If a number is divided by 15 and leaves a remainder of 10, what will be the rema

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Question: If a number is divided by 15 and leaves a remainder of 10, what will be the remainder when this number is divided by 5? (2023)

Options:

Correct Answer: 0

Exam Year: 2023

Solution:

Since 10 is greater than 5, the remainder when 10 is divided by 5 is 0.

If a number is divided by 15 and leaves a remainder of 10, what will be the remainder when this number is divided by 5? (2023)

If a number is divided by 15 and leaves a remainder of 10, what will be the remainder when this number is divided by 5? (2023)

Step 1: Understand that when a number is divided by 15 and leaves a remainder of 10, it can be expressed as: number = 15k + 10, where k is some integer.
Step 2: We need to find the remainder when this number (15k + 10) is divided by 5.
Step 3: Break down the expression: 15k is divisible by 5, so it leaves a remainder of 0 when divided by 5.
Step 4: Now, consider the remainder of 10 when divided by 5.
Step 5: Divide 10 by 5. The result is 2 with a remainder of 0.
Step 6: Combine the results: Since 15k gives a remainder of 0 and 10 gives a remainder of 0, the total remainder when the number is divided by 5 is 0.

Remainders – Understanding how remainders work when dividing numbers.
Divisibility Rules – Applying rules of divisibility to find remainders with different divisors.