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

Redeem

Is i>j?

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 2276
Joined: Sat Oct 14, 2017 6:10 am
Followed by:3 members

Is i>j?

by VJesus12 » Tue Mar 27, 2018 2:44 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Is i>j?

1) k^2j>ki
2) j^2k>ji

The OA is the option E.

I don't know how to prove that the correct answer is the option E. May any expert give me some help? <i class="em em-sob"></i>
Top
Source: — Data Sufficiency |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Tue Mar 27, 2018 5:39 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

VJesus12 wrote:Is i>j?

1) k²j > ki
2) j²k > ji
Statement 1:
Case 1: k=1, j=2 and i=1, with the result that k²j=2 and ki=1
In this case, i < j, so the answer to the question stem is NO.
Case 2: k=-1, j=-2 and i=3, with the result that k²j=-2 and ki=-3
In this case, i > j, so the answer to the question stem is YES.
Since the answer is NO in Case 1 but YES in Case 2, INSUFFICIENT.

Statement 2:
Case 1: k=1, j=2 and i=1, with the result that j²k=4 and ji=2
In this case, i < j, so the answer to the question stem is NO.
Case 2: k=-1, j=-2 and i=3, with the result that j²k=-4 and ji=-6
In this case, i > j, so the answer to the question stem is YES.
Since the answer is NO in Case 1 but YES in Case 2, INSUFFICIENT.

Statements combined:
Cases 1 and 2 satisfy both statements.
Since the answer is NO in Case 1 but YES in Case 2, INSUFFICIENT.

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
Top
Post new topic Post Reply
• Page 1 of 1