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Maths-

General

Easy

Question

In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone?

35
48
60
22

The correct answer is: 60

We have,
$c plus e plus f plus g equals 100$
$a plus d plus e plus g equals 70$
$b plus d plus f plus g equals 40$
$e plus g equals 30$
$g plus f equals 28$
$d plus g equals 23$

$g equals 18$
$therefore g equals 18 comma f equals 10 comma e equals 12 comma d equals 15 comma a equals 35 comma b equals 7 comma c equals 60$

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