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Inequality question

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by vinni.k » Thu Jul 21, 2011 10:10 am
Inequality question. I was not able to solve this question. My attempt got me D as the answer, but it is incorrect.

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

(1) a < c
(2) b < c

Answer is B


Thanks & Regards
Vinni
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Source: — Data Sufficiency |
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by GAMATO » Thu Jul 21, 2011 11:21 am
Given: a < x < b and c < y < d

(1) a < c
y must be greater than a but may or may not be greater than x. You can use a number line to prove this.

(2) b < c
So, a < x < b < c < y < d.
Clearly, x < y.

Answer is B.
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by Anurag@Gurome » Thu Jul 21, 2011 11:28 pm
vinni.k wrote:Inequality question. I was not able to solve this question. My attempt got me D as the answer, but it is incorrect.

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

(1) a < c
(2) b < c

Answer is B


Thanks & Regards
Vinni
-----a---x----b----c----y-----d----

(1) a < c; following are possibilities:

-----a----c----y---x----b-----d---

-----a----c----x---y----b-----d---

Since we don't get a definite answer; NOT sufficient.

(2) b < c, the only possibility is -----a---x----b----c----y-----d----, which implies x < y holds true; SUFFICIENT.

The correct answer is B.
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by vinni.k » Mon Jul 25, 2011 7:15 am
Anurag@Gurome wrote:
-----a---x----b----c----y-----d----

(1) a < c; following are possibilities:

-----a----c----y---x----b-----d---

-----a----c----x---y----b-----d---

Since we don't get a definite answer; NOT sufficient.

(2) b < c, the only possibility is -----a---x----b----c----y-----d----, which implies x < y holds true; SUFFICIENT.

The correct answer is B.
oops i am really sorry as i could not respond to your reply, Anurag. My internet was not working from last 3 days. I live in a remote area and internet issues are enormous here.

But thanks my doubt is clear.

Thanks & Regards
Vinni
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by breakkgmat » Tue Jul 26, 2011 2:17 pm
Statement 1 is not sufficient..It says, a<c. let a =2.. so, 2<4<5 & 3(c)<5<8.So,X<Y..right? but look, as a<c. X could be any larger value than 2.Like, 2<15<18..& 3(c)<5<8..Here X > Y..Mixed answer..Not sufficient..

OA B
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by edvhou812 » Sat Aug 06, 2011 9:12 pm
1) a<c, so y>a. We now know that both y and x are greater than 'a', but we don't know the relation between y and x. (Insufficient)

2) b<c. x<b<c<y. Break out the b and c, and you are left with x<y. (Sufficient)

Answer: B
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