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Is x the square of an integer? (1) x = 12k + 6, where k is a [#permalink]

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14 Jul 2003, 10:42

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

50% (00:00) correct
50% (01:39) wrong based on 5 sessions

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Is x the square of an integer?

(1) x = 12k + 6, where k is a positive integer

(2) x = 3q + 9, where q is a positive integer

(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.
_________________

Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993

1). x= 6(2k+1), since k is interger, then 2k+1 must be odd, then it is not possible to provide another 6, so A is sufficient to tell that x is not a perfect squre.

2) is not sufficient. since: x=3(q+3), if q equals to 9 and other numbers that provide a sum with 3 as an facter and another perfect square as another, then x is perfect squre, otherwise no.

1). x= 6(2k+1), since k is interger, then 2k+1 must be odd, then it is not possible to provide another 6, so A is sufficient to tell that x is not a perfect squre.

2) is not sufficient. since: x=3(q+3), if q equals to 9 and other numbers that provide a sum with 3 as an facter and another perfect square as another, then x is perfect squre, otherwise no.

Both the answer and method are correct. Good job.
_________________

Best,

AkamaiBrah Former Senior Instructor, Manhattan GMAT and VeritasPrep Vice President, Midtown NYC Investment Bank, Structured Finance IT MFE, Haas School of Business, UC Berkeley, Class of 2005 MBA, Anderson School of Management, UCLA, Class of 1993