Quantitative Aptitude questions with answers

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 smallest number that must be added to 830 so that it becomes exactly divisible by 7.
2. If \(x + y = 22\) and \(x - y = 6\), find the value of \(x\).
3. Find the value of \(x^2 - y^2\) if \(x = 7\) and \(y = 6\).
4. Find the area of a triangle with base \(7\text{ cm}\) and height \(8\text{ cm}\).
5. Find the perimeter of a rectangle with length \(24\text{ cm}\) and breadth \(12\text{ cm}\).
6. Sales figures are: 148, 176, and 168 units in January, February, and March respectively. Find the average monthly sales.
7. The HCF of two numbers is 8 and their LCM is 144. If one of the numbers is 16, find the other number.
8. Simplify: \(14 + 20 \div 2 \times 2 - 6\)
9. Find the smallest positive integer that must be added to 798 so that the resulting number is exactly divisible by 7.
10. A shopkeeper buys an article for ₹550 and sells it for ₹605. Find the profit percentage.
11. Find the simple interest on ₹3000 at 10% per annum for 3 years.
12. 20% of a number is 12. Find the number.
13. A shopkeeper buys an article for ₹600 and sells it for ₹840. Find the profit percentage.
14. A car covers 240 km in 3 hours. Find its speed.
15. 25% of a number is 30. Find the number.
16. The price of an item increases from ₹150 to ₹225. Find the percentage increase.
17. Convert 36 km/h into m/s.
18. A car covers 192 km in 3 hours. Find its speed.
19. If x + y = 18 and x − y = 8, find the value of x.
20. Find the value of x² − y² if x = 7 and y = 3.
21. Find the area of a triangle with base 4 cm and height 9 cm.
22. Find the perimeter of a rectangle with length 20 cm and breadth 5 cm.
23. If x + y = 16 and x − y = 2, find the value of x.
24. PYQIf a + b = 1 and a² + b² = 2, then a⁵ + b⁵ =
25. PYQIf √[(3⁴+3⁷)/7] = x, √[(3²+3⁵)/7] = y and z = √(x+y), then 4(z²+3) =
26. PYQIf (3125/x)⁻²ᐟ⁵ + (243/x)⁻²ᐟ⁵ = 34/(15)² · (64)¹ᐟ⁵, then ((x²+1)/13)⁻² =
27. PYQIf r is a rational number whose denominator exceeds its numerator by 3, and if 5 is subtracted from both, it becomes 2/3, then r =
28. PYQIf r is the reciprocal of the sum of the reciprocals of 4/5 and 5/8, the digit in the fourth decimal place of r is
29. PYQIf the LCM of two integers both greater than 1 is 1517, the sum of those two numbers is
30. PYQA company made 100 triangular metal sheets in orange, white, yellow in ratio 2:3:5; each triangle's sides in ratio 3:4:5 with perimeter 48 units…
31. PYQIf x% of 670 is less than 17% of 770 by 17, then x =
32. PYQRaja's salary was reduced by 20%. The % increase needed on the reduced salary to restore the original is
33. PYQ20% profit is earned selling a TV at 10% discount on MP Rs.50,000. If no discount is allowed, profit % is
34. PYQX buys an article for Rs.2,000, sells to Y at 25% gain; Y sells to Z at p% gain; Z sells to T at 20% loss. T pays Rs.2,100. p =
35. PYQTwo solutions of 90% and 97% purity are mixed to make 21 litres of 94% purity. The quantity (litres) of the 97% solution is
36. PYQA vessel has L₁:L₂ = 11:8. 9.5 litres of mixture removed and replaced with L₂; new ratio 11:12. Quantity of L₂ (litres) in final mixture is
37. PYQPipe B fills a tank 5 hrs faster than A and 4 hrs slower than C. Time for A and C together to fill the tank equals time for B alone. Time (hrs) for…
38. PYQA finishes a task alone in 25 days (12 hrs/day); B in 50 days (12 hrs/day). B starts, A joins after 2 days. B works 18 hrs/day, A works 12 hrs/day…
39. PYQ5 men build a wall in 20 days, 8 women in 25 days, 10 boys in 30 days. Time (days) for 2 men, 6 women, 5 boys together is
40. PYQP, Q, R complete a work alone in 20, 15, 12 days. Q and R start and leave after the 3rd day. Days needed for P to finish the remaining work is
41. PYQA person travels 12 km at initial speed, then 6 km at speed ½ kmph faster. Travelling the entire distance at the increased speed would take 20 min…
42. PYQEqual amounts given to A and B. After 3 years, A repays at 10% SI, B at 10% CI annually. Difference in amounts paid is Rs.46.50. The amount given to…
43. PYQX borrowed money at SI: 6% p.a. (first 3 yrs), 9% p.a. (next 5 yrs), 13% p.a. (beyond 8 yrs). Total interest at end of 11th year is Rs.8,160. The…
44. PYQSI on Rs.1,750 for 3 yrs at 8% is half of CI on Rs.4,000 for 2 yrs at x% p.a. (annual compounding). x =
45. PYQA,B partner with capitals 4:5. After 3 months A withdraws ¼, B withdraws ⅕ of capital; profit shared after 7 more months. A's share = Rs.330. Total…
46. PYQA rhombus has side 5cm and one diagonal 8cm. Its area (sq.cm) is
47. PYQA window is a square surmounted by an equilateral triangle (vertices coincide). Perimeter = 6m. Area (sq.m) of the window is
48. PYQA cube built from 216 unit cubes (6×6×6) has one unit cube removed from every corner. The surface area (sq. units) of the resultant structure is
49. PYQA brick measures 25×11.25×6 cm. Number of bricks needed for a wall 8m×6m×22.5cm is
50. PYQA hemisphere, cone, and cylinder have equal bases and equal volumes. The ratio of heights of cylinder to cone is
51. PYQA circular sheet of radius r is divided into 4 equal sectors, one removed, and the rest folded into a cone whose base perimeter is ¾ of the original…
52. PYQBetween 8 and 9 o'clock, the minute and hour hands are 72° apart at 8h t₁ min and 8h t₂ min. t₁+t₂ =
53. PYQIf n = number of times clock hands coincide from 6am of 5th Aug 2021 to 6am of 7th Aug 2021, n =
54. PYQAverage weight of 45 students is 52kg. 5 students (avg 48kg) leave, 5 new students (avg 54kg) join. New average weight (kg) is
55. PYQSum of 3 numbers is 13680. First = 3/5 of third; second:third = 4:7. First number is
56. PYQA person gives 2/5 of property to elder son, 30% to younger son, rest to 3 daughters in ratio 3:5:2. One son got Rs.20,000 more than the other…
57. PYQPresent price ratio of 2 bicycles = 2:3. After 2 years, first +15%, second +Rs.475, ratio becomes 3:5. Present price of first (Rs.) is
58. PYQDifference between 2-year CI and 3-year SI at 10% p.a. is Rs.1080. The amount (Rs.) is
59. PYQA sum borrowed for 3 years at SI; at 2% higher rate, Rs.720 more is paid. The sum (Rs.) is
60. PYQNumber of key-presses to type first 300 natural numbers is
61. PYQNumber of trailing zeros in 75×60×48×35×30×24×18×10×5 is
62. PYQWhich number divides 7¹²−2²⁴?
63. PYQAvg age of 2 sons+father exceeds avg age of 2 sons+mother by 4. Avg of all 4 = 19, avg of 2 sons = 6. Ratio of father's to mother's age is
64. PYQP sold to Q at 25% profit, Q to R at 15% loss, R to S at 20% profit. S paid Rs.204. P's purchase price (Rs.) is
65. PYQA 180m train crosses a pole in 18s. After detaching coaches, length reduces to 150m. Time to cross a 120m bridge at the same speed (s) is
66. PYQAngle between clock hands at 9:40 is
67. PYQIf 1 Jan 1991 was Tuesday, what day is 26 Jan 1998?
68. PYQA,B invest in ratio 4:5. After 3 months A withdraws 25%, B withdraws 20%. Profit = Rs.9000. B's share (Rs.) is
69. PYQA,B,C capitals in ratio 8:9:10. After 3 months B adds 1/3 more; 3 months later C withdraws 1/5. Annual profit Rs.2,37,300. C's share (Rs.) is
70. PYQLeast multiple of 7 leaving remainder 4 when divided by 6,9,15,18 is
71. PYQSum of two positive integers = 594, HCF = 33. Number of such pairs is
72. PYQAC is the diameter of a circle and diagonal of inscribed quadrilateral ABCD with AB=30, CD=10, BC=40. Area (sq. units) of ABCD is
73. PYQRoom L:B:H=3:2:1, sum of dimensions=18m. Cost to paint walls+ceiling at Rs.15/sq.m (Rs.) is
74. PYQHollow iron roller, length 63cm, girth 440cm, thickness 4cm. Volume of metal (cu.cm) is
75. PYQA cone (h=9cm, base dia 18cm) is cut from a solid sphere (r=9cm). % wood wasted is
76. PYQTwo pipes fill a tank in 20hrs and 30hrs. After tank is ⅓ full, a leak causes ⅓ of subsequent water to leak out. Total time (hrs) is
77. PYQPipe1 fills in 12min, pipe2 in 15min, pipe3 empties in 6min. First two open 5 min, then third opened too. Further time (min) to empty the cistern is
78. PYQMilk:water in A=4:3, in B=2:3. Ratio to mix for half-milk-half-water mixture is
79. PYQSum of 5 consecutive odd numbers = 195. Its 2nd lowest number is 5 less than the 2nd highest of a series of 5 consecutive even numbers. 65% of the…
80. PYQIf the surface area of a sphere is numerically equal to its volume, then the surface area of that sphere (in square units) is:
81. PYQThe rate of simple interest per annum to be taken, so that an amount becomes four times its principal in 21 years, is:
82. PYQThe population of a village increases at the rate of 25% per annum. If its population at the end of the year 2015 is 4000, then its population at…
83. PYQA box contains 38 coins each one of which is either a two rupee coin or a five rupee coin. If the total value of these count is Rs. 157, then the…
84. PYQIf the sum of the first n terms of an arithmetic progression is 7n 2 + 2n, then the sum of its third and fifth terms is:
85. PYQof 36 + [7 + {8(3 - 5) + 5(3 + 2) -1} -7] =
86. PYQIf a single card is chosen at random from a standard deck of 52 playing cards, then the probability of choosing a black queen or a spade card is:
87. PYQIf the L.C.M of two numbers is 1763, then the sum of those numbers is:
88. PYQIf the ratio of three integers a, b, c is 3 : 4 : 5 and their sum is 252, then the ratio of c and 147 is:
89. PYQIn a 1000 meters race, A beats B by 100 metres and C by 190 meters. Then the distance (in meters) by which B beats C in finishing that race is:
90. PYQIn a class of 20 boys, a boy ate 25 chocolates. If the average number of chocolates eaten by the others is one less than the average number of…
91. PYQA, B and C invest in ratio 2:3:4. After 6 months, A increases his capital by 50%. Total profit after 2 years is Rs. 90,000. How much does A receive?
92. PYQA and B together have Rs. 9000. If 4/11 of A's amount equals 3/5 of B's amount, how much does A have?
93. PYQSpeed ratio of bike:car = 4:5. Bike travels 160 km in 4 hours. How far will the car travel in 5 hours?
94. PYQAverage marks of 30 students is 55. If a student who scored 40 is replaced by one who scored 70, find the new average.
95. PYQA can complete a task in 10 days, B in 15 days. A works alone for 4 days, then B joins. How many more days to finish?
96. PYQA sum amounts to ₹6,720 in 4 years and ₹7,680 in 6 years at simple interest. Find the annual rate.
97. PYQA chord is 16 cm long, and perpendicular distance from center to chord is 6 cm. Find the radius.
98. PYQA 3cm-radius sphere is melted and recast into 1cm-radius spheres. How many small spheres form?
99. PYQFind the value of k so that x² + kx + 16 = 0 has real, distinct roots.
100. PYQA,B,C started a business with Rs.12,000, Rs.15,000, Rs.18,000. After 6 months, B withdrew Rs.5,000, C added Rs.10,000. Total profit at year-end is…