It is currently 02 Jul 2020, 07:29
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 of 5 numbers is 36 and the average of four

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 163

Kudos [?]: 2740 [0], given: 394

If the average of 5 numbers is 36 and the average of four [#permalink] New post 08 Dec 2017, 20:57
Expert's post
00:00

Question Stats:

99% (00:45) correct 0% (00:00) wrong based on 7 sessions
If the average of 5 numbers is 36 and the average of four of those numbers is 34, then what is the value of the fifth number?

A. 2
B. 34
C. 35
D. 36
E. 44

Drill 4
Question: 6
Page: 532

_________________

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

Try our free Online GRE Test

Retired Moderator
User avatar
Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 163

Kudos [?]: 2740 [0], given: 394

Re: If the average of 5 numbers is 36 and the average of four [#permalink] New post 29 Dec 2017, 16:38
Expert's post
Explanation

Use the Average Pie to solve each part of the problem. If the average of 5 numbers is 36, then the sum of those numbers is 180. If the average of four of the numbers is 34, then the sum of those numbers is 136.

Attachment:
new.jpg
new.jpg [ 13.49 KiB | Viewed 1549 times ]


If five numbers add up to 180 and four of those five numbers add up to 136, then the fifth number is the difference between those two sums: 180 – 136 = 44. If you picked choice (A), you found the difference between the two averages, not the fifth number. If you picked choice (C), you found the average of the averages. If you picked either choice (B) or choice (D), you resolved for the average after determining the sum.
_________________

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
GRE Instructor
User avatar
Joined: 10 Apr 2015
Posts: 3504
Followers: 132

Kudos [?]: 3934 [1] , given: 63

CAT Tests
Re: If the average of 5 numbers is 36 and the average of four [#permalink] New post 19 Jan 2020, 07:13
1
This post received
KUDOS
Expert's post
sandy wrote:
If the average of 5 numbers is 36 and the average of four of those numbers is 34, then what is the value of the fifth number?

A. 2
B. 34
C. 35
D. 36
E. 44

Drill 4
Question: 6
Page: 532


Let the five numbers be a, b, c, d, and e

The average of 5 numbers is 36

We can write: \(\frac{a+b+c+d+e}{5}=36\)

Multiply both sides by 5 to get: \(a+b+c+d+e=180\)



The average of four of those numbers is 34

We can write: \(\frac{a+b+c+d}{4}=34\)

Multiply both sides by 4 to get: \(a+b+c+d=136\)



What is the value of the fifth number?
At the moment we have two equations:
\(a+b+c+d+e=180\)
\(a+b+c+d=136\)

When we subtract the bottom equation from the top equation we get: \(e = 44\)

Answer: E

RELATED VIDEO FROM MY COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com
Sign up for my free GRE Question of the Day emails
Image

Re: If the average of 5 numbers is 36 and the average of four   [#permalink] 19 Jan 2020, 07:13
    Similar topics Author Replies Last post
Similar
Topics:
New posts 3 Raymond’s argument cbdscolin 4 18 Mar 2019, 10:54
Display posts from previous: Sort by

If the average of 5 numbers is 36 and the average of four

  Question banks Downloads My Bookmarks Reviews Important topics  


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®.