.000729 + ∛0.729 + ∛729
  25. A dishonest trader uses a weight of 1060 g while buying (in place of 1000 g) and a weight of 840 g while selling (in place of 1000 g), charging the…
  26. Find the volume of a sphere with radius 17 units. (Use pi = 22/7)
  27. A shopping-mall escalator is moving upward, helping a customer who walks up it at 2 m/s. Exactly halfway up (by distance), the escalator suddenly…
  28. A tank is full of water. First, 2/5 of the water is removed. Then 1/4 of the remaining water is removed. Then half of what is left is removed. After…
  29. 4 years ago, the ratio of ages of two shareholders, Sanjay and Tarun, was 6:4. 7 years from now, this ratio will become 4:3. Find the sum of their…
  30. A shop's weekly sales record shows 7 daily entries with an average of Rs 12,500. On auditing, it was discovered that there are actually only 6…
  31. At a certain time of the day, a flagstaff of height 8 m casts a shadow of 5 m on the ground. At the same time, the tree nearby casts a shadow of 15…
  32. Find the value of 80% of 0.8 + 7.5 ÷ 1.25 + 2.5 × 15
  33. The trekker is initially moving in the direction S 70° W (i.e., a bearing of 250° measured clockwise from North). The trekker then turns 90°…
  34. In a race of 950 m, the speeds of A and B are in the ratio 10:8. Find by how many meters A beats B.
  35. The average of 3 numbers is 70. If 2 of the numbers are 22, 43, find the remaining number.
  36. Find the LCM of 54, 72 and 120.
  37. Batch 1 of a coaching institute has 50 students with an average score of 55 marks, and Batch 2 has 30 students with an average score of 75 marks in…
  38. If 7 notebooks cost ₹630, what is the cost of 16 notebooks?
  39. Simplify: 2.64 x 3.1 - 1/5 = ?
  40. A hemispherical water tank has a diameter of 504 cm. Find its volume. (Use π = 22/7)
  41. A sum of Rs.25,200 is divided among X, Y, Z such that X gets 1/3 of what Y and Z together get, and Y gets 2/5 of what X and Z together get. Z's…
  42. Rs 7,200 is divided among X, Y and Z in the ratio 2 : 5 : 9. What is the share of Y?
  43. A train 225 m long crosses a pole in 9 seconds. Find the speed of the train in km/hr.
  44. In rhombus EFGH, diagonals intersect at O. If OA = 33 cm and OB = 56 cm, find the length of side AB.
  45. Simplify: √0.0036 + √0.36 + √36
  46. Ravi, a dealer, claims to sell at cost price but actually weighs only 680 g when he should weigh 1000 g. What is his gain percent?
  47. Simplify: 105.66 + 44 − 19 + 151.6
  48. Using the digits 1, 3, 5 and 7, how many 4-digit numbers can be formed if repetition of digits is allowed?
  49. A rectangular ground has length 100 metres and breadth 240 metres. A path of uniform width 2 metres is to be paved along its diagonal at a cost of…
  50. Sunita invests ₹2000 at 10% per annum compound interest, compounded annually. Find the amount after 3 years.
  51. 14 men can complete a work in 6 days. If 1 man does the work of 2 women, find the time taken by 6 women to complete the same work.
  52. The length of the transverse common tangent between two non-overlapping circles of radii 50 cm and 45 cm is 168 cm. Find the distance between the…
  53. Given a = 4 + √15, determine the value of a³ + 1/a³.
  54. A invests Rs. 15500 for 9 months and B invests Rs. 9500 for 6 months in a business. If the total profit is Rs. 17500, find A's share.
  55. If log (x − 2) = 3, then the value of x is:
  56. In triangle ABC, D lies on AB and E lies on AC such that DE is parallel to BC. If AD = 5, DB = 15 and EC = 18, find the length of AE.
  57. In a wedding hall, chairs are arranged in rows such that each row further from the stage has more chairs than the one before. The first four rows…
  58. A car travels at 60 km/h. How far does it go in 4 hours?
  59. An athlete runs at 7.2 km/h. How many seconds will he take to go once round a square field of side 35 m?
  60. The number of virus-infected cells in a lab sample doubles every hour. If the starting count is 9, what will the count be after 6 hours (i.e., after…
  61. The present ages of Deepak and his younger brother are in the ratio 5:3. Deepak is 18 years older than his brother. Find Deepak's present age.
  62. Find the next term: 6, 25, 62, 123, ?
  63. A hardware trader holds a hundi of Rs. 2000 due 9 months from now. If money is worth 12% per annum, what is the true discount on this hundi?
  64. From the top of a building of height 80 m, the angle of depression of a scooter approaching the base along a straight level road is first observed…
  65. Simplify: (1.2 × 1.2 × 1.2 + 0.4 × 0.4 × 0.4) ÷ (1.2 × 1.2 − 1.2 × 0.4 + 0.4 × 0.4)
  66. A trader wants to prepare 40 kg of a mixture worth ₹66/kg by mixing tea worth ₹54/kg with tea worth ₹76/kg. How much of the cheaper tea should he use?
  67. Rays OM, ON, OK, OL, OJ are drawn from a point O, in order around O. It is given that ∠MON = ∠NOK = 47°, ∠KOL = (2x + 5)°, ∠LOJ = (x + 25)°, and…
  68. A person invests Rs. 34500 in a stock quoted at Rs. 118 (face value Rs. 100). Find the number of shares purchased.
  69. The average of 5 numbers is 67. If 4 of the numbers are 41, 76, 88, 17, find the remaining number.
  70. In the number 90327, what is the difference of the place values of the digits 3 and 2?
  71. Three quality-testing batches gave the following readings — Batch 1: 8 samples, average reading 90; Batch 2: 12 samples, average reading 70; Batch…
  72. The true discount on a bill is Rs. 1250 and the banker's gain is Rs. 205. Find the banker's discount.
  73. Find the missing term in the series: 64, 81, ?, 121, 144
  74. x and y satisfy 2x + 3y = 23 and 5x + 4y = 44. Find the value of x.
  75. Find the total surface area of a cube of edge 13 cm.
  76. Two numbers are in the ratio 7:4. If each number is increased by 15, the ratio becomes 5:3. Find the smaller of the two original numbers.
  77. In a right-angled triangle, the hypotenuse is 25 cm and one leg is 15 cm. The altitude from the right angle meets the hypotenuse at D. Find the…
  78. A train 180 m long crosses a platform 180 m long in 14.4 seconds. Find the speed of the train in km/h.
  79. A cylindrical water tank has a base radius of 7 m and height 10 m. Water is pumped into it at a rate of 22000 litres per minute. How long will it…
  80. The speed of a boat in still water is 21 km/hr and the speed of the stream is 4 km/hr. Find the upstream speed of the boat.
  81. Find the area of a triangle with base 52 units and height 61 units.
  82. A hollow iron roller, length 98cm, girth 176cm, thickness 4cm. Volume of metal (cu.cm) is
  83. ₹260 is divided between A and B in the ratio 5:8. What is A's share?
  84. A train travelling at 72 km/h overtakes a man cycling in the same direction at 12 km/h. If the train is 210 m long, how much time does it take to…
  85. In parallelogram ABCD, AB = 13.5 cm. Find the length of CD.
  86. Simplify: √0.0025 + √0.25 + √25
  87. In the coordinate plane, W(17, 4), X(14, 13), Y(11, 13) and Z(4, 5) are the vertices of quadrilateral WXYZ, listed in order. Find its area.
  88. The cost price of 43 articles is equal to the selling price of 33 articles. Find the gain percent.
  89. The length and breadth of a rectangle are 16 cm and 12 cm respectively. Find the length of its diagonal.
  90. The ratio of the present ages of P and Q is 4:7. After 6 years, the ratio of their ages becomes 5:8. Find P's present age.
  91. A and B invest Rs. 1000 and Rs. 3500 respectively in a business. If the total profit is Rs. 26000, find A's share.
  92. In triangle ABC, D is a point on AB and E is a point on AC such that DE is parallel to BC. If AD = 9, AE = 6 and EC = 10, find the length of DB.
  93. A car travels at 36 km/h. How far does it go in 4 hours?
  94. During morning practice, a jogger covers 400 m in exactly 2 minutes at a constant pace. Find his speed in km/h.
  95. Two friends, Arjun and Bhanu, have present ages adding up to 53 years. Arjun is 9 years older than Bhanu. Find Bhanu's present age.
  96. The present average age of a group of cousins of 8 members is 36 years. What was the total age of all the members 6 years ago?
  97. The side of a rhombus is 20 cm and one of its diagonals is 24 cm. Find the area of the rhombus.
  98. A safety bonus of Rs 10,400 announced at a barytes mine is divided among three miners Kotaiah, Lingaiah and Mastan in the ratio 1/2 : 1/3 : 1/4…
  99. Find the area of a trapezium whose parallel sides are 18 cm and 12 cm, and the height is 10 cm.
  100. Find the value of 10% of 3.2 + 1.5 ÷ 0.5 + 0.25 of 2.5 × 4 + 0.5 × 4