Here is a set of 40 Mathematics MCQ Quiz Questions specially curated for competitive exams like SSC, Railway, Banking, APSC, UPSC (CSAT), etc. The questions cover key topics: Arithmetic, Algebra, Geometry, Number System, and Data Interpretation.


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✅ 40 Mathematics MCQs for Competitive Exams

(With Correct Answers and Explanations)


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🧮 Arithmetic & Percentages

1. What is 25% of 240?
A) 60
B) 40
C) 80
D) 120
✅ Answer: A) 60
📘 Explanation: 25% of 240 = (25/100) × 240 = 60


2. If a shirt is sold for ₹880 after a 20% discount, what is the original price?
A) ₹1000
B) ₹1050
C) ₹1100
D) ₹1200
✅ Answer: A) ₹1100
📘 Explanation: Let original price = x
x – 20%x = 880 → x = 880/0.8 = 1100


3. A number is increased by 20% and then decreased by 20%. What is the net change?
A) No change
B) 4% increase
C) 4% decrease
D) 10% decrease
✅ Answer: C) 4% decrease
📘 Explanation: Net % change = (a – b – ab/100) = (20 – 20 – 400/100) = -4%


4. A man travels 25% of his journey at 30 km/h and remaining at 60 km/h. What is his average speed?
A) 48 km/h
B) 45 km/h
C) 50 km/h
D) 40 km/h
✅ Answer: A) 48 km/h
📘 Explanation: Weighted average using time-based approach.




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🧮 Profit, Loss & Discount

5. If the cost price is ₹240 and the selling price is ₹300, what is the profit percent?
A) 20%
B) 25%
C) 30%
D) 15%
✅ Answer: B) 25%
📘 Explanation: Profit% = (Profit/CP)×100 = (60/240)×100 = 25%


6. A shopkeeper gains 20% after giving a 10% discount. Marked price is? (CP = ₹500)
A) ₹700
B) ₹675
C) ₹625
D) ₹600
✅ Answer: B) ₹675
📘 Explanation: SP = 500 + 20% = 600 → MP = SP/0.9 = 600/0.9 = ₹666.66




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🔢 Number System

7. LCM of 12, 15 and 20 is:
A) 120
B) 180
C) 60
D) 240
✅ Answer: A) 60
📘 Explanation: 12 = 2²×3, 15 = 3×5, 20 = 2²×5 → LCM = 2²×3×5 = 60


8. Find the smallest number divisible by 6, 8, and 12:
A) 48
B) 24
C) 36
D) 96
✅ Answer: A) 24
📘 Explanation: LCM(6,8,12) = 24


9. What is the remainder when 4⁵ is divided by 7?
A) 2
B) 4
C) 1
D) 5
✅ Answer: A) 2
📘 Explanation: 4⁵ = 1024; 1024 ÷ 7 = remainder 2




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📐 Geometry & Mensuration

10. Area of a circle with radius 7 cm is:
A) 154 cm²
B) 144 cm²
C) 147 cm²
D) 132 cm²
✅ Answer: A) 154 cm²
📘 Explanation: πr² = 22/7 × 7² = 154


11. The perimeter of a rectangle is 40 cm. If its length is 12 cm, what is the breadth?
A) 8 cm
B) 6 cm
C) 10 cm
D) 4 cm
✅ Answer: B) 8 cm
📘 Explanation: 2(l+b)=40 → b = (40/2 – 12) = 8




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📏 Time, Speed, and Distance

12. A train travels 360 km in 4 hours. What is its speed?
A) 60 km/h
B) 90 km/h
C) 80 km/h
D) 100 km/h
✅ Answer: B) 90 km/h
📘 Explanation: Speed = Distance / Time = 360/4


13. A person walks 4 km/h. How much time to cover 12 km?
A) 2 hours
B) 3 hours
C) 4 hours
D) 1.5 hours
✅ Answer: B) 3 hours
📘 Explanation: Time = Distance / Speed = 12 / 4




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📊 Data Interpretation

14. In a class, 60% are boys. If there are 30 boys, total students = ?
A) 40
B) 45
C) 50
D) 60
✅ Answer: C) 50
📘 Explanation: 60% of total = 30 → total = 30×100/60 = 50




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➕ Algebra

15. If x + y = 12 and xy = 35, then x² + y² = ?
A) 144
B) 119
C) 49
D) 109
✅ Answer: D) 109
📘 Explanation: x² + y² = (x + y)² – 2xy = 144 – 70 = 74




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🧮 Algebra & Simplification

16. If (a + b)² = 49 and ab = 10, find a² + b².
A) 29
B) 39
C) 19
D) 9
✅ Answer: B) 29
📘 Explanation: (a + b)² = a² + b² + 2ab → 49 = a² + b² + 20 → a² + b² = 29


17. Simplify: 5 + 3 × (2 + 4) ÷ 2
A) 14
B) 11
C) 12
D) 13
✅ Answer: B) 11
📘 Explanation: = 5 + 3 × 6 ÷ 2 = 5 + 18 ÷ 2 = 5 + 9 = 14


18. If x² – 9 = 0, then x = ?
A) ±3
B) 3
C) –3
D) 0
✅ Answer: A) ±3
📘 Explanation: x² = 9 → x = ±√9 = ±3




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🔢 Number System & HCF/LCM

19. HCF of 36 and 48 is:
A) 12
B) 6
C) 18
D) 24
✅ Answer: A) 12
📘 Explanation: 36 = 2² × 3², 48 = 2⁴ × 3 → HCF = 2² × 3 = 12


20. Which number is not a prime?
A) 19
B) 23
C) 33
D) 29
✅ Answer: C) 33
📘 Explanation: 33 is divisible by 3 and 11




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⏱ Time and Work

21. A can do a job in 12 days, B in 16 days. How long will both take together?
A) 6.85 days
B) 7 days
C) 6.86 days
D) 6.4 days
✅ Answer: D) 6.86 days
📘 Explanation: 1/12 + 1/16 = (4+3)/48 = 7/48 → Time = 48/7 = ~6.86


22. If 8 men can do a work in 15 days, how many men are required to do it in 10 days?
A) 10
B) 12
C) 6
D) 15
✅ Answer: B) 12
📘 Explanation: m₁d₁ = m₂d₂ → 8×15 = x×10 → x = 12




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💹 Ratio & Proportion

23. Simplify ratio: 40:60
A) 3:4
B) 2:3
C) 4:5
D) 2:5
✅ Answer: B) 2:3
📘 Explanation: 40:60 = 2:3 after dividing both by 20


24. If a:b = 2:3 and b:c = 4:5, then a:c = ?
A) 8:15
B) 4:5
C) 2:5
D) 5:8
✅ Answer: A) 8:15
📘 Explanation: a:b = 2:3, b:c = 4:5 → make b = common → a = 8, c = 15




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📐 Geometry

25. Perimeter of a square with side 13 cm is:
A) 52 cm
B) 169 cm
C) 26 cm
D) 56 cm
✅ Answer: A) 52 cm
📘 Explanation: Perimeter = 4 × side = 4 × 13 = 52


26. Area of triangle with base 10 cm and height 6 cm:
A) 60
B) 30
C) 20
D) 40
✅ Answer: B) 30
📘 Explanation: (1/2) × base × height = (1/2)×10×6 = 30 cm²




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📊 Simple Interest

27. Simple interest on ₹5000 at 10% per annum for 2 years:
A) ₹1000
B) ₹1200
C) ₹900
D) ₹800
✅ Answer: A) ₹1000
📘 Explanation: SI = (P×R×T)/100 = 5000×10×2/100 = ₹1000


28. Principal is ₹8000, rate is 5%, time 3 years. Find SI.
A) ₹1200
B) ₹1000
C) ₹1100
D) ₹1400
✅ Answer: A) ₹1200
📘 Explanation: SI = 8000×5×3/100 = ₹1200




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📈 Data Interpretation (Word Problems)

29. A student scores 72 out of 120. What is the percentage?
A) 60%
B) 65%
C) 62%
D) 70%
✅ Answer: A) 60%
📘 Explanation: (72/120)×100 = 60%


30. A quantity increases from 400 to 480. What is the percent increase?
A) 20%
B) 15%
C) 25%
D) 10%
✅ Answer: A) 20%
📘 Explanation: (80/400)×100 = 20%




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🧠 Logical Math

31. Which number will replace the question mark?
2, 4, 8, 16, ?
A) 24
B) 30
C) 32
D) 36
✅ Answer: C) 32
📘 Explanation: Each term ×2


32. If A = 1, B = 2,… Z = 26, what is the value of “CAT”?
A) 24
B) 30
C) 48
D) 27
✅ Answer: C) 48
📘 Explanation: C=3, A=1, T=20 → 3+1+20 = 24




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🧾 Miscellaneous

33. The square root of 625 is:
A) 20
B) 25
C) 30
D) 35
✅ Answer: B) 25


34. Cube of 3 is:
A) 9
B) 18
C) 27
D) 81
✅ Answer: C) 27


35. Find the average of 10, 20, 30, 40, 50
A) 30
B) 25
C) 20
D) 35
✅ Answer: A) 30
📘 Explanation: Total = 150/5 = 30


36. A shopkeeper buys 10 pens for ₹100 and sells at ₹12 each. Profit%?
A) 10%
B) 20%
C) 25%
D) 50%
✅ Answer: D) 20%
📘 Explanation: CP = ₹10 each; SP = ₹12 → Profit% = 2/10 × 100 = 20%




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🧠 Simple Puzzles (Math-Based)

37. If 5 pencils cost ₹25, what is the cost of 9 pencils?
A) ₹40
B) ₹45
C) ₹50
D) ₹55
✅ Answer: B) ₹45
📘 Explanation: 1 pencil = ₹5 → 9 pencils = ₹45


38. If A is 2 years older than B, and B is 3 years older than C, then A is how much older than C?
A) 5
B) 4
C) 3
D) 6
✅ Answer: A) 5
📘 Explanation: A – C = 2 + 3 = 5


39. What is the next prime after 29?
A) 31
B) 33
C) 35
D) 37
✅ Answer: A) 31


40. If a person earns ₹200 per day, how much in 15 days?
A) ₹3000
B) ₹2500
C) ₹2800
D) ₹3200
✅ Answer: A) ₹3000
📘 Explanation: ₹200 × 15 = ₹3000




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