"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
Solution
To determine if a number that is not divisible by 3 can be divisible by 9, we can analyze the given statements.
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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., ). However, the reverse is not necessarily true; a number not divisible by 3 cannot be divisible by 9.
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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.
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