The Hindu Wednesday Opportunities: Smallest Integer

Showing posts with label Smallest Integer. Show all posts

Sunday, 28 December 2014

? ………………………………………………M

It the largest of x consecutive integers is M, what is the smallest?

Answer: M – x + 1

7! ˂ 10⁷ 8! ˂ 10⁸

Which is the smallest integer S so that S! > 10ˢ

Answer: 23! 25,852, 000 000 000 000 000 000

10²³ 100 000 000 000 000 000 000 000

24! 620,450, 000 000 000 000 000 000

10²⁴ 1,000 000 000 000 000 000 000 000

25! 15,511, 000 000 000 000 000 000 000

10²⁵ 10,000 000 000 000 000 000 000 000

Thus the smallest S is 25.

Can you name the smallest integer that can be written with two digits?

Answer: The smallest integer that can be written with two digits is not 10 as one may assume. But it is expressed as follows:

1/1 2/2 3/3 4/4 etc up to 9/9