|
Author |
Message |
|
TAGS:
|
|
|
Math Expert
Joined: 02 Sep 2009
Posts: 44566
|
If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
 28 Jul 2015, 07:19
D
E
Question Stats:
75% (00:58) correct 25% (01:09) wrong based on 102 sessions
HideShow timer Statistics
|
|
|
|
|
|
Current Student
Joined: 20 Mar 2014
Posts: 2652
Concentration: Finance, Strategy
GPA: 3.7
WE: Engineering (Aerospace and Defense)
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
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.
|
|
|
|
|
|
SVP
Joined: 08 Jul 2010
Posts: 2062
Location: India
GMAT: INSIGHT
WE: Education (Education)
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
28 Jul 2015, 07:56
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 < 1Let, x = -2 and y = 1/2A. x^2 = (-2)^2 = 4B. (xy)^2 = (-2*1/2)^2 = 1C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 = 16D. x^2/y = (-2)^2 / (1/2) = 4*2 = 8E. x^2*y = (-2)^2*(1/2) = 2Answer: option C
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html
22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
|
|
|
|
|
|
Math Expert
Joined: 02 Aug 2009
Posts: 5769
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
28 Jul 2015, 08:19
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
_________________
Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
GMAT online Tutor
|
|
|
|
|
|
Manager
Joined: 21 Aug 2012
Posts: 179
Concentration: General Management, Operations
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
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.
|
|
|
|
|
|
Jamboree GMAT Instructor
Status: GMAT Expert
Affiliations: Jamboree Education Pvt Ltd
Joined: 15 Jul 2015
Posts: 8
Location: India
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
Updated on: 30 Jul 2015, 03:49
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.
|
|
|
|
|
|
Intern
Joined: 05 Nov 2014
Posts: 41
Concentration: Marketing, International Business
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
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 < 1Let, x = -2 and y = 1/2A. x^2 = (-2)^2 = 4B. (xy)^2 = (-2*1/2)^2 = 1C. (x/y)^2 = {-2/(1/2)}^2 = (-4)^2 = 16D. x^2/y = (-2)^2 / (1/2) = 4*2 = 8E. x^2*y = (-2)^2*(1/2) = 2Answer: option C Perfect! I did exactly this.. the best way to solve these problems is to Plug In.
_________________
Kudos = Thanks
"Yeah, you can get a nickel for boosting Starfall, but jacking Heal's a ten-day stint in county.
Now lifting Faerie Fire, they just let you go for that — it's not even worth the paperwork.
But Reincarnation, man! That'll get you life!"
|
|
|
|
|
|
Senior Manager
Joined: 15 Sep 2011
Posts: 348
Location: United States
WE: Corporate Finance (Manufacturing)
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
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.
|
|
|
|
|
|
Senior Manager
Joined: 08 Jun 2015
Posts: 464
Location: India
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value? [#permalink]
Show Tags
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.
_________________
" The few , the fearless "
|
|
|
|
|
|
|
Re: If x < 0 and 0 < y < 1, which of the following has the greatest value?
[#permalink]
11 Apr 2018, 22:04
|
|
|
|
|
|
|
|
|
|
|
