zoom612 wrote:

Is sqrt{ (X- 3)^2 } = 3-X ?

1) X is not equal to 3

2) -X|X| =0

(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

My doubt:

Statement 1 should be sufficient on it's own since sqrt{ (X- 3)^2 } = 3-X

only when X =3.

I am not clear on this. I think the answer is D

It is a yes/no question.

from stem the question is x-3 = 3-x?

From (1) since x!=3 we can answer a definite no the above question. Whether 3 is negative or positive or 0, as long it is not 3, the LHS will be -1 times RHS. So, SUFF

From (2) x=0. So the question turns out to is -3=3 and again the answer is no in this case. So, SUFF.

Hence the answer is D.

Where am I going wrong here. Can anyone please explain?

Thanks.