Last visit was: 18 May 2024, 10:26 It is currently 18 May 2024, 10:26
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If |p |p|| = 3, how many values of p satisfy this equation?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 93334
Own Kudos [?]: 624730 [4]
Given Kudos: 81900
Math Expert
Joined: 02 Sep 2009
Posts: 93334
Own Kudos [?]: 624730 [0]
Given Kudos: 81900
General Discussion
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3133
Own Kudos [?]: 4411 [1]
Given Kudos: 1855
Location: India
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5983
Own Kudos [?]: 13487 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: If |p |p|| = 3, how many values of p satisfy this equation? [#permalink]
1
Kudos
Bunuel wrote:
­If $$|p – |p|| = 3$$, how many values of $$p$$ satisfy this equation?

A. 0
B. 1
C. 2
D. 3
E. 4­

­LOGICAL APPROACH
$$|p – |p|| = 3$$

Observation 1: If p were a positive value then p and |p| would be equal and p – |p| would be zero

Since, $$|p – |p|| = 3$$ i.e. p MUST be negative

Observation 2: since p is Negative therefore |p| must be positive and $$|p – |p||$$ mist be equal to |2p|

Now since |2p| = 3
p must be -1.5 only hence ONLY ONE SOLUTION

---
GMATinsight  (4.9/5 google rated GMAT Prep Destination)- Book your FREE trial session
Providing Focused GMAT Prep (Online and Offline) for GMAT Focus along with 100% successful Admissions counselling