It is currently 21 Feb 2018, 12:49

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

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

(Please solve this problem, anyone!) PS Problem #4. Thx!!

Author Message
Intern
Joined: 23 Jun 2009
Posts: 47

Show Tags

24 Jul 2009, 12:42
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If 0<x<1, which of the following inequalities must be true?
I. x^5 < x^3
II. x^4 + x^5 < x^3 + x^2
III. x^4 - x^5 < x^2 - x^3

A) None
B) I only
C) II only
D) I and III only
E) I, II, and III

Thanks in advance! I would appreciate this help, especially if I can understand a very structured way to reason it out. I think I got the answer by intelligent guessing, but a better approach would help.
Manager
Joined: 18 Jul 2009
Posts: 167
Location: India
Schools: South Asian B-schools

Show Tags

24 Jul 2009, 13:43
U must have got ur ans from Prep Software ----

Ans is E >> I,II and III (plz refer JPG i have attached ...i have made this JPG so that all indices variation wrto number line can be seen in one shot...i hope this will help you...

I) its very clear from the image attached that between 0<x<1

x^5 < x^3

II) x^4 + x^5 < x^3 + x^2 (since x is +ve we can take it common...no sign change)

x^4(1 + x) < x^2(x + 1)....on cancelling (1+x)...again it is evident

III) x^4 - x^5 < x^2 - x^3 ( apply same logic as in II...this is also true)

Hence E

if right Kudos plz ...trying to access exam
Attachments

Picture1.gif [ 4.67 KiB | Viewed 926 times ]

_________________

Bhushan S.
If you like my post....Consider it for Kudos

Re: (Please solve this problem, anyone!) PS Problem #4. Thx!!   [#permalink] 24 Jul 2009, 13:43
Display posts from previous: Sort by