Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 25 Sep 2016, 20:50

### 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: 221
Followers: 4

Kudos [?]: 113 [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
00:00

Difficulty:

15% (low)

Question Stats:

83% (01:33) correct 17% (00:40) wrong based on 59 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
Intern
Joined: 06 Apr 2010
Posts: 23
Followers: 2

Kudos [?]: 1 [0], 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
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.
Intern
Joined: 03 Mar 2010
Posts: 40
Followers: 1

Kudos [?]: 14 [2] , 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
2
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.

Intern
Joined: 10 Apr 2008
Posts: 25
Followers: 0

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)
Manager
Joined: 06 Apr 2010
Posts: 142
Followers: 3

Kudos [?]: 565 [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
Manager
Joined: 09 Jun 2010
Posts: 116
Followers: 2

Kudos [?]: 102 [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
Senior Manager
Joined: 14 Jun 2010
Posts: 333
Followers: 2

Kudos [?]: 22 [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!!
Manager
Joined: 16 Feb 2010
Posts: 225
Followers: 2

Kudos [?]: 250 [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
SVP
Joined: 05 Jul 2006
Posts: 1521
Followers: 5

Kudos [?]: 258 [0], given: 40

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
Manager
Joined: 07 Feb 2010
Posts: 159
Followers: 2

Kudos [?]: 480 [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
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 11674
Followers: 527

Kudos [?]: 143 [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.
_________________
Director
Joined: 04 Jun 2016
Posts: 656
GMAT 1: 750 Q49 V43
Followers: 39

Kudos [?]: 139 [0], given: 36

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.

If a,b,c and d are positive integers, is (a/b) (c/d) >   [#permalink] 18 Jul 2016, 00:53
Similar topics Replies Last post
Similar
Topics:
if c and d are positives integers, d>=2 and cd is the square 3 27 Feb 2016, 08:49
13 A, B, C and D are positive integers such that A/B = C/D. Is C divisibl 7 16 Apr 2015, 04:46
41 If a, b, c, and d, are positive numbers, is a/b < c/d? 17 08 Jul 2012, 18:20
5 For non–zero integers a, b, c and d, is ab/cd positive? 8 01 Dec 2011, 14:24
13 For non-zero integers a, b, c and d, is ab/cd positive? 12 20 Dec 2006, 03:25
Display posts from previous: Sort by