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Quantitative Aptitude questions with answers, page 14

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. Find the simple interest on ā‚¹13,500 at 6% per annum for 4 years.
  2. A man sold an article at a loss of 10\%. Had he sold it for ā‚¹90 more, he would have gained 8\%. Find the cost price.
  3. Find the sum of the first 76 odd natural numbers.
  4. Vikas spends 60% of his income and saves ā‚¹4000 every month. Find his monthly income.
  5. A boat's speed in still water is 15 km/h. It covers 36 km downstream and 24 km upstream, and it is found that the upstream trip takes 36 minutesā€¦
  6. Two schemes' growth factors are a = 7+4āˆš3 and b = 1/a. Find the value of aĀ²+bĀ².
  7. ā‚¹240 is divided between A and B in the ratio 7:9. Find B's share.
  8. During a sale, 50% of the items are sold at a profit of 35%, 30% of the remaining items are sold at a profit of 20% and the remaining items are soldā€¦
  9. A train travels from Chennai to Coimbatore via Vellore and Salem. It covers Chennai-Vellore (138 km) at 69 km/h, Vellore-Salem (160 km) at 80 km/hā€¦
  10. In parallelogram ABCD, angle A = (2x + 30)Ā° and angle C = (3x + 10)Ā°. Find angle A.
  11. A dispenser tank is full of 240 litres of pure liquid soap concentrate. 60 litres is withdrawn and replaced with water; this operation is carriedā€¦
  12. Manoj bought an article for ā‚¹300 and sold it at a gain of 20%. Find the selling price.
  13. A trapezium has parallel sides of 20 cm and 30 cm, and the distance between them (height) is 8 cm. Find the area of the trapezium.
  14. Express 7/8 as a decimal.
  15. Find the area of a circle with radius 112 cm. (Use Ļ€ = 22/7.)
  16. A rectangular field of length 220 m and breadth 150 m is divided among three sons in the ratio 2 : 3 : 5. If the land costs Rs 250 per sq m, findā€¦
  17. A clock loses 40 minutes in a day (24 hours). It was set right at 11 p.m. on a Sunday. After how many days will it show the correct time again?
  18. A monument was constructed in the year 1994. Exactly one year between 2050 and 2060 (both inclusive) will have a calendar identical to that of 1994ā€¦
  19. A sum of money was invested for 2 years. Compound interest was charged at 10% per annum for the first year and at 20% per annum for the second yearā€¦
  20. A right-angled triangle has legs of length 7 cm and 24 cm, and hypotenuse 25 cm. A circle is inscribed in the triangle, touching all three sidesā€¦
  21. If x + y + z = 10, xy + yz + zx = 31 and xyz = 30, then the value of xĀ³ + yĀ³ + zĀ³ is:
  22. A and B enter into a partnership with capitals in the ratio 7:5. After 8 months, A withdraws his capital entirely, while B continues for theā€¦
  23. In a three-digit number, the product of the digits is 60 and the sum of the digits is 13. If the hundreds digit is greater than the tens digitā€¦
  24. The true discount on a certain sum due in 3 years at 10% per annum is Rs. 700. Find the sum due (amount).
  25. A wedding hall arranges chairs in concentric rows around a stage, and the count of chairs in the first five rows is 2, 8, 18, 32 and 50 respectivelyā€¦
  26. A beats B by 45 m or 9 seconds in a race. If B's time to complete the race is 81 seconds, find the length of the race.
  27. A camp has food sufficient for 76 soldiers for 20 days. If 111 soldiers are there, for how many days will the food last?
  28. The average of the ages of 16 members present at a family gathering was calculated as 36 years. It was later found that one entry had been wronglyā€¦
  29. Find the next term: 20, 17, 12, 5, -4, ?
  30. Vijay, a trader in Guwahati, gives a customer buying stationery items the choice of either paying Rs. 3000 in cash today, or Rs. 3900 after 20ā€¦
  31. A boat is sailing towards the base of a lighthouse of height 259.81 m in a straight line at a uniform speed. The angle of depression of the boatā€¦
  32. A trader wants to prepare 30 kg of a mixture worth ā‚¹64/kg by mixing tea worth ā‚¹22/kg with tea worth ā‚¹102/kg. How much of the cheaper tea should heā€¦
  33. In a 100 m race, A gives B a start of 20 metres, and B gives C a start of 25 metres ā€” both resulting in dead heats. If A's speed is 8 m/s, what timeā€¦
  34. The average age of 15 students in a class is 25 years. The average age of 20 teachers is 45 years. Find the average age of all the students andā€¦
  35. What is the smallest 4-digit number which is exactly divisible by 9, 10 and 20?
  36. A cooperative of 40 farmers has a combined average land holding of 42 acres. Among them, 24 farmers (Group 1) have an average holding of 36 acresā€¦
  37. The true discount on a bill is Rs. 2175 and the banker's gain is Rs. 210. Find the banker's discount.
  38. Find the missing term in the series: 100, 121, ?, 169, 196
  39. 6 pens cost ā‚¹168. How many pens can be bought for ā‚¹336?
  40. If x = 3 sec A and y = 9 tan A, then the value of 81xĀ² āˆ’ 9yĀ² is:
  41. Find the simple interest on ā‚¹7,000 at 10% per annum for 1Ā½ years.
  42. A solid copper sphere of radius 6 cm is melted and drawn into a wire of diameter 0.2 cm. Find the length of the wire in metres.
  43. Find the fourth proportional to 9, 4, and 3.
  44. A bicycle is sold to one customer at a discount of 5% and to another at a discount of 40%. If the two customers paid amounts differing by ā‚¹560, whatā€¦
  45. In a division question, the divisor is 7 times the quotient and 3 times the remainder. If the remainder is 42, what is the dividend?
  46. From one vertex of a polygon, 28 diagonals can be drawn. Find the total number of diagonals in the polygon.
  47. Sunita travels from Amritsar to Jalandhar by bus at a speed of 80 km/h and returns from Jalandhar to Amritsar by the same route at a speed of 120ā€¦
  48. Neha bought an article for ā‚¹400 and sold it at a gain of 5%. Find the selling price.
  49. An isosceles triangle has two equal sides of 26 cm each and a base of 20 cm. Find its area.
  50. Express 7/40 as a decimal.
  51. The length and breadth of a rectangular field are in the ratio 7:4, and its perimeter is 396 m. Two paths of uniform width 5 m cross each other atā€¦
  52. Two tangents PA and PB are drawn from an external point P to a circle with centre O (radius r), touching the circle at A and B. If āˆ APB = 72Ā°, findā€¦
  53. A and B invest Rs. 2500 and Rs. 48000 respectively in a business. If the total profit is Rs. 8000, find A's share.
  54. When a number is increased by 110, it becomes 200% of itself. The number is:
  55. A car travels at 72 km/h. How far does it go in 5 hours?
  56. Meena goes from home to office at 21 km/h and returns by the same route at 28 km/h. What is the average speed for the whole journey?
  57. On a road map, 2 cm represents an actual distance of 35 km. Two junctions are 4 cm apart on the map. If a further 30 km link road connects theā€¦
  58. An uncle is 30 years older than his nephew. 8 years ago, the uncle's age was twice his nephew's age at that time. What is the nephew's present age?
  59. A cafe serves an average of 145 customers per day over 6 days. On the 7th day, it serves 215 customers. Find the average number of customers servedā€¦
  60. Sushma, a trader in Bhopal, gives a customer buying kitchenware the choice of either paying Rs. 4000 in cash today, or Rs. 4900 after 15 months withā€¦
  61. A trader wants to prepare 15 kg of a mixture worth ā‚¹56/kg by mixing tea worth ā‚¹48/kg with tea worth ā‚¹64/kg. How much of the cheaper tea should he use?
  62. In a 400 m race, A can give B a start of 80 m and C a start of 120 m. How much start can B give C in a 320 m race?
  63. Prakash bought 45 shares of a company quoted at ā‚¹184 each. Including the broker's commission, the total amount paid came to ā‚¹8383.86. If theā€¦
  64. The average age of 25 students in a class is 30 years. The average age of 15 teachers is 45 years. Find the average age of all the students andā€¦
  65. Find the sum of the first 40 terms of the arithmetic progression 6, 13, 20, ā€¦.
  66. Pipe A can fill a workshop cistern in 10 hours and pipe B can fill it in 14 hours. There is also a leak in the tank. When A, B and the leak are allā€¦
  67. The weights of 5 parcels at a post office ā€” four of the five values are 25, 29, 33, 37, and it is known that this fifth value is the SMALLEST of theā€¦
  68. The banker's discount on a bill due in 1 years at 4% per annum is Rs. 2775. Find the amount of the bill.
  69. A stock of food is enough for 300 students in a hostel for 59 days. If 290 more students join, for how many days will the same food last?
  70. In how many years will ā‚¹1,30,000 amount to ā‚¹1,48,200 at 7% per annum simple interest?
  71. A shopkeeper buys an article for Rs 960 and sells it at a profit of 15%. Find the selling price.
  72. 3 cups and 5 plates cost ā‚¹310, while 6 cups and 3 plates cost ā‚¹522. What is the cost of 3 cups and 2 plates?
  73. Find the sum of the first 69 odd natural numbers.
  74. A boatman whose speed in still water is 12 km/h takes 2 hours more to go 32 km upstream than to go the same distance downstream. What is the speedā€¦
  75. In an examination, the number of students who passed (P) and who failed (F) are such that āˆšP : āˆšF = 4 : 3, and P exceeds F by 63. Find the totalā€¦
  76. The present ages of three friends X, Y and Z are in the ratio 2:3:4. Eight years ago, the sum of their ages was 48 years. Find Z's present age.
  77. A train 220 m long running at 63 km/hr crosses a man walking in the same direction at 4 km/hr. Find the time taken to cross him.
  78. If āˆš6241 = 79, find the value of āˆš62410000 + āˆš62.41.
  79. In an isosceles triangle, the equal sides are 51 cm each and the altitude to the base is 45 cm. Find the area of the triangle.
  80. The average price of prawns at a landing centre over 5 weeks was Rs 452 per kg. The average for the first three weeks was Rs 440 and for the lastā€¦
  81. How many 4-digit (odd) numbers can be formed using the digits 1, 2, 4, 5, 6, 8, 9 without repetition?
  82. An organisation printed extra copies of its 2008 leap-year calendar, planning to store and reuse them later instead of reprinting. In which futureā€¦
  83. A sum of ā‚¹39,000 becomes ā‚¹51,909 in 3 years at compound interest, compounded annually. What is the rate of interest per annum?
  84. Meena and Manoj can complete a work alone in 4 and 12 days respectively. They begin together, but Meena leaves a few days before completion, andā€¦
  85. From an external point P, a tangent PT touches a circle at T, and a secant from P cuts the circle. The secant meets the circle at G (nearer to P)ā€¦
  86. A, B and C invest Rs. 5500, Rs. 9500, and Rs. 19500 respectively in a business. If the total profit is Rs. 5000, find B's share.
  87. The marked price of an article is ā‚¹1840. A discount of 15% is given. Find the selling price.
  88. Using log10 2 = 0.301 and log10 3 = 0.477, find the value of logā‚‚12 (nearest to two decimal places).
  89. Find the present worth of a sum of Rs. 6500 due in 2 years at 15% per annum simple interest.
  90. A man covers a certain distance at 20 km/hr and returns the same distance at 80 km/hr. Find his average speed for the whole journey.
  91. On an airport walkway 196 m long, the speed of the walkway and the walking speed of a passenger using it are in the ratio 2:5. Walking along it inā€¦
  92. The sum of the present ages of Priya and Arjun is 76 years. 6 years ago, Priya was three times as old as Arjun. What is the present age of Priya?
  93. 7 years ago, the average age of a group of six colleagues of 6 members was 30 years. No member has left or joined the group of six colleagues sinceā€¦
  94. Find the next term: 3, 10, 29, 66, ?
  95. Deepak holds a promissory note of Rs. 3120 due 4 years from now. If money is worth 6% per annum, what is the true discount on this promissory note?
  96. Two boats are approaching a lighthouse of height 100 m from opposite sides, both in line with its base. At a certain moment, the angles ofā€¦
  97. A trader wants to prepare 50 kg of a mixture worth ā‚¹68/kg by mixing tea worth ā‚¹58/kg with tea worth ā‚¹78/kg. How much of the cheaper tea should he use?
  98. Rays OA, OB, OC, OD, OE are drawn from a point O, in order around O. It is given that āˆ AOB = āˆ BOC = 42Ā°, āˆ COD = (2x + 10)Ā°, āˆ DOE = (x + 30)Ā°, andā€¦
  99. A person invests Rs. 56000 in a stock quoted at Rs. 104 (face value Rs. 100). Find the number of shares purchased.
  100. The average of 4 numbers is 68. If 3 of the numbers are 14, 79, 70, find the remaining number.