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FPSC MCQs

Federal Public Service Commission — Complete MCQ Bank

1,458 Questions
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FPSC recruitment tests assess subject knowledge, general ability and job-related competence for federal government positions across Pakistan.

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1101
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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1102
Mathematics Easy

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

  • A154 cm²
  • B144 cm²
  • C164 cm²
  • D174 cm²
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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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1103
Mathematics Easy

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

  • A20%
  • B25%
  • C30%
  • D35%
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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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1104
Mathematics Easy

What is the HCF of 12 and 18?

  • A4
  • B6
  • C9
  • D12
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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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1105
Mathematics Easy

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

  • A50 km/h
  • B60 km/h
  • C70 km/h
  • D80 km/h
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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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1106
Mathematics Easy

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

  • A26 cm
  • B28 cm
  • C30 cm
  • D32 cm
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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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1107
Mathematics Easy

Which of the following is a prime number?

  • A1
  • B9
  • C15
  • D17
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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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1108
Mathematics Easy

What is 2 raised to the power of 10?

  • A512
  • B1000
  • C1024
  • D2048
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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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1109
Mathematics Easy

The sum of angles in a triangle is?

  • A90 degrees
  • B180 degrees
  • C270 degrees
  • D360 degrees
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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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1110
Mathematics Easy

What is the LCM of 4 and 6?

  • A12
  • B18
  • C24
  • D36
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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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