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  • The product of two consecutive positive integer is divisible by 2”. Is this statement true or falseJustify your answer.

The product of two consecutive positive integer is divisible by 2”. Is this statement true or false”? Justify your answer.

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The above statement is true in all the conditions. Consider a number P = q (q + 1)
  If q is odd then q+ 1 will be even, hence P will be divisible by 2.
If q is even then q+ 1 will be odd, but P will be divisible by 2.
For example:
let us take numbers  2 and 3: 
product is 2 x 3 = 6 which is divisible by 2
Hence given statement is true
 

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