Last visit was: 01 May 2026, 09:50 It is currently 01 May 2026, 09:50
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
BLTN
Joined: 25 Aug 2020
Last visit: 19 Dec 2022
Posts: 227
Own Kudos:
290
 [56]
Given Kudos: 214
Posts: 227
Kudos: 290
 [56]
2
Kudos
Add Kudos
54
Bookmarks
Bookmark this Post
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 01 May 2026
Posts: 5,991
Own Kudos:
5,865
 [4]
Given Kudos: 163
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
GMAT 1: 690 Q50 V34
Posts: 5,991
Kudos: 5,865
 [4]
1
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
User avatar
CEdward
Joined: 11 Aug 2020
Last visit: 14 Apr 2022
Posts: 1,161
Own Kudos:
289
 [1]
Given Kudos: 332
Posts: 1,161
Kudos: 289
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
waritamorn
Joined: 12 Jun 2019
Last visit: 21 Sep 2025
Posts: 1
Own Kudos:
2
 [2]
Given Kudos: 6
Posts: 1
Kudos: 2
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Hi,
number of board = n,
number of comittee = k (k person from n person) ==> k< n
each k send e-mail to board member who was not a member of the committee (n-k)
so total e-mail will be
k*(n-k) = 35 = 7*5

Is this the correct approach?
Thanks
User avatar
Sajjad1994
User avatar
GRE Forum Moderator
Joined: 02 Nov 2016
Last visit: 01 May 2026
Posts: 16,753
Own Kudos:
Given Kudos: 6,342
GPA: 3.62
Products:
Posts: 16,753
Kudos: 51,993
Kudos
Add Kudos
Bookmarks
Bookmark this Post
waritamorn
Hi,
number of board = n,
number of comittee = k (k person from n person) ==> k< n
each k send e-mail to board member who was not a member of the committee (n-k)
so total e-mail will be
k*(n-k) = 35 = 7*5

Is this the correct approach?
Thanks

Yes it is.
User avatar
TargetMBA007
Joined: 22 Nov 2019
Last visit: 20 Mar 2026
Posts: 258
Own Kudos:
Given Kudos: 216
Schools: Stanford (S)
GPA: 4.0
Schools: Stanford (S)
Posts: 258
Kudos: 387
Kudos
Add Kudos
Bookmarks
Bookmark this Post
* Each board member sent 1 email to "each of the other members" and we are given the total no. of emails. So we should ask, what should this total equal to?

Total no. of emails = No. of people sending the emails (k) * no. of people receiving the emails (n-k).
35 = k (n-k).
7*5 = k (n-k), so one of them is a multiple of 5 and one of them is a multiple of 7.
We know k<n, as we are choosing k from n, so k must be 5, which means, n-k=7 or n=12.

Bunuel - Tag: EA
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 01 May 2026
Posts: 109,995
Own Kudos:
Given Kudos: 105,973
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,995
Kudos: 812,308
Kudos
Add Kudos
Bookmarks
Bookmark this Post
TargetMBA007
* Each board member sent 1 email to "each of the other members" and we are given the total no. of emails. So we should ask, what should this total equal to?

Total no. of emails = No. of people sending the emails (k) * no. of people receiving the emails (n-k).
35 = k (n-k).
7*5 = k (n-k), so one of them is a multiple of 5 and one of them is a multiple of 7.
We know k<n, as we are choosing k from n, so k must be 5, which means, n-k=7 or n=12.

Bunuel - Tag: EA
­________________
Done. Thank you!
User avatar
Apk641
Joined: 08 Sep 2024
Last visit: 27 Nov 2025
Posts: 39
Own Kudos:
Given Kudos: 1
Products:
Posts: 39
Kudos: 32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
This problem gave me a lot of trouble at first, but once I stopped focusing only on the math and thought logically about how the 35 emails are created, it clicked.

We’re told each committee member sends emails to everyone not on the committee. So how can we get a total of 35 emails?

The only product that makes sense is 5 × 7 = 35. But 7 isn’t one of the answer choices for n or k... so where is it coming from?

The only way to get it 7 is from 12-5. Now we have this narrowed down to to possible answers once we realize this.

And since the committee must be a subset of the board, k has to be less than n. Therefore n=12, k=5
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,015
Own Kudos:
Posts: 39,015
Kudos: 1,122
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109995 posts
498 posts
215 posts