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

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If a, b, c, and d are positive integers, is (a/b) (c/d) > [#permalink]

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09 Nov 2008, 19:50
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.
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Re: a b c d --28 [#permalink]

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09 Nov 2008, 20:28
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
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Re: a b c d --28 [#permalink]

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09 Nov 2008, 22:28
$$(a/b)(c/d) > c/b$$
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.
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Re: a b c d --28 [#permalink]

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09 Nov 2008, 23:07
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
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Re: a b c d --28 [#permalink]

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10 Nov 2008, 10:54
[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, 10:54
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