Last visit was: 22 Apr 2026, 23:19 It is currently 22 Apr 2026, 23:19
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
avaneeshvyas
Joined: 11 Jul 2012
Last visit: 05 Dec 2017
Posts: 32
Own Kudos:
Given Kudos: 25
GMAT 1: 650 Q49 V29
GMAT 1: 650 Q49 V29
Posts: 32
Kudos: 243
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EvaJager
Joined: 22 Mar 2011
Last visit: 31 Aug 2016
Posts: 513
Own Kudos:
Given Kudos: 43
WE:Science (Education)
Posts: 513
Kudos: 2,370
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
avaneeshvyas
Joined: 11 Jul 2012
Last visit: 05 Dec 2017
Posts: 32
Own Kudos:
Given Kudos: 25
GMAT 1: 650 Q49 V29
GMAT 1: 650 Q49 V29
Posts: 32
Kudos: 243
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
EvaJager
Joined: 22 Mar 2011
Last visit: 31 Aug 2016
Posts: 513
Own Kudos:
Given Kudos: 43
WE:Science (Education)
Posts: 513
Kudos: 2,370
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avaneeshvyas
EvaJager
avaneeshvyas
The average of the first 5 terms of a set of numbers(S) is 6. If S has 12 terms and the average of the Set S is 7.5, find the average of the first 7 terms.

a)8.5
b)8.4
c)8.6
d)8.3
e)None Of these

The numbers in the given set must be ordered increasingly, otherwise the question makes no sense.

The sum of all the numbers in the set is 7.5 * 12 = 90, and the sum of the last 7 numbers is 90 - 5*6 = 60.
Therefore, the average of the last 7 numbers is 60/7. It follows that the 6th and the 7th number in the set must be no greater than 60/7.
Then the average of the first 7 numbers is at most (30 + 2*60/7)/7 = 330/49 < 8.

Answer E.


The question is worded the way it is typed. As far as the solution goes can we think of it as follows:
the Avg. of the last 8 terms is 60/7(As mentioned in the post above..)
Since the Avg. of the first 5 terms is 6, that means there is a deficit of 1.5 per number or (1.5*5)7.5 in total.
so the last 8 numbers should be not less than 60/7+7.5/7 = 67.5/7

Is the assumption in my solution wrong in someway...please point it out

I guess you meant 7 instead of 8 above.

The question is about the average of the first 7 numbers. What are you trying to deduce about the last 8 numbers? Or should be 7?

Sum of the first 5 numbers is 30. Sum of the last 7 numbers is 60 and their average is 60/7.
The 6th and 7th numbers in the set cannot be larger than the average of the last 7 numbers - we assumed that the numbers are ordered increasingly.
The average of a set of numbers is always between the smallest and the largest number of the set.
In order to estimate the average of the first 7 numbers, we have to get some information about the 6th and the 7th numbers.
And we found that neither can be greater than 60/7, which is enough to compare the average of the first 7 numbers to those given in the answers.
avatar
niharika1001
Joined: 30 Apr 2015
Last visit: 25 Aug 2015
Posts: 4
Own Kudos:
Given Kudos: 2
Posts: 4
Kudos: 9
Kudos
Add Kudos
Bookmarks
Bookmark this Post
The average of the first 5 numbers in a set consisting of 12 numbers is 6,while the average of all the other numbers in the set is 7.5. What is the average of the first 7 numbers?
A. 8.4
B. 8.5
C. 8.6
D. 8.7
E. None of these
User avatar
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
Own Kudos:
Given Kudos: 816
Concentration: Finance, Strategy
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
GMAT 1: 750 Q49 V44
Posts: 2,319
Kudos: 3,889
Kudos
Add Kudos
Bookmarks
Bookmark this Post
niharika1001
The average of the first 5 numbers in a set consisting of 12 numbers is 6,while the average of all the other numbers in the set is 7.5. What is the average of the first 7 numbers?
A. 8.4
B. 8.5
C. 8.6
D. 8.7
E. None of these

Please follow the posting guidelines for the forum.

Search for a question before posting.

This particular question has been marked as "poor quality".

Topics merged.

This Question is Locked Due to Poor Quality
Hi there,
The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
Looking for better-quality questions? Check out the 'Similar Questions' block below for a list of similar but high-quality questions.
Want to join other relevant Problem Solving discussions? Visit our Problem Solving (PS) Forum for the most recent and top-quality discussions.
Thank you for understanding, and happy exploring!
Moderators:
Math Expert
109763 posts
Tuck School Moderator
853 posts