In an examination, there are three subjects A, B and C. A student has to pass in each subject. 20% students failed iv A, 22% students failed in B and 16% failed in C. The total number of students passing the whole examination lies between

To find the range of students passing the whole examination, we calculate the minimum and maximum possible overlaps:

• Minimum Pass Percentage: This occurs if we assume the sets of students failing each subject are mutually exclusive (no student fails more than one subject). Total failure percentage = 20% (A) + 22% (B) + 16% (C) = 58%. The minimum pass percentage is 100% - 58% = 42%.
• Maximum Pass Percentage: A student passes only if they pass A, B, and C. The pass rates are 80%, 78%, and 84% respectively. The maximum number of students who can pass all three is limited by the subject with the fewest passes. Thus, the maximum pass percentage is 78%.

The percentage of students passing the whole examination lies between 42% and 78%.