In a certain number, if 12 is added to it, the result is a multiple of 5. Which

₹0.0

Question: In a certain number, if 12 is added to it, the result is a multiple of 5. Which of the following could be the original number?

Options:

Correct Answer: 8

Solution:

If we add 12 to 8, we get 20, which is a multiple of 5.

In a certain number, if 12 is added to it, the result is a multiple of 5. Which of the following could be the original number?

In a certain number, if 12 is added to it, the result is a multiple of 5. Which of the following could be the original number?

Step 1: Understand that we need to find a number that, when 12 is added to it, results in a multiple of 5.
Step 2: A multiple of 5 can be any number like 0, 5, 10, 15, 20, etc.
Step 3: To find the original number, we can subtract 12 from these multiples of 5.
Step 4: For example, if we take 20 (which is a multiple of 5) and subtract 12, we get 8.
Step 5: Check if adding 12 to 8 gives us a multiple of 5: 8 + 12 = 20, and 20 is a multiple of 5.
Step 6: Therefore, 8 could be the original number.

Modular Arithmetic – The question tests the understanding of how numbers behave under addition with respect to divisibility, specifically focusing on multiples of 5.
Number Properties – It assesses the ability to identify numbers that, when modified (in this case, by adding 12), meet specific criteria related to divisibility.