Question: If a number is divisible by 7, which of the following is NOT necessarily true?
Options:
It is odd
It is not a prime number
It can be a multiple of 14
It can be a two-digit number
Correct Answer: It is odd
Solution:
A number can be divisible by 7 and still be even, such as 14.
If a number is divisible by 7, which of the following is NOT necessarily true?
Practice Questions
Q1
If a number is divisible by 7, which of the following is NOT necessarily true?
It is odd
It is not a prime number
It can be a multiple of 14
It can be a two-digit number
Questions & Step-by-Step Solutions
If a number is divisible by 7, which of the following is NOT necessarily true?
Step 1: Understand what it means for a number to be divisible by 7. This means that when you divide the number by 7, there is no remainder.
Step 2: Identify examples of numbers that are divisible by 7. For instance, 7, 14, 21, and 28 are all divisible by 7.
Step 3: Check if a number divisible by 7 can be even. An even number is any number that can be divided by 2 without a remainder.
Step 4: Look at the example of 14. It is divisible by 7 (14 ÷ 7 = 2) and it is also even (14 ÷ 2 = 7).
Step 5: Conclude that just because a number is divisible by 7, it does not mean it cannot be even. Therefore, it is NOT necessarily true that a number divisible by 7 must be odd.
Divisibility Rules – Understanding the conditions under which numbers are divisible by other numbers, specifically focusing on the properties of even and odd numbers.
Even and Odd Numbers – Recognizing that even numbers are divisible by 2, while odd numbers are not, and how this relates to divisibility by other numbers.
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