GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 26 Jun 2019, 03:23

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

The average (arithmetic mean) ages, in years, of the people in group A

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55802
The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post 27 Nov 2018, 00:34
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

61% (01:38) correct 39% (01:44) wrong based on 99 sessions

HideShow timer Statistics


The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4

_________________
VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1376
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post 27 Nov 2018, 05:58
Bunuel wrote:
The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4



using allegation method:

41 - 38 = 3

36 - 38 = 2. negative sign must be ignored.

Ratio of the people A and B respectively : 2: 3.

fraction required : 3/ 5.

C is the correct answer.
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3935
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post Updated on: 28 Nov 2018, 07:07
Bunuel wrote:
The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4



GMATinsight :

Sir how to solve this question ? can this be solved using venn diagram?
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.

Originally posted by Archit3110 on 27 Nov 2018, 11:02.
Last edited by Archit3110 on 28 Nov 2018, 07:07, edited 2 times in total.
Manager
Manager
avatar
B
Joined: 02 Oct 2018
Posts: 59
Re: The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post 28 Nov 2018, 06:21
Bunuel wrote:
The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4


selim

I did not understand the 2nd half the question. Could you please elaborate on it?
Intern
Intern
avatar
B
Joined: 19 Jul 2017
Posts: 7
Re: The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post 28 Nov 2018, 09:09
Even i did not get the second part of question. Bunuel could you please explain it.
VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1376
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post 28 Nov 2018, 09:51
1
ParthSanghavi wrote:
Bunuel wrote:
The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4


selim

I did not understand the 2nd half the question. Could you please elaborate on it?



**No people belong to both group.

***we are looking for fraction

*** what fraction of the people in the two groups combined are in group B

Mark these color parts.

In simple words we are looking for the number of people belong to Group B out of all the people who belong to Both A and B.

\(\frac{B}{A + B}\)
VP
VP
User avatar
D
Joined: 09 Mar 2016
Posts: 1274
Re: The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post 28 Nov 2018, 14:49
selim wrote:
Bunuel wrote:
The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4



using allegation method:

41 - 38 = 3

36 - 38 = 2. negative sign must be ignored.

Ratio of the people A and B respectively : 2: 3.

fraction required : 3/ 5.

C is the correct answer.



selim if A = 41 - 38 = 3 and B = 36 - 38 = 2.

the why ratio is 3/5 and not 2/5 ?
VP
VP
User avatar
P
Joined: 31 Oct 2013
Posts: 1376
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
The average (arithmetic mean) ages, in years, of the people in group A  [#permalink]

Show Tags

New post 28 Nov 2018, 16:24
dave13 wrote:
selim wrote:
Bunuel wrote:
The average (arithmetic mean) ages, in years, of the people in group A and group B are 41 and 36, respectively. The average age, in years, of the people in the two groups combined is 38. If there are no people in both group A and group B, what fraction of the people in the two groups combined are in group B?

A. 2/5
B. 1/2
C. 3/5
D. 2/3
E. 3/4



using allegation method:

41 - 38 = 3

36 - 38 = 2. negative sign must be ignored.

Ratio of the people A and B respectively : 2: 3.

fraction required : 3/ 5.

C is the correct answer.



selim if A = 41 - 38 = 3 and B = 36 - 38 = 2.

the why ratio is 3/5 and not 2/5 ?



coz 2 persons belong to group A. but we are looking for B . \(\frac{B}{A+B}\)
GMAT Club Bot
The average (arithmetic mean) ages, in years, of the people in group A   [#permalink] 28 Nov 2018, 16:24
Display posts from previous: Sort by

The average (arithmetic mean) ages, in years, of the people in group A

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne