Relations & Functions

JKSSB Finance Accounts Assistant · Mathematics · 15 practice questions with answers and explanations: 3 Easy, 6 Medium, 6 Hard.

Sample questions

Sample Easy question 1

Which of the following relations is NOT a function?

  1. {(1, 2), (2, 3), (3, 4)}
  2. {(1, 5), (2, 5), (3, 5)}
  3. {(1, 2), (1, 3), (2, 4)}
  4. {(0, 0), (1, 1), (2, 4)}
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Answer: C. In C, the input 1 is paired with two different outputs (2 and 3), so it is not a function. Different inputs may share an output, as in B.

Sample Medium question 2

If f(x) = 2x and g(x) = x², then (g∘f)(3) is:

  1. 18
  2. 12
  3. 9
  4. 36
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Answer: D. (g∘f)(3) = g(f(3)) = g(6) = 36. (f∘g)(3) would be 2 × 9 = 18.

Sample Hard question 3

The range of f(x) = x², where x is any real number, is:

  1. [0, ∞)
  2. All real numbers
  3. (0, ∞)
  4. (−∞, 0]
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Answer: A. Squares are never negative, and 0 is reached at x = 0, so the range is [0, ∞).

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