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:

To get an odd integer, add 1 to an even expression.

Answer 1

The Correct Option is A

Step 1: We need to find which expression results in an odd integer. Since \( q \) is a positive integer, the term \( 6q \) is always even. Adding 1 to an even number results in an odd number. Thus, the correct answer is \( 6q + 1 \), which is an odd integer.