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Quantitative Aptitude questions with answers, page 10

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. PYQThe simplified value of √225 + √0.04 − √4.84 is
  2. PYQIf the cost of 8 pens is ₹136, then find the cost of 12 such pens.
  3. PYQA dealer buys two articles X and Y for ₹700 each. He marks each of them at the same price. He sells X by giving two successive discounts of 60% and…
  4. PYQWhat sum of money (in ₹) will yield ₹720 as simple interest in 3 years at 6% per annum?
  5. PYQA quantity is first decreased by 12% and then again decreased by 8%. What is the overall percentage decrease?
  6. PYQWhat is the amount on ₹20,000 for six months at 12% annual interest, compounded quarterly?
  7. PYQIf cotθ = 1/√3, (0° < θ < 90°), then the value of (2 − sin²θ)/(1 + cos²θ) + (cosec²θ + sec²θ) is:
  8. PYQThe difference between the present ages of Juhi and Surbhi is 24 years. Five years ago from now, the sum of their ages was 66 years. If Juhi is…
  9. PYQA traveller moves from City A to City B at 48 km/h and returns at 60 km/h. If the total time taken for the whole journey is 9 hours, find the…
  10. PYQAarju starts a business with ₹55,000 and after 3 months, Bimla joins Aarju as her partner. After a year, the profit is divided in the ratio 8 : 9…
  11. PYQPipe A can fill a tank in 12 hours, pipe B in 15 hours, and an outlet C can empty it in 20 hours. A and B are opened together for 5 hours, and then…
  12. PYQA hollow cylindrical pipe has an external radius of 7 cm, internal radius of 6 cm, and height of 20 cm. Find the total surface area of the pipe…
  13. PYQWhich number, when added to each of the numbers 2, 3, 11 and 13, will make the resulting numbers in proportion?
  14. PYQThe mean of a data is 47 and its median is 61. The mode (using empirical relation) of the data is:
  15. PYQIf a + b + c = 13 and ab + bc + ca = 4, then what is the value of ab(a + b) + bc(b + c) + ca(c + a) + 3abc?
  16. PYQThe sum of the present ages of a father and his son is 60 years. Five years ago from now, the product of numerical values of their ages was 525…
  17. PYQIf 9A7B is divisible by 55, find A + B.
  18. PYQIf cotθ = 1/√3, (0° < θ < 90°), then the value of (2 − sin²θ)/(1 + cos²θ) + cosec²θ − sec²θ is:
  19. PYQThe length of a diagonal of a rectangular park is 25 meters, and that of one of its sides is 15 meters. Find the perimeter of the park.
  20. PYQWhen one-third of a number is increased by 25, the result is 100. Find the sum of the digits of the original number.
  21. PYQThe difference between the present ages of Ayushi and Nidhi is 21 years. Five years ago from now, the sum of their ages was 83 years. If Ayushi is…
  22. PYQA dealer buys two articles X and Y for ₹800 each. He marks each of them at the same price. He sells X by giving two successive discounts of 73% and…
  23. PYQLalit deposits ₹42,000 in his account that pays an annual interest of 20% compounded half yearly. Calculate the total amount in his account after…
  24. PYQIf the fourth proportional to 2x, 3x, and 12 is y, find y.
  25. PYQIf the product of two numbers is 98,304 and their HCF is 128, then find the LCM of the numbers.
  26. PYQA number when increased by 110%, gives 3570. The number is:
  27. PYQMr. John spent 20% of his monthly income on food and 20% on children's education. 40% of the remaining income, he spent on shopping and transport…
  28. PYQWhat sum of money (in ₹) will yield ₹720 as simple interest in 3 years at 8% per annum?
  29. PYQWhat sum of money (in ₹) will yield ₹700 as simple interest in 2 years at 8% per annum?
  30. PYQIn a class, there are 36 boys and 24 girls. By what percentage should the number of girls be increased so that it becomes equal to the number of boys?
  31. PYQWhen one-third of a number is increased by 10, the result is 65. Find the sum of the digits of the original number.
  32. PYQIn a family, the sum of the ages of a father and son is 50 years. 10 years from now, the difference in their ages will be 20 years. Find the ratio…
  33. PYQWhich of the following numbers is divisible by both 17 and 13?
  34. PYQA cylindrical rod has an outer curved surface area of 7900 cm². If the length of the rod is 3 cm, then the outer radius (in cm) of the rod, correct…
  35. PYQIf 40 pages are printed in 5 minutes by a printer, how many pages will be printed in 3 hours?
  36. PYQIf a + b = 12 and ab = 8, then the numerical value of (a/b + b/a) will be:
  37. PYQG is the centroid of the equilateral triangle ABC. If AB = 36 cm, then length (in cm) of AG is:
  38. PYQFind the value of 38 − [27 − (90 ÷ 5 − (12 − 18 ÷ 6) ÷ 3)].
  39. PYQA dealer buys two articles X and Y for ₹3,400 each. He marks each of them at the same price. He sells X by giving two successive discounts of 10%…
  40. PYQTwo persons A and B start from the same point. A walks at 5 km/h. After 't' hours B starts and catches A after 2 hours of his own walking. If B's…
  41. PYQGiven that 74^0.45 = x, 74^0.12 = y and x^z = y^2, then the value of z is close to:
  42. PYQA, B, and C invested money in the ratio of 2 : 3 : 4 for periods in the ratio of 6 : 4 : 3, respectively. If the total profit is ₹1,32,000, what is…
  43. PYQThe average age of six girls increases by four months, if a 12-year old girl is replaced by a new girl. The age of the new girl is:
  44. PYQDuring a sale, 44% of the goods are sold at a profit of 47%. Of the remaining goods, 25% are sold at a profit of 22%, and the rest are sold at a…
  45. PYQThe salary of Mina is ₹80,000. Out of which she deposits x% amount at 15% simple interest. If the accumulated amount for the money deposited after 3…
  46. PYQFind the third proportional to a³ − b³ and a² + b² + ab, when a = 16 and b = 12.
  47. PYQA bus at 40 km/hr completes a journey in 18 hours. At what speed will it cover the same distance in 16 hours?
  48. PYQSum of present ages of A,B,C is 283 years. 17 years ago, ratio was 10:8:11. Find present age of C.
  49. PYQCP of an article is ₹440, MP is ₹660. Seller allows 20% discount on MP. Find profit %.
  50. PYQWeighted marks: Math(0.3,85), History(0.2,90), Chemistry(0.4,78), English(0.1,95) in Sem-1. In Sem-2, Math & Chemistry marks +5, History & English…
  51. PYQPipe A fills a tank in 24 hrs; pipe B empties it in 28 hrs. Both opened together — time to fill two-thirds of the tank?
  52. PYQ120L mixture, milk:water = 2:3. 40L removed and replaced with milk; process repeated once more. Find final milk quantity.
  53. PYQFour discount schemes: (1) successive 40% & 30%; (2) Buy5 get3 free; (3) Buy8 get5 free; (4) Buy4 get6. Find average discount (2 decimals).
  54. PYQDavid's sale grows 5% in year 1 and 25% in year 2, reaching ₹1,68,000 now. What was his sale two years ago?
  55. PYQA man buys 9 identical articles for ₹18. If he sells each for ₹2.9, find profit %.
  56. PYQCost of 3 pens + 7 pencils = ₹84; cost of 8 pens + 3 pencils = ₹177. Find cost of 3 pens + 3 pencils.
  57. PYQSimplify: (27/216)^(2/3) × (512/729)^(−2/3) ÷ (2/7)^(−2)
  58. PYQBoat A (10 km/hr still water) travels downstream from P (stream 3 km/hr). 2 hrs later, Boat B (12 km/hr still water) starts from P downstream. Boat…
  59. PYQA person borrows ₹63,500 at 10% CI p.a. At the end of every year, pays ₹5,800. How much is still owed after two instalments?
  60. PYQItem at ₹500: +20%, then −10%, then −5%, then +2% service charge, then +12% GST. Find net change in final billed price vs ₹500.
  61. PYQIn a race, an athlete covers a distance of 336 metres in 112 seconds in the first lap. He covers the second lap of the same length in 56 seconds…
  62. PYQA trader gives 15% discount on the marked price of an article and gives 2 articles free for buying 16 articles and gains 36% in the entire…
  63. PYQA toy is marked at ₹295 with an initial discount of 20%. What further percentage discount should be given so that the final selling price becomes…
  64. PYQA sum of ₹10,00,000 is invested in a bank at 19% interest per annum compounded annually. On maturity, the amount payable becomes ₹16,85,159. Find…
  65. PYQThree types of oils are mixed: 100 litres of A, 85 litres of B and 65 litres of C. If the cost of the oils A, B and C per one litre are in the ratio…
  66. PYQI bought two trousers for ₹1,200. I sold the first one at a loss of 13% and the second at a gain of 12%. If, on the whole I made neither a loss nor…
  67. PYQRunner A can run 100 metres in 10 seconds, while Runner B runs the same distance in 12 seconds. In a 300-metre race, A gives B a head start of 20…
  68. PYQWhat is the cube root of (5√5 × 11√11) − (17√17) − (3√5 × √11 × √17)[√5 × √11 − √17]?
  69. PYQIf a^(x+y)·a^(x−y) = a⁵⁰, a≠1 and b^(2y+x)·b^((y−3x)/3) = (b⁷)⁴, b≠1, for what value of c, c³ = x^(3/2) + y³ + 7³ + 1?
  70. PYQ3 pens and 9 pencils cost ₹180 and 3 pens and 7 pencils cost ₹150. The cost of 8 pens and 4 pencils is:
  71. PYQKiran starts business with ₹41,000 and after 7 months, Zarina joins with Kiran as her partner. After a year, the profit is divided in the ratio 8…
  72. PYQManjit gets a 5% increase in his sale amount in the first year and a 25% increase in the second year, and with that his present sale is ₹1,59,600…
  73. PYQMr. X spends 25% income on house rent, 16% on food and medicines, three-fifth of house rent on education of children, 12% on future investment, 12%…
  74. PYQ8 men can dig a well 29 feet deep in 14 days. How many men can dig a well 58 feet deep in 2 days?
  75. PYQA school has fewer than 2000 students. Divided into groups of 9, 12, or 20, exactly 3 are always left over; divided into 21, none are left. Find the…
  76. PYQFind the difference in population 3 years ago and 2 years ago of a town whose current population is 3,70,000, increasing at 25% per year.
  77. PYQThe number of prime numbers lying between 351 and 358 is:
  78. PYQA trader bought 46 plates for ₹46. During transit, 23 broke. He sold the remaining at ₹3.20 each. Find the trader's profit.
  79. PYQA bus at 65 km/hr completes a journey in 10 hours. At what speed must it cover the same distance in 5 hours?
  80. PYQGopal's average in 12 papers is 83. Excluding highest (same in 2 papers) and lowest (same in 3 papers), remaining papers' average is 89, and…
  81. PYQA pipe fills a tank in 22 hours; another empties it in 33 hours. If both opened together, find the time (in hours) to fill 2/3 of the tank.
  82. PYQIn an organisation, men:women = 7:4. 5% women and 12% men are executives; of these, 40% (women) and 25% (men) are professionally qualified. Find %…
  83. PYQIf successive discounts of 10.5% and 20.25% are applied to a marked price of ₹1,00,000, what is the final selling price?
  84. PYQKirti starts business with ₹89,000; after 3 months Vaishnavi joins as partner. After a year, profit is divided 4:3. What is Vaishnavi's capital…
  85. PYQTwo years ago, average age of A, B, C was 23. After 2 years from now, average age of A and C will be 14. What will be B's age 7 years from now?
  86. PYQCost of 5 pens and 5 pencils is ₹95; cost of 2 pens and 7 pencils is ₹43. Find cost of 9 pens and 4 pencils.
  87. PYQA man receives ₹2,750/month salary and saves 68% of it. Find his monthly expenditure.
  88. PYQNaman borrows a sum of ₹3,48,020 at the rate of 8% per annum simple interest. At the end of the first year, he repays ₹15,090 towards return of…
  89. PYQA policeman noticed a thief at a distance of 500 metres. The policeman started running and the thief also started running at the same time. The…
  90. PYQIn an examination, 65% of the candidates passed in Hindi, 48% passed in English, and 15% of the candidates failed in both subjects. If 315…
  91. PYQIn an examination, 65% of the total students passed. If 420 students failed, find the total number of students who appeared in the examination.
  92. PYQIn an election between two candidates, 5% of the total votes cast were declared invalid. The winning candidate secured 60% of the valid votes. If…
  93. PYQIn an examination, 65% of the total candidates passed. If the number of failed candidates is 210, find the total number of candidates.
  94. PYQIn an examination, 60% of the candidates passed in Hindi, 45% passed in English, and 15% failed in both subjects. If 300 candidates passed in both…
  95. PYQIn an exam, 65% of candidates passed in Maths, 55% passed in Science, and 15% failed in both subjects. If 2800 candidates passed in both subjects…
  96. PYQIn an examination, 72% of the students passed in English and 68% passed in Mathematics, while 20% of the students failed in both the subjects. If…
  97. PYQIn a class, 70% of students passed in Maths and 50% passed in Science. If 35% of students passed in both subjects and 90 students failed in both…
  98. PYQIn an examination, a candidate must score 40% marks to pass. A student scored 185 marks and failed by 35 marks. What is the maximum marks of the…
  99. PYQA shopkeeper marks his goods 40% above the cost price and allows a discount of 25% on the marked price. Find his profit percentage.
  100. PYQA shopkeeper marks his goods 40% above the cost price and then allows a discount of 15% on the marked price. Find his profit percentage.