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Four different boards consist of 7, 10, 11, and 15 members.
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02 Oct 2019, 10:53
02 Oct 2019, 10:53
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Four different company boards consist of 7, 10 , 11, and 15 members respectively. If x is the total number of people of the 4 boards combined what is the least possible value of x?
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15
Re: Four different boards consist of 7, 10, 11, and 15 members.
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02 Oct 2019, 15:50
02 Oct 2019, 15:50
Expert Reply
Could you please provide us the OA.
Thank you
Thank you
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: Four different boards consist of 7, 10, 11, and 15 members.
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03 Oct 2019, 08:17
03 Oct 2019, 08:17
2
heytl wrote:
Four different company boards consist of 7, 10 , 11, and 15 members respectively. If x is the total number of people of the 4 boards combined what is the least possible value of x?
KEY CONCEPT: We can minimize the value of x by placing several people on MORE THAN 1 board each.
Let's name the boards A, B, C and D
Given:
There are 7 people on board A
There are 10 people on board B
There are 11 people on board C
There are 15 people on board D
So, for example, if the 15 members of Board D are named #1, #2, #3, #4, #5, ...., #13, #14 and #15, then we can list all of the boards each person is on as follows:
Person #1: D, A, B, C
Person #2: D, A, B, C
Person #3: D, A, B, C
Person #4: D, A, B, C
Person #5: D, A, B, C
Person #6: D, A, B, C
Person #7: D, A, B, C
Person #8: D, B, C
Person #9: D, B, C
Person #10: D, B, C
Person #11: D, C
Person #12: D
Person #13: D
Person #14: D
Person #15: D
We can see that we've addressed all board members.
So, we can meet all of the criteria with as little as 15 people.
Answer: 15
Cheers,
Brent
