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15 Dec 2018, 10:11
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (02:08) correct
20%
(02:43)
wrong
based on 376
sessions
History
Date
Time
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Not Attempted Yet
In a certain class of 66 students, 30 students study Science, 40 students study Humanities and 40 students study Dance. If all the students studied at least one of the subjects, then what is the maximum possible number of students who study all the three subjects?
A.38
B.35
C.32
D.22
E.20
SchruteDwight
Joined: 03 Sep 2018
Last visit: 30 Mar 2023
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29 Jul 2019, 11:42
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It is actually super easy once you think about it.
1) find the smallest set. That is 30 in this case
2) Choose the largest answer option below 30
3) Move on
1) find the smallest set. That is 30 in this case
2) Choose the largest answer option below 30
3) Move on
General Discussion
16 Dec 2018, 02:12
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science = a+b+d+e = 30
humanities = b+e+c+f = 40
dance = d+e+f+g = 40
(a+b+d+e) + (b+e+c+f) + (d+e+f+g )= 30 + 40 + 40 = 110
(a+b+c+d+e+f+g) + (b+e+d+e+f) = 110
66+(b+d+f+2e) = 110
Now to maximize e, we need to minimize b+d+f
Taking b,e,f, each = 0
2e = 110-66 = 44
e = 22
So, Maximum value of e = 22
Answer D
humanities = b+e+c+f = 40
dance = d+e+f+g = 40
(a+b+d+e) + (b+e+c+f) + (d+e+f+g )= 30 + 40 + 40 = 110
(a+b+c+d+e+f+g) + (b+e+d+e+f) = 110
66+(b+d+f+2e) = 110
Now to maximize e, we need to minimize b+d+f
Taking b,e,f, each = 0
2e = 110-66 = 44
e = 22
So, Maximum value of e = 22
Answer D
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