Aman ranked eighteenth from the top and twenty-ninth from the bottom among those who passed an examination. Six boys did not participate in the competition and five failed in it. How many boys were there in the class?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 57
Aman’s two ranks are among the boys who passed, and Aman is counted in both ranks, so the number who passed is top rank + bottom rank − 1. The boys who failed or did not take part are then added.
Boys who passed \(=18+29-1=46\)
Boys in the class \(=46+5\) (failed) \(+\ 6\) (did not take part) \(=\) 57