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FPSC MCQs

Federal Public Service Commission — Complete MCQ Bank

136 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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51
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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52
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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53
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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54
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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55
Mathematics Hard Uploaded: 21 Jun 2026

What does a radian measure?

  • Aπ/2 degrees
  • B57.3 degrees
  • C90 degrees
  • D180 degrees
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56
Mathematics Medium Uploaded: 21 Jun 2026

What is the slope of a line perpendicular to y = 2x + 3?

  • A2
  • B-2
  • C1/2
  • D-1/2
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57
Mathematics Medium Uploaded: 21 Jun 2026

The sum of an infinite geometric series with first term 1 and ratio 1/2 is?

  • A1
  • B2
  • C3
  • D4
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58
Mathematics Medium Uploaded: 21 Jun 2026

If f(x) = x² - 4 what are the zeros of f(x)?

  • Ax = ±1
  • Bx = ±2
  • Cx = ±3
  • Dx = ±4
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59
Mathematics Hard Uploaded: 21 Jun 2026

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

  • A5
  • B8
  • C11
  • D14
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60
Mathematics Medium Uploaded: 21 Jun 2026

What is the value of i² where i is the imaginary unit?

  • A1
  • B-1
  • Ci
  • D-i
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