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In a class of 70 students 30 failed in mathematics and 35 failed in statistics. 10 students passed in both the subjects. How many students passed only in mathematics?a.40b.30c.20d.15

Question

In a class of 70 students 30 failed in mathematics and 35 failed in statistics. 10 students passed in both the subjects. How many students passed only in mathematics?a.40b.30c.20d.15

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Solution

To solve this problem, we need to understand the relationships between the different groups of students.

  1. Total students = 70
  2. Students who failed in mathematics = 30
  3. Students who failed in statistics = 35
  4. Students who passed in both subjects = 10

First, let's find out how many students passed in each subject:

  1. Students who passed in mathematics = Total students - Students who failed in mathematics = 70 - 30 = 40
  2. Students who passed in statistics = Total students - Students who failed in statistics = 70 - 35 = 35

Now, we know that 10 students passed in both subjects. Therefore, the number of students who passed only in mathematics is the total number of students who passed in mathematics minus the students who passed in both subjects:

Students who passed only in mathematics = Students who passed in mathematics - Students who passed in both subjects = 40 - 10 = 30

So, the answer is b. 30.

This problem has been solved

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