MCQ practice · SSC General Mathematics Board questions · Chapter 2: Sets and Functions
The power set of a set has 128 elements. How many elements does the set have?
Think it through first, then pick an option.
- a 0
- b 6
- c 7
- d 8
Answer and explanation
Correct answer: c 7
2⁷ = 128, so the set has 7 elements.
Why the other options are wrong
- a 0: With 0 elements the power set has 2⁰ = 1 element.
- b 6: 2⁶ = 64, which is half of 128; one more power is needed, 2⁷, to reach 128.
- d 8: 2⁸ = 256, which is double 128; one power fewer, 2⁷, gives exactly 128.
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