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B
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Difficulty:
35%
(medium)
Question Stats:
67% (01:15) correct
33%
(01:12)
wrong
based on 1504
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If \(\sqrt{n}\) is a positive integer, what is the value of n?
(1) \(1 < \sqrt{n} < 5\)
(2) 10 < n < 24
(1) \(1 < \sqrt{n} < 5\)
(2) 10 < n < 24
09 Oct 2013, 04:56
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If \(\sqrt{n}\) is a positive integer, what is the value of n?
\(\sqrt{n}=integer\) means that n is a perfect square.
(1) \(1 < \sqrt{n} < 5\) --> \(\sqrt{n}\) is 2, 3, or 4. Thus n can be 4, 9, or 16. Not sufficient.
(2) 10 < n < 24. There is only one perfect square in this range, thus n=16. Sufficient.
Answer: B.
\(\sqrt{n}=integer\) means that n is a perfect square.
(1) \(1 < \sqrt{n} < 5\) --> \(\sqrt{n}\) is 2, 3, or 4. Thus n can be 4, 9, or 16. Not sufficient.
(2) 10 < n < 24. There is only one perfect square in this range, thus n=16. Sufficient.
Answer: B.
General Discussion
09 Apr 2016, 05:59
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gayathri
If \(\sqrt{n}\) is a positive integer, what is the value of n?
(1) \(1 < \sqrt{n} < 5\)
(2) 10 < n < 24
(1) \(1 < \sqrt{n} < 5\)
(2) 10 < n < 24
if sqrtN is a POSITIVE INTEGER. so n is a perfect square.
stmt1:
1 < sqrtN < 5
as sqrtN is int so only possible value in this range are 2,3,4. hence N could be 4,9, or 16. Insuff.
stmt:2
10 < n < 24
n should be a perfect square. only 16 is such a number. suff
B is the correct answer.
