In an examination, 35% students failed in English, 30% failed in Mathematics and 20% failed in both. If the total number of students passing in both subjects is 550, find the total number of students. MCQ with Answer and Explanation

In an examination, 35% students failed in English, 30% failed in Mathematics and 20% failed in both. If the total number of students passing in both subjects is 550, find the total number of students.
A. 900
B. 1000
C. 800
D. 1100
Answer: Option B
Solution (By JKExamLibrary)
Failed in at least one = 35+30-20 = 45%. Passed in both = 55% = 550 → total = 550/0.55 = 1000.

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