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# which of the following must be true?

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Joined: 18 Apr 2015
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which of the following must be true? [#permalink]  24 Aug 2018, 15:27
Expert's post
00:00

Question Stats:

85% (00:21) correct 15% (00:35) wrong based on 40 sessions
If $$\frac{x+2}{y-3}=0$$, which of the following must be true?

(A) x = 2 and y = 3

(B) x= 2 and $$y \neq 3$$

(C) x = 0 and y = 0

(D) x = -2 and y = 3

(E) x = -2 and $$y \neq 3$$
[Reveal] Spoiler: OA

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GRE Instructor
Joined: 10 Apr 2015
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Re: which of the following must be true? [#permalink]  25 Aug 2018, 07:47
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Expert's post
Carcass wrote:
If $$\frac{x+2}{y-3}=0$$, which of the following must be true?

(A) x = 2 and y = 3

(B) x= 2 and $$y \neq 3$$

(C) x = 0 and y = 0

(D) x = -2 and y = 3

(E) x = -2 and $$y \neq 3$$

In order for (x+2)/(y-3) = 0, it must be the case that the numerator, x+2, is equal to zero.
If x + 2 = 0, then x = -2

We can ELIMINATE A, B and C, but are still left with D and E

IMPORTANT: 0/0 does NOT equal zero.

This means, for (x+2)/(y-3) to equal 0, the denominator CANNOT equal 0
In other words, y-3 CANNOT equal 0
So, y CANNOT equal 3

Cheers,
Brent
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Re: which of the following must be true?   [#permalink] 25 Aug 2018, 07:47
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