BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

GPrep Ques

Expert replies
Source: — Problem Solving |

by eagleeye » Sun May 13, 2012 6:04 pm
Hi Ranjeet75:

All can be true.
When evaluating questions like this keep in mind that fractional values become smaller when they are squared or quadrupled. The correct answer is all three. Let me give you specific examples.

For I:

Let x = 100, y = 5, z= 1; then y^2 = 25, z^4 = 1 and we have x>y^2>z^4 and x>y>z.
So I can be true.

For II:
Let x = 0.3 ; y = 0.4; z = 0.5 ; then y^2 = 0.16 ; z^4 = 0.0625 and we have x>y^2>z^4 and z>y>x.
So II can be true.

For III:
Let x= 100 ; y = 0.4 ; z = 0.5 ; then y^2 = 0.16 ; z^4 = 0.0625 and we have x>y^2>z^4 and x>z>y
So III can be true.

Hence the final answer is I, II, III
Join the discussion

by Anurag@Gurome » Sun May 13, 2012 8:56 pm
ranjeet75 wrote:Please provide explanation
(I) x > y^2
  • Certainly for integer values of x and y, x is always greater than y. But what about fractional values> f y is a fraction then y^2 is < y. Now always there is a fraction x, such that y > x > y^2. Thus for fractional values x may be less than y. Therefore regarding the relation between x and y all of the options could be true.
(II) x > z^4
  • Same logic as above.
(II) y^2 > z^4
  • This directly implies y > z^2. Now again apply same logic as above.
The correct answer is E.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Join the discussion