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FPSC MCQs

Federal Public Service Commission — Complete MCQ Bank

94 Questions
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How to prepare for FPSC

FPSC recruitment tests assess subject knowledge, general ability and job-related competence for federal government positions across Pakistan.

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Read the official syllabus first, then combine subject-specific revision with timed mixed-question practice.
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71
Mathematics Easy

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

  • A5
  • B6
  • C7
  • D4
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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
Mathematics Easy

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

  • A1/4
  • B1/3
  • C1/2
  • D3/4
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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.
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73
Mathematics Easy

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

  • A3
  • B4
  • C7
  • D9
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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
Mathematics Easy

The volume of a cube with side 5 cm is?

  • A100 cm³
  • B115 cm³
  • C125 cm³
  • D130 cm³
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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.
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75
Mathematics Easy

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

  • A25 cm²
  • B30 cm²
  • C35 cm²
  • D40 cm²
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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.
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76
Mathematics Easy

What is 0.25 expressed as a fraction in simplest form?

  • A1/2
  • B1/4
  • C1/5
  • D2/5
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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
Mathematics Easy

What is the sum of first 10 natural numbers?

  • A45
  • B50
  • C55
  • D60
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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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78
Mathematics Easy

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

  • A10
  • B12
  • C14
  • D16
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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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79
Mathematics Easy

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

  • A108
  • B162
  • C216
  • D324
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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
Mathematics Easy

A number is divisible by 9 if?

  • AThe last digit is 9
  • BThe sum of digits is divisible by 9
  • CIt ends in 0 or 9
  • DIt is divisible by 3 only
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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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