Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 23 Jul 2019, 04:53

### 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, is a/b > c/d?

Author Message
TAGS:

### Hide Tags

SVP
Joined: 26 Mar 2013
Posts: 2284
If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

### Show Tags

04 May 2017, 15:37
2
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:11) correct 26% (00:57) wrong based on 85 sessions

### HideShow timer Statistics

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

1) a > c

2) b > d
Math Expert
Joined: 02 Aug 2009
Posts: 7763
Re: If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

### Show Tags

04 May 2017, 19:50
Mo2men wrote:
If a, b, c, and d are positive, is a/b > c/d?

1) a > c

2) b > d

since all variables are POSITIVE, we can cross multiply

So the Q is ----Is a*d>b*c ?

Let's see the statements..
1) a>c..
But nothing about other two variables..
Insufficient
2) b>D..
Insufficient

Combined..
a>c and b>d...
We can surely say a*b>c*d, but we cannot tell anything about a*d and b*c.
We require some interconnecting relationship between two more other than given.
Insufficient

For example..
If a>c and b>D, we can have these two examples:-
1) Say a=5, b=7, c=3, d=6...
So a*d>b*c means5*6>7*3.....30>21.... YES..
2) Say a=5, b=7, c=3, d=4...
So a*d>b*c means5*4>7*3.....20>21.... NO..

E
_________________
IIMA, IIMC School Moderator
Joined: 04 Sep 2016
Posts: 1363
Location: India
WE: Engineering (Other)
Re: If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

### Show Tags

06 Aug 2018, 03:06
chetan2u KarishmaB pikolo2510 niks18 PKN

Any alternate approach than plugging numbers here?
_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!!
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9457
Location: Pune, India
Re: If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

### Show Tags

06 Aug 2018, 04:12
Mo2men wrote:
If a, b, c, and d are positive, is a/b > c/d?

1) a > c

2) b > d

Each statement alone is obviously insufficient since the value of the fraction will depend on both the numerator and denominator.

Together, you can divide two inequalities only when they have opposite signs (given that a, b, c and d are all positive). So both statements together are not sufficient. We cannot say whether a/b will be greater than c/d or not.

Check this post I wrote for Veritas Prep to see the discussion on basic operations on inequalities for GMAT:
https://www.veritasprep.com/blog/2015/1 ... ties-gmat/

It discusses conditions under which you can add/subtract/multiply/divide inequalities.
_________________
Karishma
Veritas Prep GMAT Instructor

VP
Joined: 09 Mar 2016
Posts: 1273
If a, b, c, and d are positive, is a/b > c/d?  [#permalink]

### Show Tags

06 Aug 2018, 04:17
Mo2men wrote:
If a, b, c, and d are positive, is a/b > c/d?

1) a > c

2) b > d

congrats everyone on International DS day

My reasoning was simple

Statement One: a > c Here we are given info on Numerators A is bigger than C (no info on denominars is given)

Statement Two b > d Here we are given info on Denominators B is bigger than D ( NO EXACT info on Denominators is given) B and D could be any numbers ... 3 and 2 respectively or 300 and 5 respectively.

hence E YAY !
If a, b, c, and d are positive, is a/b > c/d?   [#permalink] 06 Aug 2018, 04:17
Display posts from previous: Sort by