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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
1011
Mathematics Medium

A sum doubles itself in 8 years at simple interest. What is the rate?

  • A10%
  • B12.5%
  • C15%
  • D20%
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Correct Answer: Option B — 12.5%
Explanation: If principal = P then SI = P (since it doubles). SI = P×R×8/100 → P = P×R×8/100 → R = 100/8 = 12.5%. When money doubles at simple interest Rate = 100/Time. This relationship is a frequently tested shortcut in competitive exam problems about doubling or tripling periods.
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1012
Mathematics Medium

Find the roots of x² - 5x + 6 = 0

  • Ax=1 and x=6
  • Bx=2 and x=3
  • Cx=3 and x=4
  • Dx=2 and x=4
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Correct Answer: Option B — x=2 and x=3
Explanation: Factoring: find two numbers multiplying to 6 and adding to -5 which are -2 and -3. So (x-2)(x-3) = 0 giving x=2 and x=3. Factoring is the fastest method when roots are rational integers. When factoring fails the quadratic formula provides a reliable universal method for finding roots.
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1013
Mathematics Medium

A clock shows 3:00. What is the angle between the hour and minute hands?

  • A45°
  • B60°
  • C90°
  • D120°
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Correct Answer: Option C — 90°
Explanation: At 3:00 the minute hand is at 12 (0°) and the hour hand is at 3 (3×30°=90°). Angle = 90°. Each hour mark represents 30° and each minute represents 6°. Clock angle problems are popular in competitive aptitude tests requiring knowledge of how both hands move relative to each other.
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1014
Mathematics Medium

If 2 to the power x equals 64 what is x?

  • A5
  • B6
  • C7
  • D8
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Correct Answer: Option B — 6
Explanation: 64 = 2⁶ so x = 6. When bases are equal the exponents must be equal. Recognizing powers of common bases (2 3 5 10) enables quick solutions. Such exponential equations appear in algebra sections of competitive exams requiring rapid mental identification of the correct power.
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1015
Mathematics Medium

What is 30% of 40% of 500?

  • A50
  • B60
  • C70
  • D80
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Correct Answer: Option B — 60
Explanation: 40% of 500 = 200. 30% of 200 = 60. Successive percentages require applying one percentage to the result of another. This type appears in successive discount problems population growth and data interpretation. Never add the percentages directly as 70% of 500 gives the wrong answer of 350.
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1016
Mathematics Medium

The average of 5 consecutive even numbers is 20. What is the largest number?

  • A22
  • B24
  • C26
  • D28
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Correct Answer: Option B — 24
Explanation: Consecutive even numbers: n n+2 n+4 n+6 n+8. Average = n+4 = 20 so n=16. Largest = 16+8 = 24. Consecutive number problems are common in competitive exams. Setting up the correct algebraic representation and using the average formula is the standard approach for solving such sequence problems efficiently.
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1017
Mathematics Medium

In how many ways can the letters of MATHS be arranged?

  • A60
  • B100
  • C120
  • D150
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Correct Answer: Option C — 120
Explanation: MATHS has 5 distinct letters. Arrangements = 5! = 5×4×3×2×1 = 120. When all letters are distinct the answer is simply n!. When letters repeat divide by the factorial of each repeating letter frequency. Permutations of word letters is a classic competitive exam topic appearing in combinatorics and probability sections.
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1018
Mathematics Medium

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

  • A616 cm²
  • B600 cm²
  • C588 cm²
  • D624 cm²
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Correct Answer: Option A — 616 cm²
Explanation: Surface area = 4πr² = 4 × (22/7) × 49 = 4 × 22 × 7 = 616 cm². Sphere formulas for both surface area and volume (4/3)πr³ are standard geometry questions. Understanding which formula to apply and correctly substituting values including the radius is the key challenge in competitive exam geometry problems.
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1019
Mathematics Medium

Rationalize the denominator: 1 divided by √2

  • A√2/2
  • B√2
  • C1/2
  • D2/√2
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Correct Answer: Option A — √2/2
Explanation: Multiply numerator and denominator by √2: (1×√2)/(√2×√2) = √2/2. Rationalizing denominators removes irrational numbers from the denominator which is the conventional simplified form. This technique is a standard algebraic skill for simplifying surds and frequently appears in competitive exam algebra questions.
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1020
Mathematics Medium

Two dice are rolled. What is the probability of getting a sum of 7?

  • A1/6
  • B5/36
  • C6/36
  • D7/36
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Correct Answer: Option C — 6/36
Explanation: Total outcomes = 36. Pairs giving sum 7: (1+6 2+5 3+4 4+3 5+2 6+1) = 6 pairs. Probability = 6/36 = 1/6. Dice probability requires careful enumeration of favorable outcomes from the total sample space. Such problems test systematic counting skills and are extremely common in competitive exam probability sections.
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