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If x is an integer, what is the value of x? (3) [#permalink]
17 May 2011, 12:00

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Difficulty:

(N/A)

Question Stats:

62% (01:34) correct
38% (01:02) wrong based on 31 sessions

If √x is an integer, what is the value of √x? (3) 11<x<17 (4) 2<√x<5 ________________________________________________________________ A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

Re: DS - Value of SqRt x [#permalink]
17 May 2011, 12:12

IEsailor wrote:

If √x is an integer, what is the value of √x? (1) 11<x<17 (2) 2<√x<5 ________________________________________________________________ A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient.

\(\sqrt{x}\) is an integer means x is also an integer. (1) 11<x<17 x can be 12,13,14,15,16. But, only 16 will incur an integral root. Thus; x=16 and \(\sqrt{x}=4\) Sufficient.

(2) 2<\(\sqrt{x}\)<5 \(\sqrt{x}\) can be either 3 or 4. Not Sufficient.

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