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Is u>w? 1) u=∣w∣ 2) w=∣u∣

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Math Revolution GMAT Instructor
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Is u>w? 1) u=∣w∣ 2) w=∣u∣  [#permalink]

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24 Jul 2017, 01:02
00:00

Difficulty:

65% (hard)

Question Stats:

43% (01:26) correct 58% (01:06) wrong based on 77 sessions

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Is u>w?

1) u=∣w∣
2) w=∣u∣

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Re: Is u>w? 1) u=∣w∣ 2) w=∣u∣  [#permalink]

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24 Jul 2017, 05:42
MathRevolution wrote:
Is u>w?

1) u=∣w∣
2) w=∣u∣

Hi..
We are looking for is u>W...

Let's see the statements..
1) u=|W|
U is POSITIVE..
But if W is positive, ans is YES
If W is NEGATIVE, ans is NO
Insufficient

2) W=|u|
This tells us W is positive..
If u is positive, ans is NO
If u is NEGATIVE, ans is Again NO
Sufficient

B
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Re: Is u>w? 1) u=∣w∣ 2) w=∣u∣  [#permalink]

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24 Jul 2017, 12:10
Good question with a usual trap.
(2) w=|u| which means u is either equal to w or, if it is negative, it is smaller than u. So, (2) is sufficient to answer the question.
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Re: Is u>w? 1) u=∣w∣ 2) w=∣u∣  [#permalink]

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24 Jul 2017, 20:57
Great question...just have one query tho
Statement 2 gives us yes and no both right? Or not? Can someone explain please? Thank u..

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Re: Is u>w? 1) u=∣w∣ 2) w=∣u∣  [#permalink]

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24 Jul 2017, 22:22
pritha.k wrote:
Great question...just have one query tho
Statement 2 gives us yes and no both right? Or not? Can someone explain please? Thank u..

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Specifically for statement 2, where we are given w=|u|
There are two cases.
Case 1: w = -u or u is negative and w positive
Here, u>w is false
Case 2: w = u, so u and w are both positive
Here u>w is false, because they are equal.

Hence, this statement alone is sufficient. Hope that helps
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Re: Is u>w? 1) u=∣w∣ 2) w=∣u∣  [#permalink]

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25 Jul 2017, 01:35
Oh right...yes ..thank u!!

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Re: Is u>w? 1) u=∣w∣ 2) w=∣u∣  [#permalink]

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26 Jul 2017, 01:08
==> For con 2), w=|u|≥u for all u is established, so you get w≥ur, which is always no and sufficient.

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Re: Is u>w? 1) u=∣w∣ 2) w=∣u∣   [#permalink] 26 Jul 2017, 01:08
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