If a number is even, which of the following must also be even?
Practice Questions
Q1
If a number is even, which of the following must also be even?
Its square
Its cube
The sum of it and 2
All of the above
Questions & Step-by-Step Solutions
If a number is even, which of the following must also be even?
Correct Answer: All options
Step 1: Understand what an even number is. An even number is any integer that can be divided by 2 without leaving a remainder. Examples include 0, 2, 4, 6, etc.
Step 2: Identify the options given in the question. We need to check each option to see if it results in an even number when an even number is used.
Step 3: Take an example of an even number, like 2. Now, apply this number to each option provided in the question.
Step 4: For each option, perform the operation using the even number (2) and see if the result is even.
Step 5: If all options result in even numbers when using the even number (2), then we conclude that all options must also be even.
Even Numbers – An even number is any integer that is divisible by 2 without a remainder.
Properties of Even Numbers – The sum, difference, or product of two even numbers is always even.