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The Product of Any Three Consecutive Natural Number is Divisible by 6 (True/False). - Mathematics

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Question

The product of any three consecutive natural number is divisible by 6 (True/False).

Numerical

Solution

The product of any three natural numbers is divisible by 6.

True

Reason:

Let the three consecutive natural numbers be 1,2 and 3.

Their product is 6, which is divisible by 6

Let the other set of three consecutive natural numbers be 3, 4 and 5.

Their product is 60, which is divisible by 6

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Chapter 1: Real Numbers - Exercise 1.7 [Page 58]

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RD Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.7 | Q 24 | Page 58

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