In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in <strong>ONLY</strong> one subject, 110 passed in <strong>ONLY</strong> two subjects and 10 passed in <strong>NONE</strong> of the subjects. How many passed in <strong>ALL</strong> three subjects?
- A. 60 ✓
- B. 55
- C. 40
- D. 35
Correct Answer: A. 60
Explanation
The total number of students passing at least one subject is 240 - 10 = 230. The students can be divided into those passing exactly one, exactly two, and exactly three subjects. Therefore, n(1) + n(2) + n(3) = 230. Substituting the given values, we get 60 + 110 + n(3) = 230, giving n(3) = 60.
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