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CSS MCQs

Civil Superior Services — Complete MCQ Bank

44 Questions
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How to prepare for CSS

CSS is Pakistan’s premier federal competitive examination. Strong preparation requires conceptual clarity, broad general knowledge and consistent practice across compulsory and optional areas.

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41
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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42
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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43
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
44
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.
Submitted by: PaperMCQs
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