1500+ Maths MCQs with Answers for Competitive Exams
Welcome to Preptara’s carefully prepared collection of 1500+ Maths MCQs. This practice set covers Number System, Percentage, Profit and Loss, Ratio and Proportion, Average, Simple and Compound Interest, Time and Work, Speed, Distance, Algebra, Geometry, Mensuration and practical arithmetic.
These questions are useful for SSC, Railway, Banking, Police, Defence, State PCS, CET and other competitive examinations. Choose an option to check your response instantly and read a clear explanation of the method used.
Preparation tip: Solve each question without a calculator, revise the formulas behind your mistakes and practise regularly to improve speed, accuracy and confidence. Start with top 100 mixed Maths MCQs provided below and then Practice MCQs from Topicwise list provide at the end of the page.
1. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
2. Which of the following is divisible by 9?
351 is divisible by 9 because 3+5+1=9.
3. What is the HCF of 18 and 24?
The common factors are 1, 2, 3 and 6; therefore, the highest common factor is 6.
4. What is the LCM of 8 and 12?
The least common multiple of 8 and 12 is 24.
5. What is the square of 25?
25 × 25 = 625.
6. What is the cube of 4?
4 × 4 × 4 = 64.
7. Which number is irrational?
√2 cannot be expressed as a ratio of two integers, so it is irrational.
8. What is the remainder when 47 is divided by 5?
5 × 9 = 45, leaving a remainder of 2.
9. How many factors does the number 16 have?
The factors of 16 are 1, 2, 4, 8 and 16, so it has five factors.
10. What is 2⁵?
2⁵ means 2 multiplied by itself five times, which equals 32.
11. What is 20% of 250?
20% of 250 = 20/100 × 250 = 50.
12. A number increased by 10% becomes 220. What was the original number?
Original number = 220 ÷ 1.10 = 200.
13. What is 15% of 600?
15% of 600 = 15/100 × 600 = 90.
14. A price of ₹800 is reduced by 25%. What is the new price?
A 25% reduction on ₹800 is ₹200, so the new price is ₹600.
15. If 40% of a number is 72, find the number.
The number = 72 × 100/40 = 180.
16. A student scores 360 out of 500. What is the percentage?
Percentage = 360/500 × 100 = 72%.
17. A number is decreased from 500 to 425. Find the percentage decrease.
Decrease = 75; percentage decrease = 75/500 × 100 = 15%.
18. What is 12.5% of 240?
12.5% is 1/8; 240 ÷ 8 = 30.
19. If 30% of x is 45, what is x?
x = 45 × 100/30 = 150.
20. A value rises from 400 to 500. What is the percentage increase?
Increase = 100; percentage increase = 100/400 × 100 = 25%.
21. An article bought for ₹500 is sold for ₹600. Find the profit percentage.
Profit = ₹100; profit percentage = 100/500 × 100 = 20%.
22. An article bought for ₹800 is sold for ₹680. Find the loss percentage.
Loss = ₹120; loss percentage = 120/800 × 100 = 15%.
23. If CP is ₹400 and profit is 25%, find SP.
SP = 400 × 125/100 = ₹500.
24. An item is sold for ₹900 at a loss of 10%. Find its cost price.
SP is 90% of CP, so CP = 900/0.9 = ₹1,000.
25. Marked price is ₹1,000 and discount is 20%. Find selling price.
Discount = ₹200, so selling price = ₹800.
26. A trader gains 15% by selling an article for ₹690. Find CP.
CP = 690/1.15 = ₹600.
27. If an item is sold at 20% loss for ₹480, its CP is:
SP is 80% of CP; CP = 480/0.8 = ₹600.
28. A discount of 10% on ₹2,000 equals:
Discount = 10/100 × 2,000 = ₹200.
29. An article is marked 25% above CP and sold at a 10% discount. The profit is:
SP = 1.25 × 0.90 × CP = 1.125 CP, giving 12.5% profit.
30. If profit is ₹150 on a CP of ₹750, profit percentage is:
Profit percentage = 150/750 × 100 = 20%.
31. Simplify the ratio 24:36.
Dividing both terms by 12 gives 2:3.
32. Divide ₹600 in the ratio 2:3. What is the larger share?
Total parts = 5; larger share = 3/5 × 600 = ₹360.
33. The ratio of boys to girls is 3:2. If there are 30 boys, how many girls are there?
One part equals 30/3 = 10; girls = 2 × 10 = 20.
34. Find the average of 12, 18 and 24.
Average = (12+18+24)/3 = 54/3 = 18.
35. The average of five numbers is 20. What is their total?
Total = average × number of values = 20 × 5 = 100.
36. The average of 8 numbers is 15. If one number is removed, the average of the remaining 7 is 14. Find the removed number.
Original total = 120; remaining total = 98; removed number = 22.
37. If a:b = 4:5 and b:c = 10:3, then a:c is:
Make b equal: 4:5 = 8:10, so a:c = 8:3.
38. The average of 10 numbers is 25. If each number is increased by 3, the new average is:
Increasing every value by 3 increases the average by 3, giving 28.
39. Two numbers are in the ratio 5:7 and their sum is 96. The larger number is:
Total parts = 12; one part = 8; larger number = 7 × 8 = 56.
40. The average of 4 numbers is 18. If three numbers total 50, the fourth is:
Total = 4 × 18 = 72; fourth number = 72 − 50 = 22.
41. Find the simple interest on ₹1,000 at 10% per annum for 2 years.
SI = PRT/100 = 1000×10×2/100 = ₹200.
42. What is the amount on ₹2,000 at 5% simple interest for 3 years?
SI = ₹300; amount = ₹2,000 + ₹300 = ₹2,300.
43. At what rate will ₹500 earn ₹100 simple interest in 4 years?
Rate = SI×100/(P×T) = 100×100/(500×4) = 5%.
44. Find SI on ₹1,500 at 8% for 2 years.
SI = 1500×8×2/100 = ₹240.
45. The compound interest on ₹1,000 at 10% for 2 years is:
Amount = 1000×1.1² = 1210; CI = ₹210.
46. The difference between CI and SI on ₹2,000 at 10% for 2 years is:
For two years, difference = P×(R/100)² = 2000×0.01 = ₹20.
47. At 10% compound interest, ₹1,000 becomes what after one year?
One-year interest is 10% of ₹1,000, so amount = ₹1,100.
48. If SI is ₹360 on ₹1,200 for 3 years, the rate is:
Rate = 360×100/(1200×3) = 10%.
49. The principal is ₹2,500 and SI is ₹500 at 10%. Find the time.
Time = SI×100/(P×R) = 500×100/(2500×10) = 2 years.
50. An amount doubles under simple interest in 5 years. The annual rate is:
Doubling means interest equals principal; R = 100/5 = 20% per year.
51. A can complete a work in 10 days. What fraction of the work does A complete in one day?
If the whole work takes 10 days, one day’s work is 1/10.
52. A work is completed by A in 12 days and by B in 6 days. Together they take:
Combined rate = 1/12 + 1/6 = 1/4, so time = 4 days.
53. A pipe fills a tank in 8 hours. What part does it fill in 2 hours?
In 2 hours it fills 2/8 = 1/4 of the tank.
54. A train travels 240 km in 4 hours. Its speed is:
Speed = distance/time = 240/4 = 60 km/h.
55. How much time is needed to cover 150 km at 50 km/h?
Time = distance/speed = 150/50 = 3 hours.
56. A man walks at 5 km/h for 2.5 hours. Distance covered is:
Distance = speed × time = 5×2.5 = 12.5 km.
57. If 6 workers finish a job in 10 days, how many days will 12 workers take, assuming equal efficiency?
Work is constant: 6×10 = 12×days, so days = 5.
58. A car’s speed increases from 40 to 50 km/h. The percentage increase is:
Increase = 10; percentage increase = 10/40 × 100 = 25%.
59. A and B together finish work in 5 days. Their one-day work rate is:
If the work takes 5 days, the combined one-day rate is 1/5.
60. A cyclist covers 90 km in 3 hours. How far will the cyclist travel in 5 hours at the same speed?
Speed = 90/3 = 30 km/h; distance in 5 hours = 150 km.
61. Solve: x + 7 = 15.
Subtracting 7 from both sides gives x = 8.
62. Solve: 3x = 27.
Dividing both sides by 3 gives x = 9.
63. If 2x + 5 = 17, find x.
2x = 12, so x = 6.
64. The perimeter of a square with side 9 cm is:
Perimeter of a square = 4×side = 4×9 = 36 cm.
65. The area of a rectangle 12 cm long and 5 cm wide is:
Area = length × breadth = 12×5 = 60 cm².
66. The area of a triangle with base 10 cm and height 6 cm is:
Area = 1/2 × base × height = 1/2×10×6 = 30 cm².
67. The circumference of a circle is calculated by:
The circumference of a circle is 2πr.
68. The sum of angles in a triangle is:
The interior angles of every triangle add up to 180°.
69. A right angle measures:
A right angle is exactly 90 degrees.
70. The volume of a cube with side 4 cm is:
Volume of a cube = side³ = 4³ = 64 cm³.
71. If 3 pens cost ₹45, the cost of 8 pens is:
One pen costs ₹15; eight pens cost 8×15 = ₹120.
72. A sum of ₹900 is divided among A and B in the ratio 4:5. B receives:
Total parts = 9; B’s share = 5/9×900 = ₹500.
73. A 20-litre mixture contains milk and water in the ratio 3:1. Quantity of milk is:
Milk = 3/4×20 = 15 litres.
74. The cost of 5 kg rice is ₹300. What is the cost of 8 kg at the same rate?
One kg costs ₹60; 8 kg costs ₹480.
75. If 4 notebooks cost ₹160, how many can be bought for ₹400?
One notebook costs ₹40; ₹400 buys 10 notebooks.
76. A sum becomes ₹1,200 after a 20% increase. Its original value was:
Original value = 1200/1.2 = ₹1,000.
77. A number divided by 8 gives 12. The number is:
Number = 8×12 = 96.
78. What is 3/5 of 200?
3/5×200 = 120.
79. Convert 0.75 into a fraction in simplest form.
0.75 = 75/100 = 3/4 after simplification.
80. What is the value of 2.5 + 3.75?
2.50 + 3.75 = 6.25.
81. What is 25% of 360?
25% of 360 = 360 ÷ 4 = 90.
82. If 7x = 84, find x.
Dividing 84 by 7 gives x = 12.
83. The perimeter of a rectangle 8 cm long and 5 cm wide is:
Perimeter = 2 × (8+5) = 26 cm.
84. A shopkeeper gives a 15% discount on ₹2,000. The selling price is:
Discount = ₹300, so selling price = ₹1,700.
85. What is the LCM of 15 and 20?
The least common multiple of 15 and 20 is 60.
86. A man completes 1/4 of a job in 3 days. At the same rate, the full job takes:
If one-fourth takes 3 days, the complete job takes 4×3 = 12 days.
87. The simple interest on ₹2,000 at 6% for 2 years is:
SI = 2000×6×2/100 = ₹240.
88. The average of 16, 20, 24 and 28 is:
Average = (16+20+24+28)/4 = 88/4 = 22.
89. If 5 books cost ₹375, the cost of 12 books is:
One book costs ₹75; 12 books cost ₹900.
90. A number is increased from 200 to 260. The percentage increase is:
Increase = 60; percentage increase = 60/200×100 = 30%.
91. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
92. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
93. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
94. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
95. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
96. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
97. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
98. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
99. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
100. What is the smallest prime number?
2 is the smallest prime number because it has exactly two factors: 1 and 2.
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Topicwise Maths MCQs
Explore important Mathematics topics and practice questions.
- Percentage MCQ
- Profit and Loss MCQ
- Ratio and Proportion MCQ
- Average MCQ
- Time and Work MCQ
- Time, Speed and Distance MCQ
- Simplification MCQ
- Number System MCQ
- Simple Interest MCQ
- Compound Interest MCQ
- Mixture and Alligation MCQ
- Partnership MCQ
- Age Problems MCQ
- Train Problems MCQ
- Boat and Stream MCQ
- Pipe and Cistern MCQ