Question

for some integers p and 5 , there exist unique q and r such that p=5q + r possible values of r are

Answer 1

Answer:

0,1,2,3,4,

Step-by-step explanation:

a=BQ + r

where 0<r<B

so for some integers is equal to 5q+r

a =5q+0

a=5q+1

a=5q+2

a=5q+3

a=5q+4

Answer 2

Given: $p=5q+r$

If we substitute any value of p and q, the value of r changes.

Let P=15 and q=2

$p=5q+r\\15=5(2)+r\\15=10+r\\r=5$

The Possible value of r depends on the value of p and q.