205 students take an examination of whom 105 pass in English, 70...

205 students take an examination of whom 105 pass in English, 70 students pass in Mathematics and 30 students pass in both. How many students fail in both subjects?

Options

A $60$
B $145$
C $175$
D $30$

Correct answer

A. $60$

Step-by-step solution

Total number of students

=205

Number of students passed in Math

=70

Number of students passed in English

=105

and number of students pass in both

=30

Now, Number of students passed in Math or English. = Number of students passed in Math + Number of student passed in English - Number of students passed in both

=70+105-30=145

So, number of students fail in both subjects = Total number of students - Students passed in Math or English

=205-145=60

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