If a, b, c, and d are positive integers, is (a/b) (c/d) > : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 19 Feb 2017, 08:05

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

Author Message
Manager
Joined: 10 Oct 2008
Posts: 56
Followers: 1

Kudos [?]: 47 [0], given: 0

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

### Show Tags

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.
Intern
Joined: 07 Nov 2008
Posts: 32
Followers: 0

Kudos [?]: 13 [0], given: 0

Re: a b c d --28 [#permalink]

### Show Tags

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
SVP
Joined: 17 Jun 2008
Posts: 1569
Followers: 11

Kudos [?]: 251 [0], given: 0

Re: a b c d --28 [#permalink]

### Show Tags

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.
Director
Joined: 14 Aug 2007
Posts: 733
Followers: 10

Kudos [?]: 184 [0], given: 0

Re: a b c d --28 [#permalink]

### Show Tags

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
SVP
Joined: 05 Jul 2006
Posts: 1744
Followers: 6

Kudos [?]: 326 [0], given: 49

Re: a b c d --28 [#permalink]

### Show Tags

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
Display posts from previous: Sort by