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

It is currently 26 Apr 2019, 08:57

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.

Close

Request Expert Reply

Confirm Cancel

On the line above, if AB < BC < CD < DE, which of the following must

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54696
On the line above, if AB < BC < CD < DE, which of the following must  [#permalink]

Show Tags

New post 12 Jul 2017, 01:55
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

92% (01:25) correct 8% (01:42) wrong based on 83 sessions

HideShow timer Statistics

Director
Director
avatar
G
Joined: 02 Sep 2016
Posts: 663
On the line above, if AB < BC < CD < DE, which of the following must  [#permalink]

Show Tags

New post 12 Jul 2017, 03:10
I tried to solve this question by plugging in nos. but really didn't get anything out of it.

Just my best guess:

Is it B?

AC<CE

That's because: AB<BC and BC<CD and DE

So AB is also less than CD and DE.

So the sum of the smaller two nos. would be less than sum of the bigger two nos.


(I am not sure if this correct).

Waiting for your method Bunuel.

Thanks
_________________
Help me make my explanation better by providing a logical feedback.

If you liked the post, HIT KUDOS !!

Don't quit.............Do it.
Current Student
User avatar
P
Joined: 18 Aug 2016
Posts: 619
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Reviews Badge
Re: On the line above, if AB < BC < CD < DE, which of the following must  [#permalink]

Show Tags

New post 12 Jul 2017, 04:43
Bunuel wrote:
Image
On the line above, if AB < BC < CD < DE, which of the following must be true?

(A) AC < CD

(B) AC < CE

(C) AD < CE

(D) AD < DE

(E) BD < DE


Attachment:
2017-07-12_1253.png


Given AB<BC<CD<DE

Please note that all the values which AB, BC, CD or DE take will be positive. Lets assume
AB = a
BC=a+x
CD=a+x+y
DE=a+x+y+z
All a,x,y,z are positive

(A) AC < CD => AB+BC<CD => a+a+x<a+x+y (a could be greater than y) Nope

(B) AC < CE => AB+BC<CD+DE => a+a+x<a+x+y+a+x+y+z => 0<y+x+y+z and since x,y,z is positive..this is our answer

(C) AD < CE => AB+BC+CD<CD+DE => AB+BC<DE => a+a+x<a+x+y+z (a could be greater than y+z) Nope

(D) AD < DE => AB+BC+CD < DE => a+a+x+a+x+y<a+x+y+z (2a+x could be larger than z) Nope

(E) BD < DE => BC+CD<DE => a+x+a+x+y<a+x+y+z (a+x could be larger than z) Nope

Hence B

We can also use smart numbers like a=6, x=2, y=3, z=4
_________________
We must try to achieve the best within us


Thanks
Luckisnoexcuse
Director
Director
avatar
S
Joined: 21 Mar 2016
Posts: 519
Reviews Badge
Re: On the line above, if AB < BC < CD < DE, which of the following must  [#permalink]

Show Tags

New post 12 Jul 2017, 09:39
1
try to split the inequalities..

AB<BC
BC<CD
add the above equztions...AC<BD....(1)

BC<CD
CD<DE
adding will give BD<CE....(2)

from 1 and 2 we get AC<CE..
ans B
Manager
Manager
User avatar
G
Joined: 10 Mar 2016
Posts: 106
Location: India
Concentration: Finance, Real Estate
GMAT 1: 550 Q44 V23
Premium Member
Re: On the line above, if AB < BC < CD < DE, which of the following must  [#permalink]

Show Tags

New post 12 Jul 2017, 09:43
The addition of 2 smaller quantities will be less than the addition of 2 greater quantities....hence B

Sent from my MI PAD using GMAT Club Forum mobile app
_________________
Please Hit Kudos if you like my post useful.
Manager
Manager
avatar
B
Joined: 20 Aug 2015
Posts: 97
Location: India
GMAT 1: 710 Q50 V36
GPA: 3
GMAT ToolKit User
Re: On the line above, if AB < BC < CD < DE, which of the following must  [#permalink]

Show Tags

New post 06 Aug 2017, 10:44
Bunuel wrote:
Image
On the line above, if AB < BC < CD < DE, which of the following must be true?

(A) AC < CD

(B) AC < CE

(C) AD < CE

(D) AD < DE

(E) BD < DE


Attachment:
2017-07-12_1253.png



AB < CD
BC < DE

AB + BC < CD + DE
AC < CE

Ans B.
GMAT Club Bot
Re: On the line above, if AB < BC < CD < DE, which of the following must   [#permalink] 06 Aug 2017, 10:44
Display posts from previous: Sort by

On the line above, if AB < BC < CD < DE, which of the following must

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.