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).
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, 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
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 $600 with a 20% profit. What is the cost price?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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?
Show AnswerAnswer: 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:
Show AnswerAnswer: 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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