Mathematics MCQs for Competitive Exams 2025 – Series 48: 50 Questions with Answers
Welcome to Series 48 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 includes a reference to a similar question type from past exams (2021–2024) and detailed solutions.
Why Practice These MCQs?
These questions cover key 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 Percentage MCQ: Discount Calculation
This question resembles SSC CGL Tier 1 2023.
An item is sold for $450 after a 10% discount. What is the marked price?
Show AnswerAnswer: B) $500
Explanation: Let marked price = x. Then, 0.9x = 450 → x = 450 ÷ 0.9 = $500.
RRB NTPC 2025 Time and Distance MCQ: Train Journey
This question resembles RRB NTPC CBT 1 2022.
A train travels 420 km in 6 hours. What is its speed in km/h?
Show AnswerAnswer: B) 70 km/h
Explanation: Speed = 420 ÷ 6 = 70 km/h.
IBPS PO 2024 Algebra MCQ: Linear Equation
This question resembles IBPS PO Prelims 2023.
If 7x + 4 = 25, what is x?
Show AnswerAnswer: B) 3
Explanation: 7x + 4 = 25 → 7x = 21 → x = 3.
SSC CHSL 2024 Geometry MCQ: Rectangle Area
This question resembles SSC CHSL Tier 1 2024.
The area of a rectangle with length 14 cm and width 7 cm is:
Show AnswerAnswer: C) 98 cm²
Explanation: Area = length × width = 14 × 7 = 98 cm².
IBPS Clerk 2024 Profit and Loss MCQ: Cost Price
This question resembles IBPS Clerk Prelims 2022.
An item is sold for $600 with a 25% profit. What is the cost price?
Show AnswerAnswer: B) $480
Explanation: Let cost price = x. Then, 1.25x = 600 → x = 600 ÷ 1.25 = $480.
RRB NTPC 2025 Number System MCQ: HCF
This question resembles RRB NTPC CBT 1 2021.
The HCF of 30 and 45 is:
Show AnswerAnswer: C) 15
Explanation: Prime factors: 30 = 2 × 3 × 5, 45 = 3² × 5. HCF = 3 × 5 = 15.
UPSC CSAT 2025 Trigonometry MCQ: Sine Angle
This question resembles UPSC CSAT 2024.
If sin θ = √3/2 and θ is in the first quadrant, what is θ?
Show AnswerAnswer: C) 60°
Explanation: sin θ = √3/2 corresponds to θ = 60° in the first quadrant.
SSC CGL 2025 Time and Work MCQ: Worker Efficiency
This question resembles SSC CGL Tier 2 2022.
A task takes 18 days for 8 workers. How many days will 12 workers take?
Show AnswerAnswer: B) 12 days
Explanation: Total work = 8 × 18 = 144 worker-days. Time for 12 workers = 144 ÷ 12 = 12 days.
IBPS PO 2024 Average MCQ: Mean Calculation
This question resembles IBPS PO Prelims 2021.
The average of 12, 24, 36, 48 is:
Show AnswerAnswer: B) 30
Explanation: Mean = (12 + 24 + 36 + 48) ÷ 4 = 120 ÷ 4 = 30.
SSC CGL 2025 Algebra MCQ: Quadratic Roots
This question resembles SSC CGL Tier 2 2023.
The roots of x² – 10x + 21 = 0 are:
Show AnswerAnswer: A) 3, 7
Explanation: Factorize: x² – 10x + 21 = (x – 3)(x – 7) = 0. Roots are x = 3, 7.
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 18 km/h, and the stream speed is 2 km/h. What is the downstream speed?
Show AnswerAnswer: C) 20 km/h
Explanation: Downstream speed = 18 + 2 = 20 km/h.
IBPS Clerk 2024 Percentage MCQ: Increase Calculation
This question resembles IBPS Clerk Prelims 2023.
A number increased by 30% gives 78. What is the original number?
Show AnswerAnswer: B) 60
Explanation: Let number = x. Then, 1.3x = 78 → x = 78 ÷ 1.3 = 60.
SSC CHSL 2024 Geometry MCQ: Circle Area
This question resembles SSC CHSL Tier 1 2022.
The area of a circle with radius 6 cm is:
Show AnswerAnswer: B) 113.04 cm²
Explanation: Area = πr² = 3.14 × 6² = 113.04 cm².
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?
Show AnswerAnswer: C) 60°
Explanation: cos θ = 1/2 corresponds to θ = 60° 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 4% per annum for 3 years?
Show AnswerAnswer: B) $960
Explanation: Simple Interest = (8000 × 4 × 3) ÷ 100 = $960.
RRB NTPC 2025 Number System MCQ: LCM
This question resembles RRB NTPC CBT 1 2023.
The LCM of 20 and 25 is:
Show AnswerAnswer: C) 100
Explanation: Prime factors: 20 = 2² × 5, 25 = 5². LCM = 2² × 5² = 100.
SSC CGL 2025 Percentage MCQ: Decrease Calculation
This question resembles SSC CGL Tier 1 2024.
A number decreased by 15% gives 85. What is the original number?
Show AnswerAnswer: B) 100
Explanation: Let number = x. Then, 0.85x = 85 → x = 85 ÷ 0.85 = 100.
SSC CHSL 2024 Geometry MCQ: Triangle Area
This question resembles SSC CHSL Tier 1 2021.
The area of a triangle with base 12 cm and height 8 cm is:
Show AnswerAnswer: A) 48 cm²
Explanation: Area = (1/2) × base × height = (1/2) × 12 × 8 = 48 cm².
CAT 2024 Algebra MCQ: Polynomial Evaluation
This question resembles CAT 2023.
If x = 5, what is the value of 2x² – 3x + 1?
Show AnswerAnswer: A) 36
Explanation: 2x² – 3x + 1 = 2 × 5² – 3 × 5 + 1 = 50 – 15 + 1 = 36.
SSC CGL 2025 Time and Work MCQ: Pipe Filling
This question resembles SSC CGL Tier 2 2021.
A pipe fills a tank in 12 hours. How long will 3 pipes take?
Show AnswerAnswer: 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.
IBPS PO 2024 Number Series MCQ: Geometric Progression
This question resembles IBPS PO Prelims 2022.
The sum of the first 4 terms of a geometric progression with first term 2 and common ratio 3 is:
Show AnswerAnswer: A) 80
Explanation: Sum = a(1 – rⁿ)/(1 – r) = 2(1 – 3⁴)/(1 – 3) = 2(1 – 81)/(-2) = 2 × (-80)/(-2) = 80.
SSC CGL 2025 Data Interpretation MCQ: Bar Chart
This question resembles SSC CGL Tier 1 2023.
A bar chart shows sales of 300 units in January and 360 units in February. What is the percentage increase?
Show AnswerAnswer: C) 20%
Explanation: Increase = 360 – 300 = 60. Percentage increase = (60 ÷ 300) × 100 = 20%.
IBPS Clerk 2024 Profit and Loss MCQ: Loss Percentage
This question resembles IBPS Clerk Prelims 2021.
An item bought for $400 is sold for $360. What is the loss percentage?
Show AnswerAnswer: B) 10%
Explanation: Loss = 400 – 360 = 40. Loss % = (40 ÷ 400) × 100 = 10%.
SSC CHSL 2024 Geometry MCQ: Square Perimeter
This question resembles SSC CHSL Tier 1 2023.
The perimeter of a square with side 10 cm is:
Show AnswerAnswer: B) 40 cm
Explanation: Perimeter = 4 × side = 4 × 10 = 40 cm.
RRB NTPC 2025 Distance MCQ: Car Journey
This question resembles RRB NTPC CBT 1 2022.
A car travels 300 km in 5 hours. What is its speed in km/h?
Show AnswerAnswer: B) 60 km/h
Explanation: Speed = 300 ÷ 5 = 60 km/h.
CAT 2024 Algebra MCQ: System of Equations
This question resembles CAT 2022.
If 3x + y = 15 and x – y = 5, what is x?
Show AnswerAnswer: B) 5
Explanation: Add equations: (3x + y) + (x – y) = 15 + 5 → 4x = 20 → x = 5.
IBPS PO 2024 Profit and Loss MCQ: Profit Percentage
This question resembles IBPS PO Mains 2023.
An item bought for $500 is sold for $650. What is the profit percentage?
Show AnswerAnswer: B) 30%
Explanation: Profit = 650 – 500 = 150. Profit % = (150 ÷ 500) × 100 = 30%.
RRB NTPC 2025 Boats and Streams MCQ: Upstream Time
This question resembles RRB NTPC CBT 2 2021.
A boat travels 40 km upstream in 5 hours. If the stream speed is 2 km/h, what is the boat’s speed in still water?
Show AnswerAnswer: B) 10 km/h
Explanation: Upstream speed = 40 ÷ 5 = 8 km/h. Boat speed = 8 + 2 = 10 km/h.
SSC CGL 2025 Average MCQ: Mean of Numbers
This question resembles SSC CGL Tier 1 2022.
The average of 20, 30, 40, 50, 60 is:
Show AnswerAnswer: B) 40
Explanation: Mean = (20 + 30 + 40 + 50 + 60) ÷ 5 = 200 ÷ 5 = 40.
SSC CGL 2025 Algebra MCQ: Quadratic Equation
This question resembles SSC CGL Tier 2 2023.
If 2x² – 8x + 8 = 0, what is x?
Show AnswerAnswer: B) 2
Explanation: Divide by 2: 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 5% per annum for 2 years?
Show AnswerAnswer: C) $1260
Explanation: Amount = 12000 × (1 + 0.05)² = 12000 × 1.1025 = $13230. Interest = 13230 – 12000 = $1260.
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 6 cm and height 8 cm is:
Show AnswerAnswer: B) 301.44 cm²
Explanation: Curved surface area = 2πrh = 2 × 3.14 × 6 × 8 = 301.44 cm².
CAT 2024 Number System MCQ: Divisibility
This question resembles CAT 2021.
What is the remainder when 50 is divided by 8?
Show AnswerAnswer: B) 2
Explanation: 50 ÷ 8 = 6 remainder 2 (since 8 × 6 = 48, and 50 – 48 = 2).
SSC CGL 2025 Number Series MCQ: Odd Numbers
This question resembles SSC CGL Tier 1 2022.
The sum of the first 6 odd numbers is:
Show AnswerAnswer: B) 36
Explanation: First 6 odd numbers: 1, 3, 5, 7, 9, 11. Sum = 1 + 3 + 5 + 7 + 9 + 11 = 36.
IBPS PO 2024 Profit and Loss MCQ: Discounted Profit
This question resembles IBPS PO Mains 2021.
A shopkeeper marks an item 30% above cost price and gives a 15% discount. If the cost price is $400, what is the profit?
Show AnswerAnswer: C) $56
Explanation: Marked price = 400 × 1.3 = $520. Selling price after 15% discount = 520 × 0.85 = $442. Profit = 442 – 400 = $56.
UPSC CSAT 2025 Trigonometry MCQ: Tangent Angle
This question resembles UPSC CSAT 2024.
If tan θ = √3, what is θ in the first quadrant?
Show AnswerAnswer: 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 $720 with a 20% profit. What is the cost price?
Show AnswerAnswer: B) $600
Explanation: Let cost price = x. Then, 1.2x = 720 → x = 720 ÷ 1.2 = $600.
SSC CHSL 2024 Geometry MCQ: Rectangle Perimeter
This question resembles SSC CHSL Tier 1 2022.
The perimeter of a rectangle with length 16 cm and width 9 cm is:
Show AnswerAnswer: B) 50 cm
Explanation: Perimeter = 2 × (length + width) = 2 × (16 + 9) = 50 cm.
SSC CGL 2025 Percentage MCQ: Sequential Change
This question resembles SSC CGL Tier 1 2023.
A number is increased by 25% and then decreased by 25%. What is the net percentage change?
Show AnswerAnswer: A) 6.25% decrease
Explanation: Let number = 100. After 25% increase, number = 125. After 25% decrease, number = 125 × 0.75 = 93.75. Net change = (93.75 – 100) ÷ 100 = -6.25%.
SSC CHSL 2024 Geometry MCQ: Triangle Angles
This question resembles SSC CHSL Tier 1 2021.
The angles of a triangle are in the ratio 3:4:5. What is the largest angle?
Show AnswerAnswer: C) 90°
Explanation: Let angles be 3x, 4x, 5x. Then, 3x + 4x + 5x = 180 → 12x = 180 → x = 15. Largest angle = 5x = 5 × 15 = 90°.
SSC CGL 2025 Algebra MCQ: Linear Equations
This question resembles SSC CGL Tier 2 2022.
If 5x + 3y = 29 and x + y = 7, what is y?
Show AnswerAnswer: C) 4
Explanation: From x + y = 7, x = 7 – y. Substitute into 5x + 3y = 29: 5(7 – y) + 3y = 29 → 35 – 5y + 3y = 29 → -2y = -6 → y = 3.
RRB NTPC 2025 Speed MCQ: Relative Speed
This question resembles RRB NTPC CBT 1 2023.
Two trains of speeds 80 km/h and 100 km/h are moving towards each other. How long will they take to cross each other if their lengths are 400 m and 600 m?
Show AnswerAnswer: B) 10 seconds
Explanation: Relative speed = 80 + 100 = 180 km/h = 180 × (5/18) = 50 m/s. Total distance = 400 + 600 = 1000 m. Time = 1000 ÷ 50 = 10 seconds.
SSC CHSL 2024 Geometry MCQ: Square Area
This question resembles SSC CHSL Tier 1 2024.
The area of a square with side 12 cm is:
Show AnswerAnswer: B) 144 cm²
Explanation: Area = side² = 12 × 12 = 144 cm².
SSC CGL 2025 Time and Work MCQ: Worker Days
This question resembles SSC CGL Tier 2 2021.
If 6 workers complete a task in 15 days, how long will 10 workers take?
Show AnswerAnswer: B) 9 days
Explanation: Total work = 6 × 15 = 90 worker-days. Time for 10 workers = 90 ÷ 10 = 9 days.
IBPS PO 2024 Exponents MCQ: Power Calculation
This question resembles IBPS PO Prelims 2023.
The value of 4² × 5² is:
Show AnswerAnswer: A) 400
Explanation: 4² = 16, 5² = 25. So, 16 × 25 = 400.
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?
Show AnswerAnswer: B) 100
Explanation: Let number = x. Then, 1.4x = 140 → x = 140 ÷ 1.4 = 100.
SSC CHSL 2024 Geometry MCQ: Triangle Angles
This question resembles SSC CHSL Tier 1 2022.
The angles of a triangle are in the ratio 2:3:3. What is the largest angle?
Show AnswerAnswer: A) 67.5°
Explanation: Let angles be 2x, 3x, 3x. Then, 2x + 3x + 3x = 180 → 8x = 180 → x = 22.5. Largest angle = 3x = 3 × 22.5 = 67.5°.
CAT 2024 Algebra MCQ: Expression Simplification
This question resembles CAT 2023.
If a = 6 and b = 2, what is the value of a² – b²?
Show AnswerAnswer: B) 32
Explanation: a² – b² = 6² – 2² = 36 – 4 = 32.
RRB NTPC 2025 Boats and Streams MCQ: Downstream Time
This question resembles RRB NTPC CBT 2 2022.
A boat travels 72 km downstream in 3 hours. If the stream speed is 3 km/h, what is the boat’s speed in still water?
Show AnswerAnswer: B) 21 km/h
Explanation: Downstream speed = 72 ÷ 3 = 24 km/h. Boat speed = 24 – 3 = 21 km/h.
SSC CHSL 2024 Geometry MCQ: Square Diagonal
This question resembles SSC CHSL Tier 1 2023.
The diagonal of a square with side 8 cm is:
Show AnswerAnswer: C) 11.31 cm
Explanation: Diagonal = side × √2 = 8 × 1.414 ≈ 11.31 cm.
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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