GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 25 Aug 2019, 21:55

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If p is a negative number and 0 < s < |p|, which of the following

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57255
If p is a negative number and 0 < s < |p|, which of the following  [#permalink]

Show Tags

New post 24 May 2018, 05:12
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

82% (01:04) correct 18% (01:06) wrong based on 270 sessions

HideShow timer Statistics

examPAL Representative
User avatar
P
Joined: 07 Dec 2017
Posts: 1075
Re: If p is a negative number and 0 < s < |p|, which of the following  [#permalink]

Show Tags

New post 24 May 2018, 05:22
1
2
Bunuel wrote:
If p is a negative number and \(0 < s < |p|\), which of the following must also be a negative number?


A) \((p+s)^2\)

B) \((p-s)^2\)

C) \((s-p)^2\)

D) \(p^2-s^2\)

E) \(s^2-p^2\)


As all we're given are variables, we'll pick simple numbers to eliminate incorrect answers.
This is an Alternative approach.

Let's start with s = 1 and p = -2.
Then
(A) is (-1)^2 = 1. NO
(B) is (-3)^2 = 9. NO
(C) is 3^2 = 9. NO
(D) is (-2)^2 - 1^2 = 4 - 1 = 3. NO
(E) must be our answer. Let's verify: 1^2 - (-2)^2 = 1 - 4 = -3.

(E) is our answer.
_________________
Intern
Intern
avatar
B
Joined: 03 Dec 2017
Posts: 5
Re: If p is a negative number and 0 < s < |p|, which of the following  [#permalink]

Show Tags

New post 24 May 2018, 22:10
E;

In the number line value of S will be between 0 and +Mod p,

Therefore P2-s2 will always be negative.
Intern
Intern
avatar
B
Joined: 12 Feb 2018
Posts: 9
Re: If p is a negative number and 0 < s < |p|, which of the following  [#permalink]

Show Tags

New post 12 Aug 2018, 07:55
Faster way:
First three answers are wrong. Elevating to the two the whole sum will lead for sure to a positive number.
For the least two answers (D and E) we know that both of the numbers ( p and s ) will be positive due to the elevation to the power of two. We know as well that p is greater than s so if we want a negative sum we need to subtract p to s.
The correct answer is E
GMAT Club Bot
Re: If p is a negative number and 0 < s < |p|, which of the following   [#permalink] 12 Aug 2018, 07:55
Display posts from previous: Sort by

If p is a negative number and 0 < s < |p|, which of the following

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne