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A survey was conducted among 95 students who visited the college cante

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Joined: 25 May 2020
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A survey was conducted among 95 students who visited the college cante  [#permalink]

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New post 25 May 2020, 07:05
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A survey was conducted among 95 students who visited the college canteen everyday. The number of students who preferred tea, coffee or a fruit juice in the break was as follows: coffee : 28; tea and fruit juice : 6; only tea : 35; all three : 4; coffee and fruit juice : 10; tea and coffee : 7; none : 7.

How many preferred only fruit juice?

A. 20
B. 23
C. 25
D. 27
E. 30
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Re: A survey was conducted among 95 students who visited the college cante  [#permalink]

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New post 25 May 2020, 08:06
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itachiuchiha wrote:
A survey was conducted among 95 students who visited the college canteen everyday. The number of students who preferred tea, coffee or a fruit juice in the break was as follows: coffee : 28; tea and fruit juice : 6; only tea : 35; all three : 4; coffee and fruit juice : 10; tea and coffee : 7; none : 7.

How many preferred only fruit juice?

A. 20
B. 23
C. 25
D. 27
E. 30


[Refer attached Image]

Total Students(95) = Total Coffee (full green circle -> 28) + Only Tea(blue shaded part of red circle -> 35) + Only Fruit Juice(non shaded part of white circle-> x) + Tea and Fruit(white line shaded part-> 6) - All three (4) + None (7)
=> 95 = 28 + 35 + x + 6 - 4 + 7 = 72 + x => x = 23
So, Answer will be B
Tip: In overlapping sets with multiple values given it is always a good idea to break the problem into individual values (only A, Only B etc) and solve.

Hope it helps!
Attachments

image.jpg
image.jpg [ 137.86 KiB | Viewed 198 times ]


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A survey was conducted among 95 students who visited the college cante  [#permalink]

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New post 25 May 2020, 08:27
itachiuchiha wrote:
A survey was conducted among 95 students who visited the college canteen everyday. The number of students who preferred tea, coffee or a fruit juice in the break was as follows: coffee : 28; tea and fruit juice : 6; only tea : 35; all three : 4; coffee and fruit juice : 10; tea and coffee : 7; none : 7.

How many preferred only fruit juice?

A. 20
B. 23
C. 25
D. 27
E. 30


Given:
1. A survey was conducted among 95 students who visited the college canteen everyday.
2. The number of students who preferred tea, coffee or a fruit juice in the break was as follows: coffee : 28; tea and fruit juice : 6; only tea : 35; all three : 4; coffee and fruit juice : 10; tea and coffee : 7; none : 7.

Asked: How many preferred only fruit juice?

Attachment:
Screenshot 2020-05-25 at 9.59.10 PM.png
Screenshot 2020-05-25 at 9.59.10 PM.png [ 72.52 KiB | Viewed 216 times ]


The number of students who preferred only fruit juice = 23

IMO B
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A survey was conducted among 95 students who visited the college cante   [#permalink] 25 May 2020, 08:27

A survey was conducted among 95 students who visited the college cante

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