Question

If \( q \) is a positive integer, which of the following is an odd positive integer?

• A. \( 6q + 1 \)
• B. \( 6q + 2 \)
• C. \( 6q + 4 \)
• D. \( 6q + 6 \)

Hint:

An even number is divisible by 2, while an odd number is of the form \( 2k+1 \).

Answer 1

The Correct Option is A

An odd number is of the form \( 2k + 1 \).
Checking each option:
- \( 6q + 2 \) is even.
- \( 6q + 4 \) is even.
- \( 6q + 6 \) is even.
- \( 6q + 1 \) is always odd.
Thus, \( 6q + 1 \) is the correct choice.