The Mystery of Divisibility By 2, 9, and 10

Which number is divisible by 2, 9, and 10?

A. 45

B. 60

C. 90

D. 150

Final Answer:

The number 90 is the only number provided in the options that is divisible by 2, 9, and 10. It meets all criteria for divisibility by these numbers.

Dear student,

It seems like you've encountered a question asking which number is divisible by 2, 9, and 10 among the options given. Let's break down the criteria for divisibility by these numbers:

• Divisibility by 2: The number must be even.
• Divisibility by 10: The number must end in 0.
• Divisibility by 9: The sum of the digits must be a multiple of 9.

Now, looking at the options provided, let's analyze them:

• A. 45 is not divisible by 2 because it is an odd number.
• B. 60 meets the criteria for divisibility by 2 and 10, but not by 9 (sum of digits is 6, not a multiple of 9).
• C. 90 is divisible by 2 (even), 9 (sum of digits is 9), and 10 (ends in 0), making it the correct answer.
• D. 150 is not divisible by 9 (sum of digits is 6).

Therefore, the correct answer is C. 90. This number is the only one among the given options that fulfills the criteria for divisibility by 2, 9, and 10 simultaneously. Keep practicing your divisibility rules to ace future math questions!