It is currently 18 Nov 2017, 20:25

### 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
TAGS:

### Hide Tags

Manager
Joined: 16 Apr 2010
Posts: 213

Kudos [?]: 144 [0], given: 12

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

### Show Tags

02 Aug 2010, 00:01
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

79% (00:30) correct 21% (01:00) wrong based on 77 sessions

### HideShow timer Statistics

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

(1) c>b
(2) a>d
[Reveal] Spoiler: OA

Kudos [?]: 144 [0], given: 12

Intern
Joined: 06 Apr 2010
Posts: 22

Kudos [?]: 2 [1], given: 6

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

### Show Tags

02 Aug 2010, 00:34
1
KUDOS
Stmt 2 is sufficient as follows:

LHS and RHS can be rearranged into (a/d)(c/b) > (c/b)
As c and b are both positive (you don't need Stmt 1 for that), they can be cancelled out from both sides - which leaves us with a/d > 1 ??

Stmt 2 says exactly that. Hence sufficient.

Hope this helps.

Kudos [?]: 2 [1], given: 6

Intern
Joined: 03 Mar 2010
Posts: 40

Kudos [?]: 22 [3], given: 1

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

### Show Tags

02 Aug 2010, 01:51
3
KUDOS
$$(\frac{a}{b})(\frac{c}{d})=(\frac{a}{d})(\frac{c}{b})>(\frac{c}{b})$$
Since a, b, c, d are positive, so both sides can be divided by $$(\frac{c}{b})$$
$$\frac{(\frac{a}{d})(\frac{c}{b})}{(\frac{c}{b})}>\frac{(\frac{c}{b})}{(\frac{c}{b})}$$
or
$$\frac{a}{d}>1$$
or a>d

_________________

Hardworkingly, you like my post, so kudos me.

Kudos [?]: 22 [3], given: 1

Intern
Joined: 10 Apr 2008
Posts: 22

Kudos [?]: 5 [0], given: 4

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

### Show Tags

02 Aug 2010, 20:47
According to stmt2 (a/b) > 1.

So, a number greater than 1 multiplied with (c/b) will be greater than (c/b)

Kudos [?]: 5 [0], given: 4

Manager
Joined: 06 Apr 2010
Posts: 141

Kudos [?]: 955 [0], given: 15

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

### Show Tags

28 Aug 2010, 03:04
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

Kudos [?]: 955 [0], given: 15

Manager
Joined: 09 Jun 2010
Posts: 111

Kudos [?]: 151 [0], given: 1

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

### Show Tags

28 Aug 2010, 06:03
is (a/b) (c/d) > c/b ? simplify => a/d>1? => is a>d?

(2) a > d

"B" it is

Kudos [?]: 151 [0], given: 1

Senior Manager
Joined: 14 Jun 2010
Posts: 299

Kudos [?]: 25 [0], given: 7

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

### Show Tags

28 Aug 2010, 22:38
Got trapped...Good one Soumanag!!

Kudos [?]: 25 [0], given: 7

Manager
Joined: 16 Feb 2010
Posts: 218

Kudos [?]: 378 [0], given: 16

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

### Show Tags

29 Aug 2010, 18:25
udaymathapati wrote:
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

$$\frac{a}{b}*\frac{c}{d}>\frac{c}{b}$$

simplify

$$\frac{a}{d}>1$$

$$a>d$$ ?

therefore B is enough, A is irrelevant

Kudos [?]: 378 [0], given: 16

Retired Moderator
Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 442 [0], given: 49

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

### Show Tags

30 Aug 2010, 03:59
The key here is in the given ( a,b,c,d) are +ve if this wasn't stated then we can't multiply or simplify

Kudos [?]: 442 [0], given: 49

Manager
Joined: 07 Feb 2010
Posts: 155

Kudos [?]: 767 [0], given: 101

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

### Show Tags

30 Aug 2010, 08:06
If a, b, c, and d are positive integers, is (a/b) (c/d) > c/b?
(1) c > b
(2) a > d

change the question it becomes a > d

Kudos [?]: 767 [0], given: 101

Non-Human User
Joined: 09 Sep 2013
Posts: 15704

Kudos [?]: 282 [0], given: 0

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

### Show Tags

04 May 2016, 14:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 282 [0], given: 0

Director
Joined: 04 Jun 2016
Posts: 647

Kudos [?]: 376 [0], given: 36

GMAT 1: 750 Q49 V43
If a,b,c and d are positive integers, is (a/b) (c/d) > [#permalink]

### Show Tags

18 Jul 2016, 00:53
jakolik wrote:
If a,b,c and d are positive integers, is (a/b)(c/d) > c/b?

(1) c>b
(2) a>d

Given that a,b,c,d, are all positives; so we can take a deep breath of relief and carry on with this question because now we can apply any operation on the inequality without worrying about the sign reversal and other such restrictions
(1) c>b
(2) a>d

Simplify the original equation and see what the question stem reduces to :-
$$\frac{a}{b} * \frac{c}{d} >\frac{c}{b}$$

$$\frac{ac}{bd}>\frac{c}{d}$$ {$$\frac{c}{b}$$will get cancelled on both the LHS & RHS}

$$\frac{a}{d}>1$$

$$a>d$$

SO THE REAL QUESTION IS :- IS $$a>d$$

(1) c>b
Doesn't tell about a and b ; INSUFFICIENT

(2) a>d
Tells us that a is always greater than d
SUFFICIENT

_________________

Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly.
FINAL GOODBYE :- 17th SEPTEMBER 2016. .. 16 March 2017 - I am back but for all purposes please consider me semi-retired.

Kudos [?]: 376 [0], given: 36

If a,b,c and d are positive integers, is (a/b) (c/d) >   [#permalink] 18 Jul 2016, 00:53
Display posts from previous: Sort by