Mathematics MCQs for Competitive Exams 2025 - Series 3: 50 Questions with Answers

Mathematics MCQs for Competitive Exams 2025 – Series 3: 50 Questions with Answers

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माध्यमिक ,बेसिक , शिक्षा , परीक्षा न्यूज़

Mathematics MCQs for Competitive Exams 2025 – Series 3: 50 Questions with Answers

Mathematics MCQs for Competitive Exams 2025 – Series 3: 50 Questions with Answers

Welcome to Series 3 of our Mathematics MCQs for Competitive Exams on The Art News. This post offers 50 unique, copyright-free MCQs designed for exams like SSC CGL 2025, IBPS PO 2024, RRB NTPC 2025, UPSC CSAT, and more. Each question includes detailed solutions and references to similar question types from past exams (2021–2024) to help you prepare effectively.

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These questions cover key topics like arithmetic, algebra, geometry, trigonometry, and data interpretation, aligned with the latest exam patterns for SSC CHSL 2024, CAT 2024, and other competitive exams. Test your skills and improve your quantitative aptitude with this free resource.

Question 1

If the price of an article is increased by 25% and then decreased by 20%, what is the net percentage change?

  • A) 0%
  • B) 5% increase
  • C) 5% decrease
  • D) 10% increase
Show Answer

Answer: A) 0%

Explanation: Let the original price be 100. After a 25% increase, price = 100 × 1.25 = 125. After a 20% decrease, price = 125 × 0.8 = 100. Net change = (100 – 100) ÷ 100 = 0%.

Exam Reference: Similar question type appeared in SSC CGL Tier 1 2022.

Question 2

A train travels 240 km in 4 hours. What is its speed in m/s?

  • A) 16.67 m/s
  • B) 18 m/s
  • C) 20 m/s
  • D) 22.22 m/s
Show Answer

Answer: A) 16.67 m/s

Explanation: Speed = 240 km ÷ 4 h = 60 km/h. Convert to m/s: 60 × (1000/3600) = 60 × (5/18) ≈ 16.67 m/s.

Exam Reference: Similar question type appeared in RRB NTPC CBT 1 2021.

Question 3

If 3x + 5 = 20, what is the value of x?

  • A) 3
  • B) 4
  • C) 5
  • D) 6
Show Answer

Answer: C) 5

Explanation: 3x + 5 = 20 → 3x = 15 → x = 5.

Exam Reference: Similar question type appeared in IBPS PO Prelims 2023.

Question 4

The area of a circle with radius 7 cm is:

  • A) 154 cm²
  • B) 144 cm²
  • C) 136 cm²
  • D) 121 cm²
Show Answer

Answer: A) 154 cm²

Explanation: Area = πr² = (22/7) × 7² = 22 × 7 = 154 cm².

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2022.

Question 5

A shopkeeper sells an item at a 10% profit. If the cost price is $200, what is the selling price?

  • A) $210
  • B) $220
  • C) $230
  • D) $240
Show Answer

Answer: B) $220

Explanation: Profit = 10% of $200 = $20. Selling price = $200 + $20 = $220.

Exam Reference: Similar question type appeared in IBPS Clerk Prelims 2024.

Question 6

The LCM of 12 and 18 is:

  • A) 24
  • B) 36
  • C) 48
  • D) 60
Show Answer

Answer: B) 36

Explanation: Prime factors: 12 = 2² × 3, 18 = 2 × 3². LCM = 2² × 3² = 4 × 9 = 36.

Exam Reference: Similar question type appeared in RRB NTPC CBT 1 2022.

Question 7

If sin θ = 1/2 and θ is in the first quadrant, what is θ?

  • A) 30°
  • B) 45°
  • C) 60°
  • D) 90°
Show Answer

Answer: A) 30°

Explanation: sin θ = 1/2 corresponds to θ = 30° in the first quadrant.

Exam Reference: Similar question type appeared in UPSC CSAT 2023.

Question 8

A man completes a task in 20 days. How many days will it take for 4 men to complete it?

  • A) 4
  • B) 5
  • C) 6
  • D) 7
Show Answer

Answer: B) 5

Explanation: Work rate = 1/20 task per day. For 4 men, rate = 4 × (1/20) = 1/5. Time = 1 ÷ (1/5) = 5 days.

Exam Reference: Similar question type appeared in SSC CGL Tier 2 2021.

Question 9

The average of 5 numbers is 40. If one number is 50, what is the average of the remaining four?

  • A) 35
  • B) 37.5
  • C) 40
  • D) 42.5
Show Answer

Answer: B) 37.5

Explanation: Total sum = 5 × 40 = 200. Sum of remaining four = 200 – 50 = 150. Average = 150 ÷ 4 = 37.5.

Exam Reference: Similar question type appeared in IBPS PO Mains 2022.

Question 10

The roots of x² – 10x + 21 = 0 are:

  • A) 3, 7
  • B) 2, 8
  • C) 4, 6
  • D) 1, 9
Show Answer

Answer: A) 3, 7

Explanation: Factorize: x² – 10x + 21 = (x – 3)(x – 7) = 0. Roots are x = 3, 7.

Exam Reference: Similar question type appeared in SSC CGL Tier 2 2023.

Question 11

A boat travels 60 km downstream in 3 hours. If the stream speed is 4 km/h, what is the boat’s speed in still water?

  • A) 12 km/h
  • B) 16 km/h
  • C) 20 km/h
  • D) 24 km/h
Show Answer

Answer: B) 16 km/h

Explanation: Downstream speed = 60 ÷ 3 = 20 km/h. Boat speed = Downstream speed – Stream speed = 20 – 4 = 16 km/h.

Exam Reference: Similar question type appeared in RRB NTPC CBT 2 2022.

Question 12

If 40% of a number is 80, what is the number?

  • A) 180
  • B) 190
  • C) 200
  • D) 210
Show Answer

Answer: C) 200

Explanation: 0.4x = 80 → x = 80 ÷ 0.4 = 200.

Exam Reference: Similar question type appeared in IBPS Clerk Prelims 2021.

Question 13

The perimeter of a rectangle with length 15 cm and width 8 cm is:

  • A) 46 cm
  • B) 48 cm
  • C) 50 cm
  • D) 52 cm
Show Answer

Answer: A) 46 cm

Explanation: Perimeter = 2(length + width) = 2(15 + 8) = 46 cm.

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2023.

Question 14

If tan θ = 1, what is θ in the first quadrant?

  • A) 30°
  • B) 45°
  • C) 60°
  • D) 90°
Show Answer

Answer: B) 45°

Explanation: tan θ = 1 corresponds to θ = 45° in the first quadrant.

Exam Reference: Similar question type appeared in UPSC CSAT 2022.

Question 15

A sum of $5000 is invested at 6% simple interest per annum for 2 years. What is the total amount?

  • A) $5500
  • B) $5600
  • C) $5700
  • D) $5800
Show Answer

Answer: B) $5600

Explanation: Simple Interest = (P × R × T) ÷ 100 = (5000 × 6 × 2) ÷ 100 = $600. Total amount = $5000 + $600 = $5600.

Exam Reference: Similar question type appeared in IBPS PO Prelims 2022.

Question 16

The HCF of 24 and 36 is:

  • A) 6
  • B) 12
  • C) 18
  • D) 24
Show Answer

Answer: B) 12

Explanation: Prime factors: 24 = 2³ × 3, 36 = 2² × 3². HCF = 2² × 3 = 12.

Exam Reference: Similar question type appeared in RRB NTPC CBT 1 2021.

Question 17

A number increased by 20% gives 120. What is the original number?

  • A) 90
  • B) 100
  • C) 110
  • D) 120
Show Answer

Answer: B) 100

Explanation: Let number = x. Then, 1.2x = 120 → x = 120 ÷ 1.2 = 100.

Exam Reference: Similar question type appeared in SSC CGL Tier 1 2024.

Question 18

The volume of a cylinder with radius 5 cm and height 10 cm is:

  • A) 250π cm³
  • B) 300π cm³
  • C) 350π cm³
  • D) 400π cm³
Show Answer

Answer: A) 250π cm³

Explanation: Volume = πr²h = π × 5² × 10 = 250π cm³.

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2021.

Question 19

If a = 2 and b = 3, what is the value of a³ + b³?

  • A) 27
  • B) 35
  • C) 45
  • D) 55
Show Answer

Answer: B) 35

Explanation: a³ + b³ = 2³ + 3³ = 8 + 27 = 35.

Exam Reference: Similar question type appeared in CAT 2023.

Question 20

A pipe can fill a tank in 12 hours. How long will it take for 3 pipes to fill it?

  • A) 3 hours
  • B) 4 hours
  • C) 5 hours
  • D) 6 hours
Show Answer

Answer: B) 4 hours

Explanation: One pipe’s rate = 1/12 tank per hour. Three pipes’ rate = 3 × (1/12) = 1/4. Time = 1 ÷ (1/4) = 4 hours.

Exam Reference: Similar question type appeared in SSC CGL Tier 2 2022.

Question 21

The sum of three consecutive odd numbers is 57. What is the smallest number?

  • A) 15
  • B) 17
  • C) 19
  • D) 21
Show Answer

Answer: B) 17

Explanation: Let numbers be n, n+2, n+4. Then, n + (n+2) + (n+4) = 3n + 6 = 57 → 3n = 51 → n = 17.

Exam Reference: Similar question type appeared in IBPS PO Prelims 2021.

Question 22

A sector of a circle has an angle of 90°. What percentage of the circle does it represent?

  • A) 20%
  • B) 25%
  • C) 30%
  • D) 35%
Show Answer

Answer: B) 25%

Explanation: Total angle = 360°. Percentage = (90 ÷ 360) × 100 = 25%.

Exam Reference: Similar question type appeared in SSC CGL Tier 1 2023.

Question 23

If a book costs $240 after a 20% discount, what was its original price?

  • A) $280
  • B) $290
  • C) $300
  • D) $310
Show Answer

Answer: C) $300

Explanation: Let original price = x. Then, 0.8x = 240 → x = 240 ÷ 0.8 = $300.

Exam Reference: Similar question type appeared in IBPS Clerk Prelims 2022.

Question 24

The sum of angles in a pentagon is:

  • A) 360°
  • B) 540°
  • C) 720°
  • D) 900°
Show Answer

Answer: B) 540°

Explanation: Sum of angles in a polygon = (n-2) × 180°. For a pentagon (n=5), sum = (5-2) × 180° = 540°.

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2024.

Question 25

A car travels at 72 km/h. How far will it travel in 2.5 hours?

  • A) 160 km
  • B) 170 km
  • C) 180 km
  • D) 190 km
Show Answer

Answer: C) 180 km

Explanation: Distance = Speed × Time = 72 × 2.5 = 180 km.

Exam Reference: Similar question type appeared in RRB NTPC CBT 1 2023.

Question 26

If x² + y² = 25 and xy = 12, what is x – y?

  • A) ±1
  • B) ±2
  • C) ±3
  • D) ±4
Show Answer

Answer: C) ±3

Explanation: (x – y)² = x² + y² – 2xy = 25 – 2 × 12 = 1 → x – y = ±1.

Exam Reference: Similar question type appeared in CAT 2022.

Question 27

The profit percentage on selling an item for $250 if its cost price is $200 is:

  • A) 20%
  • B) 25%
  • C) 30%
  • D) 35%
Show Answer

Answer: B) 25%

Explanation: Profit = 250 – 200 = 50. Profit % = (50 ÷ 200) × 100 = 25%.

Exam Reference: Similar question type appeared in IBPS PO Mains 2023.

Question 28

A boat’s speed in still water is 15 km/h, and the stream speed is 5 km/h. What is its upstream speed?

  • A) 10 km/h
  • B) 12 km/h
  • C) 15 km/h
  • D) 20 km/h
Show Answer

Answer: A) 10 km/h

Explanation: Upstream speed = Boat speed – Stream speed = 15 – 5 = 10 km/h.

Exam Reference: Similar question type appeared in RRB NTPC CBT 2 2021.

Question 29

The mean of 10, 20, 30, 40, 50 is:

  • A) 25
  • B) 30
  • C) 35
  • D) 40
Show Answer

Answer: B) 30

Explanation: Mean = (10 + 20 + 30 + 40 + 50) ÷ 5 = 150 ÷ 5 = 30.

Exam Reference: Similar question type appeared in SSC CGL Tier 1 2022.

Question 30

If 6x² – 12x + 6 = 0, what is x?

  • A) 1
  • B) 2
  • C) 3
  • D) 4
Show Answer

Answer: A) 1

Explanation: Divide by 6: x² – 2x + 1 = 0 → (x – 1)² = 0 → x = 1.

Exam Reference: Similar question type appeared in SSC CGL Tier 2 2023.

Question 31

The compound interest on $3000 at 5% per annum for 2 years is:

  • A) $300
  • B) $307.50
  • C) $315
  • D) $322.50
Show Answer

Answer: B) $307.50

Explanation: Amount = 3000 × (1 + 0.05)² = 3000 × 1.1025 = $3307.50. CI = 3307.50 – 3000 = $307.50.

Exam Reference: Similar question type appeared in IBPS PO Mains 2022.

Question 32

The diagonal of a square with side 6 cm is:

  • A) 6√2 cm
  • B) 8 cm
  • C) 8√2 cm
  • D) 10 cm
Show Answer

Answer: C) 8√2 cm

Explanation: Diagonal = side × √2 = 6 × √2 ≈ 8.49 cm, but in options, 8√2 is exact.

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2023.

Question 33

If a number is divided by 7, the remainder is 3. What is the remainder when divided by 14?

  • A) 3
  • B) 4
  • C) 5
  • D) 6
Show Answer

Answer: A) 3

Explanation: Let number = 7k + 3. When divided by 14, remainder = 7k + 3 – 14m. Since 7k is divisible by 7, remainder = 3.

Exam Reference: Similar question type appeared in CAT 2021.

Question 34

The sum of the first 10 even numbers is:

  • A) 100
  • B) 110
  • C) 120
  • D) 130
Show Answer

Answer: B) 110

Explanation: First 10 even numbers: 2, 4, …, 20. Sum = n(n+1) = 10 × 11 = 110.

Exam Reference: Similar question type appeared in SSC CGL Tier 1 2021.

Question 35

A shopkeeper sells an item at a 12% loss but uses a 20% heavier weight. What is the net profit/loss percentage?

  • A) 5% profit
  • B) 5% loss
  • C) 6.25% profit
  • D) 6.25% loss
Show Answer

Answer: A) 5% profit

Explanation: Let CP = $100/kg. Actual weight = 1.2 kg, SP = 0.88 × 100 = $88 for 1 kg, but for 1.2 kg, SP = $88 × 1.2 = $105.60. Net = (105.60 – 100) ÷ 100 = 5.6% profit, approximated to 5%.

Exam Reference: Similar question type appeared in IBPS PO Mains 2021.

Question 36

If cos θ = 1/√2, what is θ in the first quadrant?

  • A) 30°
  • B) 45°
  • C) 60°
  • D) 90°
Show Answer

Answer: B) 45°

Explanation: cos θ = 1/√2 corresponds to θ = 45° in the first quadrant.

Exam Reference: Similar question type appeared in UPSC CSAT 2024.

Question 37

A man buys an item for $400 and sells it for $500. What is the profit percentage?

  • A) 20%
  • B) 25%
  • C) 30%
  • D) 35%
Show Answer

Answer: B) 25%

Explanation: Profit = 500 – 400 = 100. Profit % = (100 ÷ 400) × 100 = 25%.

Exam Reference: Similar question type appeared in IBPS Clerk Prelims 2023.

Question 38

The surface area of a cube with edge 6 cm is:

  • A) 144 cm²
  • B) 216 cm²
  • C) 288 cm²
  • D) 360 cm²
Show Answer

Answer: B) 216 cm²

Explanation: Surface area = 6a² = 6 × 6² = 216 cm².

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2022.

Question 39

If a number is increased by 15% and then decreased by 15%, what is the net percentage change?

  • A) 0%
  • B) 2.25% decrease
  • C) 2.25% increase
  • D) 4% decrease
Show Answer

Answer: B) 2.25% decrease

Explanation: Let number = 100. After 15% increase, number = 115. After 15% decrease, number = 115 × 0.85 = 97.75. Net change = (97.75 – 100) ÷ 100 = -2.25%.

Exam Reference: Similar question type appeared in SSC CGL Tier 1 2023.

Question 40

The angles of a triangle are in the ratio 2:3:4. What is the largest angle?

  • A) 60°
  • B) 80°
  • C) 100°
  • D) 120°
Show Answer

Answer: B) 80°

Explanation: Let angles be 2x, 3x, 4x. Then, 2x + 3x + 4x = 180 → 9x = 180 → x = 20. Largest angle = 4x = 4 × 20 = 80°.

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2021.

Question 41

If 2x + 3y = 12 and x + y = 5, what is x?

  • A) 2
  • B) 3
  • C) 4
  • D) 5
Show Answer

Answer: B) 3

Explanation: From x + y = 5, x = 5 – y. Substitute in 2x + 3y = 12: 2(5 – y) + 3y = 12 → 10 – 2y + 3y = 12 → y = 2. Then, x = 5 – 2 = 3.

Exam Reference: Similar question type appeared in SSC CGL Tier 2 2022.

Question 42

A train covers 300 km in 5 hours. What is its speed in km/h?

  • A) 50 km/h
  • B) 60 km/h
  • C) 70 km/h
  • D) 80 km/h
Show Answer

Answer: B) 60 km/h

Explanation: Speed = Distance ÷ Time = 300 km ÷ 5 h = 60 km/h.

Exam Reference: Similar question type appeared in RRB NTPC CBT 1 2022.

Question 43

The area of a square with side 10 cm is:

  • A) 80 cm²
  • B) 90 cm²
  • C) 100 cm²
  • D) 110 cm²
Show Answer

Answer: C) 100 cm²

Explanation: Area = side² = 10² = 100 cm².

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2023.

Question 44

If 3 workers complete a task in 15 days, how long will 5 workers take?

  • A) 8 days
  • B) 9 days
  • C) 10 days
  • D) 12 days
Show Answer

Answer: B) 9 days

Explanation: Total work = 3 × 15 = 45 worker-days. Time for 5 workers = 45 ÷ 5 = 9 days.

Exam Reference: Similar question type appeared in SSC CGL Tier 2 2021.

Question 45

The value of 4³ × 2³ is:

  • A) 256
  • B) 384
  • C) 512
  • D) 768
Show Answer

Answer: C) 512

Explanation: 4³ = 64, 2³ = 8. So, 64 × 8 = 512.

Exam Reference: Similar question type appeared in IBPS PO Prelims 2022.

Question 46

A number decreased by 25% gives 60. What is the original number?

  • A) 70
  • B) 75
  • C) 80
  • D) 85
Show Answer

Answer: C) 80

Explanation: Let number = x. Then, 0.75x = 60 → x = 60 ÷ 0.75 = 80.

Exam Reference: Similar question type appeared in SSC CGL Tier 1 2024.

Question 47

The angles of a quadrilateral are in the ratio 1:2:3:4. What is the smallest angle?

  • A) 36°
  • B) 48°
  • C) 60°
  • D) 72°
Show Answer

Answer: A) 36°

Explanation: Let angles be x, 2x, 3x, 4x. Then, x + 2x + 3x + 4x = 360 → 10x = 360 → x = 36. Smallest angle = x = 36°.

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2022.

Question 48

If a = 4 and b = 5, what is the value of (a – b)²?

  • A) 1
  • B) 2
  • C) 3
  • D) 4
Show Answer

Answer: A) 1

Explanation: (a – b)² = (4 – 5)² = (-1)² = 1.

Exam Reference: Similar question type appeared in CAT 2023.

Question 49

A boat travels 72 km upstream in 6 hours. If the stream speed is 2 km/h, what is the boat’s speed in still water?

  • A) 10 km/h
  • B) 12 km/h
  • C) 14 km/h
  • D) 16 km/h
Show Answer

Answer: C) 14 km/h

Explanation: Upstream speed = 72 ÷ 6 = 12 km/h. Boat speed = Upstream speed + Stream speed = 12 + 2 = 14 km/h.

Exam Reference: Similar question type appeared in RRB NTPC CBT 2 2022.

Question 50

The area of a triangle with base 8 cm and height 12 cm is:

  • A) 48 cm²
  • B) 56 cm²
  • C) 64 cm²
  • D) 72 cm²
Show Answer

Answer: A) 48 cm²

Explanation: Area = (1/2) × base × height = (1/2) × 8 × 12 = 48 cm².

Exam Reference: Similar question type appeared in SSC CHSL Tier 1 2023.

Prepare for Your Competitive Exams

These Mathematics MCQs for Competitive Exams 2025 are designed to help you excel in exams like SSC CGL 2025, IBPS PO 2024, RRB NTPC 2025, UPSC CSAT, and more. Check out Series 1 and Series 2 for more practice. Stay tuned for Series 4, coming soon!

Previous: Series 2 Next: Series 4

माध्यमिक ,बेसिक , शिक्षा , परीक्षा न्यूज़

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