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

It is currently 18 Oct 2019, 04:08

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

Given that a,b,c and d all lie between 0 and -1

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
P
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 383
GPA: 4
Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post Updated on: 23 Oct 2018, 22:21
4
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

23% (02:51) correct 77% (02:32) wrong based on 47 sessions

HideShow timer Statistics

Given that a,b,c and d all lie between 0 and -1 on the number line,and |a-d|>|a-c|>|a-b|, does c lie between b and d on a number line?

1) ab<ad<cd
2) ac<bc<bd

Posted from my mobile device

_________________
Kudos OK Please!!

ALL ABOUT GMAT- \(https://exampal.com/gmat/blog/gmat-score-explained\)

Originally posted by EncounterGMAT on 23 Oct 2018, 10:51.
Last edited by chetan2u on 23 Oct 2018, 22:21, edited 2 times in total.
Updated topic name and corrected the OA
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7977
Re: Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post 23 Oct 2018, 18:52
Given that a,b,c and d all lie between 0 and -1 on the number line,and |a-d|>|a-c|>|a-b|, does c lie between b and d on a number line?

This tells us that the distance from a : d is farthest, then c and closest is b..
So it can be -1, d, c, b, a, 0 or other ways...yes
But if b and d are on one side and c on other side ... -1, d, b, a,c,0 OR when B and c are on one side and d on other... -1,d,a,b,c,0 so d and c should be on opposite side..

1) ab<ad<cd
ab<ad......a(d-b)>0 since a is negative d-b<0 or d<b so d is closer to -1....
cd>ad......(c-a)d>0 since d is negative, c-a<0...c<a so c is also towards -1..
Thus both d and c are on left side of a..
Two cases..
-1,d,c,b,a,0 or -1,d,c,a,b,0
In both cases answer is YES
Sufficient

2) ac<bc<bd
ac<bc......c(b-a)>0 since c is negative b-a<0 or b<a so b is closer to -1....
bd>bc......b(d-c)>0 since b is negative, d-c<0...d<c so d is closer to -1 as compared to c

Thus both d and b are on opposite side of a ..
-1,d,b,a, c,0 .... c is not in between
or -1,d,c,b,a,0...yes
Insufficient
Additional info
also let me give you values that would satisfy ..
CASE I.
d=-0.9 ; b=-0.7 ; a=-0.6 ; c=-0.4
d is farthest = 0.3, c is next = 0.2 and b is 0.1 faraway..
and they lie -1, d,b,a,c,0... so c is not between b and d
II.. ac<bc<bd = (-0.6)(-0.4)<(-0.7)(-0.4)<(-0.9)(-0.7)....0.24<0.28<0.63 satisfies the condition

CASE II.
d=-0.9 ; c=-0.8 ; b=-0.7 ; a=-0.6
d is farthest = 0.3, c is next = 0.2 and b is 0.1 faraway..
and they lie -1, d,c,b,a,0... so c is between b and d
II.. ac<bc<bd = (-0.6)(-0.8)<(-0.7)(-0.8)<(-0.9)(-0.7)....0.48<0.56<0.63 satisfies the condition

both cases possible , so insufficient

A

OA is wrong
_________________
Senior Manager
Senior Manager
User avatar
P
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 383
GPA: 4
Re: Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post 23 Oct 2018, 21:49
The screenshot of the answers are as follows:

Posted from my mobile device
Attachments

IMG_20181024_101710.jpg
IMG_20181024_101710.jpg [ 195.04 KiB | Viewed 571 times ]


_________________
Kudos OK Please!!

ALL ABOUT GMAT- \(https://exampal.com/gmat/blog/gmat-score-explained\)
Senior Manager
Senior Manager
User avatar
P
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 383
GPA: 4
Re: Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post 23 Oct 2018, 21:50
Posted from my mobile device

Part2 (continued)
Attachments

IMG_20181024_101726.jpg
IMG_20181024_101726.jpg [ 157.64 KiB | Viewed 568 times ]


_________________
Kudos OK Please!!

ALL ABOUT GMAT- \(https://exampal.com/gmat/blog/gmat-score-explained\)
Senior Manager
Senior Manager
User avatar
P
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 383
GPA: 4
Re: Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post 23 Oct 2018, 21:50
Posted from my mobile device


Part 3(continued)
Attachments

IMG_20181024_101748.jpg
IMG_20181024_101748.jpg [ 108.58 KiB | Viewed 561 times ]


_________________
Kudos OK Please!!

ALL ABOUT GMAT- \(https://exampal.com/gmat/blog/gmat-score-explained\)
Senior Manager
Senior Manager
User avatar
P
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 383
GPA: 4
Re: Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post 23 Oct 2018, 21:53
Pls suggest an easier approach for such questions. Thanks in advance.

Posted from my mobile device
_________________
Kudos OK Please!!

ALL ABOUT GMAT- \(https://exampal.com/gmat/blog/gmat-score-explained\)
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 7977
Re: Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post 23 Oct 2018, 22:18
1
topper97 wrote:
Posted from my mobile device


Part 3(continued)


this is wrong..

let me give you values that would satisfy ..
CASE I.
d=-0.9 ; b=-0.7 ; a=-0.6 ; c=-0.4
d is farthest = 0.3, c is next = 0.2 and b is 0.1 faraway..
and they lie -1, d,b,a,c,0... so c is not between b and d
II.. ac<bc<bd = (-0.6)(-0.4)<(-0.7)(-0.4)<(-0.9)(-0.7)....0.24<0.28<0.63 satisfies the condition

CASE II.
d=-0.9 ; c=-0.8 ; b=-0.7 ; a=-0.6
d is farthest = 0.3, c is next = 0.2 and b is 0.1 faraway..
and they lie -1, d,c,b,a,0... so c is between b and d
II.. ac<bc<bd = (-0.6)(-0.8)<(-0.7)(-0.8)<(-0.9)(-0.7)....0.48<0.56<0.63 satisfies the condition

both cases possible , so insufficient

Also the wordings in BOLD is even more confusing... on one hand it writes both are sufficient and then writes something else..

Although a good question but wrong OA and poor explanation
_________________
Senior Manager
Senior Manager
User avatar
P
Status: Whatever it takes!
Joined: 10 Oct 2018
Posts: 383
GPA: 4
Re: Given that a,b,c and d all lie between 0 and -1  [#permalink]

Show Tags

New post 23 Oct 2018, 22:29
chetan2u wrote:
topper97 wrote:
Posted from my mobile device


Part 3(continued)


this is wrong..

let me give you values that would satisfy ..
CASE I.
d=-0.9 ; b=-0.7 ; a=-0.6 ; c=-0.4
d is farthest = 0.3, c is next = 0.2 and b is 0.1 faraway..
and they lie -1, d,b,a,c,0... so c is not between b and d
II.. ac<bc<bd = (-0.6)(-0.4)<(-0.7)(-0.4)<(-0.9)(-0.7)....0.24<0.28<0.63 satisfies the condition

CASE II.
d=-0.9 ; c=-0.8 ; b=-0.7 ; a=-0.6
d is farthest = 0.3, c is next = 0.2 and b is 0.1 faraway..
and they lie -1, d,c,b,a,0... so c is between b and d
II.. ac<bc<bd = (-0.6)(-0.8)<(-0.7)(-0.8)<(-0.9)(-0.7)....0.48<0.56<0.63 satisfies the condition

both cases possible , so insufficient

Also the wordings in BOLD is even more confusing... on one hand it writes both are sufficient and then writes something else..

Although a good question but wrong OA and poor explanation


Thanks a lot. This is easier now.
_________________
Kudos OK Please!!

ALL ABOUT GMAT- \(https://exampal.com/gmat/blog/gmat-score-explained\)
GMAT Club Bot
Re: Given that a,b,c and d all lie between 0 and -1   [#permalink] 23 Oct 2018, 22:29
Display posts from previous: Sort by

Given that a,b,c and d all lie between 0 and -1

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne