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

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Question

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

True or False
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Solution

This statement is 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 - VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) [Page 1.43]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
VERY SHORT ANSWER TYPE QUESTIONS (VSAQs) | Q 29. | Page 1.43
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