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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?
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The correct answer is:
$60$
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 $=205-145=60$
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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