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Is x > y?

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Manager
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Joined: 28 May 2009
Posts: 156
Location: United States
Concentration: Strategy, General Management
GMAT Date: 03-22-2013
GPA: 3.57
WE: Information Technology (Consulting)
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Is x > y? [#permalink]

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New post 11 Jan 2013, 19:57
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (02:01) correct 29% (01:15) wrong based on 55 sessions

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Is x > y?

(1) \(\frac{x}{2} = y-3\)

(2) \(y > 6\)

Source: Total GMAT
[Reveal] Spoiler: OA

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Re: Is x > y? [#permalink]

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New post 11 Jan 2013, 20:42
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x > y?

(1) \(\frac{x}{2} = y-3\)
\(x = 2y - 6\)
If x = 0 then y = 3. Thus x < y
If x = -2 then y = -4. Thus x > y
Hence INSUFFICIENT.

(2) \(y > 6\)
Clearly INSUFFICIENT.

Combine (1) & (2)
Substitute inequality from statement (1) x = 2y - 6 into the question
\(x>y?\)
i.e \(2y-6>y?\)
i.e. \(y > 6?\) YES, this is our statement(2).
- SUFFICIENT.

Hence choice(C) is the answer.
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Re: Is x > y? [#permalink]

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New post 22 Mar 2013, 06:36
PraPon wrote:
x > y?

(1) \(\frac{x}{2} = y-3\)
\(x = 2y - 6\)
If x = 0 then y = 3. Thus x < y
If x = -2 then y = -4. Thus x > y
Hence INSUFFICIENT

(2) \(y > 6\)
Clearly INSUFFICIENT

Combine (1) & (2)
Substitute inequality from statement (1) x = 2y - 6 into the question
\(x>y?\)
i.e \(2y-6>y?\)
i.e. \(y > 6?\) YES, this is our statement(2).
- SUFFICIENT.

Hence choice(C) is the answer.


small calc. mistake in the highlighted position I think. when x=-2 then y = 2 NOT -4 as you have mistakenly shown hence in this case too x<y

to show A is insuff. if we take y= 5 then we get x= 4 and y>x
if y=6 then we get x=6 here x=y if y =7 and x=8 here x>y

hence A is insuff.

B is insuff. because no info for x.

1+2 together

if y >6 then of course x>y
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- Stne

Re: Is x > y?   [#permalink] 22 Mar 2013, 06:36
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