If a number is divided by 15 and gives a remainder of 7, what will be the remain

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Question: If a number is divided by 15 and gives a remainder of 7, what will be the remainder when this number is divided by 3?

Options:

Correct Answer: 1

Solution:

The remainder when the number is divided by 3 is 1, since 7 mod 3 = 1.

If a number is divided by 15 and gives a remainder of 7, what will be the remainder when this number is divided by 3?

If a number is divided by 15 and gives a remainder of 7, what will be the remainder when this number is divided by 3?

Step 1: Understand that when a number is divided by 15 and gives a remainder of 7, it can be expressed as: number = 15k + 7, where k is some integer.
Step 2: To find the remainder when this number is divided by 3, we can simplify the expression: number = 15k + 7.
Step 3: Calculate 15k mod 3. Since 15 is divisible by 3, 15k mod 3 = 0.
Step 4: Now calculate 7 mod 3. When you divide 7 by 3, the remainder is 1 (because 3 goes into 7 two times, which is 6, and 7 - 6 = 1).
Step 5: Combine the results: (15k mod 3) + (7 mod 3) = 0 + 1 = 1.
Step 6: Therefore, the remainder when the original number is divided by 3 is 1.

Modular Arithmetic – Understanding how remainders work when dividing numbers.
Division and Remainders – Applying the concept of division to find remainders in different bases.