NEW HERE? LEARN MORE
closeclose
Last visit was: 10 May 2024, 16:19 It is currently 10 May 2024, 16:19
Decision Tracker
My Rewards
New posts
New comers' posts

Close
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93155
Own Kudos [?]: 622693 [5]
Given Kudos: 81828
Send PM
CAT Tests Forum Quiz Mode
If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4 [#permalink] New post   15 Sep 2018, 03:41
3
Kudos
2
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

93% (00:40) correct 7% (01:05) wrong based on 716 sessions
Hide Show timer Statistics
If \(|\frac{a}{c} \frac{b}{d}|=ad-bc\) for all numbers, a, b, c, and d, then \(|\frac{3}{-2} \frac{5}{4}|=ad-bc\)


A. -22

B. -2

C. 2

D. 7

E. 22
ShowHide Answer
Official Answer
E
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11236
Own Kudos [?]: 32405 [1]
Given Kudos: 301
Send PM
Reviews Badge Forum Quiz Mode
Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4 [#permalink] New post   15 Sep 2018, 04:53
1
Kudos
Expert Reply
Bunuel wrote:
If \(|\frac{a}{c} \frac{b}{d}|=ad-bc\) for all numbers, a, b, c, and d, then \(|\frac{3}{-2} \frac{5}{4}|=ad-bc\)


A. -22

B. -2

C. 2

D. 7

E. 22


\(|\frac{a}{c} \frac{b}{d}|=ad-bc\) =\(|\frac{3}{-2} \frac{5}{4}|=3*4-5*(-2)=12+10=22\)

E
User avatar
D
BrushMyQuant
Tutor
Joined: 05 Apr 2011
Status:Tutor - BrushMyQuant
Posts: 1777
Own Kudos [?]: 2099 [0]
Given Kudos: 100
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Send PM
If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4 [#permalink] New post   31 Oct 2022, 22:53
Expert Reply
Top Contributor
Given that \(|\frac{a}{c} \frac{b}{d}|=ad-bc\) and we need to find the value of \(|\frac{3}{-2} \frac{5}{4}|\)

Comparing \(|\frac{3}{-2} \frac{5}{4}|\) and \(|\frac{a}{c} \frac{b}{d}|\) we get
a = 3, b = 5, c = -2, d = 4

=> \(|\frac{3}{-2} \frac{5}{4}|=3*4 - 5*-2\) = 12 + 10 = 22

So, Answer will be E
Hope it helps!

Watch the following video to learn the Basics of Functions and Custom Characters

User avatar
S
MasteringGMAT
Manager
Manager
Joined: 14 Feb 2022
Posts: 79
Own Kudos [?]: 784 [0]
Given Kudos: 69
Concentration: General Management, Strategy
Send PM
Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4 [#permalink] New post   04 Mar 2023, 01:58
Bunuel : any reason why the absolute condition in the LHS is not considered while solving for the RHS?
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 93155
Own Kudos [?]: 622693 [0]
Given Kudos: 81828
Send PM
CAT Tests Forum Quiz Mode
Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4 [#permalink] New post   04 Mar 2023, 02:45
Expert Reply
Traj201090 wrote:
Bunuel : any reason why the absolute condition in the LHS is not considered while solving for the RHS?


It seems that there may have been some confusion regarding the notation used in the question.

The bars there are not absolute value signs. Rather, they are function signs that operate in the manner described on the right-hand side (RHS) of the equation. Specifically, given any four numbers a/c and b/d, |a/c b/d| denotes the value of the expression ad-bc.

Hope it's clear.
GMAT Club Bot
gmatclubot
Re: If |a/c b/d| = ad-bc for all numbers, a, b, c, and d, then 3/-2 5/4 [#permalink]
04 Mar 2023, 02:45
Moderators:
Bunuel
Math Expert
93155 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions