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27 Oct 2025, 00:59
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (02:34) correct
38%
(03:18)
wrong
based on 65
sessions
History
Date
Time
Result
Not Attempted Yet
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
A. 20
B. 23
C. 25
D. 27
E. 30
27 Oct 2025, 04:03
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Bunuel
There are a total of 95 students who participated in a survey.
Let I denote COFFEE,
Let II denote TEA, and
Let III denote FRUIT JUICE respectively.
where a = Coffee only,
b = denotes people who have coffe and tea, but not fruit juice.
c = Tea only.
e = denotes the people who had coffee and fruit juice, but not tea.
f = denote the people who had ALL three drinks.
g = denotes the people who had Tea and Fruit juice, but not Coffee.
h = denotes the group who doesn’t have any of the three juices.
Details given are :
a + b + e + f = 28
e + f =10
e =6
f =4
b+f = 7
b = 7-f = 7-4 =3
c = 35
h= None = 7
a + b + e + f =28
a+3+6+4 = 28
a = 15
f+ g = 6
g = 2
Coffee ( a+b+e+f) = 28
28 + 35 + 2 + d + h (none =7) = 95
d = 95 - 28 - 35 - 2 - 7
d = 23
Fruit Juice ONLY = 23
Option B
Attachment:
GMAT-Club-Forum-zg4k6ztj.png [ 9.26 KiB | Viewed 522 times ]
27 Oct 2025, 04:09
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Let's solve this using Venn Diagram:
65+7+x = 95
x = 23
Hence, B
GMAT-Club-Forum-k4mm2h9i.png [ 7.45 KiB | Viewed 396 times ]
GMAT-Club-Forum-zt43htbd.png [ 7.56 KiB | Viewed 482 times ]
65+7+x = 95
x = 23
Hence, B
Attachment:
GMAT-Club-Forum-k4mm2h9i.png [ 7.45 KiB | Viewed 396 times ]
Attachment:
GMAT-Club-Forum-zt43htbd.png [ 7.56 KiB | Viewed 482 times ]
