Question

show that any positive integer in the form of 6q+1 or 6q+3or 6q+5

Answer 1

let a be any positive integer and b=6 such that q and r are integer
when 0,r,b
r can take value
r=0,1,2,3,4,5
using euclid division lemma. a=bq+r
for r=1
a=6q+1
for r=3
a=6q+3
for r=5
a=6q+5