100 students appeared for two examinations. 60 of them passed the first, 50 of them passed the second and 30 of them passed both. How many students failed in both the exams?Choices:- 30 40 60 20
Question
100 students appeared for two examinations. 60 of them passed the first, 50 of them passed the second and 30 of them passed both. How many students failed in both the exams?Choices:- 30 40 60 20
Solution
To solve this problem, we first need to understand that the students who passed both exams are counted in both the group that passed the first exam and the group that passed the second exam.
Step 1: We start with the total number of students, which is 100.
Step 2: We then subtract the number of students who passed the first exam (60 students) and the second exam (50 students). 100 - 60 - 50 = -10.
Step 3: However, we have subtracted the students who passed both exams twice, so we need to add them back in once. -10 + 30 (students who passed both exams) = 20.
Therefore, 20 students failed in both the exams. The correct answer is 20.
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