CAT Question Paper | CAT Verbal Ability Slot
Question :
Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is
Started 1 month ago by Shashank in
Option C
is the correct answer.
Explanatory Answer
We can summarize the information given in the question as per the above Venn diagram.
We can conclude that:
a + c = 5
b + c = 7
Hence, b – a = 2
We have to minimize a + b.
Assuming if a = 0
Then b = 2 & c = 5
Therefore, number of students choosing Chemistry as one subject = 18 + 2 = 20
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