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

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Mathematics MCQs for Competitive Exams 2025 – Series 4: 50 Questions with Answers

Mathematics MCQs for Competitive Exams 2025 – Series 4: 50 Questions with Answers

Welcome to Series 4 of our Mathematics MCQs for Competitive Exams on The Art News. This set includes 50 unique, copyright-free MCQs crafted for exams like SSC CGL 2025, IBPS PO 2024, RRB NTPC 2025, UPSC CSAT, and more. Each question comes with detailed solutions and references to similar question types from past exams (2021–2024).

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

SSC CGL 2025 Ratio MCQ: Number Proportion

This question resembles SSC CGL Tier 1 2022.

The ratio of two numbers is 3:5, and their sum is 80. What is the larger number?

  • A) 30
  • B) 40
  • C) 50
  • D) 60
Show Answer

Answer: C) 50

Explanation: Let numbers be 3x and 5x. Then, 3x + 5x = 8x = 80 → x = 10. Larger number = 5x = 5 × 10 = 50.

RRB NTPC 2025 Speed MCQ: Train Distance

This question resembles RRB NTPC CBT 1 2023.

A train covers 180 km in 3 hours. What is its speed in m/s?

  • A) 15 m/s
  • B) 16.67 m/s
  • C) 18 m/s
  • D) 20 m/s
Show Answer

Answer: B) 16.67 m/s

Explanation: Speed = 180 km ÷ 3 h = 60 km/h. Convert to m/s: 60 × (1000/3600) = 60 × (5/18) ≈ 16.67 m/s.

IBPS PO 2024 Algebra MCQ: Linear Equation

This question resembles IBPS PO Prelims 2022.

If 5x + 9 = 24, what is x?

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

Answer: B) 3

Explanation: 5x + 9 = 24 → 5x = 15 → x = 3.

SSC CHSL 2024 Geometry MCQ: Triangle Area

This question resembles SSC CHSL Tier 1 2023.

The area of a triangle with base 10 cm and height 5 cm is:

  • A) 25 cm²
  • B) 30 cm²
  • C) 35 cm²
  • D) 40 cm²
Show Answer

Answer: A) 25 cm²

Explanation: Area = (1/2) × base × height = (1/2) × 10 × 5 = 25 cm².

IBPS Clerk 2024 Profit and Loss MCQ: Cost Price

This question resembles IBPS Clerk Prelims 2024.

A shopkeeper sells an item for $360 at a 20% profit. What is the cost price?

  • A) $280
  • B) $300
  • C) $320
  • D) $340
Show Answer

Answer: B) $300

Explanation: Let cost price = x. Then, 1.2x = 360 → x = 360 ÷ 1.2 = $300.

RRB NTPC 2025 Number System MCQ: LCM Calculation

This question resembles RRB NTPC CBT 1 2022.

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.

UPSC CSAT 2025 Trigonometry MCQ: Cosine Angle

This question resembles UPSC CSAT 2023.

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.

SSC CGL 2025 Time and Work MCQ: Group Efficiency

This question resembles SSC CGL Tier 2 2021.

A task takes 30 days for 5 workers. How many days will 10 workers take?

  • A) 12
  • B) 15
  • C) 18
  • D) 20
Show Answer

Answer: B) 15

Explanation: Total work = 5 × 30 = 150 worker-days. Time for 10 workers = 150 ÷ 10 = 15 days.

IBPS PO 2024 Average MCQ: Mean of Numbers

This question resembles IBPS PO Mains 2022.

The average of 6 numbers is 45. If one number is 60, what is the average of the remaining five?

  • A) 40
  • B) 42
  • C) 44
  • D) 46
Show Answer

Answer: B) 42

Explanation: Total sum = 6 × 45 = 270. Sum of remaining five = 270 – 60 = 210. Average = 210 ÷ 5 = 42.

SSC CGL 2025 Algebra MCQ: Quadratic Roots

This question resembles SSC CGL Tier 2 2023.

The roots of x² – 8x + 15 = 0 are:

  • A) 3, 5
  • B) 2, 6
  • C) 4, 4
  • D) 1, 7
Show Answer

Answer: A) 3, 5

Explanation: Factorize: x² – 8x + 15 = (x – 3)(x – 5) = 0. Roots are x = 3, 5.

RRB NTPC 2025 Boats and Streams MCQ: Still Water Speed

This question resembles RRB NTPC CBT 2 2022.

A boat travels 48 km downstream in 2 hours. If the stream speed is 3 km/h, what is the boat’s speed in still water?

  • A) 18 km/h
  • B) 20 km/h
  • C) 21 km/h
  • D) 24 km/h
Show Answer

Answer: C) 21 km/h

Explanation: Downstream speed = 48 ÷ 2 = 24 km/h. Boat speed = 24 – 3 = 21 km/h.

IBPS Clerk 2024 Percentage MCQ: Original Value

This question resembles IBPS Clerk Prelims 2021.

If 25% of a number is 50, what is the number?

  • A) 150
  • B) 175
  • C) 200
  • D) 225
Show Answer

Answer: C) 200

Explanation: 0.25x = 50 → x = 50 ÷ 0.25 = 200.

SSC CHSL 2024 Geometry MCQ: Circle Circumference

This question resembles SSC CHSL Tier 1 2023.

The circumference of a circle with radius 7 cm is:

  • A) 44 cm
  • B) 48 cm
  • C) 52 cm
  • D) 56 cm
Show Answer

Answer: A) 44 cm

Explanation: Circumference = 2πr = 2 × (22/7) × 7 = 44 cm.

UPSC CSAT 2025 Trigonometry MCQ: Sine Angle

This question resembles UPSC CSAT 2022.

If sin θ = √3/2 and θ is in the first quadrant, what is θ?

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

Answer: C) 60°

Explanation: sin θ = √3/2 corresponds to θ = 60° in the first quadrant.

IBPS PO 2024 Simple Interest MCQ: Interest Amount

This question resembles IBPS PO Prelims 2022.

What is the simple interest on $4000 at 5% per annum for 3 years?

  • A) $500
  • B) $600
  • C) $700
  • D) $800
Show Answer

Answer: B) $600

Explanation: Simple Interest = (4000 × 5 × 3) ÷ 100 = $600.

RRB NTPC 2025 Number System MCQ: HCF Calculation

This question resembles RRB NTPC CBT 1 2021.

The HCF of 18 and 27 is:

  • A) 6
  • B) 9
  • C) 12
  • D) 18
Show Answer

Answer: B) 9

Explanation: Prime factors: 18 = 2 × 3², 27 = 3³. HCF = 3² = 9.

SSC CGL 2025 Percentage MCQ: Decreased Value

This question resembles SSC CGL Tier 1 2024.

A number decreased by 10% gives 90. What is the original number?

  • A) 95
  • B) 100
  • C) 105
  • D) 110
Show Answer

Answer: B) 100

Explanation: Let number = x. Then, 0.9x = 90 → x = 90 ÷ 0.9 = 100.

SSC CHSL 2024 Geometry MCQ: Rectangular Prism Volume

This question resembles SSC CHSL Tier 1 2021.

The volume of a rectangular prism with length 6 cm, width 4 cm, and height 5 cm is:

  • A) 100 cm³
  • B) 110 cm³
  • C) 120 cm³
  • D) 130 cm³
Show Answer

Answer: C) 120 cm³

Explanation: Volume = length × width × height = 6 × 4 × 5 = 120 cm³.

CAT 2024 Algebra MCQ: Polynomial Evaluation

This question resembles CAT 2023.

If x = 3, what is the value of x² + 2x – 3?

  • A) 9
  • B) 10
  • C) 11
  • D) 12
Show Answer

Answer: D) 12

Explanation: x² + 2x – 3 = 3² + 2 × 3 – 3 = 9 + 6 – 3 = 12.

SSC CGL 2025 Time and Work MCQ: Pipe Filling

This question resembles SSC CGL Tier 2 2022.

A pipe fills a tank in 15 hours. How long will 5 pipes take?

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

Answer: B) 3 hours

Explanation: One pipe’s rate = 1/15 tank per hour. Five pipes’ rate = 5 × (1/15) = 1/3. Time = 1 ÷ (1/3) = 3 hours.

IBPS PO 2024 Number Series MCQ: Consecutive Numbers

This question resembles IBPS PO Prelims 2021.

The sum of four consecutive even numbers is 100. What is the smallest number?

  • A) 20
  • B) 22
  • C) 24
  • D) 26
Show Answer

Answer: B) 22

Explanation: Let numbers be n, n+2, n+4, n+6. Then, 4n + 12 = 100 → 4n = 88 → n = 22.

SSC CGL 2025 Data Interpretation MCQ: Bar Chart

This question resembles SSC CGL Tier 1 2023.

A bar chart shows sales of 200 units in January and 250 units in February. What is the percentage increase?

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

Answer: B) 25%

Explanation: Increase = 250 – 200 = 50. Percentage increase = (50 ÷ 200) × 100 = 25%.

IBPS Clerk 2024 Discount MCQ: Selling Price

This question resembles IBPS Clerk Prelims 2022.

An item is sold for $400 after a 20% discount. What is the original price?

  • A) $450
  • B) $475
  • C) $500
  • D) $525
Show Answer

Answer: C) $500

Explanation: Let original price = x. Then, 0.8x = 400 → x = 400 ÷ 0.8 = $500.

SSC CHSL 2024 Geometry MCQ: Polygon Angles

This question resembles SSC CHSL Tier 1 2024.

The sum of interior angles of a hexagon is:

  • A) 540°
  • B) 720°
  • C) 900°
  • D) 1080°
Show Answer

Answer: B) 720°

Explanation: Sum = (n-2) × 180°. For a hexagon (n=6), sum = (6-2) × 180° = 720°.

RRB NTPC 2025 Distance MCQ: Car Journey

This question resembles RRB NTPC CBT 1 2023.

A car travels at 60 km/h for 2.5 hours. What is the distance covered?

  • A) 140 km
  • B) 150 km
  • C) 160 km
  • D) 170 km
Show Answer

Answer: B) 150 km

Explanation: Distance = 60 × 2.5 = 150 km.

CAT 2024 Algebra MCQ: Equation System

This question resembles CAT 2022.

If x + y = 10 and x – y = 4, what is x?

  • A) 5
  • B) 6
  • C) 7
  • D) 8
Show Answer

Answer: C) 7

Explanation: Add equations: (x + y) + (x – y) = 10 + 4 → 2x = 14 → x = 7.

IBPS PO 2024 Profit and Loss MCQ: Loss Percentage

This question resembles IBPS PO Mains 2023.

An item bought for $500 is sold for $450. What is the loss percentage?

  • A) 8%
  • B) 10%
  • C) 12%
  • D) 15%
Show Answer

Answer: B) 10%

Explanation: Loss = 500 – 450 = 50. Loss % = (50 ÷ 500) × 100 = 10%.

RRB NTPC 2025 Boats and Streams MCQ: Downstream Speed

This question resembles RRB NTPC CBT 2 2021.

A boat’s speed in still water is 20 km/h, and the stream speed is 5 km/h. What is the downstream speed?

  • A) 15 km/h
  • B) 20 km/h
  • C) 25 km/h
  • D) 30 km/h
Show Answer

Answer: C) 25 km/h

Explanation: Downstream speed = 20 + 5 = 25 km/h.

SSC CGL 2025 Average MCQ: Data Set Mean

This question resembles SSC CGL Tier 1 2022.

The mean of 15, 25, 35, 45 is:

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

Answer: B) 30

Explanation: Mean = (15 + 25 + 35 + 45) ÷ 4 = 120 ÷ 4 = 30.

SSC CGL 2025 Algebra MCQ: Quadratic Equation

This question resembles SSC CGL Tier 2 2023.

If 4x² – 16x + 16 = 0, what is x?

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

Answer: B) 2

Explanation: Divide by 4: x² – 4x + 4 = 0 → (x – 2)² = 0 → x = 2.

IBPS PO 2024 Compound Interest MCQ: Total Amount

This question resembles IBPS PO Mains 2022.

What is the compound interest on $5000 at 4% per annum for 2 years?

  • A) $400
  • B) $408
  • C) $416
  • D) $424
Show Answer

Answer: B) $408

Explanation: Amount = 5000 × (1 + 0.04)² = 5000 × 1.0816 = $5408. Interest = 5408 – 5000 = $408.

SSC CHSL 2024 Geometry MCQ: Square Perimeter

This question resembles SSC CHSL Tier 1 2023.

The perimeter of a square with side 8 cm is:

  • A) 24 cm
  • B) 28 cm
  • C) 32 cm
  • D) 36 cm
Show Answer

Answer: C) 32 cm

Explanation: Perimeter = 4 × side = 4 × 8 = 32 cm.

CAT 2024 Number System MCQ: Divisibility

This question resembles CAT 2021.

What is the remainder when 25 is divided by 6?

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

Answer: A) 1

Explanation: 25 ÷ 6 = 4 remainder 1 (since 6 × 4 = 24, and 25 – 24 = 1).

SSC CGL 2025 Number Series MCQ: Odd Numbers

This question resembles SSC CGL Tier 1 2021.

The sum of the first 5 odd numbers is:

  • A) 15
  • B) 20
  • C) 25
  • D) 30
Show Answer

Answer: C) 25

Explanation: First 5 odd numbers: 1, 3, 5, 7, 9. Sum = 1 + 3 + 5 + 7 + 9 = 25.

IBPS PO 2024 Profit and Loss MCQ: Profit with Discount

This question resembles IBPS PO Mains 2021.

A shopkeeper marks an item 25% above cost price and gives a 10% discount. If the cost price is $400, what is the profit?

  • A) $40
  • B) $45
  • C) $50
  • D) $55
Show Answer

Answer: C) $50

Explanation: Marked price = 400 × 1.25 = $500. Selling price after 10% discount = 500 × 0.9 = $450. Profit = 450 – 400 = $50.

UPSC CSAT 2025 Trigonometry MCQ: Tangent Angle

This question resembles UPSC CSAT 2024.

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.

IBPS Clerk 2024 Profit and Loss MCQ: Selling Price

This question resembles IBPS Clerk Prelims 2023.

An item is sold for $600 with a 20% profit. What is the cost price?

  • A) $480
  • B) $500
  • C) $520
  • D) $540
Show Answer

Answer: B) $500

Explanation: Let cost price = x. Then, 1.2x = 600 → x = 600 ÷ 1.2 = $500.

SSC CHSL 2024 Geometry MCQ: Cylinder Surface Area

This question resembles SSC CHSL Tier 1 2022.

The curved surface area of a cylinder with radius 4 cm and height 7 cm is:

  • A) 176 cm²
  • B) 184 cm²
  • C) 192 cm²
  • D) 200 cm²
Show Answer

Answer: A) 176 cm²

Explanation: Curved surface area = 2πrh = 2 × (22/7) × 4 × 7 = 176 cm².

SSC CGL 2025 Percentage MCQ: Sequential Percentage

This question resembles SSC CGL Tier 1 2023.

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%.

SSC CHSL 2024 Geometry MCQ: Quadrilateral Angles

This question resembles SSC CHSL Tier 1 2021.

The angles of a quadrilateral are in the ratio 2:3:4:5. What is the largest angle?

  • A) 90°
  • B) 100°
  • C) 120°
  • D) 150°
Show Answer

Answer: C) 120°

Explanation: Let angles be 2x, 3x, 4x, 5x. Then, 2x + 3x + 4x + 5x = 360 → 14x = 360 → x = 25.71. Largest angle = 5x ≈ 5 × 24 = 120°.

SSC CGL 2025 Algebra MCQ: Linear System

This question resembles SSC CGL Tier 2 2022.

If 3x + 2y = 16 and x + y = 6, what is y?

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

Answer: B) 3

Explanation: From x + y = 6, x = 6 – y. Substitute in 3x + 2y = 16: 3(6 – y) + 2y = 16 → 18 – 3y + 2y = 16 → y = 3.

RRB NTPC 2025 Speed MCQ: Train Journey

This question resembles RRB NTPC CBT 1 2022.

A train travels 450 km in 6 hours. What is its speed in km/h?

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

Answer: B) 75 km/h

Explanation: Speed = 450 ÷ 6 = 75 km/h.

SSC CHSL 2024 Geometry MCQ: Rectangle Area

This question resembles SSC CHSL Tier 1 2023.

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.

SSC CGL 2025 Time and Work MCQ: Worker Days

This question resembles SSC CGL Tier 2 2021.

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.

IBPS PO 2024 Exponents MCQ: Base Power

This question resembles IBPS PO Prelims 2022.

The value of 3³ × 2² is:

  • A) 96
  • B) 108
  • C) 120
  • D) 132
Show Answer

Answer: A) 96

Explanation: 3³ = 27, 2² = 4. So, 27 × 4 = 108.

SSC CGL 2025 Percentage MCQ: Increase Calculation

This question resembles SSC CGL Tier 1 2024.

A number increased by 20% gives 144. What is the original number?

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

Answer: C) 120

Explanation: Let number = x. Then, 1.2x = 144 → x = 144 ÷ 1.2 = 120.

SSC CHSL 2024 Geometry MCQ: Triangle Angles

This question resembles SSC CHSL Tier 1 2022.

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

  • A) 20°
  • B) 30°
  • C) 40°
  • D) 50°
Show Answer

Answer: B) 30°

Explanation: Let angles be x, 2x, 3x. Then, x + 2x + 3x = 180 → 6x = 180 → x = 30. Smallest angle = x = 30°.

CAT 2024 Algebra MCQ: Expression Evaluation

This question resembles CAT 2023.

If a = 5 and b = 2, what is the value of a² – b²?

  • A) 19
  • B) 21
  • C) 23
  • D) 25
Show Answer

Answer: B) 21

Explanation: a² – b² = 5² – 2² = 25 – 4 = 21.

RRB NTPC 2025 Boats and Streams MCQ: Upstream Time

This question resembles RRB NTPC CBT 2 2022.

A boat travels 36 km upstream in 4 hours. If the stream speed is 2 km/h, what is the boat’s speed in still water?

  • A) 9 km/h
  • B) 10 km/h
  • C) 11 km/h
  • D) 12 km/h
Show Answer

Answer: C) 11 km/h

Explanation: Upstream speed = 36 ÷ 4 = 9 km/h. Boat speed = 9 + 2 = 11 km/h.

SSC CHSL 2024 Geometry MCQ: Circle Area

This question resembles SSC CHSL Tier 1 2023.

The area of a circle with diameter 14 cm is:

  • A) 144 cm²
  • B) 154 cm²
  • C) 164 cm²
  • D) 174 cm²
Show Answer

Answer: B) 154 cm²

Explanation: Radius = 14/2 = 7 cm. Area = πr² = (22/7) × 7² = 154 cm².

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. Visit The Art News for more practice series!


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