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

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Manager
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If a, b, c, and d are positive integers, is (a/b) (c/d) > [#permalink] New post 09 Nov 2008, 19:50
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] New post 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] New post 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] New post 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] New post 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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