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Is w less than y?

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Is w less than y?  [#permalink]

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New post Updated on: 24 Jan 2017, 21:33
00:00
A
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C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (01:02) correct 26% (00:39) wrong based on 83 sessions

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Is w less than y?

(1) \(1.3 < w < 1.3101\)
(2) \(1.3033 < y\)

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Originally posted by hazelnut on 24 Jan 2017, 17:12.
Last edited by Bunuel on 24 Jan 2017, 21:33, edited 1 time in total.
Added the OA.
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Re: Is w less than y?  [#permalink]

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New post 24 Jan 2017, 19:30
ziyuenlau wrote:
Is w less than y?

(1) \(1.3 < w < 1.3101\)
(2) \(1.3033 < y\)



(1) no info about y...insuff
(2) no info about w..insuff

Combining both
if w=y=1.3041 then NO
if w=1.3041 and y=1.3043 then YES
insuff

Ans E
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Re: Is w less than y?  [#permalink]

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New post 24 Jan 2017, 23:57
In order to answer the question, we must compare w and y.

(1) INSUFFICIENT: This provides no information about y.

(2) INSUFFICIENT: This provides no information about w.

(1) AND (2) INSUFFICIENT: Looking at both statements together, it is possible that w could be less than y. For example w could be 1.305 and y could be 100. It is also possible that w could be greater than y. For example, w could be 1.310 and y could be 1.305. Thus, it is not possible to determine definitively whether w is less than y.

The correct answer is E.
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Re: Is w less than y?  [#permalink]

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New post 25 Aug 2018, 05:36
Top Contributor
hazelnut wrote:
Is w less than y?

(1) \(1.3 < w < 1.3101\)
(2) \(1.3033 < y\)


Target question: Is w less than y?

Statement 1: 1.3 < w < 1.3101
Since we have no information about y, there's no way to determine whether w is less than y
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 1.3033 < y
Since we have no information about w, there's no way to determine whether w is less than y
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
There are several values of w and y that satisfy BOTH statements. Here are two:
Case a: w = 1.302 and y = 1.304. In this case, the answer to the target question is YES, w IS less than y
Case b: w = 1.31 and y = 1.304. In this case, the answer to the target question is NO, w is NOT less than y
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Re: Is w less than y? &nbs [#permalink] 25 Aug 2018, 05:36
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