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Question 11

18 is divisible by both 2 and 3. It is also divisible by 2×3=6. Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by 4×6=24? If not, give an example to justify your answer.

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Solution

No. Number 12 is divisible by both 6 and 4 but 12 is not divisible by 24.
18 is divisible by 2, 3 and their product (6) because 2 and 3 are co-prime numbers.
4 and 6 are not co-prime.


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