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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
1031
Mathematics Medium

If P(A)=0.4 and P(B)=0.3 and events are mutually exclusive what is P(A or B)?

  • A0.12
  • B0.58
  • C0.70
  • D0.82
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Correct Answer: Option C — 0.70
Explanation: For mutually exclusive events P(A or B) = P(A)+P(B) = 0.4+0.3 = 0.7. Mutually exclusive events cannot occur simultaneously. The addition rule for mutually exclusive events simply adds probabilities. For non-mutually exclusive events we must subtract P(A and B) to avoid double counting.
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1032
Mathematics Medium

A pipe fills a tank in 6 hours another empties it in 8 hours. Both open: how long to fill?

  • A24 hours
  • B20 hours
  • C18 hours
  • D16 hours
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Correct Answer: Option A — 24 hours
Explanation: Net fill rate = 1/6 - 1/8 = 4/24 - 3/24 = 1/24 per hour. Time = 24 hours. Pipes and cisterns problems use the same framework as work problems where filling pipes add rates and draining pipes subtract rates. Combining rates correctly is the key skill tested in these extremely common aptitude questions.
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1033
Mathematics Medium

The product of two numbers is 48 and their HCF is 4. What is their LCM?

  • A12
  • B16
  • C24
  • D48
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Correct Answer: Option A — 12
Explanation: LCM × HCF = Product of the two numbers. LCM = 48 ÷ 4 = 12. This important formula is frequently tested in competitive exams. It allows rapid calculation of LCM or HCF when the product and one factor are known making it a key shortcut for number theory problems in timed exam conditions.
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1034
Mathematics Medium

If 5 workers finish a job in 8 days how many days will 10 workers take?

  • A2 days
  • B4 days
  • C6 days
  • D8 days
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Correct Answer: Option B — 4 days
Explanation: Total work = 5×8 = 40 worker-days. With 10 workers: days = 40÷10 = 4 days. Work and time problems rely on the inverse relationship between number of workers and time. They are among the most common question types in competitive exams requiring understanding of work rate as a fundamental concept.
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1035
Mathematics Medium

A man walks 4 km North then 3 km East. How far is he from the start?

  • A5 km
  • B6 km
  • C7 km
  • D8 km
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Correct Answer: Option A — 5 km
Explanation: This forms a right triangle with legs 4 and 3. Distance = √(4²+3²) = √(16+9) = √25 = 5 km. The 3-4-5 Pythagorean triple is the most commonly used in competitive exams. The Pythagorean theorem a²+b²=c² is applied in distance navigation construction and coordinate geometry problems.
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1036
Mathematics Medium

In a right triangle if one angle is 30° what is the other acute angle?

  • A45°
  • B50°
  • C60°
  • D70°
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Correct Answer: Option C — 60°
Explanation: Sum of angles = 180°. With 90° and 30° the third angle = 180°-90°-30° = 60°. The 30-60-90 triangle has side ratios 1:√3:2 and is one of the most important special triangles in mathematics. It appears extensively in trigonometry geometry and physics problems in all levels of competitive examinations.
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1037
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.
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1038
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.
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1039
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.
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1040
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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