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 exactly in one of the two subjects?a.35b.40c.60d.55
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 exactly in one of the two subjects?a.35b.40c.60d.55
Solution
To solve this problem, we need to understand that the total number of students who passed in both subjects are subtracted from the total number of students who failed in each subject.
Step 1: Subtract the number of students who passed in both subjects from the total number of students who failed in Mathematics and Statistics.
Mathematics: 30 (failed) - 10 (passed in both) = 20 (failed in only Mathematics) Statistics: 35 (failed) - 10 (passed in both) = 25 (failed in only Statistics)
Step 2: Subtract the number of students who failed in only one subject from the total number of students.
Total students: 70 Failed in only one subject: 20 (Mathematics) + 25 (Statistics) = 45
Step 3: Subtract the number of students who failed in only one subject from the total number of students to find the number of students who passed in exactly one of the two subjects.
70 (total students) - 45 (failed in only one subject) = 25
So, the number of students who passed in exactly one of the two subjects is 25. However, this option is not available in the choices provided. There might be a mistake in the question or the options provided.
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