NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 06:42 It is currently 25 Apr 2024, 06:42
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

If the average (arithmetic mean) of 31, 41, and p is between 29 and 47

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92913
Own Kudos [?]: 618940 [0]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47 [#permalink] New post   07 Dec 2018, 03:05
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

93% (01:49) correct 7% (02:59) wrong based on 60 sessions
Hide Show timer Statistics
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of \((p - 7)^2 =\)

A. 64
B. 66
C. 68
D. 70
E. 72
ShowHide Answer
Official Answer
A
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8019
Own Kudos [?]: 4096 [2]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: If the average (arithmetic mean) of 31, 41, and p is between 29 and 47 [#permalink] New post   07 Dec 2018, 04:42
2
Kudos
Bunuel wrote:
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of \((p - 7)^2 =\)

A. 64
B. 66
C. 68
D. 70
E. 72


say mean is 29
31+41+p= 3*29

so p= 87-72 = 15
(15-7)^2= 64 IMO A
User avatar
L
sashiim20
Director
Director
Joined: 04 Dec 2015
Posts: 620
Own Kudos [?]: 1585 [1]
Given Kudos: 276
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47 [#permalink] New post   07 Dec 2018, 06:16
1
Kudos
Bunuel wrote:
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of \((p - 7)^2 =\)

A. 64
B. 66
C. 68
D. 70
E. 72


Least possible value of average is \(= 29\)

Therefore;

\(\frac{31+41+p}{3} = 29\)

\(72+p =29 * 3 = 87\)

\(p = 87 - 72 = 15\)

Putting value of \(p\) we get least possible value;

\((p - 7)^2\)\(= (15 - 7)^2 =8^2 = 64\)

Answer A
User avatar
G
TestPrepUnlimited
Tutor
Joined: 17 Sep 2014
Posts: 1251
Own Kudos [?]: 938 [0]
Given Kudos: 6
Location: United States
GMAT 1: 780 Q51 V45
GRE 1: Q170 V167
Send PM
Re: If the average (arithmetic mean) of 31, 41, and p is between 29 and 47 [#permalink] New post   12 Nov 2020, 10:09
Expert Reply
Bunuel wrote:
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of \((p - 7)^2 =\)

A. 64
B. 66
C. 68
D. 70
E. 72


To find the least possible value of \((p - 7)^2\), we want p to be as close as possible to 7. The values are quite big so we want to take the minimum possible average, 29. Then p = 29*3 - 31 - 41 = 87 - 72 = 15. Finally \((p - 7)^2 = 8^2 = 64\).

Ans: A
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4689 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If the average (arithmetic mean) of 31, 41, and p is between 29 and 47 [#permalink] New post   12 Nov 2020, 10:29
Bunuel wrote:
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of \((p - 7)^2 =\)

A. 64
B. 66
C. 68
D. 70
E. 72

\(\frac{31 + 41 + p}{3} = 29\)

Or, \(72 + p = 87\)

Or, \(p = 15 \)

So, \((p - 7)^2 = 64\), Answer must be (B)
GMAT Club Bot
gmatclubot
Re: If the average (arithmetic mean) of 31, 41, and p is between 29 and 47 [#permalink]
12 Nov 2020, 10:29
Moderators:
Bunuel
Math Expert
92912 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 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