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FPSC MCQs

Federal Public Service Commission — Complete MCQ Bank

2,313 Questions
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FPSC recruitment tests assess subject knowledge, general ability and job-related competence for federal government positions across Pakistan.

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1881
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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1882
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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1883
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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1884
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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1885
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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1886
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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1887
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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1888
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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1889
Mathematics Hard Uploaded: 21 Jun 2026

What is the sum of squares formula: a² + b² equals?

  • A(a+b)² - 2ab
  • B(a-b)² + 2ab
  • C(a+b)(a-b)
  • DBoth A and B
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1890
Mathematics Medium Uploaded: 21 Jun 2026

What is the expansion of (a-b)²?

  • Aa² + b²
  • Ba² - b²
  • Ca² + 2ab + b²
  • Da² - 2ab + b²
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