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?
  1. Its square
  2. Its cube
  3. The sum of it and 2
  4. 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.
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