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Mathematics MCQs for Competitive Exams 2025 – Series 2: 50 Questions with Answers
Welcome to Series 2 of our Mathematics MCQs for Competitive Exams on The Art News. This post features 50 unique, copyright-free MCQs designed for exams like SSC CGL 2025, IBPS PO 2024, RRB NTPC 2025, UPSC, and more. Practice these quantitative aptitude questions to boost your exam preparation. Each question includes detailed solutions for better understanding.
Why Practice These MCQs?
These MCQs cover essential topics like arithmetic, algebra, geometry, trigonometry, and data interpretation, aligned with the latest patterns of SSC CHSL 2024, IBPS Clerk 2025, CAT 2024, and other competitive exams. Test your skills and prepare effectively with this free resource.
Question 1
What is the value of (5/6) × (3/10)?
- A) 1/4
- B) 1/2
- C) 3/4
- D) 1/8
Show Answer
Answer: A) 1/4
Explanation: (5/6) × (3/10) = (5 × 3) / (6 × 10) = 15/60 = 1/4.
Question 2
If the ratio of two numbers is 4:5 and their difference is 10, what is the larger number?
Show Answer
Answer: C) 50
Explanation: Let numbers be 4x and 5x. Then, 5x – 4x = x = 10. Larger number = 5x = 5 × 10 = 50.
Question 3
A car travels 180 km in 3 hours. What is its speed in km/h?
Show Answer
Answer: B) 60
Explanation: Speed = Distance ÷ Time = 180 km ÷ 3 h = 60 km/h.
Question 4
A shop offers a 15% discount on a $300 item. What is the selling price?
- A) $240
- B) $255
- C) $270
- D) $285
Show Answer
Answer: B) $255
Explanation: Discount = 15% of $300 = $45. Selling price = $300 – $45 = $255.
Question 5
Solve: 3x – 8 = 7.
Show Answer
Answer: C) 5
Explanation: 3x – 8 = 7 → 3x = 15 → x = 5.
Question 6
The area of a rectangle with length 12 cm and width 5 cm is:
- A) 50 cm²
- B) 60 cm²
- C) 70 cm²
- D) 80 cm²
Show Answer
Answer: B) 60 cm²
Explanation: Area = length × width = 12 × 5 = 60 cm².
Question 7
If cos θ = 1/2 and θ is in the first quadrant, what is θ?
- A) 30°
- B) 45°
- C) 60°
- D) 90°
Show Answer
Answer: C) 60°
Explanation: cos θ = 1/2 corresponds to θ = 60° in the first quadrant.
Question 8
The average of 6 numbers is 25. If one number is 30, what is the average of the other five?
Show Answer
Answer: C) 24
Explanation: Total sum = 6 × 25 = 150. Sum of other five = 150 – 30 = 120. Average = 120 ÷ 5 = 24.
Question 9
A man invests $4000 at 5% simple interest per annum. What is the interest after 3 years?
- A) $500
- B) $600
- C) $700
- D) $800
Show Answer
Answer: B) $600
Explanation: Simple Interest = (P × R × T) ÷ 100 = (4000 × 5 × 3) ÷ 100 = $600.
Question 10
The roots of x² – 8x + 15 = 0 are:
- A) 3, 5
- B) 2, 6
- C) 1, 7
- D) 4, 5
Show Answer
Answer: A) 3, 5
Explanation: Factorize: x² – 8x + 15 = (x – 3)(x – 5) = 0. Roots are x = 3, 5.
Question 11
What is the perimeter of a square with side 7 cm?
- A) 24 cm
- B) 28 cm
- C) 32 cm
- D) 36 cm
Show Answer
Answer: B) 28 cm
Explanation: Perimeter = 4 × side = 4 × 7 = 28 cm.
Question 12
If tan θ = √3, what is θ in the first quadrant?
- A) 30°
- B) 45°
- C) 60°
- D) 90°
Show Answer
Answer: C) 60°
Explanation: tan θ = √3 corresponds to θ = 60° in the first quadrant.
Question 13
A man completes a task in 15 days. How many days will it take for 5 men to complete the same task?
Show Answer
Answer: B) 3
Explanation: Work rate = 1/15 task per day. For 5 men, rate = 5 × (1/15) = 1/3. Time = 1 ÷ (1/3) = 3 days.
Question 14
The LCM of 15 and 25 is:
- A) 50
- B) 75
- C) 100
- D) 125
Show Answer
Answer: B) 75
Explanation: Prime factors: 15 = 3 × 5, 25 = 5². LCM = 3 × 5² = 75.
Question 15
A car travels 300 km in 5 hours. What is its speed in m/s?
- A) 16.67 m/s
- B) 20 m/s
- C) 22.22 m/s
- D) 25 m/s
Show Answer
Answer: A) 16.67 m/s
Explanation: Speed = 300 km ÷ 5 h = 60 km/h. Convert to m/s: 60 × (1000/3600) = 60 × (5/18) ≈ 16.67 m/s.
Question 16
If 25% of a number is 75, what is the number?
- A) 250
- B) 275
- C) 300
- D) 325
Show Answer
Answer: C) 300
Explanation: 0.25x = 75 → x = 75 ÷ 0.25 = 300.
Question 17
The circumference of a circle with diameter 14 cm is:
- A) 44 cm
- B) 48 cm
- C) 50 cm
- D) 56 cm
Show Answer
Answer: A) 44 cm
Explanation: Circumference = π × diameter = (22/7) × 14 = 44 cm.
Question 18
If a = 3 and b = 4, what is the value of a² – b²?
Show Answer
Answer: A) -7
Explanation: a² – b² = 3² – 4² = 9 – 16 = -7.
Question 19
A pipe fills a tank in 8 hours. How long will it take for 4 pipes to fill the tank?
- A) 1 hour
- B) 2 hours
- C) 3 hours
- D) 4 hours
Show Answer
Answer: B) 2 hours
Explanation: One pipe’s rate = 1/8 tank per hour. Four pipes’ rate = 4 × (1/8) = 1/2. Time = 1 ÷ (1/2) = 2 hours.
Question 20
The HCF of 18 and 27 is:
Show Answer
Answer: B) 9
Explanation: Prime factors: 18 = 2 × 3², 27 = 3³. HCF = 3² =.
Question 21
If a book costs $160 after a 20% discount, what was its original price?
- A) $180
- B) $190
- C) $200
- D) $210
Answer: C) $200
Explanation: Let original price = x. Then, 0.8x = 160 → x = 160 ÷ 0.8 = $200.
Question 22
The sum of four consecutive even numbers is 68. What is the smallest number?
Show Answer
Answer: A) 14
Explanation: Let numbers be n, n+2, n+4, n+6. Then, n + (n+2) + (n+4) + (n+6) = 4n + 12 = 68 → 4n = 56 → n = 14.
Question 23
If sin θ = 1/√2, what is θ in the first quadrant?
- A) 30°
- B) 45°
- C) 60°
- D) 90°
Show Answer
Answer: B) 45°
Explanation: sin θ = 1/√2 corresponds to θ = 45° in the first quadrant.
Question 24
A boat travels 48 km upstream in 4 hours. If the stream speed is 3 km/h, what is the boat’s speed in still water?
- A) 12 km/h
- B) 15 km/h
- C) 18 km/h
- D) 21 km/h
Show Answer
Answer: B) 15 km/h
Explanation: Upstream speed = 48 ÷ 4 = 12 km/h. Boat speed = Upstream speed + Stream speed = 12 + 3 = 15 km/h.
Question 25
The area of a triangle with base 12 cm and height 10 cm is:
- A) 50 cm²
- B) 60 cm²
- C) 70 cm²
- D) 80 cm²
Show Answer
Answer: B) 60 cm²
Explanation: Area = (1/2) × base × height = (1/2) × 12 × 10 = 60 cm².
Question 26
Solve: 4x + 9 = 25.
Show Answer
Answer: B) 4
Explanation: 4x + 9 = 25 → 4x = 16 → x = 4.
Question 27
The loss percentage on selling an item for $180 if its cost price is $200 is:
- A) 5%
- B) 10%
- C) 15%
- D) 20%
Show Answer
Answer: B) 10%
Explanation: Loss = 200 – 180 = 20. Loss % = (20 ÷ 200) × 100 = 10%.
Question 28
The sum of angles in a quadrilateral is:
- A) 180°
- B) 270°
- C) 360°
- D) 450°
Show Answer
Answer: C) 360°
Explanation: The sum of angles in any quadrilateral is always 360°.
Question 29
A man cycles at 12 km/h. How far will he cycle in 2.5 hours?
- A) 25 km
- B) 30 km
- C) 35 km
- D) 40 km
Show Answer
Answer: B) 30 km
Explanation: Distance = Speed × Time = 12 × 2.5 = 30 km.
Question 30
If a² + b² = 13 and ab = 6, what is a – b?
Show Answer
Answer: A) ±1
Explanation: (a – b)² = a² + b² – 2ab = 13 – 2 × 6 = 1 → a – b = ±1.
Question 31
A pie chart shows a sector of 72°. What percentage does this represent?
- A) 15%
- B) 20%
- C) 25%
- D) 30%
Show Answer
Answer: B) 20%
Explanation: Total angle = 360°. Percentage = (72 ÷ 360) × 100 = 20%.
Question 32
The volume of a cube with edge 5 cm is:
- A) 100 cm³
- B) 125 cm³
- C) 150 cm³
- D) 175 cm³
Show Answer
Answer: B) 125 cm³
Explanation: Volume = edge³ = 5 × 5 × 5 = 125 cm³.
Question 33
If 4 workers complete a task in 12 days, how long will 6 workers take?
- A) 6 days
- B) 7 days
- C) 8 days
- D) 9 days
Show Answer
Answer: C) 8 days
Explanation: Total work = 4 × 12 = 48 worker-days. Time for 6 workers = 48 ÷ 6 = 8 days.
Question 34
The value of 3³ × 2² is:
- A) 72
- B) 81
- C) 108
- D) 144
Show Answer
Answer: C) 108
Explanation: 3³ = 27, 2² = 4. So, 27 × 4 = 108.
Question 35
A number decreased by 30% gives 70. What is the original number?
- A) 90
- B) 100
- C) 110
- D) 120
Show Answer
Answer: B) 100
Explanation: Let number = x. Then, 0.7x = 70 → x = 70 ÷ 0.7 = 100.
Question 36
The angles of a triangle are in the ratio 3:4:5. What is the largest angle?
- A) 60°
- B) 75°
- C) 90°
- D) 105°
Show Answer
Answer: B) 75°
Explanation: Let angles be 3x, 4x, 5x. Then, 3x + 4x + 5x = 180 → 12x = 180 → x = 15. Largest angle = 5x = 5 × 15 = 75°.
Question 37
If a = 5 and b = 12, what is the value of (a + b)²?
- A) 169
- B) 144
- C) 121
- D) 100
Show Answer
Answer: A) 169
Explanation: (a + b)² = (5 + 12)² = 17² = 169.
Question 38
A boat’s speed in still water is 12 km/h, and the stream speed is 3 km/h. What is its downstream speed?
- A) 9 km/h
- B) 12 km/h
- C) 15 km/h
- D) 18 km/h
Show Answer
Answer: C) 15 km/h
Explanation: Downstream speed = Boat speed + Stream speed = 12 + 3 = 15 km/h.
Question 39
The mean of 15, 25, 35, 45, 55 is:
Show Answer
Answer: B) 35
Explanation: Mean = (15 + 25 + 35 + 45 + 55) ÷ 5 = 175 ÷ 5 = 35.
Question 40
If 5x² – 20 = 0, what is x?
Show Answer
Answer: B) ±2
Explanation: 5x² = 20 → x² = 4 → x = ±2.
Question 41
The compound interest on $2000 at 4% per annum for 2 years is:
- A) $160
- B) $166.40
- C) $172.80
- D) $180
Show Answer
Answer: B) $166.40
Explanation: Amount = 2000 × (1 + 0.04)² = 2000 × 1.0816 = $2163.20. CI = 2163.20 – 2000 = $166.40.
Question 42
The diagonal of a square with side 8 cm is:
- A) 8√2 cm
- B) 10 cm
- C) 10√2 cm
- D) 12 cm
Show Answer
Answer: C) 10√2 cm
Explanation: Diagonal = side × √2 = 8 × √2 = 8√2 cm.
Question 43
If a number is divided by 5, the remainder is 2. What is the remainder when the number is divided by 10?
Show Answer
Answer: A) 2
Explanation: Let number = 5k + 2. When divided by 10, remainder = 5k + 2 – 10m. Since 5k is divisible by 5, remainder = 2.
Question 44
The sum of the first 12 natural numbers is:
Show Answer
Answer: B) 78
Explanation: Sum = n(n+1)/2 = 12 × 13 ÷ 2 = 78.
Question 45
A shopkeeper sells an item at a 15% loss but uses a 15% heavier weight. What is the net profit/loss percentage?
- A) 0%
- B) 2.25% profit
- C) 2.25% loss
- D) 4% profit
Show Answer
Answer: A) 0%
Explanation: Let CP = $100/kg. Actual weight = 1.15 kg, SP = 0.85 × 100 = $85 for 1 kg, but for 1.15 kg, SP = $85. Net = (85 – 100) ÷ 100 = 0%.
Question 46
If cos θ = √3/2, what is θ in the first quadrant?
- A) 30°
- B) 45°
- C) 60°
- D) 90°
Show Answer
Answer: A) 30°
Explanation: cos θ = √3/2 corresponds to θ = 30° in the first quadrant.
Question 47
A man buys an item for $500 and sells it for $600. What is the profit percentage?
- A) 15%
- B) 20%
- C) 25%
- D) 30%
Show Answer
Answer: B) 20%
Explanation: Profit = 600 – 500 = 100. Profit % = (100 ÷ 500) × 100 = 20%.
Question 48
The surface area of a sphere with radius 4 cm is:
- A) 48π cm²
- B) 64π cm²
- C) 80π cm²
- D) 96π cm²
Show Answer
Answer: B) 64π cm²
Explanation: Surface area = 4πr² = 4 × π × 4² = 64π cm².
Question 49
If a number is increased by 10% and then decreased by 10%, what is the net percentage change?
- A) 0%
- B) 1% decrease
- C) 1% increase
- D) 2% decrease
Show Answer
Answer: B) 1% decrease
Explanation: Let number = 100. After 10% increase, number = 110. After 10% decrease, number = 110 × 0.9 = 99. Net change = (99 – 100) ÷ 100 = -1%.
Question 50
In a triangle, the angles are in the ratio 1:3:5. What is the measure of the smallest angle?
- A) 20°
- B) 25°
- C) 30°
- D) 35°
Show Answer
Answer: A) 20°
Explanation: Let angles be x, 3x, 5x. Then, x + 3x + 5x = 180 → 9x = 180 → x = 20. Smallest angle = x = 20°.
Prepare for Your Competitive Exams
These Mathematics MCQs for Competitive Exams 2025 are crafted to help you excel in exams like SSC CGL 2025, IBPS PO 2024, RRB NTPC 2025, CAT 2024, and more. Check out Series 1 and stay tuned for Series 3, coming soon! Practice regularly to master quantitative aptitude.
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माध्यमिक ,बेसिक , शिक्षा , परीक्षा न्यूज़
