If a number leaves a remainder of 2 when divided by 5, what will be the remainde

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Question: If a number leaves a remainder of 2 when divided by 5, what will be the remainder when this number is divided by 10? (2023)

Options:

Correct Answer: 2

Exam Year: 2023

Solution:

The number can be expressed as 5k + 2, which when divided by 10 will leave a remainder of 2.

If a number leaves a remainder of 2 when divided by 5, what will be the remainder when this number is divided by 10? (2023)

If a number leaves a remainder of 2 when divided by 5, what will be the remainder when this number is divided by 10? (2023)

Step 1: Understand that the number leaves a remainder of 2 when divided by 5. This means it can be written in the form of 5k + 2, where k is any whole number.
Step 2: Now, we need to find out what happens when we divide this number (5k + 2) by 10.
Step 3: When we divide 5k by 10, it can either be a whole number or leave a remainder, depending on the value of k.
Step 4: Regardless of the value of k, when we add 2 to 5k, the remainder will always be 2 when divided by 10.
Step 5: Therefore, the remainder when the number is divided by 10 is 2.

Modular Arithmetic – Understanding how remainders work when dividing numbers by different bases.
Algebraic Representation – Expressing numbers in a form that makes it easier to analyze their properties under division.