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CA Foundation · Quantitative Aptitude · Sets, Relations and Functions, Limits and Continuity

Which of the following is the set-builder form of the set A = {2, 4, 6, 8, 10}?

The set {2, 4, 6, 8, 10} is written as {x : x is an even natural number, x ≤ 10}. It must include 10, exclude odd numbers, and exclude zero and negative even integers, which only the first description achieves.

  1. A{x : x is an even natural number, x ≤ 10}Correct
  2. B{x : x is an even natural number, x < 10}
  3. C{x : x is a natural number, x ≤ 10}
  4. D{x : x is an even integer, x ≤ 10}

Explanation

The set contains all even natural numbers from 2 to 10 inclusive, so 'x ≤ 10' is needed. Option 2 omits 10. Option 3 includes odd numbers. Option 4 includes 0 and negative even integers.

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