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CSS MCQs

Civil Superior Services — Complete MCQ Bank

899 Questions
Exam Preparation Guide

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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531
Mathematics Medium

How many ways can 4 people be arranged in a line?

  • A16
  • B24
  • C32
  • D48
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Correct Answer: Option B — 24
Explanation: Arrangements of 4 distinct objects in a line = 4! = 4×3×2×1 = 24. Permutations apply when order matters while combinations apply when it does not. This fundamental counting principle appears in probability seating arrangement and scheduling problems throughout competitive exam quantitative aptitude sections.
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532
Mathematics Medium

What is the value of (1/2) raised to the power of negative 2?

  • A1/4
  • B1/2
  • C2
  • D4
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Correct Answer: Option D — 4
Explanation: (1/2)^(-2) = 2² = 4. A negative exponent means taking the reciprocal: (a/b)^(-n) = (b/a)^n. Negative and fractional exponents frequently appear in competitive exam algebra. Understanding this rule prevents errors and enables simplification of complex exponential expressions in higher-level mathematics questions.
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533
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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534
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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535
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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536

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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537

The Islamic scholarly term 'Nasikh' and 'Mansukh' refers to?

  • ATwo types of prayers
  • BAbrogating and abrogated Quranic verses
  • CTwo types of Hadith narrators
  • DTwo categories of Islamic law
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Correct Answer: Option B — Abrogating and abrogated Quranic verses
Explanation: Nasikh refers to abrogating verses and Mansukh to abrogated verses in the Quran. When a later verse supersedes an earlier ruling the earlier is Mansukh and later is Nasikh. This concept is vital in Islamic jurisprudence explaining why some earlier Quranic rulings were modified during the Prophet's lifetime as community needs evolved.
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538

What does the term 'Tawakkul' mean in Islamic spirituality?

  • ARepentance
  • BReliance and trust in Allah
  • CGratitude
  • DPatience
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Correct Answer: Option B — Reliance and trust in Allah
Explanation: Tawakkul means complete reliance and trust in Allah after taking all necessary worldly means. It is not passivity but the combination of effort and faith. The Quran in Surah At-Talaq (65:3) states that whoever trusts Allah He will be sufficient. It is a central spiritual concept in Islamic practice and Sufi tradition.
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539

The Quran was first translated into a foreign language in which century?

  • A6th century
  • B7th century
  • C8th century
  • D10th century
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Correct Answer: Option C — 8th century
Explanation: The Quran was first translated into a foreign language in the 8th century AD when Salman Al-Farisi had translated Surah Al-Fatiha into Persian during the time of the Prophet. The first systematic full translation was into Latin in the 12th century by Robert of Ketton commissioned by Peter the Venerable to facilitate Christian understanding of Islam.
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540

The famous Islamic philosopher Ibn Rushd known as Averroes is most known for his?

  • AMedical encyclopedia
  • BCommentaries on Aristotle
  • CTravel writings
  • DAlgebraic discoveries
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Correct Answer: Option B — Commentaries on Aristotle
Explanation: Ibn Rushd (1126-1198 AD) known as Averroes in the West is most celebrated for his extensive commentaries on the works of Aristotle which were translated into Latin and profoundly influenced medieval European scholasticism. His works helped reintroduce Greek philosophy to Europe contributing significantly to the Renaissance. He was also a physician jurist and theologian.
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