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

 It is currently 26 May 2019, 20:22

### 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
Your Progress

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

# The numbers a, b, c, and d are all positive, and J = a/b and

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Manager
Status: Working hard to score better on GMAT
Joined: 02 Oct 2012
Posts: 82
Location: Nepal
Concentration: Finance, Entrepreneurship
GPA: 3.83
WE: Accounting (Consulting)
The numbers a, b, c, and d are all positive, and J = a/b and  [#permalink]

### Show Tags

Updated on: 12 Apr 2013, 05:20
1
2
00:00

Difficulty:

75% (hard)

Question Stats:

48% (02:22) correct 52% (02:15) wrong based on 27 sessions

### HideShow timer Statistics

The numbers a, b, c, and d are all positive, and J = a/b and K = c/d. Is J greater than K?

(1) a < b, c < d, and c > a
(2) a + 7 = c and b + 4 = d

please explain your answer thoroughly....

_________________
Do not forget to hit the Kudos button on your left if you find my post helpful.

Originally posted by atalpanditgmat on 12 Apr 2013, 04:56.
Last edited by Bunuel on 12 Apr 2013, 05:20, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 55277
Re: The numbers a, b, c, and d are all positive, and J = a/b and  [#permalink]

### Show Tags

12 Apr 2013, 05:39
4
1
The numbers a, b, c, and d are all positive, and J = a/b and K = c/d. Is J greater than K?

The question asks whether $$\frac{a}{b}>\frac{c}{d}$$. Since all unknowns are positive we can safely cross-multiply: is $$ad>bc$$?

(1) a < b, c < d, and c > a. If a=1, b=2, c=2, and d=3, then $$ad=3<4=bc$$ (answer NO) but if a=1, b=2, c=2, and d=5, then $$ad=5>4=bc$$. Not sufficient.

(2) a + 7 = c and b + 4 = d. The question becomes: is $$a(b+4)>b(a+7)$$? --> is $$ab+4a>ab+7b$$? --> is $$4a>7b$$? We have no additional info to determine that. Not sufficient.

(1)+(2) The question from (2) became "is $$4a>7b$$?" and (1) says that $$a<b$$, thus the answer to the question is NO. Sufficient.

Answer: C.

Hope it's clear.
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 11029
Re: The numbers a, b, c, and d are all positive, and J = a/b and  [#permalink]

### Show Tags

22 Mar 2019, 20:32
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.
_________________
Re: The numbers a, b, c, and d are all positive, and J = a/b and   [#permalink] 22 Mar 2019, 20:32
Display posts from previous: Sort by

# The numbers a, b, c, and d are all positive, and J = a/b and

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.