Note that √n is a positive integer and n is not necessarily an integer; it is a real number.AAPL wrote:GMAT Paper Tests
If \(\sqrt{n}\) is a positive integer, what is the value of \(n\)?
1) \( 1 < \sqrt{n} < 5 \)
2) \( 10 < n < 24 \)
OA B
Let's take each statement one by one.
1) \( 1 < \sqrt{n} < 5 \)
\sqrt{n} can be 2/3/4; thus, n is 4/9/25. No unique value of n. Insufficient.
2) \( 10 < n < 24 \)
=> \( √10 < √n < √24 \)
\( 3... < √n < 4... \)
The only possible value of √n = 4, thus, n = 4^2 = 16. Sufficient.
The correct answer: B
Hope this helps!
-Jay
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