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Mathematics MCQs

MCQs on Algebra, Calculus, Statistics and Geometry

61 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.
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41
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.
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42
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.
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43
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.
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44
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.
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45
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.
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46
Easy fpsc ppsc nts

What is the area of a circle with radius 7 cm using π = 22/7?

  • A 154 cm²
  • B 144 cm²
  • C 164 cm²
  • D 174 cm²
Permalink
Correct Answer: Option A — 154 cm²
Explanation: Area = π × r² = (22/7) × 7 × 7 = 22 × 7 = 154 cm². Using π = 22/7 is standard in competitive exams for ease of calculation. Circle area formulas are applied in problems involving fields circular tracks rings and cross-sections of cylindrical or spherical objects.
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47
Easy fpsc ppsc nts

A shopkeeper buys an item for Rs 200 and sells it for Rs 250. What is the profit percentage?

  • A 20%
  • B 25%
  • C 30%
  • D 35%
Permalink
Correct Answer: Option B — 25%
Explanation: Profit = 250 - 200 = Rs 50. Profit percentage = (50 ÷ 200) × 100 = 25%. Profit and loss percentage calculations are heavily tested in competitive exams. A key distinction is that profit percentage is always calculated on cost price unless stated otherwise which is a common source of error.
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48
Easy fpsc ppsc nts

What is the HCF of 12 and 18?

  • A 4
  • B 6
  • C 9
  • D 12
Permalink
Correct Answer: Option B — 6
Explanation: The Highest Common Factor of 12 and 18 is 6. Factors of 12 are 1 2 3 4 6 12 and factors of 18 are 1 2 3 6 9 18. The largest common factor is 6. HCF is used in simplifying fractions dividing groups equally and solving problems involving equal distribution without a remainder.
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49
Easy fpsc ppsc nts

If a train travels 120 km in 2 hours what is its speed?

  • A 50 km/h
  • B 60 km/h
  • C 70 km/h
  • D 80 km/h
Permalink
Correct Answer: Option B — 60 km/h
Explanation: Speed equals distance divided by time: 120 ÷ 2 = 60 km/h. The speed-distance-time relationship is one of the most tested topics in competitive exams. Problems often require finding any one variable when the other two are given including problems involving relative speed average speed and time calculations.
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50
Easy fpsc ppsc nts

What is the perimeter of a rectangle with length 8 cm and width 5 cm?

  • A 26 cm
  • B 28 cm
  • C 30 cm
  • D 32 cm
Permalink
Correct Answer: Option A — 26 cm
Explanation: Perimeter of rectangle = 2×(length + width) = 2×(8+5) = 2×13 = 26 cm. Perimeter measures total boundary length. Rectangle perimeter formulas are used in fencing construction and measurement problems and appear regularly in entry-level competitive exam geometry sections alongside area and diagonal calculations.
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51
Easy fpsc ppsc nts

Which of the following is a prime number?

  • A 1
  • B 9
  • C 15
  • D 17
Permalink
Correct Answer: Option D — 17
Explanation: 17 is a prime number having exactly two factors: 1 and itself. The number 1 is neither prime nor composite. 9 equals 3×3 and 15 equals 3×5 so both are composite. Prime numbers are fundamental in number theory cryptography and competitive exam questions on divisibility HCF LCM and factorization.
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52
Easy fpsc ppsc nts

What is 2 raised to the power of 10?

  • A 512
  • B 1000
  • C 1024
  • D 2048
Permalink
Correct Answer: Option C — 1024
Explanation: 2 to the power of 10 equals 1024 calculated as ten successive multiplications of 2. Powers of 2 are important in computer science and mathematics. Memorizing powers of 2 up to at least 2 to the power 12 (4096) is useful for competitive exams involving binary calculations and number theory topics.
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53
Easy fpsc ppsc nts

The sum of angles in a triangle is?

  • A 90 degrees
  • B 180 degrees
  • C 270 degrees
  • D 360 degrees
Permalink
Correct Answer: Option B — 180 degrees
Explanation: The interior angles of any triangle always sum to exactly 180 degrees. This fundamental theorem of Euclidean geometry applies to all triangles whether equilateral isosceles scalene right-angled or obtuse. It is frequently used to find unknown angles in triangles and polygons and is foundational for all geometry questions.
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54
Easy fpsc ppsc nts

What is the LCM of 4 and 6?

  • A 12
  • B 18
  • C 24
  • D 36
Permalink
Correct Answer: Option A — 12
Explanation: The Least Common Multiple of 4 and 6 is 12. For 4 (2²) and 6 (2×3) LCM = 2²×3 = 12. LCM is the smallest positive integer divisible by both numbers. It is used in adding fractions finding common denominators and solving problems involving cycles or periodic events in competitive exam arithmetic.
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55
Easy fpsc ppsc nts

If x + 5 = 12 what is the value of x?

  • A 5
  • B 6
  • C 7
  • D 8
Permalink
Correct Answer: Option C — 7
Explanation: Solving x + 5 = 12: subtract 5 from both sides giving x = 7. This is a basic linear equation in one variable. Linear equations form the foundation of algebra and appear in virtually every competitive exam. Mastering quick solutions to such equations is essential for tackling more complex word problems accurately.
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56
Easy fpsc ppsc nts

What is the value of π (pi) up to two decimal places?

  • A 3.12
  • B 3.14
  • C 3.16
  • D 3.18
Permalink
Correct Answer: Option B — 3.14
Explanation: Pi (π) is an irrational constant representing the ratio of a circle's circumference to its diameter. Its value is approximately 3.14159 rounded to 3.14. Pi appears extensively in geometry trigonometry and calculus including formulas for area circumference of circles volume of spheres and numerous physics and engineering equations.
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57
Easy ppsc nts

If a rectangle has length 8m and width 5m, what is its area?

  • A 26 sq m
  • B 40 sq m
  • C 13 sq m
  • D 80 sq m
Permalink
Correct Answer: Option B — 40 sq m
Explanation: Area of Rectangle = Length × Width = 8 × 5 = 40 square meters. Perimeter = 2(L+W) = 2(8+5) = 26 meters.
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58
Easy fpsc ppsc nts

What is the square root of 144?

  • A 11
  • B 12
  • C 13
  • D 14
Permalink
Correct Answer: Option B — 12
Explanation: The square root of 144 = 12, because 12 × 12 = 144. Perfect squares to memorize: 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225.
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59
Easy fpsc ppsc nts

Solve: 2x + 5 = 15, find x

  • A x = 4
  • B x = 5
  • C x = 6
  • D x = 7
Permalink
Correct Answer: Option B — x = 5
Explanation: 2x + 5 = 15 → 2x = 15 - 5 → 2x = 10 → x = 10/2 → x = 5. Always verify: 2(5) + 5 = 10 + 5 = 15 ✓
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60
Easy ppsc nts

What is 15% of 200?

  • A 25
  • B 30
  • C 35
  • D 40
Permalink
Correct Answer: Option B — 30
Explanation: 15% of 200 = (15/100) × 200 = 0.15 × 200 = 30. Percentage calculations are fundamental in competitive exams.
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