Algebra

Ladakh Police Constable · Mathematics · 47 practice questions with answers and explanations: 21 Easy, 26 Medium, 0 Hard.

Sample questions

Sample Easy question 1

If x/y = 3/4 and x + y = 21, find x.

  1. 15
  2. 9
  3. 6
  4. 12
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Answer: B. Let x=3k, y=4k; 7k=21 gives k=3, so x=9.

Sample Easy question 2

Solve for x: 3x - 7 = 11.

  1. 6
  2. 8
  3. 7
  4. 5
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Answer: A. 3x = 18, so x = 6.

Sample Easy question 3

Solve for x: 2(x + 3) = 16.

  1. 4
  2. 6
  3. 5
  4. 7
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Answer: C. 2x + 6 = 16, so 2x = 10, x = 5.

Sample Medium question 4

Simplify (a+b)² - (a-b)² for a = 5 and b = 2.

  1. 45
  2. 40
  3. 35
  4. 30
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Answer: B. (a+b)² - (a-b)² = 4ab = 4 × 5 × 2 = 40.

Sample Medium question 5

If p + q = 7 and p² + q² = 25, find pq.

  1. 12
  2. 13
  3. 11
  4. 10
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Answer: A. (p+q)² = p² + q² + 2pq, so 49 = 25 + 2pq, giving pq = 12.

Sample Medium question 6

If x + y = 15 and x - y = 5, find the value of x.

  1. 10
  2. 11
  3. 8
  4. 9
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Answer: A. Adding the equations: 2x = 20, so x = 10.

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