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PPSC MCQs

Punjab Public Service Commission — Complete MCQ Bank

1,259 Questions
Exam Preparation Guide

How to prepare for PPSC

PPSC examinations recruit candidates for Punjab government departments and commonly test general knowledge, current affairs, English and post-related subjects.

Punjab AffairsGeneral KnowledgeCurrent AffairsEnglish
Give special attention to Punjab geography, history and administration alongside the advertised post’s specialist syllabus.
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All Subjects Biology Chemistry Computer Science Current Affairs English Everyday Science General Knowledge Islamic Studies Mathematics Pakistan Studies Physics
1001
Mathematics Medium

What is the nth term of arithmetic sequence 3 7 11 15?

  • A4n-1
  • B4n+1
  • C3n+1
  • D2n+3
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Correct Answer: Option A — 4n-1
Explanation: First term a=3 common difference d=4. nth term = a+(n-1)d = 3+4(n-1) = 4n-1. Verification: n=1→3 n=2→7 n=3→11 confirms correctness. Finding nth term formulas for arithmetic sequences is essential for sequences and series questions in competitive exams and is also used in salary progression and installment problems.
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1002
Mathematics Medium

What is the equation of a circle centered at origin with radius r?

  • Ax² + y² = r
  • Bx² - y² = r²
  • Cx² + y² = r²
  • Dx + y = r²
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Correct Answer: Option C — x² + y² = r²
Explanation: Standard equation of circle at origin: x²+y² = r². For center (h k): (x-h)²+(y-k)² = r². Circle equations including finding center and radius from general form and tangent line conditions are standard coordinate geometry topics in higher competitive exam papers including CSS and PMS.
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1003
Mathematics Medium

Solve the absolute value equation: |2x - 3| = 7

  • Ax=5 or x=-2
  • Bx=5 or x=2
  • Cx=-5 or x=2
  • Dx=4 or x=-2
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Correct Answer: Option A — x=5 or x=-2
Explanation: Two cases: 2x-3=7 → x=5 or 2x-3=-7 → x=-2. Absolute value equations always yield two cases. This concept appears in both equation and inequality forms in competitive exams. Always solve both cases and verify each solution satisfies the original equation to avoid extraneous solutions.
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1004
Mathematics Medium

What is the value of log(ab) in terms of log a and log b?

  • Alog a - log b
  • Blog a × log b
  • Clog a + log b
  • Dlog a / log b
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Correct Answer: Option C — log a + log b
Explanation: log(ab) = log a + log b is the product rule of logarithms. The three fundamental log rules: log(ab)=log a+log b (product) log(a/b)=log a-log b (quotient) log(aⁿ)=n×log a (power). These rules simplify complex logarithmic expressions and are heavily tested in competitive exam algebra.
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1005
Mathematics Medium

If f(x) = 2x² + 3x - 5 what is f(2)?

  • A9
  • B10
  • C11
  • D13
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Correct Answer: Option A — 9
Explanation: f(2) = 2(4) + 3(2) - 5 = 8 + 6 - 5 = 9. Function evaluation requires substituting the given value and simplifying carefully following order of operations. This skill is fundamental for calculus topics and appears in algebra sections of competitive exams testing polynomial function evaluation.
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1006
Mathematics Medium

What is the value of C(5 2)?

  • A5
  • B10
  • C15
  • D20
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Correct Answer: Option B — 10
Explanation: f(2) = 2(2²) + 3(2) - 5 = 8 + 6 - 5 = 9. Function evaluation requires substituting the given input value and carefully following order of operations. This skill is essential for polynomial and composite functions and appears in algebra and pre-calculus sections of competitive exams testing structured algebraic manipulation.
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1007
Mathematics Medium

What is the geometric mean of 4 and 16?

  • A6
  • B8
  • C10
  • D12
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Correct Answer: Option B — 8
Explanation: Geometric mean = √(a×b) = √(4×16) = √64 = 8. Geometric mean is appropriate for data involving ratios or multiplicative growth unlike arithmetic mean for additive data. The geometric mean always lies between the arithmetic mean (10) and harmonic mean of the same two numbers.
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1008
Mathematics Medium

The price after 20% discount is Rs 400. What was the original price?

  • ARs 480
  • BRs 500
  • CRs 520
  • DRs 540
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Correct Answer: Option B — Rs 500
Explanation: 0.8P = 400 → P = 500. Finding the original price before discount requires dividing by (1 - discount rate). Adding 20% to 400 gives the wrong answer. This is a common trap in competitive exams. Always divide by the remaining percentage fraction to find the original pre-discount price.
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1009
Mathematics Medium

What is the sum of interior angles of a hexagon?

  • A540°
  • B720°
  • C900°
  • D1080°
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Correct Answer: Option B — 720°
Explanation: Sum of interior angles = (n-2)×180°. For hexagon n=6: (6-2)×180° = 4×180° = 720°. This formula applies to all convex polygons. Each interior angle of a regular hexagon = 720°/6 = 120°. Polygon angle formulas are standard geometry topics in competitive exams at all levels.
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1010
Mathematics Medium

If the radius of a circle is doubled what happens to its area?

  • ADoubles
  • BTriples
  • CQuadruples
  • DRemains same
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Correct Answer: Option C — Quadruples
Explanation: Area = πr². If radius becomes 2r: new area = π(2r)² = 4πr² which is 4 times the original. When linear dimensions scale by factor k areas scale by k² and volumes by k³. This scaling relationship is tested in geometry problems involving similar figures and scale models in competitive exams.
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