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# In a social group 62 members enjoy dancing and 28 members enjoy hiking

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Math Expert
Joined: 02 Sep 2009
Posts: 55274
In a social group 62 members enjoy dancing and 28 members enjoy hiking  [#permalink]

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29 Nov 2018, 00:40
00:00

Difficulty:

5% (low)

Question Stats:

96% (01:12) correct 4% (07:09) wrong based on 34 sessions

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In a social group 62 members enjoy dancing and 28 members enjoy hiking. If each of the 75 members in the group enjoys dancing or hiking, how many members enjoy both dancing and hiking?

A. 13
B. 15
C. 28
D. 34
E. 47

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Joined: 31 Oct 2013
Posts: 1356
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: In a social group 62 members enjoy dancing and 28 members enjoy hiking  [#permalink]

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29 Nov 2018, 06:40
1
Bunuel wrote:
In a social group 62 members enjoy dancing and 28 members enjoy hiking. If each of the 75 members in the group enjoys dancing or hiking, how many members enjoy both dancing and hiking?

A. 13
B. 15
C. 28
D. 34
E. 47

Total = A + B - both + Neither

75 = 62 + 28 - both + neither

Both = 90 - 75 = 15

CEO
Joined: 18 Aug 2017
Posts: 3535
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
In a social group 62 members enjoy dancing and 28 members enjoy hiking  [#permalink]

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30 Nov 2018, 11:55
Bunuel wrote:
In a social group 62 members enjoy dancing and 28 members enjoy hiking. If each of the 75 members in the group enjoys dancing or hiking, how many members enjoy both dancing and hiking?

A. 13
B. 15
C. 28
D. 34
E. 47

Really a great question ,, I solved it using 2x2 matrix.. attached. IMO B 15 is correct
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File comment: 2x2 matrix

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In a social group 62 members enjoy dancing and 28 members enjoy hiking   [#permalink] 30 Nov 2018, 11:55
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