If the sum of two numbers is a multiple of 10, which of the following can be inf

Practice Questions

Q1
If the sum of two numbers is a multiple of 10, which of the following can be inferred?
  1. Both numbers are even.
  2. Both numbers are odd.
  3. At least one number is even.
  4. At least one number is odd.

Questions & Step-by-Step Solutions

If the sum of two numbers is a multiple of 10, which of the following can be inferred?
  • Step 1: Understand what a multiple of 10 is. A multiple of 10 is any number that can be divided by 10 without a remainder, like 10, 20, 30, etc.
  • Step 2: Recognize that numbers can be either even or odd. Even numbers are divisible by 2, while odd numbers are not.
  • Step 3: Consider the possible combinations of two numbers (even and odd) and their sums.
  • Step 4: If both numbers are odd, their sum will be even (odd + odd = even). However, an even number can only be a multiple of 10 if it ends in 0.
  • Step 5: If one number is even and the other is odd, their sum will be odd (even + odd = odd). An odd number cannot be a multiple of 10.
  • Step 6: If both numbers are even, their sum will also be even (even + even = even), which can be a multiple of 10.
  • Step 7: Conclude that for the sum of two numbers to be a multiple of 10, at least one of the numbers must be even.
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