Question

If the number of elements in the power set of set A are odd, them the number of elements in the set A are

• A. 1
• B. 3
• C. 5
• D. None of these

Answer 1

The correct option is D None of these

If a set contains n elements, then its power set will have $2^n$ elements.
Power set of a set has odd no of elements $\Rightarrow 2^n$ is odd,
Which is possible only when n = 0
So, n = 0
Therefore set A contains no element.