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Is x greater than y?

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Is x greater than y? [#permalink]  23 Jul 2013, 02:55
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Question Stats:

57% (01:53) correct 43% (00:59) wrong based on 69 sessions
Is x greater than y?

(1) x>2y
(2) x-y>0

[Reveal] Spoiler:
it is data sufficiency test, and i my answer is D but the answer says its B. anyone has any idea why?
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Jul 2013, 06:27, edited 1 time in total.
Renamed the topic and edited the question.
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Re: inequalities; data sufficiency [#permalink]  23 Jul 2013, 03:34
sudeepnkafle wrote:
is x greater than y?
(1). x>2y
(2). x-y>0

it is data sufficiency test, and i my answer is D but the answer says its B. anyone has any idea why?

statement 1:
$$x>2y$$
case 1:
let say $$x = 3$$
$$y= 1$$
clearly $$x > y and x > 2y$$
case 2:
let say$$x = -3 and y=-2$$
here $$x>2y$$...but $$x<y$$
hence this makes this option wrong.

statement 2:
$$x-y>0$$
clearly $$x>y$$===>suffocient.

hence B
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Re: inequalities; data sufficiency [#permalink]  23 Jul 2013, 04:39
Expert's post
sudeepnkafle wrote:
is x greater than y?
(1). x>2y
(2). x-y>0

it is data sufficiency test, and i my answer is D but the answer says its B. anyone has any idea why?

From F.S 1, we know that x>2y.

Now, if y>0, then we can plot the above as this on the number line : -----y -----2y------x----

Thus, x>y. However, if y<0, then ------2y---x--y------- or -----2y-----y------x---

Thus, Insufficient.

From F.S 2, we know that x>y as it is given in the statement. Sufficient.

B.
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Re: inequalities; data sufficiency   [#permalink] 23 Jul 2013, 04:39
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