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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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1041
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.
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1042
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.
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1043
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.
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1044
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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1045
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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1046
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.
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1047
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.
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1048
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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1049
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.
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1050
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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