## If $$x$$ and $$y$$ are positive integers, is $$x^{16} - y^8 + 345y^2$$ divisible by $$15?$$

##### This topic has expert replies
Legendary Member
Posts: 1622
Joined: 01 Mar 2018
Followed by:2 members

### If $$x$$ and $$y$$ are positive integers, is $$x^{16} - y^8 + 345y^2$$ divisible by $$15?$$

by Gmat_mission » Sun Jan 23, 2022 1:46 am

00:00

A

B

C

D

E

## Global Stats

If $$x$$ and $$y$$ are positive integers, is $$x^{16} - y^8 + 345y^2$$ divisible by $$15?$$

(1) $$x$$ is a multiple of $$25,$$ and $$y$$ is a multiple of $$20.$$
(2) $$y = x^2$$