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If a, b, c, and d are positive integers, is (a/b) (c/d) >

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Manager
Joined: 10 Oct 2008
Posts: 56
If a, b, c, and d are positive integers, is (a/b) (c/d) > [#permalink]

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09 Nov 2008, 20:50
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

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.
Intern
Joined: 07 Nov 2008
Posts: 32
Re: a b c d --28 [#permalink]

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09 Nov 2008, 21:28
Jcpenny wrote:
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

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.

(a/b) (c/d) > c/b ---> ac/db > c/b ---> a > d

B
SVP
Joined: 17 Jun 2008
Posts: 1547
Re: a b c d --28 [#permalink]

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09 Nov 2008, 23:28
$$(a/b)(c/d) > c/b$$
or, $$c/b(a/d-1) > 0$$
and since a,b,c,d are positive integers,
$$a/d>1$$
or, $$a>d$$

Hence, B is sufficient.
Director
Joined: 14 Aug 2007
Posts: 727
Re: a b c d --28 [#permalink]

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10 Nov 2008, 00:07
abc - bdc > 0
bc (a-d) > 0
b & c being positive , ensuring that a-d>0 is required

B tells us that precisely.

Hence B
SVP
Joined: 05 Jul 2006
Posts: 1747
Re: a b c d --28 [#permalink]

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10 Nov 2008, 11:54
[quote="Jcpenny"]If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

ac/bd > c/b

ac/bd - dc/ bd> 0

is c(a-d)/bd> 0 fo this to be +ve a has to be > d

from one

insuff

from 2 suff......B
Re: a b c d --28   [#permalink] 10 Nov 2008, 11:54
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