2015 · Q91
In an examination, there are three subjects A, B and C. A student has to pass in each subject. 20% students failed in A, 22% students failed in B and 16% students failed in C. The total number of students passing the whole examination lies between:
general-mental-abilityquantitative-aptitude
- A42% and 84%
- B42% and 78%
- C58% and 78%
- D58% and 84%
Explanation
With 20, 22 and 16 percent failing in A, B and C, the pass percentage is highest (78 percent) when all failures overlap in the 22 percent failing B, and lowest (42 percent) when the failures are entirely distinct (20 + 22 + 16 = 58 failing at least one). Hence the total passing lies between 42 percent and 78 percent.