Algebra

SSC CGL · Quantitative Aptitude · 47 practice questions with answers and explanations: 11 Easy, 19 Medium, 17 Hard.

Sample questions

Sample Easy question 1

The sum of three consecutive integers is 51. Find the smallest one.

  1. 15
  2. 16
  3. 17
  4. 18
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Answer: B. Let the integers be n, n+1, n+2. Then 3n + 3 = 51, so n = 16.

Sample Medium question 2

A father is 4 times as old as his son. In 5 years, the father will be 3 times as old as his son. Find the son's current age.

  1. 8
  2. 9
  3. 10
  4. 12
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Answer: C. Let son = x, father = 4x. Then 4x + 5 = 3(x + 5), giving x = 10.

Sample Hard question 3

If x + 1/x = 3, find the value of x² + 1/x².

  1. 5
  2. 6
  3. 7
  4. 9
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Answer: C. x² + 1/x² = (x + 1/x)² - 2 = 9 - 2 = 7.

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