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GRE Question of The Day:Problem Solving

A club with a total membership of 30 has formed 3 committees, M, S, and R, which have 8, 12, and 5 members, respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the [...]

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Written by Take GRE Team on October 22nd, 2008 with 18 comments.
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A club with a total membership of 30 has formed 3 committees, M, S, and R, which have 8, 12, and 5 members, respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
A 5
B 7
C 8
D 10
E 12

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GRE Question of the Day by Take GRE Team on October 22nd, 2008 with 18 answers.
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18 Answers

Read the answer left by other GRE Takers below, or:

Get your own gravatar by visiting gravatar.com varun
#1. October 12th, 2006, at 9:24 AM.

total
30
committees m s r
people 8 12 5
no of people left out 5
no memeber of m can be member of either s or r
but member of s can be a memeber of r
5 of the people from r can also be member of s there by only 12 + 8 from m are total members hence 5 + 5 a total of 10 people are not member of any committee

D.) 10 !!!!!

Get your own gravatar by visiting gravatar.com Bhagavan
#2. October 12th, 2006, at 7:54 PM.

D 10

Get your own gravatar by visiting gravatar.com arpit
#3. October 16th, 2006, at 5:02 PM.

12

Get your own gravatar by visiting gravatar.com ylmson
#4. October 11th, 2007, at 10:56 AM.

Can it actually be 13 leftovers?

Supposed the 30 people are numbered 1-30.

Can we have the following configuration:
S: No. 1-12 (12 people)
R: No. 1-8 (8 people)
(The 8 people numbered 1-8 are both in S and R)
M: No. 13-17 (5 people)

Altogether, only 17 people out of 30 belong to one of the three committees .. there are 13 people not belonging to any of the three.

Should the last choice be 13 instead of 12?

Get your own gravatar by visiting gravatar.com d.archana
#5. October 11th, 2007, at 6:03 PM.

The answer is (d)
as explained by Varun………

Get your own gravatar by visiting gravatar.com Praj
#6. October 11th, 2007, at 10:25 PM.

D

Get your own gravatar by visiting gravatar.com dhaval
#7. October 12th, 2007, at 8:20 AM.

answer is d

Get your own gravatar by visiting gravatar.com anj
#8. October 12th, 2007, at 11:41 PM.

d

Get your own gravatar by visiting gravatar.com MKTA
#9. October 13th, 2007, at 4:02 AM.

D

Get your own gravatar by visiting gravatar.com JKR
#10. October 13th, 2007, at 4:03 AM.

D

Get your own gravatar by visiting gravatar.com sashank
#11. October 14th, 2007, at 12:02 PM.

d

Get your own gravatar by visiting gravatar.com Angel
#12. October 15th, 2007, at 4:08 PM.

D

Get your own gravatar by visiting gravatar.com vidya
#13. October 22nd, 2007, at 7:40 AM.

d
varun ur xplanation is xcellent. i could not understand last 3 lines plzz xplain. if 5 of the people frm r are mem of s. then comm r has 12+5=17

Get your own gravatar by visiting gravatar.com Francis
#14. October 23rd, 2007, at 8:40 AM.

d

Get your own gravatar by visiting gravatar.com soumya
#15. January 30th, 2008, at 3:16 PM.

d

Get your own gravatar by visiting gravatar.com pc
#16. October 23rd, 2008, at 5:37 AM.

D

Get your own gravatar by visiting gravatar.com gurudutt
#17. October 23rd, 2008, at 3:28 PM.

10

Get your own gravatar by visiting gravatar.com Julie
#18. October 24th, 2008, at 8:54 AM.

D

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