In a modular system with modulus 12, what is the result of 15 + 10?

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Question: In a modular system with modulus 12, what is the result of 15 + 10?

Options:

Correct Answer: 5

Solution:

15 + 10 = 25; 25 mod 12 = 1.

In a modular system with modulus 12, what is the result of 15 + 10?

In a modular system with modulus 12, what is the result of 15 + 10?

Step 1: Start with the numbers you want to add: 15 and 10.
Step 2: Add the two numbers together: 15 + 10 = 25.
Step 3: Now, we need to find the result of 25 in a modular system with modulus 12.
Step 4: To do this, divide 25 by 12 and find the remainder.
Step 5: When you divide 25 by 12, you get 2 as the quotient (because 12 goes into 25 two times) and a remainder of 1.
Step 6: The remainder is the result of 25 mod 12.
Step 7: Therefore, 15 + 10 in modulus 12 is equal to 1.

Modular Arithmetic – Understanding how to perform addition and find the remainder when divided by a modulus.