It is currently 15 Nov 2018, 11:29
My Tests

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.

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
If the average (arithmetic mean) of 31, 41, and p is between [#permalink] New post 09 Dec 2017, 18:21
Expert's post
00:00

Question Stats:

100% (01:24) correct 0% (00:00) wrong based on 1 sessions
If the average (arithmetic mean) of 31, 41, and p is between 29 and 47, inclusive, what is the least possible value of \((p - 7)^2 =\)

Drill 2
Question: 6
Page: 525


[Reveal] Spoiler: OA
64

_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

1 KUDOS received
Intern
Intern
Joined: 26 Aug 2017
Posts: 31
Followers: 0

Kudos [?]: 17 [1] , given: 7

Re: If the average (arithmetic mean) of 31, 41, and p is between [#permalink] New post 15 Dec 2017, 07:24
1
This post received
KUDOS
I think there's a typo in the question. It should be \((p - 7)^2\).

Solution:

To get the least possible value of p, we need p to be as close to 7 as possible.

Of course, because p is contingent on the average, we should form an equation for that:

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

\(p = 3(X) - 72\)

X can be anywhere from 29 to 47 inclusive, but 29 gives the closest possible value to 7, which is 15. The answer is then (15-7)^2 = 64.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: If the average (arithmetic mean) of 31, 41, and p is between [#permalink] New post 15 Dec 2017, 09:54
Expert's post
You are right!

Fixed it! Thanks
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

CAT Tests
Re: If the average (arithmetic mean) of 31, 41, and p is between [#permalink] New post 29 Dec 2017, 13:27
Expert's post
Explanation

To find the least possible value of p, work with the lowest possible average, 29.

Draw an Average Pie. You have 3 values with an average of 29, so your total is 3 × 29 = 87. Now you know that 31 + 41 + p = 87, so p = 15, and (p — 7)2 = 64.

Hence 64 is the correct answer.
_________________

Sandy
If you found this post useful, please let me know by pressing the Kudos Button

Try our free Online GRE Test

Re: If the average (arithmetic mean) of 31, 41, and p is between   [#permalink] 29 Dec 2017, 13:27
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


cron

GRE Prep Club Forum Home| About| Terms and Conditions and Privacy Policy| GRE Prep Club Rules| Contact

Powered by phpBB © phpBB Group

Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.