Question

For some integer q, every odd integer is of the form 

(A) q (B) q +1  (C) 2g (D) 2q +1

Answer 1

(D) 2q+1

Explanation:

Odd integers are those integers which are not divisible by 2.

Hence, we can say that every integer which is a multiple of 2 must be an even integer, while 1 added to every integer which is multiplied by 2 is an odd integer.

Therefore, let us conclude that,

for an integer ‘q’, every odd integer must be of the form

(2 × q)+1 = 2q+1.

Hence, option (D) is the correct answer.