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FPSC MCQs

Federal Public Service Commission — Complete MCQ Bank

94 Questions
Exam Preparation Guide

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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61
Mathematics Medium

What is the value of log base 10 of 1000?

  • A2
  • B3
  • C4
  • D5
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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
Mathematics Medium

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

  • A10
  • B12
  • C14
  • D16
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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
Mathematics Medium

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

  • ARs 200
  • BRs 210
  • CRs 220
  • DRs 100
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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
Mathematics Medium

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

  • A20
  • B25
  • C30
  • D35
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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.
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65
Mathematics Medium

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

  • A4%
  • B5%
  • C6%
  • D8%
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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
Mathematics Medium

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

  • Aa + b
  • Ba - b
  • Ca² + b²
  • Dab
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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
Mathematics Easy

What is the value of 3 factorial?

  • A3
  • B6
  • C9
  • D12
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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
Mathematics Easy

What is the expansion of (a + b)²?

  • Aa² + b²
  • Ba² - b²
  • Ca² + 2ab + b²
  • Da² - 2ab + b²
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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.
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69
Mathematics Easy

What is the value of (3² + 4²)?

  • A5
  • B25
  • C7
  • D49
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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.
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70
Mathematics Easy

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

  • A27 cm
  • B32 cm
  • C36 cm
  • D40 cm
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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
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