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Which of the following numbers is divisi...

Which of the following numbers is divisible by 9?

A

58556

B

56112

C

49653

D

89445

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given numbers is divisible by 9, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Rule for Divisibility by 9**: A number is divisible by 9 if the sum of its digits is divisible by 9. 2. **List the Numbers**: We will check the following numbers: - A) 58556 - B) 56112 - C) 49653 - D) 89445 3. **Calculate the Sum of Digits for Each Number**: - **For A) 58556**: - Sum: 5 + 8 + 5 + 5 + 6 = 29 - 29 is not divisible by 9. - **For B) 56112**: - Sum: 5 + 6 + 1 + 1 + 2 = 15 - 15 is not divisible by 9. - **For C) 49653**: - Sum: 4 + 9 + 6 + 5 + 3 = 27 - 27 is divisible by 9. - **For D) 89445**: - Sum: 8 + 9 + 4 + 4 + 5 = 30 - 30 is not divisible by 9. 4. **Identify the Divisible Number**: From our calculations, only the sum of the digits of **C) 49653** is divisible by 9. ### Conclusion: The number that is divisible by 9 is **C) 49653**.
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