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# Does x = 3?

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Math Expert
Joined: 02 Sep 2009
Posts: 58427

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02 Sep 2016, 06:00
00:00

Difficulty:

45% (medium)

Question Stats:

54% (00:51) correct 46% (01:15) wrong based on 111 sessions

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Does x = 3?

(1) $$(x-3)(y-1)=0$$

(2) $$(x-3)^2+(y-1)^2=0$$

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Joined: 03 Jul 2016
Posts: 68
Re: Does x = 3?  [#permalink]

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02 Sep 2016, 06:09
Statement 1: (x-3) (y-1) =0 => x can be 3 or y can be 1. NOT SUFFICIENT.

Statement 2: (x-3)^2+ (y-1)^2 =0. This can be 0 only if both x =3 and y=1. SUFFICIENT.

B
Intern
Joined: 10 Nov 2014
Posts: 7
Re: Does x = 3?  [#permalink]

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02 Sep 2016, 06:50
Does X = 3 ?

A: (x-3)(y-1) = 0.

This is will be true when x = 3 or y = 1 or x=3 and y=1.

So, we cannot be sure if x= 3 is always true . A is INSUFFICIENT

B: (x-3)^2 + (y-1)^2 = 0

A square is always positive. So, (x-3)^2 and (y-1)^2 is always positive.

So, B to be ZERO, both (x-3)^2 and (y-1)^2 should be ZERO.

so, x = 3. B is SUFFICIENT.
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Re: Does x = 3?  [#permalink]

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31 Jan 2019, 11:21
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Re: Does x = 3?   [#permalink] 31 Jan 2019, 11:21
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