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Quantitative Aptitude questions with answers, page 13

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. PYQA bike moving at a speed of 45 km/hr covers a certain distance in 4 hours. If its speed is reduced by 20 km/hr, in what time will it cover the sameā€¦
  2. PYQA person loses 35 percent on selling a book for Rs. 2860. At what price should he sell the book to earn a profit of 20 percent?
  3. PYQFind the LCM of 1.2, 1.8, 2, 2.5.
  4. PYQIf a certain sum of money becomes thrice of itself in 7 years 3 months at simple interest, then what will be the annual rate of interest?
  5. PYQThe average of five numbers is 75. The average of the first two numbers is 6 times the average of the last three numbers. What is the sum of theā€¦
  6. PYQAt what rate per annum will Rs. 33,000 yield a compound interest of Rs. 31,680 in 2 years, interest being compounded yearly?
  7. PYQConvert 0.4277Ģ… into a fraction.
  8. PYQWhat is the value of 12 Ć· 3 of 4 - 88 + 75 + 6 Ɨ 2 of 15?
  9. PYQPresent age of A and B are a and (a+4). 4 years ago ratio A:B=6:7. C's age=B's age+10. x years ago, B:C=3:4. Average present age of A,B,C,D=40. Findā€¦
  10. The sum of the digits of a three-digit number is 11. The tens digit equals the units digit, and the units digit exceeds the hundreds digit by 4ā€¦
  11. Simplify: 6.71 x 3.8 - 3/5 = ?
  12. A factory's monthly output Q (in tonnes) is such that the cube root of Q, when increased by 25% of itself, equals 15. Find Q.
  13. In quadrilateral ABCD, the four angles (in degrees) are angle A = (x), angle B = (x + 20Ā°), angle C = (2x āˆ’ 10Ā°), angle D = (x + 30Ā°). Find angle C.
  14. If āˆš9216 = 96, find the value of āˆš921600 + āˆš92.16.
  15. Find the distance between the points A(-7, 4) and B(1, -11).
  16. paint costing Rs 20 per litre is mixed with a costlier variety in the ratio 5:3 to get a mixture worth Rs 32 per litre. Find the cost price of theā€¦
  17. How many 3-digit (odd) numbers can be formed using the digits 1, 2, 3, 4, 5, 7, 9 without repetition?
  18. Find the volume of a sphere with radius 3 units. (Use pi = 22/7)
  19. The sum of the first 20 terms of the arithmetic progression 3, 7, 11, 15, ā€¦ is
  20. A square-shaped plot has a side of 30 m. Fencing it costs Rs. 20 per metre, and paving its floor costs Rs. 15 per sq. m. Find the total cost of both.
  21. The calendar of the year 2072 can be used again for which year?
  22. The compound interest on a sum for 2 years at 15% per annum (compounded annually) is Rs. 3800. Find the principal.
  23. 11 men can complete a work in 18 days. If 1 man does the work of 2 women, find the time taken by 6 women to complete the same work.
  24. A chord of length 48 cm is drawn in a circle of radius 40 cm. Find the perpendicular distance of the chord from the centre of the circle.
  25. Two numbers are in the ratio 5:8 and their difference is 54. Find the larger number.
  26. In the series 7, 49, ?, 10192, each number is obtained by multiplying the previous number by the sum of its digits. What number will replace theā€¦
  27. A car travels at 54 km/h. How far does it go in 3 hours?
  28. A bacteria culture starts with 1 bacterium in a petri dish and doubles in number every hour. How many bacteria will be present after 7 hours?
  29. The present ages of Vikas, Rekha and Suresh are in the ratio 3 : 4 : 5. After 10 years, the sum of their ages will be 66 years. What is theā€¦
  30. A geometric progression has first term 5 and common ratio 2. Find its 12th term.
  31. A debt is to be discharged by two equal installments (equal face values), one due after 1 year and the other after 3 years, at 8% per annum. If theā€¦
  32. From a point A on the ground, the angle of elevation of the top of a tower is Īøā‚, where tan Īøā‚ = 1/1. From another point B, 24 m farther from theā€¦
  33. A trader wants to prepare 15 kg of a mixture worth ā‚¹100/kg by mixing tea worth ā‚¹38/kg with tea worth ā‚¹108/kg. How much of the cheaper tea should heā€¦
  34. Three straight lines PQ, RS and EF all pass through the same point O, with rays OR and OE both lying between rays OP and OQ (in the order OP, ORā€¦
  35. On a 1.6 km circular track, two runners run in the same direction, starting together from the same point. The ratio of their speeds is 5:3. Theā€¦
  36. A is thrice as efficient as B and can complete a work 40 days before B. In how many days can A alone complete the work?
  37. The average of 4 numbers is 71. If 3 of the numbers are 16, 85, 14, find the remaining number.
  38. Find the LCM of 16, 20, 30 and 54.
  39. Find the value of 1Ā³ + 2Ā³ + 3Ā³ + ā€¦ + 30Ā³.
  40. The temperatures (in Ā°C) recorded in 5 cities on a winter day ā€” four of the five values are 11, 15, 19, 23, and it is known that this fifth value isā€¦
  41. The true discount on a certain sum due in 1 years at 15% per annum is Rs. 175. Find the banker's gain, using BG = (TDxRxT)/100.
  42. Find the missing term in the series: 169, 196, ?, 256, 289
  43. Simplify: 8.14 x 4.3 - 3/4 = ?
  44. In an examination Sunita scored 35% and failed by 80 marks, while Vikas scored 55% and passed by 80 marks. What is the maximum marks of theā€¦
  45. Find the area of a triangle with base 76 units and height 10 units.
  46. A sold an item to B at 10% profit, B sold it to C at 25% profit, C sold it to D at 20% loss. D paid Rs.396. A's cost price (Rs.) is
  47. Find the fourth proportional to 19, 15, and 12.
  48. A person sold an article at a loss of 12%. If he had sold it for ā‚¹80 more, he would have gained 5%. Find the cost price of the article.
  49. A train 160 m long running at 54 km/hr crosses a man walking in the opposite direction at 7 km/hr. Find the time taken to cross him.
  50. In rectangle ABCD, diagonals AC and BD intersect at O. Angle AOB = (6x + 5)Ā° and angle BOC = (3x + 40)Ā°. Find angle BOC.
  51. Asha, a dealer, claims to sell at cost price but actually weighs only 710 g when he should weigh 1000 g. What is his gain percent?
  52. A 4-character code is formed using 4 available symbols P, Q, R, S (repetition allowed), such that the code either starts with P or ends with P (orā€¦
  53. The present ages of a father and his son are in the ratio 7 : 2. After 8 years the ratio becomes 9 : 4. The father's present age is
  54. A community garden is 64 m long and 44 m wide. Two paths of the same uniform width run across it, crossing at the centre ā€” one along the length andā€¦
  55. 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 = 56Ā°, findā€¦
  56. Three partners invest ā‚¹12,000, ā‚¹18,000 and ā‚¹24,000 respectively for a full year in a bakery. If the total profit is ā‚¹27,000, what is the share ofā€¦
  57. When a number is divided by 6, the remainder is 4 and the quotient obtained is Q. When Q is divided by 5, the quotient is 7 and the remainder is 3ā€¦
  58. If log 2 = 0.3010 and log 3 = 0.4771, then the value of log 16 is:
  59. In triangle ABC, D and E are points on sides AB and AC respectively such that DE is parallel to BC. If AD = 7, DB = 14 and AE = 5, find the lengthā€¦
  60. At a village fair, the number of tickets sold each day of the first four days was 150, 170, 190 and 210, rising by a fixed amount daily. How manyā€¦
  61. A car travels at 90 km/h. How far does it go in 3 hours?
  62. A pilgrim's journey covers 720 km in total. He travels 1/6 of the distance on foot and 5/12 of the distance by bus, covering the rest by car. Howā€¦
  63. The present ages of a mother and daughter add up to 70 years. The mother is 14 years older than the daughter. What is the mother's present age?
  64. Yusuf rides a truck from the quarry to the depot and back, covering the same distance in both directions. Going, he maintains a speed of 44 km/hā€¦
  65. Find the next term: 1, 27, 125, 343, ?
  66. Pooja holds a hundi of Rs. 1035 due 3 months from now. If money is worth 12% per annum, what is the true discount on this hundi?
  67. What will come in place of the question mark (?) in the following equation? āˆš9 Ɨ āˆš256 + ? = 23 Ɨ 8
  68. Lines QR and ST are parallel to each other. A transversal UV cuts line QR at point W and line ST at point X (points Q, R are the left and right endsā€¦
  69. The ratio of speeds of Ajay and Bharat is 7 : 6. In a race of 819 m, if Ajay finishes the race, by how many metres does he beat Bharat?
  70. The average weight of 10 students increases by 1 kg when one student weighing 61 kg is replaced by a new student. Find the weight of the new student.
  71. Find the LCM of 9, 15 and 25.
  72. Factory Unit 1 has 40 workers with an average daily wage of ā‚¹380, and Unit 2 has 20 workers with an average daily wage of ā‚¹680. Find the combinedā€¦
  73. A car travels 60 km in 45 minutes at a constant speed. How far will it travel in 75 minutes at the same speed?
  74. Simplify: 12 x 9 - 8 / 4 + 4 = ?
  75. A solid right circular cone of base radius 9 cm and height 32 cm is melted and recast into a solid right circular cylinder of base radius 6 cm. Findā€¦
  76. Two trains cover the same distance between two stations. The ratio of their speeds is 3 : 4, and the first train takes 2 hours more than the secondā€¦
  77. A trader marks his goods x% above the cost price. He then allows two successive discounts of 20% and 10% on the marked price. If he still makes aā€¦
  78. A train covers 80 km at a certain speed and then covers the next 120 km at a speed 20 km/h more than the first. If the total time taken is 4 hoursā€¦
  79. The four angles of quadrilateral EFGH, taken in order at vertices E, F, G, H, are in the ratio 2:3:5:8. Find angle H.
  80. Find the volume of a cuboid with length 8 cm, breadth 6 cm, and height 5 cm.
  81. By selling an article for Rs. 4075, a shopkeeper makes a profit of 30%. Find the cost price.
  82. A society has 12 eligible members, out of whom a panel of 3 members is to be selected. In how many ways can the panel be formed?
  83. A path of uniform width runs all around the outside of a rectangular field that is 72 m long and 48 m wide. If the area of the path is 1024 mĀ², findā€¦
  84. A right-angled triangle has legs of length 10 cm and 24 cm, and hypotenuse 26 cm. A circle is inscribed in the triangle, touching all three sidesā€¦
  85. If a + b = 14 and a - b = 6, find the value of aĀ³ + bĀ³.
  86. Two trains of length 150 m and 120 m run on parallel tracks in opposite directions at speeds of 54 km/hr and 36 km/hr respectively. Find the timeā€¦
  87. A starts a business with Rs. 15500 and after 8 months, B joins with Rs. 17000. At the end of the year, if the total profit is Rs. 8500, find A'sā€¦
  88. On a customs entry number, the digits sum to 19. The hundred's digit is twice the unit's digit, and the tens digit exceeds the unit's digit by 3ā€¦
  89. In triangle PQR, PQ = 25 cm, PR = 21 cm and QR = 14 cm. S is the midpoint of QR. Find the length of the median PS.
  90. A sum of Rs. 7500 due at 5% per annum has a true discount of Rs. 1730.77. Find the time period.
  91. Two cars start from the same point and travel in the same direction at 90 km/hr and 65 km/hr. Find the time after which they will be 100 km apart.
  92. A contractor hired 2 teams of 5 workers each, and every worker was paid for 3 days of work at Rs 12 per day. Separately, 4 independent workersā€¦
  93. The average number of runs scored by 11 players of a cricket team is 36.5. A player who scored 29 runs is replaced by a new player, and the averageā€¦
  94. Ray OL is perpendicular to ray ON. Rays OE and OF lie between OL and ON, in the order OL, OE, OF, ON, such that angle LOE = 35Ā° and angle EOF = 40Ā°ā€¦
  95. In a race of 200 m, the speeds of A and B are in the ratio 12:6. Find by how many meters A beats B.
  96. The average weight of 25 persons decreases by 1 kg when a person is replaced by a new person weighing 76 kg. Find the weight of the person who left.
  97. Find the sum of the first 10 terms of the arithmetic progression 12, 15, 18, ā€¦.
  98. The mean of 40 observations was found to be 65. Later it was discovered that an observation 2 was wrongly read as 22. Find the correct mean.
  99. The true discount on a bill is Rs. 1200 and the banker's gain is Rs. 15. Find the banker's discount.
  100. 10 notebooks cost ā‚¹420. How many notebooks can be bought for ā‚¹588?