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

(A) q (B) q +1

(C) 2g (D) 2q +1

Solution:

Option(D) i.e. 2q+1

Explanation:

Those integers which are not divisible by 2 are odd integers.

As a result, it can be said that every integer that is a multiple of 2 must be an even integer, whereas 1 added to every integer which is multiplied by 2 must be an odd integer.

Now, it can be concluded that,

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

(2 × q)+1 = 2q+1.

Hence, option (D) is the correct answer.