Question

For some integer q , every odd integer is of the form
(a) q (b) q + 1 (c) 2q (d) 2q + 1

Answer 1

We know that, all numbers that are not the multiple of 2 are odd numbers.
Odd integers are ...,−3, −1, 1, 3, 5,...
So, odd numbers can be written as 2m + 1, where m is an integer.
m can be ..., −2, −1, 0, 1, 2,...
∴ 2m + 1 can be ..., −3, −1, 1, 3,...
Hence, the correct answer is option D.