Is \(w\) an integer? (A) \(3w\) is an odd number. (B) \(2w\) is an even number.

if the Statement 'A' alone is sufficient to answer the question but the Statement 'B' alone is not sufficient
if the Statement 'B' alone is sufficient to answer the question but the Statement 'A' alone is not sufficient
if both Statement 'A' and 'B' together are needed to answer the question
if either the Statement 'A' alone or Statement 'B' alone is sufficient

Correct answer: if the Statement 'A' alone is sufficient to answer the question but the Statement 'B' alone is not sufficient

Solution

From (A), if 3w is odd, then w must be an odd integer, so A alone is sufficient. From (B), 2w being even does not ensure w is an integer, since non-integers can also satisfy it in some contexts; thus B alone is not sufficient.

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