Linear Equations

JKSSB Panchayat Account Assistant · Mathematics/Statistics · 15 practice questions with answers and explanations: 4 Easy, 6 Medium, 5 Hard.

Sample questions

Sample Easy question 1

Solve the system x + y = 10, x - y = 2. Find x.

  1. 8
  2. 5
  3. 7
  4. 6
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Answer: D. Adding both equations: 2x = 12, so x = 6.

Sample Medium question 2

If x/2 + y/3 = 4 and x − y = 3, find x + y.

  1. 8
  2. 9
  3. 10
  4. 12
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Answer: B. Multiply the first by 6: 3x + 2y = 24. With x = y + 3: 5y + 9 = 24 → y = 3, x = 6, so x + y = 9.

Sample Hard question 3

If 3x - 2y = 5 and x + y = 5, find x.

  1. 5
  2. 4
  3. 3
  4. 2
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Answer: C. From x + y = 5, y = 5 - x. Substituting: 3x - 2(5-x) = 5, giving 5x = 15, so x = 3.

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