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Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: If a < x < b and c < y < d, is x < y ? [#permalink]
24 Sep 2012, 04:19

Expert's post

SOLUTION

If a < x < b and c < y < d, is x < y ?

(1) a < c. From this statement we cannot determine whether \(x < y\). For example, consider that \(a\) and \(c\) are some negative numbers and \(x\) and \(y\) are some positive numbers, we can have that \(x<y\) as well as \(y<x\). Not sufficient.

(2) b < c. Since, \(b<c\), then \(a < x < b<c < y < d\) --> \(x<y\). Sufficient.

Re: If a < x < b and c < y < d, is x < y ? [#permalink]
28 Sep 2012, 04:38

Expert's post

SOLUTION

If a < x < b and c < y < d, is x < y ?

(1) a < c. From this statement we cannot determine whether \(x < y\). For example, consider that \(a\) and \(c\) are some negative numbers and \(x\) and \(y\) are some positive numbers, we can have that \(x<y\) as well as \(y<x\). Not sufficient.

(2) b < c. Since, \(b<c\), then \(a < x < b<c < y < d\) --> \(x<y\). Sufficient.

Answer: B.

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