NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 07:31 It is currently 26 Apr 2024, 07:31
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 x < 0 and 0 < y < 1, which of the following has the greatest value?

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92934
Own Kudos [?]: 619175 [8]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   28 Jul 2015, 07:19
1
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

76% (01:18) correct 24% (01:23) wrong based on 245 sessions
Hide Show timer Statistics
If x < 0 and 0 < y < 1, which of the following has the greatest value?


A. \(x^2\)

B. \((xy)^2\)

C. \((\frac{x}{y})^2\)

D. \(\frac{x^2}{y}\)

E. \(x^2*y\)
ShowHide Answer
Official Answer
C
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5962
Own Kudos [?]: 13391 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   28 Jul 2015, 07:56
1
Kudos
Expert Reply
Bunuel wrote:
If x < 0 and 0 < y < 1, which of the following has the greatest value?

A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y


Given, x < 0 and 0 < y < 1

Let, x = -2 and y = 1/2

A. x^2 = (-2)^2 = 4
B. (xy)^2 = (-2*1/2)^2 = 1
C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 = 16
D. x^2/y = (-2)^2 / (1/2) = 4*2 = 8
E. x^2*y = (-2)^2*(1/2) = 2

Answer: option C
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11181
Own Kudos [?]: 31949 [2]
Given Kudos: 290
Send PM
Reviews Badge
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   28 Jul 2015, 08:19
1
Kudos
1
Bookmarks
Expert Reply
Bunuel wrote:
If x < 0 and 0 < y < 1, which of the following has the greatest value?

A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y


Hi,
all choices have x^2 in it , so we just require to know that it is a positive value...
now y is a value between 0 and 1 so its value will become lesser as we square it...
so the greatest value will be when we divide anything with the highest value of y..
C stands out ..ans C
User avatar
G
ENGRTOMBA2018
SVP
SVP
Joined: 20 Mar 2014
Posts: 2362
Own Kudos [?]: 3626 [0]
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Send PM
GMAT ToolKit User Reviews Badge
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   28 Jul 2015, 07:29
Bunuel wrote:
If x < 0 and 0 < y < 1, which of the following has the greatest value?

A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y


Plug in the values, x = -1, y =0.5

A: 1
B: 0.25
C: 4
D: 2
E: 0.5

Thus, C is the correct answer.
User avatar
roopika2990
Manager
Manager
Joined: 21 Aug 2012
Posts: 70
Own Kudos [?]: 438 [0]
Given Kudos: 349
Concentration: General Management, Operations
Schools: HBS '19 (S)
GMAT 1: 740 Q49 V42
Send PM
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   30 Jul 2015, 01:35
It doesn't specify that x < -1; x can be a value between 0 and -1 hence changes the whole question. IMO E.
User avatar
SKMishra
Jamboree GMAT Instructor
Joined: 15 Jul 2015
Status:GMAT Expert
Affiliations: Jamboree Education Pvt Ltd
Posts: 6
Own Kudos [?]: 16 [1]
Given Kudos: 0
Location: India
GMAT 1: 680 Q51 V28
Send PM
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   Updated on: 30 Jul 2015, 03:49
1
Bookmarks
chetan2u wrote:
Bunuel wrote:
If x < 0 and 0 < y < 1, which of the following has the greatest value?

A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y


Hi,
all choices have x^2 in it , so we just require to know that it is a positive value...
now y is a value between 0 and 1 so its value will become lesser as we square it...
so the greatest value will be when we divide anything with the highest value of y..
C stands out ..ans C


As chetan2u rightly said, x^2 appears in all options, so it does not matter what is its value. Hence, we effectively need to compare 1, y^2, y^(-2), y^(-1) and y^1. For any number between 0 and 1, as its power increases value decreases. Thus Option (C) is the greatest value.
Also chetan2u, please note that the value in denominator need to be smallest.

Originally posted by SKMishra on 30 Jul 2015, 03:11.
Last edited by SKMishra on 30 Jul 2015, 03:49, edited 1 time in total.
User avatar
Subanta
Intern
Intern
Joined: 05 Nov 2014
Posts: 37
Own Kudos [?]: 241 [0]
Given Kudos: 15
Concentration: Marketing, International Business
Send PM
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   30 Jul 2015, 03:12
GMATinsight wrote:
Bunuel wrote:
If x < 0 and 0 < y < 1, which of the following has the greatest value?

A. x^2
B. (xy)^2
C. (x/y)^2
D. x^2/y
E. x^2*y


Given, x < 0 and 0 < y < 1

Let, x = -2 and y = 1/2

A. x^2 = (-2)^2 = 4
B. (xy)^2 = (-2*1/2)^2 = 1
C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 = 16
D. x^2/y = (-2)^2 / (1/2) = 4*2 = 8
E. x^2*y = (-2)^2*(1/2) = 2

Answer: option C


Perfect! I did exactly this.. the best way to solve these problems is to Plug In.
User avatar
mejia401
Senior Manager
Senior Manager
Joined: 15 Sep 2011
Posts: 258
Own Kudos [?]: 1371 [0]
Given Kudos: 46
Location: United States
WE:Corporate Finance (Manufacturing)
Send PM
GMAT ToolKit User
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   30 Jul 2015, 09:22
roopika2990 wrote:
It doesn't specify that x < -1; x can be a value between 0 and -1 hence changes the whole question. IMO E.


Hi roopika2990,

I'm not sure how the whole equation changes when \(x^{2}\) is in each of the solutions. Could you help elaborate?
Thank you.
User avatar
S
spetznaz
Senior Manager
Senior Manager
Joined: 08 Jun 2015
Posts: 259
Own Kudos [?]: 82 [0]
Given Kudos: 145
Location: India
Schools: Tepper '21 (D) IIMC PGPEX"20 (A) ISB '20 (A) HEC Jan19 Intake IIMA PGPX"20 (A) IIMB EPGP"20 (D) IMD '21 (D)
GMAT 1: 640 Q48 V29
GMAT 2: 700 Q48 V38
GPA: 3.33
Send PM
Reviews Badge
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   11 Apr 2018, 22:04
+1 for option C. We need a positive value in the numerator ; denominator requires to be as small as possible. B/W C and D - we see that in C the value is multiplied by one more factor of y. Hence option C.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32684
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink] New post   16 Mar 2024, 09:58
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.
GMAT Club Bot
gmatclubot
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
16 Mar 2024, 09:58
Moderators:
Bunuel
Math Expert
92933 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