Question

In a class of 120 students, each student studies at
least one of the subjects from History, English and
Mathematics. 59 study History, 67 students study
English and 73 Mathematics. 34 students study
Mathematics and History. 26 students English and
Mathematics and 33 students study History and
English
Q.19. How many students study more than one
subject?
a.67
b.65
c.62
d.66​

Answer 1

Answer:

The no of students studying more than one subject is b)65

Answer 2

Concept Introduction: Venn Diagrams are a very good way to express a situation.

Given:

We have been Given: Total students is

$120$

each student studies at

least one of the subjects from History, English and

Mathematics. 59 study History, 67 students study

English and 73 Mathematics. 34 students study

Mathematics and History. 26 students English and

Mathematics and 33 students study History and

English.

To Find:

We have to Find:

How many students study more than one

subject?

Solution:

According to the problem, Students studying more one subject is

$34 + 26 + 33 = 96 \\ \frac{96}{2} = 65$

Final Answer: There the correct answer is

$65$

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