In a row of forty children, Panoo is thirteenth from left end and Qanoo is ninth from right end. How many children are there between Panoo and Ranoo if Ranoo is fourth to the left of Qanoo?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 14
Both positions are first written from the same end. In a row of \(n\), position from the left \(=n+1-\) position from the right, because the person is counted once from each end.
Panoo is 13th from the left
Qanoo is 9th from the right, so he is \(40+1-9=32\)nd from the left
Ranoo is 4th to the left of Qanoo, so he is \(32-4=28\)th from the left
Children between the 13th and the 28th \(=28-13-1=14\)
Tip: The number of people between two positions is the difference minus 1; the difference itself, 15, is Option (1).