CA Foundation · Quantitative Aptitude · Sets, Relations and Functions, Limits and Continuity
If A = {x : x is an integer and −2 ≤ x < 3}, what is the cardinality of the power set of A?
The set contains the integers −2, −1, 0, 1 and 2, so it has 5 elements. The power set has 2 raised to 5, which is 32 elements. Including 3 would wrongly give 64.
- A16
- B25
- C32Correct
- D64
Explanation
A = {−2, −1, 0, 1, 2}, which has 5 elements. The power set has 2^5 = 32 elements. Option 64 results from wrongly including 3, and 16 from omitting one element.
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