Question

use euclid division lemma 6q+1 or 6q+3 or 6q+5, where q is some integer

Answer 1

Let, a=6q+r Then according to Euclid's division lemma 0<_r<6 , that is 0,1,2,3,4,5 So, a=6q+0 a=6q+2 a=6q+4 The above are given So, 6q+1 or 6q+3 or 6q+5 are odd