Discussion

Explanation:

If a number is divisible by a and b, it is also divisible by LCM(a, b).

Option (a): A number which is divisible by 12 and 3 is also divisible by LCM(12, 3) = 12.
∴ It cannot be definitely said that the number is divisible by 36.

Option (b): A number which is divisible by 4 and 9 is also divisible by LCM(4, 9) = 36.
∴ Option (b) is definitely true.

Option (c): A number which is divisible by 12 and 9 is also divisible by LCM(12, 9) = 36.
∴ Option (c) is definitely true.

Hence, option (d).

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