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Question

A set X has 5 elements; find the number of proper subsets of X.

This question was previously asked in
RRB Technician 2026 Grade 3 Question Paper (7-Oct-2026) (Shift 3)
The correct answer is

31

A set with n elements has \(2^n\) subsets.

For n = 5, the number of subsets is \(2^5 = 32\).

A proper subset is any subset other than the set itself, so we remove one subset: \(2^5 - 1 = 32 - 1 = 31\).

Hence, the answer is 31.

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