Make sure it maintains the divisibility

Number Theory Level 4

What is the smallest positive integer x x such that x , x − 1 x,x-1 and x − 2 x-2 are each divisible by distinct perfect squares?

For more problems ,click here .


The answer is 9.

Anik Mandal by Anik Mandal , 21, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

9 is divisible by 9, a perfect square. 8 is divisible by 4. 7 is divisible by 1. Therefore x is 9.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

thought fr 9 ...at frst ..but didn't remind of 1 in the case of 7....

tanmay goyal - 6 years, 4 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...