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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.

(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.

(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.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________

Re: If a < x < b and c < y < d, is x < y ? [#permalink]

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06 May 2016, 00:14

from stat 1 - a < c assigning a, b, c , d few numbers would give us easy approach a=2 , b = 4 , c= 3 (a<c) , d = 5 now 2<x<4 and 3<y<5 for x = 3.9 and y = 3.1 Stat 1 insufficient

from this we can say if c would be greater than b then x would be definitely less then y say b = 4 and c = 5 . stat 2 is sufficient alone. correct - B

We are given that a < x < b, and that c < y < d. We must determine whether x < y.

Statement One Alone:

a < c

From the information in statement one we know that a (the smallest value in the inequality a < x < b) is less than c (the smallest value in the inequality c < y < d). However, that information still does not allow us to determine whether x is less than y.

For example, let a = 1, c = 2, x = 2, and y = 3. In this scenario x is less than y.

However, if a = 1, c = 2, x = 4, and y = 3, then x is greater than y.

Statement one is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

b < c

Using the information in statement two we know that b (the largest value in the inequality a < x < b) is less than c (the smallest value in the inequality c < y < d). Thus we know that x must be less than y. To support this conclusion we can use a few convenient numbers.

Let’s say b = 5 and c = 6. Thus we can say:

a < x < 5 and 6 < y < d

We see that x must be less than 5 and y must be greater than 6. Once again, this tells us that x must be less than y. Statement two is sufficient to answer the question.

The answer is B.
_________________

Jeffrey Miller Jeffrey Miller Head of GMAT Instruction

Re: If a < x < b and c < y < d, is x < y ? [#permalink]

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30 Jun 2016, 04:22

(1) is insufficient obviously.

(2) says b < c. So then, if we combine both inequalities given in the question, we have: a < x < b < c < y < d. So, we know that x < y. So, sufficient.

Hence B.

gmatclubot

Re: If a < x < b and c < y < d, is x < y ?
[#permalink]
30 Jun 2016, 04:22

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