GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 18 Oct 2019, 07:40

### 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

# 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: 180
If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

### Show Tags

02 Aug 2010, 00:01
3
00:00

Difficulty:

15% (low)

Question Stats:

73% (01:00) correct 27% (01:34) wrong based on 102 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
Intern
Joined: 03 Mar 2010
Posts: 34
Re: If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

### Show Tags

02 Aug 2010, 01:51
7
$$(\frac{a}{b})(\frac{c}{d})=(\frac{a}{d})(\frac{c}{b})>(\frac{c}{b})$$
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.
##### General Discussion
Intern
Joined: 06 Apr 2010
Posts: 17
Re: If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

### Show Tags

02 Aug 2010, 00:34
1
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: 10 Apr 2008
Posts: 19
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: 09 Jun 2010
Posts: 98
Re: If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

### Show Tags

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

(2) a > d

"B" it is
Manager
Joined: 16 Feb 2010
Posts: 164
Re: If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

### Show Tags

29 Aug 2010, 18:25
1
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
Retired Moderator
Joined: 05 Jul 2006
Posts: 1419
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: 116
Re: If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

### Show Tags

30 Aug 2010, 08:06
1
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
Director
Joined: 04 Jun 2016
Posts: 556
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
1
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.
Manager
Joined: 16 May 2018
Posts: 84
Location: Hungary
Schools: Queen's MBA'20
Re: If a,b,c and d are positive integers, is (a/b) (c/d) >  [#permalink]

### Show Tags

27 Feb 2019, 09:58
Can someone pls explain me , how does

(a/b)(c/d) > c/b
become
a/d>1 ?
i know that its simplification, but i just cant get it
Re: If a,b,c and d are positive integers, is (a/b) (c/d) >   [#permalink] 27 Feb 2019, 09:58
Display posts from previous: Sort by