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a, b, c are integers. Is their product abc equal to 0? 1. [#permalink]

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25 Sep 2007, 07:17

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A

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C

D

E

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a, b, c are integers. Is their product abc equal to 0?

1. a^2 = 2a

2. b/c = [(a+b)^2/(a^2 + 2ab + b^2)] - 1

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.

a, b, c are integers. Is their product abc equal to 0?

1. a^2 = 2a

2. b/c = [(a+b)^2/(a^2 + 2ab + b^2)] - 1

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.

Hi,

Statement 1 alone is not sufficient because (a) could be equal to zero or not. We also do not know about (b) and (c).

In statement 2 note that (a^2 + 2ab + b^2) = (a+b)^2
which makes [(a+b)^2/(a^2 + 2ab + b^2)] - 1 = 1 - 1 = 0
so we know now that b/c = 0. Since a,b,c are integers we conclude that b=0.

a, b, c are integers. Is their product abc equal to 0?

1. a^2 = 2a

2. b/c = [(a+b)^2/(a^2 + 2ab + b^2)] - 1

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.

I could not figure out anything to make the answer E. it is B.

a, b, c are integers. Is their product abc equal to 0?

1. a^2 = 2a

2. b/c = [(a+b)^2/(a^2 + 2ab + b^2)] - 1

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.

a, b, c are integers. Is their product abc equal to 0?

1. a^2 = 2a

2. b/c = [(a+b)^2/(a^2 + 2ab + b^2)] - 1

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.

It's E
1) a=0 or a=2 => insufficient
2) b/c=0 (or b=0) only if (a+b) does not equal to 0 (a does not equal to -b), since we know nothing about a => insufficient
1&2) if a=0 and b=0 we forbid the statement that a should not equal to -b
so insufficient