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Question


Ron has prepared the annual result for math and chemistry of the 100 students he teaches. He has calculated the number of students who will pursue higher studies in both subjects.

If at least 50% marks are required in a subject for higher studies, help Ron find out how many more students will be able to pursue higher studies in chemistry compared to math?

A
11
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B
21
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C
15
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D
12
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Solution

The correct option is A 11

For higher studies, at least 50% marks in a subject are required.

So, 50% of 100 marks
=50100×100 =50 marks

So, for a student to pursue higher study, they should score 50 marks out of 100.

In chemistry:
Number of students who have scored 50 marks and above = 32

In math:
Number of students who have scored 50 marks and above = 21

So, the number of students going for higher studies in chemistry compared to math is:
= 32 21 = 11

Hence, 11 more students will study chemistry.


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n(A∪B) = n(A) + n(B) − n(A∩B)
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