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If (x - 1)(x - 2) = 0, x = ?

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Joined: 19 Jan 2017
Posts: 28
If (x - 1)(x - 2) = 0, x = ?  [#permalink]

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12 Feb 2017, 23:43
00:00

Difficulty:

25% (medium)

Question Stats:

88% (00:28) correct 13% (00:34) wrong based on 19 sessions

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If (x - 1)(x - 2) = 0, x = ?

(1) x is even
(2) x is odd

I have started preparing for GMAT recently and well I have got lots of questions that may seem(or is) stupid. I was studying DS with math revolution free trial and as they say that there has to be only one answer that is unique. And they had this example:
and there answer was D (each statement alone is sufficient). Shouldnt it be E cause we still dont know the value of x?
Attachment:

.png [ 277.28 KiB | Viewed 728 times ]
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Joined: 18 Sep 2014
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Location: India
Re: If (x - 1)(x - 2) = 0, x = ?  [#permalink]

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13 Feb 2017, 00:51
1
Top Contributor
kuralaysn wrote:
If $$(x-1)(x-2)=0$$,$$x=?$$
1) $$x$$ is even
2) $$x$$ is odd

I have started preparing for GMAT recently and well I have got lots of questions that may seem(or is) stupid.

I was studying DS with math revolution free trial and as they say that there has to be only one answer that is unique..................yes that is perfectly correct.

and there answer was D (each statement alone is sufficient). Shouldnt it be E cause we still dont know the value of x?..........NO

If you observe the solution in the pic you have uploaded , you can see that X can be either 1 or 2. So at this stage we can decide its value.

But while solving for options, we have to solve each option individually without considering other option.
For example, while you are evaluating statement 1, you have to consider x is even but nothing else. So you get value of x as 2. that's it.

And then you move on to statement 2, forgetting all the information of statement 1 and only consider that x is odd and is 1.

the information given in main question is common to all the statements.(1&2)

i hope this helps.
You will get accustomed with the DS as you practice more.
Current Student
Joined: 27 May 2014
Posts: 524
GMAT 1: 730 Q49 V41
Re: If (x - 1)(x - 2) = 0, x = ?  [#permalink]

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13 Feb 2017, 00:59
1
Given, (x-2)(x-1) = 0;
for the above equation to be true, either:
(x-2) = 0
=>x = 2
or:
(x-1) = 0
=>x = 1

Now,
(1) x is even;
So, we can clearly say x = 2 from the above roots; Hence Sufficient.

Again,
(2) x is odd;
So, we can clearly say x = 1 from the above roots; Hence Sufficient.

Cheers.
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Posts: 52392
Re: If (x - 1)(x - 2) = 0, x = ?  [#permalink]

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13 Feb 2017, 01:23
kuralaysn wrote:
If (x - 1)(x - 2) = 0, x = ?

(1) x is even
(2) x is odd

I have started preparing for GMAT recently and well I have got lots of questions that may seem(or is) stupid. I was studying DS with math revolution free trial and as they say that there has to be only one answer that is unique. And they had this example:
and there answer was D (each statement alone is sufficient). Shouldnt it be E cause we still dont know the value of x?
Attachment:
.png

This is a flawed question. On the GMAT, two data sufficiency statements always provide TRUE information and these statements NEVER contradict each other or the stem.

(1) says that x is even, while (2) says that x is odd The statement clearly contradict each other, which cannot happen.

Having said that, technically each statement is sufficient alone - from (1) x = 2 and from (2) x = 1. Again the statement cannot give contradictory answers.

You can ignore this question and move on.
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Re: If (x - 1)(x - 2) = 0, x = ? &nbs [#permalink] 13 Feb 2017, 01:23
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