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# Of the 50 students in a school, 30 have brown hair, 21 have blue eyes,

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Math Expert
Joined: 02 Sep 2009
Posts: 51263
Of the 50 students in a school, 30 have brown hair, 21 have blue eyes,  [#permalink]

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02 Jul 2018, 23:08
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:57) correct 11% (01:22) wrong based on 42 sessions

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Of the 50 students in a school, 30 have brown hair, 21 have blue eyes, and 9 have both brown hair and blue eyes. How many students have neither brown hair nor blue eyes?

A. 5

B. 6

C. 7

D. 8

E. 10

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Joined: 31 Oct 2013
Posts: 886
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Re: Of the 50 students in a school, 30 have brown hair, 21 have blue eyes,  [#permalink]

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03 Jul 2018, 01:13
Bunuel wrote:
Of the 50 students in a school, 30 have brown hair, 21 have blue eyes, and 9 have both brown hair and blue eyes. How many students have neither brown hair nor blue eyes?

A. 5

B. 6

C. 7

D. 8

E. 10

Total : 50 students

only brown hair: 30 - 9 = 21
Only blue eyes: 21- 9 = 12
both = 9

so the number of students with either blue eyes or brown hair or both = 9 + 12 + 21 = 42
so, students have neither blue eyes nor brown hair = 50 - 42 = 8

Thus the best answer is D.
Re: Of the 50 students in a school, 30 have brown hair, 21 have blue eyes, &nbs [#permalink] 03 Jul 2018, 01:13
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