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"If a number is divisible by 9, it is divisible by 3." A number is not divisible by 3. Is it divisible by 9?YesNoMaybe

Question

"If a number is divisible by 9, it is divisible by 3."

A number is not divisible by 3. Is it divisible by 9?
Yes
No
Maybe

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Solution

To determine if a number that is not divisible by 3 can be divisible by 9, we can analyze the given statements.

  1. Understanding the relationship: The statement "If a number is divisible by 9, it is divisible by 3" is true, as 9 is a multiple of 3 (i.e., 9=3×3 9 = 3 \times 3 ). However, the reverse is not necessarily true; a number not divisible by 3 cannot be divisible by 9.

  2. Applying the given information: The question states that the number is not divisible by 3. According to the initial statement, if a number is not divisible by 3, it cannot possibly be divisible by 9, as all multiples of 9 must also be multiples of 3.

Final Answer

No, the number is not divisible by 9.

This problem has been solved

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