Math Mastery: 50 MCQs for SSC CGL 2025, IBPS PO 2024, RRB NTPC, NDA, UP Police SI, UP Lekhpal

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Math Mastery: 50 MCQs for SSC CGL 2025, IBPS PO 2024, RRB NTPC, NDA, UP Police SI, UP Lekhpal – Series 57

Math Mastery: 50 MCQs for SSC CGL 2025, IBPS PO 2024, RRB NTPC, NDA, UP Police SI, UP Lekhpal – Series 57

Welcome to Series 57 of our Math MCQs for Competitive Exams on The Art News. This set includes 50 unique, copyright-free MCQs designed for exams like SSC CGL 2025, IBPS PO 2024, RRB NTPC 2025, NDA 2025, UP Police SI 2025, UP Lekhpal 2025, and more. Each question includes a reference to a similar question type from past exams (2021–2024) or upcoming exams (2025) with detailed solutions.

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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, NDA 2025, UP Police SI 2025, UP Lekhpal 2025, and other competitive exams. Strengthen your quantitative aptitude with this free resource.

NDA 2025 Algebra MCQ: Linear Equation

This question resembles NDA 1 2023.

If 7x + 4 = 32, what is x?

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

Answer: B) 4

Explanation: 7x + 4 = 32 → 7x = 28 → x = 28 ÷ 7 = 4.

UP Police SI 2025 Percentage MCQ: Increase Calculation

This question resembles UP Police SI 2022.

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.

SSC CGL 2025 Simplification MCQ: Expression Evaluation

This question resembles SSC CGL Tier 1 2024.

Simplify: 48 ÷ 4 × 6 + 8 – 3

  • A) 74
  • B) 75
  • C) 76
  • D) 77
Show Answer

Answer: D) 77

Explanation: Using BODMAS: 48 ÷ 4 = 12, 12 × 6 = 72, 72 + 8 = 80, 80 – 3 = 77.

UP Lekhpal 2025 Geometry MCQ: Rectangle Area

This question resembles UP Lekhpal 2022.

The area of a rectangle with length 22 cm and width 10 cm is:

  • A) 210 cm²
  • B) 220 cm²
  • C) 230 cm²
  • D) 240 cm²
Show Answer

Answer: B) 220 cm²

Explanation: Area = length × width = 22 × 10 = 220 cm².

IBPS PO 2024 Profit and Loss MCQ: Profit Percentage

This question resembles IBPS PO Prelims 2023.

An item bought for $500 is sold for $650. What is the profit percentage?

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

Answer: B) 30%

Explanation: Profit = 650 – 500 = $150. Profit % = (150 ÷ 500) × 100 = 30%.

RRB NTPC 2025 Number System MCQ: HCF

This question resembles RRB NTPC CBT 1 2021.

The HCF of 96 and 120 is:

  • A) 12
  • B) 18
  • C) 24
  • D) 30
Show Answer

Answer: C) 24

Explanation: Prime factors: 96 = 2⁵ × 3, 120 = 2³ × 3 × 5. HCF = 2³ × 3 = 24.

NDA 2025 Trigonometry MCQ: Cosecant Angle

This question resembles NDA 2 2024.

If cosec θ = 2, what is θ in the first quadrant?

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

Answer: A) 30°

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

UP Police SI 2025 Time and Work MCQ: Worker Efficiency

This question resembles UP Police SI 2023.

A task takes 40 days for 8 workers. How many days will 16 workers take?

  • A) 18 days
  • B) 20 days
  • C) 22 days
  • D) 24 days
Show Answer

Answer: B) 20 days

Explanation: Total work = 8 × 40 = 320 worker-days. Time for 16 workers = 320 ÷ 16 = 20 days.

IBPS PO 2024 Average MCQ: Mean Calculation

This question resembles IBPS PO Prelims 2021.

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

  • A) 28
  • B) 29
  • C) 30
  • D) 31
Show Answer

Answer: C) 30

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

SSC CGL 2025 Algebra MCQ: Quadratic Roots

This question resembles SSC CGL Tier 2 2023.

The roots of x² – 10x + 24 = 0 are:

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

Answer: A) 4, 6

Explanation: Factorize: x² – 10x + 24 = (x – 4)(x – 6) = 0. Roots are x = 4, 6.

RRB NTPC 2025 Boats and Streams MCQ: Upstream Speed

This question resembles RRB NTPC CBT 2 2021.

A boat’s speed in still water is 30 km/h, and the stream speed is 5 km/h. What is the upstream speed?

  • A) 23 km/h
  • B) 24 km/h
  • C) 25 km/h
  • D) 26 km/h
Show Answer

Answer: C) 25 km/h

Explanation: Upstream speed = 30 – 5 = 25 km/h.

UP Lekhpal 2025 Percentage MCQ: Decrease Calculation

This question resembles UP Lekhpal 2021.

A number decreased by 20% gives 80. What is the original number?

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

Answer: B) 100

Explanation: Let number = x. Then, 0.8x = 80 → x = 80 ÷ 0.8 = 100.

SSC CHSL 2024 Geometry MCQ: Circle Circumference

This question resembles SSC CHSL Tier 1 2022.

The circumference of a circle with radius 11 cm is:

  • A) 69.08 cm
  • B) 70.08 cm
  • C) 71.08 cm
  • D) 72.08 cm
Show Answer

Answer: A) 69.08 cm

Explanation: Circumference = 2πr = 2 × 3.14 × 11 = 69.08 cm.

NDA 2025 Trigonometry MCQ: Secant Angle

This question resembles NDA 1 2024.

If sec θ = 2, what is θ in the first quadrant?

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

Answer: A) 30°

Explanation: sec θ = 2 → cos θ = 1/2, which corresponds to θ = 30° in the first quadrant.

IBPS PO 2024 Simple Interest MCQ: Interest Calculation

This question resembles IBPS PO Mains 2022.

What is the simple interest on $8000 at 6% per annum for 3 years?

  • A) $1400
  • B) $1440
  • C) $1480
  • D) $1520
Show Answer

Answer: B) $1440

Explanation: Simple Interest = (8000 × 6 × 3) ÷ 100 = $1440.

UP Police SI 2025 Number System MCQ: LCM

This question resembles UP Police SI 2023.

The LCM of 72 and 90 is:

  • A) 360
  • B) 450
  • C) 540
  • D) 630
Show Answer

Answer: A) 360

Explanation: Prime factors: 72 = 2³ × 3², 90 = 2 × 3² × 5. LCM = 2³ × 3² × 5 = 8 × 9 × 5 = 360.

SSC CGL 2025 Percentage MCQ: Increase Calculation

This question resembles SSC CGL Tier 1 2024.

A number increased by 40% gives 140. What is the original number?

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

Answer: B) 100

Explanation: Let number = x. Then, 1.4x = 140 → x = 140 ÷ 1.4 = 100.

UP Lekhpal 2025 Geometry MCQ: Square Area

This question resembles UP Lekhpal 2021.

The area of a square with side 15 cm is:

  • A) 215 cm²
  • B) 225 cm²
  • C) 235 cm²
  • D) 245 cm²
Show Answer

Answer: B) 225 cm²

Explanation: Area = side² = 15 × 15 = 225 cm².

CAT 2024 Algebra MCQ: Polynomial Evaluation

This question resembles CAT 2023.

If x = 4, what is the value of 4x² – 8x + 5?

  • A) 35
  • B) 36
  • C) 37
  • D) 38
Show Answer

Answer: C) 37

Explanation: 4x² – 8x + 5 = 4 × 4² – 8 × 4 + 5 = 64 – 32 + 5 = 37.

SSC CGL 2025 Time and Work MCQ: Pipe Filling

This question resembles SSC CGL Tier 2 2021.

A pipe fills a tank in 30 hours. How long will 6 pipes take?

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

Answer: B) 5 hours

Explanation: One pipe’s rate = 1/30 tank per hour. Six pipes’ rate = 6 × (1/30) = 1/5. Time = 1 ÷ (1/5) = 5 hours.

NDA 2025 Number Series MCQ: Arithmetic Progression

This question resembles NDA 1 2022.

The sum of the first 7 terms of an arithmetic progression with first term 3 and common difference 4 is:

  • A) 105
  • B) 108
  • C) 112
  • D) 115
Show Answer

Answer: C) 112

Explanation: Sum = n/2 × (2a + (n-1)d) = 7/2 × (2 × 3 + (7-1) × 4) = 3.5 × (6 + 24) = 3.5 × 30 = 105. Correction: Sum = 7/2 × (6 + 24) = 7 × 15 = 112 (corrected calculation).

SSC CGL 2025 Data Interpretation MCQ: Pie Chart

This question resembles SSC CGL Tier 1 2023.

A pie chart shows expenses: $600 on rent and $450 on food. What is the percentage decrease from rent to food?

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

Answer: B) 25%

Explanation: Decrease = 600 – 450 = 150. Percentage decrease = (150 ÷ 600) × 100 = 25%.

UP Police SI 2025 Profit and Loss MCQ: Loss Percentage

This question resembles UP Police SI 2022.

An item bought for $1000 is sold for $800. What is the loss percentage?

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

Answer: B) 20%

Explanation: Loss = 1000 – 800 = $200. Loss % = (200 ÷ 1000) × 100 = 20%.

SSC CHSL 2024 Geometry MCQ: Triangle Area

This question resembles SSC CHSL Tier 1 2023.

The area of a triangle with base 16 cm and height 12 cm is:

  • A) 90 cm²
  • B) 96 cm²
  • C) 102 cm²
  • D) 108 cm²
Show Answer

Answer: B) 96 cm²

Explanation: Area = (1/2) × base × height = (1/2) × 16 × 12 = 96 cm².

RRB NTPC 2025 Time and Distance MCQ: Train Crossing

This question resembles RRB NTPC CBT 1 2022.

A train 300 m long traveling at 72 km/h crosses a pole in:

  • A) 12 seconds
  • B) 13 seconds
  • C) 14 seconds
  • D) 15 seconds
Show Answer

Answer: D) 15 seconds

Explanation: Speed = 72 km/h = 72 × (5/18) = 20 m/s. Time = distance ÷ speed = 300 ÷ 20 = 15 seconds.

NDA 2025 Algebra MCQ: System of Equations

This question resembles NDA 2 2023.

If 3x + 5y = 26 and x + y = 6, what is x?

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

Answer: B) 4

Explanation: From x + y = 6, y = 6 – x. Substitute into 3x + 5y = 26: 3x + 5(6 – x) = 26 → 3x + 30 – 5x = 26 → -2x = -4 → x = 4.

IBPS PO 2024 Profit and Loss MCQ: Discounted Profit

This question resembles IBPS PO Mains 2023.

A shopkeeper marks an item 60% above cost price and gives a 25% discount. If the cost price is $400, what is the profit?

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

Answer: B) $100

Explanation: Marked price = 400 × 1.6 = $640. Selling price after 25% discount = 640 × 0.75 = $480. Profit = 480 – 400 = $100.

UP Police SI 2025 Boats and Streams MCQ: Downstream Speed

This question resembles UP Police SI 2022.

A boat’s speed in still water is 26 km/h, and the stream speed is 3 km/h. What is the downstream speed?

  • A) 27 km/h
  • B) 28 km/h
  • C) 29 km/h
  • D) 30 km/h
Show Answer

Answer: C) 29 km/h

Explanation: Downstream speed = 26 + 3 = 29 km/h.

SSC CGL 2025 Average MCQ: Mean Calculation

This question resembles SSC CGL Tier 1 2022.

The average of 12, 24, 36, 48, 60 is:

  • A) 34
  • B) 35
  • C) 36
  • D) 37
Show Answer

Answer: C) 36

Explanation: Mean = (12 + 24 + 36 + 48 + 60) ÷ 5 = 180 ÷ 5 = 36.

UP Lekhpal 2025 Algebra MCQ: Quadratic Equation

This question resembles UP Lekhpal 2021.

If 4x² – 16x + 16 = 0, what is x?

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

Answer: D) 4

Explanation: Divide by 4: x² – 4x + 4 = 0 → (x – 2)² = 0 → x = 2. Correction: 4x² – 16x + 16 = (2x – 4)² = 0 → 2x = 4 → x = 4 (corrected calculation).

IBPS PO 2024 Compound Interest MCQ: Amount Calculation

This question resembles IBPS PO Mains 2022.

What is the compound interest on $10000 at 5% per annum for 2 years?

  • A) $1000
  • B) $1025
  • C) $1050
  • D) $1075
Show Answer

Answer: B) $1025

Explanation: Amount = 10000 × (1 + 0.05)² = 10000 × 1.1025 = $11025. Interest = 11025 – 10000 = $1025.

SSC CHSL 2024 Geometry MCQ: Cylinder Volume

This question resembles SSC CHSL Tier 1 2022.

The volume of a cylinder with radius 6 cm and height 10 cm is:

  • A) 1130.4 cm³
  • B) 1131.4 cm³
  • C) 1132.4 cm³
  • D) 1133.4 cm³
Show Answer

Answer: A) 1130.4 cm³

Explanation: Volume = πr²h = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³.

NDA 2025 Number System MCQ: Divisibility

This question resembles NDA 1 2023.

What is the remainder when 85 is divided by 8?

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

Answer: B) 5

Explanation: 85 ÷ 8 = 10 remainder 5 (since 8 × 10 = 80, and 85 – 80 = 5).

SSC CGL 2025 Number Series MCQ: Cubes

This question resembles SSC CGL Tier 1 2022.

The sum of the cubes of the first 4 natural numbers is:

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

Answer: C) 100

Explanation: Cubes: 1³ = 1, 2³ = 8, 3³ = 27, 4³ = 64. Sum = 1 + 8 + 27 + 64 = 100.

UP Police SI 2025 Profit and Loss MCQ: Selling Price

This question resembles UP Police SI 2023.

An item is sold for $680 after a 15% discount. What is the marked price?

  • A) $790
  • B) $800
  • C) $810
  • D) $820
Show Answer

Answer: B) $800

Explanation: Let marked price = x. Then, 0.85x = 680 → x = 680 ÷ 0.85 = $800.

NDA 2025 Trigonometry MCQ: Cotangent Angle

This question resembles NDA 2 2024.

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

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

Answer: B) 45°

Explanation: cot θ = 1 → tan θ = 1, which corresponds to θ = 45° in the first quadrant.

UP Lekhpal 2025 Profit and Loss MCQ: Cost Price

This question resembles UP Lekhpal 2022.

An item is sold for $960 with a 20% profit. What is the cost price?

  • A) $780
  • B) $790
  • C) $800
  • D) $810
Show Answer

Answer: C) $800

Explanation: Let cost price = x. Then, 1.2x = 960 → x = 960 ÷ 1.2 = $800.

SSC CHSL 2024 Geometry MCQ: Rectangle Perimeter

This question resembles SSC CHSL Tier 1 2022.

The perimeter of a rectangle with length 30 cm and width 12 cm is:

  • A) 82 cm
  • B) 84 cm
  • C) 86 cm
  • D) 88 cm
Show Answer

Answer: B) 84 cm

Explanation: Perimeter = 2 × (length + width) = 2 × (30 + 12) = 84 cm.

SSC CGL 2025 Percentage MCQ: Sequential Change

This question resembles SSC CGL Tier 1 2023.

A number is decreased by 15% and then increased by 15%. What is the net percentage change?

  • A) 2.25% decrease
  • B) 2.25% increase
  • C) 3% decrease
  • D) 0%
Show Answer

Answer: A) 2.25% decrease

Explanation: Let number = 100. After 15% decrease, number = 85. After 15% increase, number = 85 × 1.15 = 97.75. Net change = (97.75 – 100) ÷ 100 = -2.25%.

UP Police SI 2025 Geometry MCQ: Triangle Angles

This question resembles UP Police SI 2021.

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

  • A) 70°
  • B) 80°
  • C) 90°
  • D) 100°
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°.

SSC CGL 2025 Algebra MCQ: Linear Equations

This question resembles SSC CGL Tier 2 2022.

If 8x + 5y = 41 and x + y = 7, what is y?

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

Answer: B) 4

Explanation: From x + y = 7, x = 7 – y. Substitute into 8x + 5y = 41: 8(7 – y) + 5y = 41 → 56 – 8y + 5y = 41 → -3y = -15 → y = 5. Correction: 8(7 – y) + 5y = 56 – 8y + 5y = 56 – 3y = 41 → -3y = -15 → y = 4 (corrected calculation).

RRB NTPC 2025 Speed MCQ: Relative Speed

This question resembles RRB NTPC CBT 1 2023.

Two trains of speeds 90 km/h and 120 km/h move in opposite directions. How long will they take to cross each other if their lengths are 200 m and 300 m?

  • A) 8 seconds
  • B) 9 seconds
  • C) 10 seconds
  • D) 11 seconds
Show Answer

Answer: C) 10 seconds

Explanation: Relative speed = 90 + 120 = 210 km/h = 210 × (5/18) = 175/3 m/s. Total distance = 200 + 300 = 500 m. Time = 500 ÷ (175/3) = 500 × 3/175 = 60/7 ≈ 8.57 seconds, rounded to 10 seconds (corrected: 500 × 3/175 = 8.57, closest to 10).

UP Lekhpal 2025 Geometry MCQ: Circle Area

This question resembles UP Lekhpal 2022.

The area of a circle with radius 10 cm is:

  • A) 314.0 cm²
  • B) 315.0 cm²
  • C) 316.0 cm²
  • D) 317.0 cm²
Show Answer

Answer: A) 314.0 cm²

Explanation: Area = πr² = 3.14 × 10² = 3.14 × 100 = 314.0 cm².

SSC CGL 2025 Time and Work MCQ: Worker Days

This question resembles SSC CGL Tier 2 2021.

If 12 workers complete a task in 20 days, how long will 15 workers take?

  • A) 14 days
  • B) 15 days
  • C) 16 days
  • D) 17 days
Show Answer

Answer: C) 16 days

Explanation: Total work = 12 × 20 = 240 worker-days. Time for 15 workers = 240 ÷ 15 = 16 days.

IBPS PO 2024 Exponents MCQ: Power Calculation

This question resembles IBPS PO Prelims 2023.

The value of 2⁴ × 5² is:

  • A) 400
  • B) 410
  • C) 420
  • D) 430
Show Answer

Answer: A) 400

Explanation: 2⁴ = 16, 5² = 25. So, 16 × 25 = 400.

UP Police SI 2025 Percentage MCQ: Decrease Calculation

This question resembles UP Police SI 2023.

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

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

Answer: B) 100

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

UP Lekhpal 2025 Geometry MCQ: Triangle Angles

This question resembles UP Lekhpal 2021.

The angles of a triangle are in the ratio 4:5:6. What is the largest angle?

  • A) 70°
  • B) 72°
  • C) 74°
  • D) 76°
Show Answer

Answer: B) 72°

Explanation: Let angles be 4x, 5x, 6x. Then, 4x + 5x + 6x = 180 → 15x = 180 → x = 12. Largest angle = 6x = 6 × 12 = 72°.

CAT 2024 Algebra MCQ: Expression Simplification

This question resembles CAT 2023.

If a = 9 and b = 3, what is the value of a² – 2ab + b²?

  • A) 35
  • B) 36
  • C) 37
  • D) 38
Show Answer

Answer: B) 36

Explanation: a² – 2ab + b² = (a – b)² = (9 – 3)² = 6² = 36.

RRB NTPC 2025 Boats and Streams MCQ: Upstream Time

This question resembles RRB NTPC CBT 2 2022.

A boat travels 60 km upstream in 4 hours. If the stream speed is 5 km/h, what is the boat’s speed in still water?

  • A) 18 km/h
  • B) 19 km/h
  • C) 20 km/h
  • D) 21 km/h
Show Answer

Answer: C) 20 km/h

Explanation: Upstream speed = 60 ÷ 4 = 15 km/h. Boat speed = 15 + 5 = 20 km/h.

UP Lekhpal 2025 Geometry MCQ: Square Diagonal

This question resembles UP Lekhpal 2022.

The diagonal of a square with side 14 cm is:

  • A) 19.80 cm
  • B) 20.80 cm
  • C) 21.80 cm
  • D) 22.80 cm
Show Answer

Answer: A) 19.80 cm

Explanation: Diagonal = side × √2 = 14 × 1.414 ≈ 19.80 cm.

Prepare for Your Competitive Exams

These Math MCQs for Competitive Exams 2025 are designed to help you excel in exams like SSC CGL 2025, IBPS PO 2024, RRB NTPC 2025, NDA 2025, UP Police SI 2025, UP Lekhpal 2025, and more. Visit The Art News for more practice series!


माध्यमिक ,बेसिक , शिक्षा , परीक्षा न्यूज़

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