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Quantitative Aptitude questions with answers, page 4

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. PYQTwo banks, A and B, offered loans at 3.5% and 6.5% per annum, respectively. Ashish borrowed an amount of ₹3,40,000 from each bank. Find the positive…
  2. PYQThree positive numbers are in proportion such that the ratio of the first number to the second number is the same as the ratio of the second number…
  3. PYQThe price of an article is increased by 20%. In the next step, it is decreased by x% of the new price. Finally, the price is increased by 10% of the…
  4. PYQIf the mean proportional between x and 36 is 12, find x.
  5. PYQA man bought an article and sold it at a profit of 15%. If he had bought it at 25% less cost price and sold it for ₹294 less than the original…
  6. PYQA bus travels 90 km at 45 km/h, 120 km at 60 km/h, and 150 km at 75 km/h. What is the average speed of the bus for the entire journey?
  7. PYQPipes A and B can fill a tank in 12 hours and 15 hours, respectively. A third pipe C can empty the full tank in 20 hours. If A and B are opened…
  8. PYQArun sold an article for ₹1,786.40 and incurred a loss of 12%. At what price should he sell the article to earn a profit of 14%?
  9. PYQThe cost of 5 chairs and 3 tables is ₹12,500, while the cost of 3 chairs and 5 tables is ₹15,500. Find the cost of 2 chairs and 2 tables.
  10. PYQA specialized printing machine can print 2400 pages in 1 hour and 20 minutes. At this steady rate, how many pages can the machine print in 45 minutes?
  11. PYQThree numbers are in the ratio 9 : 7 : 5, and their LCM is 2205. Their HCF is: 8625
  12. PYQWhat sum (in ₹) will earn a simple interest of ₹1,440 in 2 years at 16% per year rate of interest?
  13. PYQIf the mean of the following data is 40, find the missing frequency. x 10 20 30 40 50 60 frequency 2 3 1 4 f 4
  14. PYQFind the sum of the surface areas of three spheres of radii 2 cm, 3 cm and 6 cm. ![EN](/images/pyq/rrb-ntpc/RRB_NTPC_PYQ_18June_Shift2/images/en_18Ju…
  15. PYQAn article is marked at ₹3,000. The shopkeeper offers successive discounts of 10% and 20%. What is the final selling price of the article?
  16. PYQFind the mode for the following distribution. CL 40-45 45-50 50-55 55-60 60-65 65-70 70-75 75- Frequency 4 4 13 5 6 5 2 1
  17. PYQIf the simple interest on a sum of ₹9,800 is ₹16,562 for a period of 13 years, find the rate of interest per annum.
  18. PYQA parallelogram has sides 12 cm and 9 cm long. The length of one of its diagonals is 15 cm. What is the area (in cm2) of the parallelogram?
  19. PYQFind the positive integral value of x if the fourth proportional of x, x + 1, 2x + 3 is y and y = 3x + 3.
  20. PYQA jacket has a marked price of ₹5,000. The shopkeeper offers two successive discounts of 20% and 30%. What is the final selling price?
  21. PYQThe mean proportional of 0.15 and 0.000135 is ______.
  22. PYQPriyal is 5 years younger than her brother. After 4 years, the sum of their ages will be 39 years. What is Priyal's current age?
  23. PYQSimplify: 156 Ć· [12 + {7 Ɨ (15 – 9) – 28}]
  24. PYQAn article is marked for ₹2,000. A 25% discount is offered on the marked price, followed by a second discount of 10% on the new price. What is the…
  25. PYQThe frequency distribution of the hourly wages rate of 100 employees of a paper mill is follows. Find the median wage rate (in ₹). Wages rate(in₹)…
  26. PYQWhat is the mean proportional between 0.16 and 0.49?
  27. PYQA trader sells goods at a 15% profit but uses a weight of 950 grams for a kilogram. What is his total profit percentage? (Correct to two decimal…
  28. PYQThe cost of an article is increased by 20% in the first year. In the second year the increased cost is decreased by 24%. If the final cost of the…
  29. PYQThe HCF and LCM of two numbers are 27 and 324, respectively. If one number is 81, find the other number.
  30. PYQRajiv invested a certain sum of money at 10% per annum. After 2 years, he received ₹199.5 as compound interest, compounded annually. Find the…
  31. PYQA train met with an accident 50 km away from station A. It completed the remaining journey at three-fourth of its original speed and reached station…
  32. PYQPipe X can fill a reservoir in 15 hours and pipe Y can empty it in 20 hours. If both pipes are opened simultaneously and pipe Y is closed after 10…
  33. PYQIf the ratio of two numbers is 4 : 1, and their HCF is 47, then their LCM is:
  34. PYQSolve: (9.73Ɨ9.73Ɨ9.73 + 7.27Ɨ7.27Ɨ7.27) / (9.73Ɨ9.73 āˆ’ 9.73Ɨ7.27 + 7.27Ɨ7.27)
  35. PYQA person covers half the distance of a journey at 60 km/h and the other half at 30 km/h. What is the average speed for the entire journey?
  36. PYQPoonam sold a book to Mohini at a loss of 5% and Mohini sold it to Rupashi at a profit of 8%. If Rupashi bought the book for ₹1,539, then what was…
  37. PYQTwo trains A and B of lengths 496 m and 490 m are running at speeds of 12 m/s and 22 m/s, respectively, towards each other on parallel tracks. In…
  38. PYQAn item is sold for ₹7,200 after two successive discounts of 36% and 10%. What is the marked price (in ₹) of the item?
  39. PYQA person saves 60% of his income. If his expenditure is ₹560, then his income (in ₹) is:
  40. PYQFind the simple interest (in ₹) on ₹2,000 at 7% per annum rate of interest for the period from 9 February 2023 to 23 April 2023.
  41. PYQA person allows a 10% discount for cash payment from the marked price of a toy and still he makes a 10% gain. What is the cost price of the toy…
  42. PYQA garrison of 1209 men has provisions for 24 days. How long (in days) will the provisions last if the garrison is increased by 403 men?
  43. PYQThe sum of two numbers is 45. One number is 5 more than the other. Find the larger number.
  44. PYQThe marked price of a washing machine is ₹62,000. A shopkeeper allows a discount of 73% and gets a profit of 20%. What is the cost price of the…
  45. PYQThe curved surface area and the height of a right circular cylinder are 924 cm² and 14 cm, respectively. Find its diameter (in cm). Use Ļ€ = 22/7
  46. PYQA car travels 187 km in the first hour and 273 km in the second hour. What is the average speed (in km/hr) of the car for the whole journey?
  47. PYQIf 602 bananas were distributed among three monkeys in the ratio 1/2 : 1/3 : 1/6, how many bananas did the first monkey get?
  48. PYQIf a+b+c=14, ab+bc+ca=47 and abc=15, then the value of a³+b³+c³ is:
  49. PYQFind the ratio between the fourth proportional of 1, 3 and 6 to the mean proportional of 12 and 3.
  50. PYQTen years ago, a father was three times as old as his son. Ten years from now, he will be twice as old as his son. What is the son's present age?
  51. PYQIn a quadrilateral WXYZ, ∠W = 74° and ∠X = 58°. The bisectors of ∠Y and ∠Z meet at O. What is the measure of ∠ZOY?
  52. PYQThe sides of a triangle ABC are AB = 5 cm, BC = 6 cm and CA = 7 cm, respectively. Another triangle is formed by joining the mid-points of the sides…
  53. PYQIf cot θ = 14/3, then what is the value of cos θ? (0° < θ < 90°)
  54. PYQWalking at 5/6th of his normal speed from his home, Lakshya is 24 minutes late in reaching his office. The usual time taken by him to cover the…
  55. PYQ₹6,874 is to be divided among three persons X, Y and Z. If the shares of X and Y are in the ratio 5 : 9 and that of Y and Z are in the ratio 9 : 7…
  56. PYQIn quadrilateral PQRS, the bisectors of ∠R and ∠S meet at the point T (inside the quadrilateral) and ∠STR = 48°. If the ratio of ∠P to ∠Q is 3 : 5…
  57. PYQThe sum of twin prime numbers is 36. Find the product of the twin prime numbers.
  58. PYQThe expenditure of Sudha is 150% more than her savings. If her expenditure decreases by 7% and savings increase by 21%, then by what percentage does…
  59. PYQWhat is the Highest Common Factor (HCF) of 252 and 378?
  60. PYQThe mode of a distribution is 21 and the mean is 60. The value of its median is:
  61. PYQKeshav spends 70% of his income. If he saves ₹18,000, then his income (in ₹) is:
  62. PYQWhat is the volume of the largest sphere that can be carved out of a cube of edge 3 cm?
  63. PYQThe monthly incomes of two friends Vipul and Vijay, are in the ratio 5 : 8, respectively, and each of them saves ₹84,000 every month. If the ratio…
  64. PYQA person travels from Kolkata to Ahmedabad at a speed of 9 km/hr, and returns to Kolkata by the same route at a speed of 18 km/hr. Find his average…
  65. PYQTwo trains of lengths 210 m and 140 m are running in the same direction at speeds of 80 km/h and 150 km/h respectively. How much time (in minutes)…
  66. PYQVipul invests a sum of ₹5400 and Vijay invests ₹9400 at the same rate of simple interest per annum. If at the end of 5 years, Vijay gets ₹840 more…
  67. PYQTwo numbers are in the ratio 4:9. If their geometric mean is 24, find the positive difference between the two numbers.
  68. PYQIn an examination, there were three papers of Mathematics, two papers of English and one paper of Science. All papers had 100 marks each. S got 60%…
  69. PYQThe HCF of two numbers is 11 and their sum is 132. If both numbers are greater than 42, find the difference between the two numbers.
  70. PYQA number is first reduced by 15% and then increased by 20%. The number so obtained is 78 more than the original number. Find the original number.
  71. PYQThe price of petrol increases by 85% (per litre). By what percentage should its consumption be reduced so that the increase in expenditure on it is…
  72. PYQIf at the same rate of interest, over 2 years, the simple interest is ₹42 and the compound interest is ₹51, find the principal (in ₹).
  73. PYQA dishonest shopkeeper claims to sell his goods at cost price. However, he uses a weight whose actual weight is 46% less than the weight written on…
  74. PYQThe average weight of Gopal, Akshay and Atul is 46 kg. If the average weight of Gopal and Akshay is 40 kg and the average weight of Akshay and Atul…
  75. PYQFind the largest 4-digit number that is completely divisible by 15, 25, 40 and 75.
  76. PYQThe LCM of 28, 60, 120 and 135 is:
  77. PYQIn an examination, there were three papers of Mathematics, two papers of English and one paper of Science. All papers were of 100 marks. S got 60%…
  78. PYQA number is first decreased by 15% and then increased by 20%. The number so obtained is 78 more than the original number. The original number is:
  79. PYQMandar has two grandsons Ketan and Tushar. 11 year old Ketan gets some money from Mandar's wealth and 12 year old Tushar gets rest of the money. But…
  80. PYQTwo numbers are in the ratio of 4 : 9. If the mean proportional between them is 24, find the positive difference between the two numbers.
  81. PYQTwo trains having lengths of 210 m and 140 m are running at speeds of 80 km/h and 150 km/h, respectively, in the same direction. The time taken (in…
  82. PYQA can do a piece of work in 32 days and B in 48 days. They work together for 8 days and then A goes away. In how much time (in days) will B finish…
  83. PYQDetermine the largest four-digit number that is exactly divisible by 15, 25, 40, and 75.
  84. PYQA dishonest shopkeeper promises to sell his goods at cost price. However, he uses a weight that actually weighs 46% less than what is written on it…
  85. PYQThe average weight of Gopal, Akshay and Atul is 46 kg. If the average weight of Gopal and Akshay be 40 kg and that of Akshay and Atul be 45 kg, then…
  86. PYQVipul invests a sum of ₹5400 and Vijay invests a sum of ₹9400 at the same rate of simple interest per annum. If, at the end of 5 years, Vijay gets…
  87. PYQThe HCF of two numbers is 11 and their sum is 132. If both the numbers are greater than 42, then the difference between the two numbers is:
  88. PYQSarang invested some amount with HDFC at an annual interest rate of 4%. If after 2 years Sarang receives ₹153 as compound interest, compounded…
  89. PYQA customer is unable to decide between a single 40% discount and two successive discounts of 25% and 15% while buying a particular item. What is the…
  90. PYQA shopkeeper has a spherical laddoo of radius 7 cm. From the same material, how many laddoos of radius 3.5 cm can be made?
  91. PYQFind the LCM of 672 and 7056.
  92. PYQRachin covers a distance for 2 hours at a speed of 60 km/hr and an 80 km distance at a speed of 40 km/hr. Find Rachin's average speed (in km/hr).
  93. PYQThe price of petrol increases by 60% per litre. By what percentage should its consumption be reduced so that the expenditure on it increases by only…
  94. PYQRajeshwar can complete a work in 12 days, Vikram in 6 days, and Tiger in 15 days. They all start working together, but Rajeshwar leaves 2 days after…
  95. PYQA dishonest shopkeeper claims to sell his goods at cost price. However, he uses a weight whose actual weight is 26% less than the weight marked on…
  96. PYQFind the value of the following. [(84 Ć· 6) Ɨ {91/7 + 16/2 Ɨ (8 āˆ’ 6)}]
  97. PYQTwo trains are moving in opposite directions at speeds of 60 km/hr and 110 km/hr. The length of one train is 360 m. They take 21 seconds to cross…
  98. PYQA candidate scores 25% marks and fails by 68 marks, while another candidate, who scores 50% marks, gets 42 marks more than the minimum marks…
  99. PYQAmit invests a sum of ₹5400 and Gopal invests a sum of ₹9400 at the same rate of annual simple interest. If at the end of 4 years, Gopal receives…
  100. PYQThe average age of 48 students in a class is 22 years. If the teacher's age is also included, the average age of the entire group becomes 23 years…