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Question 7

The product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.


Solution

Among the three consecutive numbers, there must be one even number and one multiple of 3.
As 6 = 2 x 3, thus the product must be multiple of 6.
Example:  (i) 2×3×4=24
                 (ii) 4×5×6=120

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