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NDA 2021 Maths · Mathematics · Sets, Relations and Functions · easy

If A⊂ B, then A∪ B=B. 2. The power set of a set with 3 elements has 6 elements.

Single correct option

Which of the statements is/are correct? 1. If A⊂BA\subset B, then A∪B=BA\cup B=B. 2. The power set of a set with 33 elements has 66 elements.
  1. A. 1 only
  2. B. 2 only
  3. C. Both 1 and 2
  4. D. Neither 1 nor 2
Show answer and solution

Answer: (A) 1 only

If AA is a subset of BB, every element of AA is already in BB, so A∪B=BA\cup B=B and statement 1 is true. A set with nn elements has 2n2^n subsets, so a 3-element set has 88, not 66; statement 2 is false.
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Original question written in the NDA 2021 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake