How many beggars received money from odd number of people?
Explanation:
Consider the solution to the first question of this set.
nth beggar will receive money from as many people as the number of factors of n.
∴ Those beggars will receive money from odd number of people whose number has odd number of factors.
Only perfect squares have odd number of factors.
⇒ Beggars with perfect square numbers will receive money from odd number of people.
There are 10 perfect squares from 1 to 100.
Hence, 10.
» Your doubt will be displayed only after approval.
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.