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In a junior college with 500 students, 250 students study Mathematics, and 200 students study Biology. One hundred students study neither Mathematics nor Biology. How many students study both Mathematics and Biology?

In a junior college with 500 students, 250 students study Mathematics, and 200 students study Biology. One hundred students study neither Mathematics nor Biology. How many students study both Mathematics and Biology? Correct Answer 50

The logic is:

Given:

Total students = 500

Students study Mathematics = 250

Students study Biology = 200

Students study neither Mathematics nor Biology = 100

Students study Mathematics, Biology and both the subjects = 500 - 100 = 400........ (i)

250 students study Mathematics and 200 students study Biology = 250 + 200 = 450...... (ii)

Since, students study Mathematics, Biology and both the subjects are 400 (i) given but from (ii) it comes as 450. Therefore, 50 students are studying both Mathematics and Biology as follows:

Students study Mathematics only = 250 - 50 = 200

Students study Biology only = 200 - 50 = 150

Thus, students study both Mathematics and Biology = 450 - 400 = 50

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Hence, 50 is the correct answer.

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