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

Explanation

The question refers to a situation where students must pass all three subjects to pass the whole examination. So, the lower limit of the total passing percentage would be equal to 100% minus the highest individual subject fail rate (22%, subject B). So, 100% – 22% = 78%. This means that at most 78% of students could have passed. For the upper limit, it`s the case where all students who failed did so in multiple subjects and no student failed in only one subject – in other words, the fail percentages of all three subjects count the same students. To determine this scenario, you need to subtract all failure rates from 100%, like this: 100% – 20% (subject A) – 22% (subject B) – 16% (subject C) = 42%. This means that at least 42% of students could have passed. So, the percentage of students passing the whole examination lies between 42% and 78%, which is option 1.