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# If x, y and c are positive integers, is (x+c)/(y+c) >

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Current Student
Joined: 11 May 2008
Posts: 555

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If x, y and c are positive integers, is (x+c)/(y+c) > [#permalink]

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01 Aug 2008, 03:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

. If x, y and c are positive integers, is (x+c)/(y+c) > x/y?
(1) y>x
(2) c>y
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Kudos [?]: 222 [0], given: 0

SVP
Joined: 28 Dec 2005
Posts: 1545

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01 Aug 2008, 04:41
A for me as well. since all values are positive integers, its easy to pick numbers and see

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Director
Joined: 27 May 2008
Posts: 541

Kudos [?]: 363 [0], given: 0

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01 Aug 2008, 10:05
arjtryarjtry wrote:
. If x, y and c are positive integers, is (x+c)/(y+c) > x/y?
(1) y>x
(2) c>y
A. Statement (1) ALONE is sufficient but Statement (2) ALONE is not sufficient.
B. Statement (2) ALONE is sufficient but Statement (1) ALONE is not sufficient.
C. BOTH Statements TOGETHER are sufficient, but NEITHER Statement alone is sufficient.
D. Each Statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

simplfy the question

(x+c)/(y+c) > x/y
we can multiply both sides by y(y+c) as everything is +ve the inequality sign wont change
y(x+c) > x(y+c)
xy + yc > xy + xc
yc > xc
y > x ( c is +ve, we can cancel out)

statement 1 : Suff
statement 2 : doesnt tell anything about x. not suff

Option A.

Kudos [?]: 363 [0], given: 0

Re: which is greater   [#permalink] 01 Aug 2008, 10:05
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