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Q.

Is it true that the product of three consecutive numbers is always divisible by 6?

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a

True

b

False

answer is A.

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Detailed Solution

The given number is 6.
When any number is divisible by 2 and 3, then this number is divisible by 6 also.
The numbers ending with 0, 2, 4, 6, or 8 are divisible by 2 and if the sum of numbers are divisible by 3, then the number is also divisible by 3.
Multiply the three consecutive numbers,
2 × 3 × 4 = 24
Since the number 24 ends with 0, it is divisible by 2.
Now, adding the digits of 24:
2+4=6
As we can see, 6 is divisible 3. Hence, the product of three consecutive numbers is divisible by 6 and thus the given statement is true.
Therefore, option 1 is correct.

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Is it true that the product of three consecutive numbers is always divisible by 6?