I've chosen a two-digit positive integer n (i.e. 10 - 99) and tell its first digit to Ojas, its second digit to Paddy, and its digit sum to Quentin. The following conversation occurs, in which all three of them have perfect deduction skills, and "only now" means since the previous piece of knowledge:

Paddy: "The number isn't prime."
Ojas: "It isn't a perfect square."
Paddy: "I'm not sure if it is a triangle number or not."
Quentin: "I know what it is. But only now."
Ojas: "I only now know what it is."

What is n?

Ojas, Paddy and Quentin are playing a game of Digit Deduction. The first person (who is Ojas) has chosen the number 25 and told its best essay writing service digit sum to Quentin; the second person (Paddy) then tells that same integer's last two digits to both Ojas and Quentin.

Posted by Dewey Allen on 2021-07-13 22:50:11