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CSS MCQs

Civil Superior Services — Complete MCQ Bank

84 Questions
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41
Mathematics Hard Uploaded: 21 Jun 2026

Differentiate f(x) = sin(x) + cos(x) with respect to x

  • Acos(x) - sin(x)
  • Bsin(x) - cos(x)
  • C-sin(x) + cos(x)
  • Dcos(x) + sin(x)
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42
Mathematics Hard Uploaded: 21 Jun 2026

A bag has 5 red and 3 blue balls. What is the probability of drawing 2 red balls?

  • A5/14
  • B10/28
  • C10/56
  • D5/28
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43
Mathematics Hard Uploaded: 21 Jun 2026

What is the value of log base 2 of 32 plus log base 2 of 4?

  • A7
  • B8
  • C9
  • D6
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44
Mathematics Hard Uploaded: 21 Jun 2026

The function f(x) = x² is an example of what type of function?

  • ALinear
  • BEven
  • COdd
  • DInverse
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45
Mathematics Hard Uploaded: 21 Jun 2026

Solve: x² + 4x + 4 = 0 and identify the nature of roots

  • ATwo distinct real roots
  • BOne repeated real root
  • CTwo complex roots
  • DNo roots
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46
Mathematics Hard Uploaded: 21 Jun 2026

What is the inverse of the 2x2 matrix with rows [1 2] and [3 4]?

  • A[-2 1] and [1.5 -0.5]
  • B[4 -2] and [-3 1]
  • C[1 -2] and [-3 4]
  • DDoes not exist
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47
Mathematics Hard Uploaded: 21 Jun 2026

What is the value of (2+3i)(2-3i)?

  • A4+9i
  • B4-9i
  • C13
  • D7
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48
Mathematics Hard Uploaded: 21 Jun 2026

In a class 60% passed math 70% passed English and 20% failed both. What % passed both?

  • A50%
  • B40%
  • C30%
  • D60%
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49
Mathematics Hard Uploaded: 21 Jun 2026

A mixture of 40 liters has milk:water ratio 3:1. How much water to add for ratio 3:2?

  • A5 liters
  • B8 liters
  • C10 liters
  • D12 liters
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50
Mathematics Hard Uploaded: 21 Jun 2026

What is tan(A+B) equal to?

  • A(tan A + tan B)/(1 - tan A·tan B)
  • B(tan A - tan B)/(1 + tan A·tan B)
  • Ctan A × tan B
  • Dtan A + tan B
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