Join WhatsApp ChannelDaily MCQs & Exam Updates

Mathematics MCQs

MCQs on Algebra, Calculus, Statistics and Geometry

96 Questions
Subject Preparation Guide

Prepare Mathematics with confidence

Develop speed and accuracy in arithmetic, algebra, geometry, percentages, ratios and other quantitative concepts.

ArithmeticAlgebraGeometryPercentages and Ratios
Helpful for academic exams, aptitude tests, NTS and quantitative competitive papers.
Mathematics preparation illustration
Filter: All Exams css pms fpsc ppsc nts | All Easy Medium Hard
61
Medium css fpsc ppsc

What is the value of log base 10 of 1000?

  • A 2
  • B 3
  • C 4
  • D 5
Permalink
Correct Answer: Option B — 3
Explanation: 3! = 3 × 2 × 1 = 6. Factorial of n is the product of all positive integers from 1 to n. Factorials are fundamental in permutations combinations probability calculations and the binomial theorem. Key values to memorize include 0!=1 1!=1 2!=2 3!=6 4!=24 5!=120 and 6!=720 for fast competitive exam solutions.
Submitted by: PaperMCQs
62
Medium fpsc ppsc nts

If 3x - 7 = 2x + 5 what is x?

  • A 10
  • B 12
  • C 14
  • D 16
Permalink
Correct Answer: Option B — 12
Explanation: Subtract 2x: x - 7 = 5. Add 7: x = 12. Solving linear equations with variables on both sides is a core algebraic skill. Such equations frequently appear in word problems about ages work rates and number relationships in competitive exams. The key step is collecting like terms on each side methodically.
Submitted by: PaperMCQs
63
Medium fpsc ppsc nts

What is the compound interest on Rs 1000 for 2 years at 10% per annum?

  • A Rs 200
  • B Rs 210
  • C Rs 220
  • D Rs 100
Permalink
Correct Answer: Option B — Rs 210
Explanation: CI = P(1+r/100)ⁿ - P = 1000(1.1)² - 1000 = 1210 - 1000 = Rs 210. Compound interest exceeds simple interest because interest is earned on previously accumulated interest. CI problems appear in banking and finance sections of competitive exams and require correct application of the compound interest formula.
Submitted by: PaperMCQs
64
Medium fpsc ppsc nts

Two numbers are in ratio 5:3 and their sum is 40. What is the larger number?

  • A 20
  • B 25
  • C 30
  • D 35
Permalink
Correct Answer: Option B — 25
Explanation: Let numbers be 5x and 3x. Sum = 8x = 40 so x = 5. Larger = 5×5 = 25. Ratio problems requiring algebraic substitution are consistent in competitive exams. Using a common multiplier x to represent ratio parts then solving with the given total sum or difference is the most reliable standard method.
Submitted by: PaperMCQs
65
Medium fpsc ppsc nts

If the simple interest on Rs 1000 for 2 years is Rs 100 what is the rate?

  • A 4%
  • B 5%
  • C 6%
  • D 8%
Permalink
Correct Answer: Option B — 5%
Explanation: SI = (P×R×T)/100 → 100 = (1000×R×2)/100 → 100 = 20R → R = 5%. Simple interest problems are standard in competitive exams. The ability to rearrange the SI formula to find principal rate or time is a key skill. Always identify which variable is unknown and rearrange accordingly before substituting values.
Submitted by: PaperMCQs
66
Medium css fpsc ppsc nts

Simplify: (a² - b²) divided by (a - b)

  • A a + b
  • B a - b
  • C a² + b²
  • D ab
Permalink
Correct Answer: Option A — a + b
Explanation: a² - b² factors as (a+b)(a-b) using the difference of squares identity. Dividing by (a-b) cancels that factor leaving (a+b). Recognizing algebraic identities including difference of squares perfect square trinomials and sum or difference of cubes is essential for quickly simplifying expressions in competitive exam algebra sections.
Submitted by: PaperMCQs
67
Easy fpsc ppsc nts

What is the value of 3 factorial?

  • A 3
  • B 6
  • C 9
  • D 12
Permalink
Correct Answer: Option B — 6
Explanation: 3! = 3 × 2 × 1 = 6. Factorial of n is the product of all positive integers from 1 to n. Factorials appear in permutations combinations probability and the binomial theorem. Key values to memorize are: 0!=1 1!=1 2!=2 3!=6 4!=24 5!=120 6!=720 for competitive exam speed and accuracy.
Submitted by: PaperMCQs
68
Easy css fpsc ppsc nts

What is the expansion of (a + b)²?

  • A a² + b²
  • B a² - b²
  • C a² + 2ab + b²
  • D a² - 2ab + b²
Permalink
Correct Answer: Option C — a² + 2ab + b²
Explanation: (a+b)² = a² + 2ab + b². This is one of the most fundamental algebraic identities alongside (a-b)² = a²-2ab+b² and (a+b)(a-b) = a²-b². These three identities are the foundation of algebra and appear constantly in competitive exam questions. Memorizing and recognizing them is essential for quick problem solving.
Submitted by: PaperMCQs
69
Easy fpsc ppsc nts

What is the value of (3² + 4²)?

  • A 5
  • B 25
  • C 7
  • D 49
Permalink
Correct Answer: Option B — 25
Explanation: 3² = 9 and 4² = 16. Sum = 9 + 16 = 25. Notably √25 = 5 illustrating the 3-4-5 Pythagorean triple where 3² + 4² = 5². Recognizing Pythagorean triples such as 3-4-5 and 5-12-13 saves significant calculation time in competitive exam geometry distance and right triangle problems.
Submitted by: PaperMCQs
70
Easy fpsc ppsc nts

What is the perimeter of a square with side 9 cm?

  • A 27 cm
  • B 32 cm
  • C 36 cm
  • D 40 cm
Permalink
Correct Answer: Option C — 36 cm
Explanation: Perimeter of square = 4 × side = 4 × 9 = 36 cm. For a square all four sides are equal so perimeter is simply four times the side length. Knowing the relationship between side length perimeter area and diagonal of a square is a basic geometry requirement for all competitive exam mathematics sections.
Submitted by: PaperMCQs
71
Easy fpsc ppsc nts

What is the median of data: 3 7 5 9 1?

  • A 5
  • B 6
  • C 7
  • D 4
Permalink
Correct Answer: Option A — 5
Explanation: Arranging in order: 1 3 5 7 9. The middle value (3rd of 5) is 5. Median divides data into two equal halves and is unaffected by extreme outliers unlike the mean. Mean median and mode are the three measures of central tendency frequently tested in the statistics portion of competitive exam quantitative sections.
Submitted by: PaperMCQs
72
Easy fpsc ppsc nts

What is the probability of getting a head when a fair coin is tossed?

  • A 1/4
  • B 1/3
  • C 1/2
  • D 3/4
Permalink
Correct Answer: Option C — 1/2
Explanation: A fair coin has two equally likely outcomes: head and tail. Probability = favorable outcomes / total outcomes = 1/2. This foundational concept establishes equally likely outcomes. Classical probability assumes equal likelihood and forms the basis of all probability calculations from simple coin tosses to complex combinatorial problems.
Submitted by: PaperMCQs
73
Easy fpsc ppsc nts

What is the mode of data: 4 7 4 9 7 4 3?

  • A 3
  • B 4
  • C 7
  • D 9
Permalink
Correct Answer: Option B — 4
Explanation: Mode is the value appearing most frequently. In this set 4 appears three times more than any other making 4 the mode. A data set can be unimodal bimodal or multimodal. Mode is especially useful for categorical data and is one of the three measures of central tendency alongside mean and median.
Submitted by: PaperMCQs
74
Easy fpsc ppsc nts

The volume of a cube with side 5 cm is?

  • A 100 cm³
  • B 115 cm³
  • C 125 cm³
  • D 130 cm³
Permalink
Correct Answer: Option C — 125 cm³
Explanation: Volume of cube = side³ = 5×5×5 = 125 cm³. Volume formulas for cube cuboid cylinder cone and sphere are standard in competitive exam geometry. These problems often combine volume with surface area calculations or require unit conversions making accurate formula recall a critical competitive exam skill.
Submitted by: PaperMCQs
75
Easy fpsc ppsc nts

What is the area of a triangle with base 10 cm and height 6 cm?

  • A 25 cm²
  • B 30 cm²
  • C 35 cm²
  • D 40 cm²
Permalink
Correct Answer: Option B — 30 cm²
Explanation: Area of triangle = (1/2) × base × height = (1/2) × 10 × 6 = 30 cm². This formula applies to all triangles when the perpendicular height is known. For triangles where only sides are given Heron's formula is used. Triangle area calculations are fundamental and appear across all competitive exam geometry sections.
Submitted by: PaperMCQs
76
Easy fpsc ppsc nts

What is 0.25 expressed as a fraction in simplest form?

  • A 1/2
  • B 1/4
  • C 1/5
  • D 2/5
Permalink
Correct Answer: Option B — 1/4
Explanation: 0.25 = 25/100 = 1/4 after dividing by 25. Converting between decimals fractions and percentages is fundamental: 0.25 = 1/4 = 25% are equivalent forms. Such conversions appear extensively in competitive exam arithmetic ratio and percentage questions and must be performed quickly and accurately.
Submitted by: PaperMCQs
77
Easy fpsc ppsc nts

What is the sum of first 10 natural numbers?

  • A 45
  • B 50
  • C 55
  • D 60
Permalink
Correct Answer: Option C — 55
Explanation: Sum of first n natural numbers = n(n+1)/2. For n=10: 10×11/2 = 55. This formula was famously demonstrated by Gauss. The formulas for sum of natural numbers squares and cubes are essential tools frequently tested in competitive exam questions on arithmetic series and progression problems.
Submitted by: PaperMCQs
78
Easy fpsc ppsc nts

The ratio of boys to girls is 3:2. If there are 30 students how many are girls?

  • A 10
  • B 12
  • C 14
  • D 16
Permalink
Correct Answer: Option B — 12
Explanation: Total ratio parts = 3+2 = 5. Girls = (2/5)×30 = 12. Ratio and proportion problems are extensively tested. They require dividing quantities according to ratios and appear in problems about mixtures alloys speed partnership and map scales. Always identify the correct ratio part for the quantity being sought.
Submitted by: PaperMCQs
79
Easy fpsc ppsc nts

What is the next term in the sequence 2 6 18 54?

  • A 108
  • B 162
  • C 216
  • D 324
Permalink
Correct Answer: Option B — 162
Explanation: Each term multiplies by 3: 2×3=6 6×3=18 18×3=54 54×3=162. This is a geometric progression with common ratio 3. Identifying patterns in number sequences whether arithmetic geometric or mixed is a common question type in aptitude tests requiring pattern recognition and quick analytical thinking skills.
Submitted by: PaperMCQs
80
Easy fpsc ppsc nts

A number is divisible by 9 if?

  • A The last digit is 9
  • B The sum of digits is divisible by 9
  • C It ends in 0 or 9
  • D It is divisible by 3 only
Permalink
Correct Answer: Option B — The sum of digits is divisible by 9
Explanation: A number is divisible by 9 when the sum of all its digits is divisible by 9. For example 729: 7+2+9=18 which is divisible by 9. Divisibility rules for 2 3 4 5 6 7 8 9 10 and 11 are important shortcuts saving significant time in competitive exam arithmetic and number theory questions.
Submitted by: PaperMCQs
All Subjects
Biology 100 Chemistry 99 Computer Science 120 Current Affairs 386
1–4 of 11Auto-changing every 5s
Academic Subjects
Physics9th Class 248
View All Academic Classes
Mock Tests
Quick Test (20 Q) Full Mock Test