Problem Solving

Expert replies

akash singhal: Master | Next Rank: 500 Posts; Posts: 152; Joined: Fri Apr 24, 2015 1:39 amFollowed by: 3 members; Location: Rourkela Odisha India; Thanked: 2 times; GMAT Score:650

by akash singhal » Fri May 15, 2015 3:23 am

If x > y^2 > z^4, which of the following statements could be true?

1. x>y>z
2. z>y>x
3. x>z>y

A. 1 only
B. 1 and 2 only
C. 1 and 3 only
D. 2 and 3 only
E. 1,2 and 3

Try it a nice question...
Answer after your explanation...

Like this post

Source: Beat The GMAT — Problem Solving | Fri May 15, 2015 3:23 am

akash singhal: Master | Next Rank: 500 Posts; Posts: 152; Joined: Fri Apr 24, 2015 1:39 amFollowed by: 3 members; Location: Rourkela Odisha India; Thanked: 2 times; GMAT Score:650

by akash singhal » Fri May 15, 2015 3:34 am

Sorry i just saw that this question was posted before by somebody... if u have solved it ignore it

Thanks....

Is there any process to solve such inequalities or just we have to put the value and check????
If their is a process do share???

Like this post

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Fri May 15, 2015 4:24 am

akash singhal wrote:If x > y^2 > z^4, which of the following statements could be true?

1. x>y>z
2. z>y>x
3. x>z>y

A. 1 only
B. 1 and 2 only
C. 1 and 3 only
D. 2 and 3 only
E. 1,2 and 3
.

Constraint: x > yÂ² > zâ�´

Statement I: x > y > z
To make x > y > x and x > zâ�´, let x be a large integer and z be a small integer.
Case 1: x=10, y=2 and z=1
In this case, x > yÂ² > zâ�´ and x > y > z.
Since statement I is possible, eliminate D.

Statement III: x > z > y
In Case 1, changing the signs of y and z will make z > y.
Case 2: x=10, z=-1 and y=-2
In this case, x > yÂ² > zâ�´ and x > z > y.
Since statement III is possible, eliminate A and B.

Statement II: z > y > x
To make z > y > x and x > zâ�´, let x and z be positive fractions, since a positive fraction raised to a power greater than 1 gets SMALLER.
Case 3: z=1/2, y=1/3, x=1/4
In this case, x > yÂ² > zâ�´ and z > y > x.
Since statement II is possible, eliminate C.

The correct answer is E.

Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3

Like this post

GMAT/MBA Expert

Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Fri May 15, 2015 7:48 am

If x > yÂ² > zâ�´, which of the following statements could be true?

I. x > y > z
II. z > y > x
III. x > z > y

A. I only
B. I and II only
C. I and III only
D. II and III only
E. I, II and III

If we CAN find a set of values that satisfies a statement AND yields values such that x > yÂ² > zâ�´, then we'll keep that statement.

Statement I. x > y > z
If x = 2, y = 1, and z = 0, then x > yÂ² > zâ�´
KEEP statement I

Statement II. z > y > x
If x = 1/4, y = 1/3, and z = 1/2, then x > yÂ² > zâ�´
KEEP statement II

Statement III. x > z > y
If x = 2, y = -1, and z = 0, then x > yÂ² > zâ�´
KEEP statement III

Answer: E

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

559 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review