NEW HERE? LEARN MORE
closeclose
Last visit was: 24 Apr 2024, 05:04 It is currently 24 Apr 2024, 05:04
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Out of three distinct numbers: P, Q, R - is P the smallest? (1) Q =

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
P
amanvermagmat
Retired Moderator
Joined: 22 Aug 2013
Posts: 1186
Own Kudos [?]: 2499 [0]
Given Kudos: 459
Location: India
Send PM
Out of three distinct numbers: P, Q, R - is P the smallest? (1) Q = [#permalink] New post   05 Apr 2018, 02:05
00:00
A
B
C
D
E

Difficulty:

25% (medium)

Question Stats:

77% (00:57) correct 23% (01:11) wrong based on 38 sessions
Hide Show timer Statistics
Out of three distinct numbers: P, Q, R - is P the smallest?

(1) Q = (P+R)/2

(2) R is not less than Q.
ShowHide Answer
Official Answer
C
User avatar
S
benejo
Intern
Intern
Joined: 17 Jan 2017
Posts: 47
Own Kudos [?]: 118 [0]
Given Kudos: 4
Send PM
Out of three distinct numbers: P, Q, R - is P the smallest? (1) Q = [#permalink] New post   05 Apr 2018, 10:07
(1) and (2) alone are clearly insufficient.
Both statement together indicate that P must be the smallest.
I plugged in different numbers.

Answer (C)
User avatar
L
GMATBusters
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1907
Own Kudos [?]: 5580 [2]
Given Kudos: 236
WE:General Management (Education)
Send PM
GMAT ToolKit User
Re: Out of three distinct numbers: P, Q, R - is P the smallest? (1) Q = [#permalink] New post   05 Apr 2018, 10:28
2
Kudos
Expert Reply
(1) Q = (P+R)/2
this means that Q is mean of P and R, or in other words,
Q is between P & Q if P & Q are not equal
Q =P=R.(which is not possible as all are distinct)
Clearly insufficient, as P can be smallest or largest.

(2) R is not less than Q.
It is clearly insufficent.

Combing statement 1 & 2, we get
out of P, Q, R: Q is the median. and R is not smaller than Q. hence R is greater than Q.
Thus P is the smallest number,

Sufficient.

Answer c
User avatar
L
GMATBusters
GMAT Tutor
Joined: 27 Oct 2017
Posts: 1907
Own Kudos [?]: 5580 [0]
Given Kudos: 236
WE:General Management (Education)
Send PM
GMAT ToolKit User
Re: Out of three distinct numbers: P, Q, R - is P the smallest? (1) Q = [#permalink] New post   05 Apr 2018, 10:33
Expert Reply
Dear benejo
it is not recommended to prove something valid by substituting value, as you may miss some values which doesn't hold good for the statement under validation.
Yes invalidity of a statement can be proved by substituting because even a single non satisfying value does prove its invalidity.

benejo wrote:
(1) and (2) alone are clearly insufficient.
Both statement together indicate that P must be the smallest.
I plugged in different numbers.

Answer (C)
GMAT Club Bot
gmatclubot
Re: Out of three distinct numbers: P, Q, R - is P the smallest? (1) Q = [#permalink]
05 Apr 2018, 10:33
Moderator:
Bunuel
Math Expert
92901 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions