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Is |x| = 4?

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ha15
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Is |x| = 4? [#permalink] New post   Updated on: 25 Jun 2016, 23:55
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A
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E

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25% (medium)

Question Stats:

71% (00:55) correct 29% (00:55) wrong based on 234 sessions
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Is |x| = 4?


(1) |11 + x| = 15
(2) 11 + |x| = 15

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Not sure why 1 isn't sufficient since it yields x=-4 and 4, so when plugged into |x| it checks out?
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B

Originally posted by ha15 on 25 Jun 2016, 13:42.
Last edited by Bunuel on 25 Jun 2016, 23:55, edited 1 time in total.
Renamed the topic, edited the question and moved to DS forum.
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AmoyV
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Re: Is |x| = 4? [#permalink] New post   25 Jun 2016, 18:59
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ha15 wrote:
Is |x|=4?
(1) |11+x|=15
(2) 11+|x|=15

Show Spoiler
B


Not sure why 1 isn't sufficient since it yields x=-4 and 4, so when plugged into |x| it checks out?


11+x=15 OR -11-x=15
x=4 OR x=-26
|x|=4 OR 26

Not Sufficient

P.s. Looks like a silly mistake. Everyone's been there.
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Madhavi1990
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Re: Is |x| = 4? [#permalink] New post   09 Jul 2017, 03:46
I'm still learning this, so the logic I applied:

1) x = 4 or - 26, but |x|(absolute distance from zero)) is 4 or 26. Insuff
2) x = 4 or -4, but |x| = 4 only (absolute distance from zero). Suff

I hit E initially thinking x gives us 4 different values, but when I re read, its asking |x|, the absolute distance. Hope this was helpful to anyone struggling with this
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Re: Is |x| = 4? [#permalink] New post   09 Jul 2017, 05:16
Is |x| = 4?


(1) |11 + x| = 15
(2) 11 + |x| = 15

Solution:

Statement 1: Either x=4 or x=-26. Insufficient

Statement 2: Its direct. Rearranging the equation, we get a ' Yes'. Sufficient.

Therefore the answer is Option B.
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BrentGMATPrepNow
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Re: Is |x| = 4? [#permalink] New post   09 Jul 2017, 05:28
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ha15 wrote:
Is |x| = 4?


(1) |11 + x| = 15
(2) 11 + |x| = 15



Target question: Is |x| = 4?

Statement 1: |11 + x| = 15
So, EITHER 11 + x = 15 OR 11 + x = -15
Case a: if 11 + x = 15, then x = 4. In this case, |x| = |4| = 4
Case b: if 11 + x = -15, then x = -26. In this case, |x| = |-26| = 26
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 11 + |x| = 15
Subtract 11 from both sides to get: |x| = 4
DONE!!!
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

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Re: Is |x| = 4? [#permalink] New post   22 Jun 2018, 08:42
Statement 1 is NS because x could take the value of 4 or -26.

Statement 2 is sufficient as it could be rephrased to what is asked in the stimulus.

Correct Answer is B
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Re: Is |x| = 4? [#permalink]
22 Jun 2018, 08:42
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Bunuel
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