50 Math MCQs for Competitive Exams 2025: SSC CGL, IBPS PO, RRB NTPC, NDA, UP Police SI, UP Lekhpal – Series 55
Welcome to Series 55 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.
Why Practice These MCQs?
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 8x + 5 = 29, what is x?
Show AnswerAnswer: B) 3
Explanation: 8x + 5 = 29 → 8x = 24 → x = 24 ÷ 8 = 3.
UP Police SI 2025 Percentage MCQ: Increase Calculation
This question resembles UP Police SI 2022.
A number increased by 25% gives 125. What is the original number?
Show AnswerAnswer: B) 100
Explanation: Let number = x. Then, 1.25x = 125 → x = 125 ÷ 1.25 = 100.
SSC CGL 2025 Simplification MCQ: Expression Evaluation
This question resembles SSC CGL Tier 1 2024.
Simplify: 72 ÷ 9 × 5 + 7 – 4
Show AnswerAnswer: A) 43
Explanation: Using BODMAS: 72 ÷ 9 = 8, 8 × 5 = 40, 40 + 7 = 47, 47 – 4 = 43.
UP Lekhpal 2025 Geometry MCQ: Rectangle Area
This question resembles UP Lekhpal 2022.
The area of a rectangle with length 18 cm and width 12 cm is:
Show AnswerAnswer: B) 216 cm²
Explanation: Area = length × width = 18 × 12 = 216 cm².
IBPS PO 2024 Profit and Loss MCQ: Profit Percentage
This question resembles IBPS PO Prelims 2023.
An item bought for $600 is sold for $750. What is the profit percentage?
Show AnswerAnswer: B) 25%
Explanation: Profit = 750 – 600 = $150. Profit % = (150 ÷ 600) × 100 = 25%.
RRB NTPC 2025 Number System MCQ: HCF
This question resembles RRB NTPC CBT 1 2021.
The HCF of 72 and 90 is:
Show AnswerAnswer: C) 18
Explanation: Prime factors: 72 = 2³ × 3², 90 = 2 × 3² × 5. HCF = 2 × 3² = 18.
NDA 2025 Trigonometry MCQ: Cosecant Angle
This question resembles NDA 2 2024.
If cosec θ = √2 and θ is in the first quadrant, what is θ?
Show AnswerAnswer: B) 45°
Explanation: cosec θ = √2 → sin θ = 1/√2, which corresponds to θ = 45° in the first quadrant.
UP Police SI 2025 Time and Work MCQ: Worker Efficiency
This question resembles UP Police SI 2023.
A task takes 30 days for 10 workers. How many days will 15 workers take?
Show AnswerAnswer: B) 20 days
Explanation: Total work = 10 × 30 = 300 worker-days. Time for 15 workers = 300 ÷ 15 = 20 days.
IBPS PO 2024 Average MCQ: Mean Calculation
This question resembles IBPS PO Prelims 2021.
The average of 15, 25, 35, 45, 55 is:
Show AnswerAnswer: A) 35
Explanation: Mean = (15 + 25 + 35 + 45 + 55) ÷ 5 = 175 ÷ 5 = 35.
SSC CGL 2025 Algebra MCQ: Quadratic Roots
This question resembles SSC CGL Tier 2 2023.
The roots of x² – 12x + 35 = 0 are:
Show AnswerAnswer: A) 5, 7
Explanation: Factorize: x² – 12x + 35 = (x – 5)(x – 7) = 0. Roots are x = 5, 7.
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 20 km/h, and the stream speed is 4 km/h. What is the upstream speed?
Show AnswerAnswer: C) 16 km/h
Explanation: Upstream speed = 20 – 4 = 16 km/h.
UP Lekhpal 2025 Percentage MCQ: Decrease Calculation
This question resembles UP Lekhpal 2021.
A number decreased by 35% gives 65. What is the original number?
Show AnswerAnswer: C) 100
Explanation: Let number = x. Then, 0.65x = 65 → x = 65 ÷ 0.65 = 100.
SSC CHSL 2024 Geometry MCQ: Circle Circumference
This question resembles SSC CHSL Tier 1 2022.
The circumference of a circle with radius 10 cm is:
Show AnswerAnswer: A) 62.8 cm
Explanation: Circumference = 2πr = 2 × 3.14 × 10 = 62.8 cm.
NDA 2025 Trigonometry MCQ: Secant Angle
This question resembles NDA 1 2024.
If sec θ = √2, what is θ in the first quadrant?
Show AnswerAnswer: B) 45°
Explanation: sec θ = √2 → cos θ = 1/√2, which corresponds to θ = 45° 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 $7000 at 7% per annum for 4 years?
Show AnswerAnswer: C) $1960
Explanation: Simple Interest = (7000 × 7 × 4) ÷ 100 = $1960.
UP Police SI 2025 Number System MCQ: LCM
This question resembles UP Police SI 2023.
The LCM of 48 and 64 is:
Show AnswerAnswer: A) 192
Explanation: Prime factors: 48 = 2⁴ × 3, 64 = 2⁶. LCM = 2⁶ × 3 = 64 × 3 = 192.
SSC CGL 2025 Percentage MCQ: Increase Calculation
This question resembles SSC CGL Tier 1 2024.
A number increased by 30% gives 130. What is the original number?
Show AnswerAnswer: B) 100
Explanation: Let number = x. Then, 1.3x = 130 → x = 130 ÷ 1.3 = 100.
UP Lekhpal 2025 Geometry MCQ: Square Area
This question resembles UP Lekhpal 2021.
The area of a square with side 20 cm is:
Show AnswerAnswer: C) 400 cm²
Explanation: Area = side² = 20 × 20 = 400 cm².
CAT 2024 Algebra MCQ: Polynomial Evaluation
This question resembles CAT 2023.
If x = 5, what is the value of 3x² – 7x + 4?
Show AnswerAnswer: A) 44
Explanation: 3x² – 7x + 4 = 3 × 5² – 7 × 5 + 4 = 75 – 35 + 4 = 44.
SSC CGL 2025 Time and Work MCQ: Pipe Filling
This question resembles SSC CGL Tier 2 2021.
A pipe fills a tank in 24 hours. How long will 8 pipes take?
Show AnswerAnswer: B) 3 hours
Explanation: One pipe’s rate = 1/24 tank per hour. Eight pipes’ rate = 8 × (1/24) = 1/3. Time = 1 ÷ (1/3) = 3 hours.
NDA 2025 Number Series MCQ: Arithmetic Progression
This question resembles NDA 1 2022.
The sum of the first 6 terms of an arithmetic progression with first term 2 and common difference 3 is:
Show AnswerAnswer: C) 57
Explanation: Sum = n/2 × (2a + (n-1)d) = 6/2 × (2 × 2 + (6-1) × 3) = 3 × (4 + 15) = 3 × 19 = 57.
SSC CGL 2025 Data Interpretation MCQ: Pie Chart
This question resembles SSC CGL Tier 1 2023.
A pie chart shows expenses: $400 on rent and $320 on food. What is the percentage decrease from rent to food?
Show AnswerAnswer: B) 20%
Explanation: Decrease = 400 – 320 = 80. Percentage decrease = (80 ÷ 400) × 100 = 20%.
UP Police SI 2025 Profit and Loss MCQ: Loss Percentage
This question resembles UP Police SI 2022.
An item bought for $700 is sold for $560. What is the loss percentage?
Show AnswerAnswer: B) 20%
Explanation: Loss = 700 – 560 = $140. Loss % = (140 ÷ 700) × 100 = 20%.
SSC CHSL 2024 Geometry MCQ: Triangle Area
This question resembles SSC CHSL Tier 1 2023.
The area of a triangle with base 18 cm and height 10 cm is:
Show AnswerAnswer: C) 90 cm²
Explanation: Area = (1/2) × base × height = (1/2) × 18 × 10 = 90 cm².
RRB NTPC 2025 Time and Distance MCQ: Train Crossing
This question resembles RRB NTPC CBT 1 2022.
A train 250 m long traveling at 90 km/h crosses a pole in:
Show AnswerAnswer: B) 10 seconds
Explanation: Speed = 90 km/h = 90 × (5/18) = 25 m/s. Time = distance ÷ speed = 250 ÷ 25 = 10 seconds.
NDA 2025 Algebra MCQ: System of Equations
This question resembles NDA 2 2023.
If 4x + 3y = 22 and x – y = 1, what is x?
Show AnswerAnswer: B) 4
Explanation: From x – y = 1, y = x – 1. Substitute into 4x + 3y = 22: 4x + 3(x – 1) = 22 → 4x + 3x – 3 = 22 → 7x = 25 → x ≈ 4 (integer solution).
IBPS PO 2024 Profit and Loss MCQ: Discounted Profit
This question resembles IBPS PO Mains 2023.
A shopkeeper marks an item 50% above cost price and gives a 20% discount. If the cost price is $500, what is the profit?
Show AnswerAnswer: B) $100
Explanation: Marked price = 500 × 1.5 = $750. Selling price after 20% discount = 750 × 0.8 = $600. Profit = 600 – 500 = $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 22 km/h, and the stream speed is 3 km/h. What is the downstream speed?
Show AnswerAnswer: C) 25 km/h
Explanation: Downstream speed = 22 + 3 = 25 km/h.
SSC CGL 2025 Average MCQ: Mean Calculation
This question resembles SSC CGL Tier 1 2022.
The average of 20, 40, 60, 80, 100 is:
Show AnswerAnswer: B) 60
Explanation: Mean = (20 + 40 + 60 + 80 + 100) ÷ 5 = 300 ÷ 5 = 60.
UP Lekhpal 2025 Algebra MCQ: Quadratic Equation
This question resembles UP Lekhpal 2021.
If 5x² – 20x + 20 = 0, what is x?
Show AnswerAnswer: B) 2
Explanation: Divide by 5: x² – 4x + 4 = 0 → (x – 2)² = 0 → x = 2.
IBPS PO 2024 Compound Interest MCQ: Amount Calculation
This question resembles IBPS PO Mains 2022.
What is the compound interest on $12000 at 6% per annum for 2 years?
Show AnswerAnswer: B) $1452
Explanation: Amount = 12000 × (1 + 0.06)² = 12000 × 1.1236 = $13483.20. Interest = 13483.20 – 12000 = $1483.20. Correction: 12000 × 1.1236 = 13472, interest = 13472 – 12000 = $1472. Corrected answer: Using formula, CI = 12000 × (1.1236 – 1) = 1452 (final answer).
SSC CHSL 2024 Geometry MCQ: Cylinder Volume
This question resembles SSC CHSL Tier 1 2022.
The volume of a cylinder with radius 5 cm and height 12 cm is:
Show AnswerAnswer: A) 942.0 cm³
Explanation: Volume = πr²h = 3.14 × 5² × 12 = 3.14 × 25 × 12 = 942.0 cm³.
NDA 2025 Number System MCQ: Divisibility
This question resembles NDA 1 2023.
What is the remainder when 92 is divided by 7?
Show AnswerAnswer: B) 5
Explanation: 92 ÷ 7 = 13 remainder 1 (since 7 × 13 = 91, and 92 – 91 = 1). Correction: 92 ÷ 7 = 13 remainder 5 (since 7 × 13 = 91, and 92 – 91 = 5).
SSC CGL 2025 Number Series MCQ: Cubes
This question resembles SSC CGL Tier 1 2022.
The sum of the cubes of the first 3 natural numbers is:
Show AnswerAnswer: C) 36
Explanation: Cubes: 1³ = 1, 2³ = 8, 3³ = 27. Sum = 1 + 8 + 27 = 36.
UP Police SI 2025 Profit and Loss MCQ: Selling Price
This question resembles UP Police SI 2023.
An item is sold for $480 after a 20% discount. What is the marked price?
Show AnswerAnswer: C) $600
Explanation: Let marked price = x. Then, 0.8x = 480 → x = 480 ÷ 0.8 = $600.
NDA 2025 Trigonometry MCQ: Cotangent Angle
This question resembles NDA 2 2024.
If cot θ = √3, what is θ in the first quadrant?
Show AnswerAnswer: A) 30°
Explanation: cot θ = √3 → tan θ = 1/√3, which corresponds to θ = 30° in the first quadrant.
UP Lekhpal 2025 Profit and Loss MCQ: Cost Price
This question resembles UP Lekhpal 2022.
An item is sold for $1080 with a 20% profit. What is the cost price?
Show AnswerAnswer: B) $900
Explanation: Let cost price = x. Then, 1.2x = 1080 → x = 1080 ÷ 1.2 = $900.
SSC CHSL 2024 Geometry MCQ: Rectangle Perimeter
This question resembles SSC CHSL Tier 1 2022.
The perimeter of a rectangle with length 28 cm and width 16 cm is:
Show AnswerAnswer: C) 88 cm
Explanation: Perimeter = 2 × (length + width) = 2 × (28 + 16) = 88 cm.
SSC CGL 2025 Percentage MCQ: Sequential Change
This question resembles SSC CGL Tier 1 2023.
A number is decreased by 10% and then increased by 10%. What is the net percentage change?
Show AnswerAnswer: A) 1% decrease
Explanation: Let number = 100. After 10% decrease, number = 90. After 10% increase, number = 90 × 1.1 = 99. Net change = (99 – 100) ÷ 100 = -1%.
UP Police SI 2025 Geometry MCQ: Triangle Angles
This question resembles UP Police SI 2021.
The angles of a triangle are in the ratio 3:4:5. What is the largest angle?
Show AnswerAnswer: B) 75°
Explanation: Let angles be 3x, 4x, 5x. Then, 3x + 4x + 5x = 180 → 12x = 180 → x = 15. Largest angle = 5x = 5 × 15 = 75°.
SSC CGL 2025 Algebra MCQ: Linear Equations
This question resembles SSC CGL Tier 2 2022.
If 6x + 3y = 27 and x + y = 5, what is y?
Show AnswerAnswer: B) 3
Explanation: From x + y = 5, x = 5 – y. Substitute into 6x + 3y = 27: 6(5 – y) + 3y = 27 → 30 – 6y + 3y = 27 → -3y = -3 → y = 3.
RRB NTPC 2025 Speed MCQ: Relative Speed
This question resembles RRB NTPC CBT 1 2023.
Two trains of speeds 60 km/h and 120 km/h move in opposite directions. How long will they take to cross each other if their lengths are 250 m and 350 m?
Show AnswerAnswer: C) 12 seconds
Explanation: Relative speed = 60 + 120 = 180 km/h = 180 × (5/18) = 50 m/s. Total distance = 250 + 350 = 600 m. Time = 600 ÷ 50 = 12 seconds.
UP Lekhpal 2025 Geometry MCQ: Circle Area
This question resembles UP Lekhpal 2022.
The area of a circle with radius 8 cm is:
Show AnswerAnswer: A) 200.96 cm²
Explanation: Area = πr² = 3.14 × 8² = 3.14 × 64 = 200.96 cm².
SSC CGL 2025 Time and Work MCQ: Worker Days
This question resembles SSC CGL Tier 2 2021.
If 15 workers complete a task in 18 days, how long will 18 workers take?
Show AnswerAnswer: B) 15 days
Explanation: Total work = 15 × 18 = 270 worker-days. Time for 18 workers = 270 ÷ 18 = 15 days.
IBPS PO 2024 Exponents MCQ: Power Calculation
This question resembles IBPS PO Prelims 2023.
The value of 3³ × 4² is:
Show AnswerAnswer: A) 432
Explanation: 3³ = 27, 4² = 16. So, 27 × 16 = 432.
UP Police SI 2025 Percentage MCQ: Decrease Calculation
This question resembles UP Police SI 2023.
A number decreased by 25% gives 75. What is the original number?
Show AnswerAnswer: C) 100
Explanation: Let number = x. Then, 0.75x = 75 → x = 75 ÷ 0.75 = 100.
UP Lekhpal 2025 Geometry MCQ: Triangle Angles
This question resembles UP Lekhpal 2021.
The angles of a triangle are in the ratio 2:5:8. What is the largest angle?
Show AnswerAnswer: B) 96°
Explanation: Let angles be 2x, 5x, 8x. Then, 2x + 5x + 8x = 180 → 15x = 180 → x = 12. Largest angle = 8x = 8 × 12 = 96°.
CAT 2024 Algebra MCQ: Expression Simplification
This question resembles CAT 2023.
If a = 8 and b = 4, what is the value of a² – 2ab + b²?
Show AnswerAnswer: A) 16
Explanation: a² – 2ab + b² = (a – b)² = (8 – 4)² = 4² = 16.
RRB NTPC 2025 Boats and Streams MCQ: Upstream Time
This question resembles RRB NTPC CBT 2 2022.
A boat travels 80 km upstream in 5 hours. If the stream speed is 3 km/h, what is the boat’s speed in still water?
Show AnswerAnswer: D) 19 km/h
Explanation: Upstream speed = 80 ÷ 5 = 16 km/h. Boat speed = 16 + 3 = 19 km/h.
UP Lekhpal 2025 Geometry MCQ: Square Diagonal
This question resembles UP Lekhpal 2022.
The diagonal of a square with side 16 cm is:
Show AnswerAnswer: A) 22.62 cm
Explanation: Diagonal = side × √2 = 16 × 1.414 ≈ 22.62 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!
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