Question

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

• A. $q$
• B. $q+1$
• C. $2q$
• D. $2q+1$

Answer 1

The correct option is D

$2q+1$

Form of Odd Integers:

Odd integers are the integers that are not divisible by $2$.

Hence, we observe 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, we note that,

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

$(2\times q)+1=2q+1$.

Hence, option $\left(D\right)$ is the correct answer.