Math Olympiad-6

### Author Topic: Math Olympiad-6  (Read 998 times)

#### Mosammat Arifa Akter

• Full Member
• Posts: 186
• Test
##### Math Olympiad-6
« 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
Mosammat Arifa Akter
Senior Lecturer(Mathematics)
General Educational Development
Daffodil International University

#### Saba Fatema

• Sr. Member
• Posts: 304
##### Re: Math Olympiad-6
« Reply #1 on: May 11, 2015, 03:41:02 PM »
nice...
Saba Fatema
Senior Lecturer
Department of GED
FSIT, DIU