Daffodil International University

Educational => Mathematics => Topic started by: Mosammat Arifa Akter on April 21, 2015, 11:54:04 PM

Title: Math Olympiad-6
Post by: Mosammat Arifa Akter on April 21, 2015, 11:54:04 PM
6. A positive integer is called “Fantabulous” if there is another fantabulous positive integer smaller than it. Find the number of fantabulous integers.

Answer: Let x be the smallest Fantabulous number. Due to condition we know that it is a positive integer. The smallest positive integer is 1. So x=1. All other Fantabulous numbers will be valid if 1 is a valid Fantabulous number. But there is no smaller positive integers than 1. So 1=x can not be a Fantabulous number. So there are no valid Fantabulous numbers at all. Ans=0
Title: Re: Math Olympiad-6
Post by: Saba Fatema on May 11, 2015, 03:41:02 PM
nice...