Question

In an examination, 42% students failed in Mathematics and 52% failed in Science. If 17% failed in both the subjects, find total students if 46 students passed in both

1. 180
2. 360
3. 200
4. 240​

Answer 1

Answer:

The percentage of students who failed in mathematics =42%

The percentage of students who failed science=52%

The percentage of students who failed in both subjects =17%

n(M)=42

n(S)=52

n(B)=17=n(M∩S)

n(M∪S)=n(M)+n(S)−n(B)

=42+52−17

=94−17

=77

The percentage of students who passed both subjects=100−77=23%

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Answer 2

Answer:

180

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