If an integer m leaves a remainder of 3 when divided by 7, which of the following expressions results in an odd number?

Answer Choices

Correct answer marked below

m + 4

m/2 + 2.5

m - 3

2m + 1

4m + 3

Correct

See the full step-by-step explanation

You can see the correct answer above. Sign in for free to unlock the complete worked solution.

Track your performance and improve

Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.

Start for free Sign in

Explanation

Preview

Official Explanation

Official

Given that m can be expressed as m = 7q + 3 for some integer q, we know that m is odd. Now let's evaluate each option: A. m + 4: Since m is odd, adding 4 (even) results in an odd + even = odd. Thus, this is not correct. B. m/2 + 2.5: Since m is odd, m/2 will be of the form abc.5 (where abc is an integer), so abc.5 +…

Read the full explanation

Create free account Sign in

Comments

IarinaDec 12, 2024

thanks for taking time to upload it!

happimeApr 3, 2025

Thank for sharing!!!

What this question tests

What it tests

Your understanding of divisibility rules, least common multiples, and greatest common factors.

Common trap

Forgetting that 1 is not prime and that every integer divides 0.