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Question 33

The greatest number which always divides the product of the predecessor and successor of an odd natural number other than 1, is

(A) 6
(B) 4
(C) 16
(D) 8
 


Solution

Let an odd natural number other than 1 be 3.
Then, predecessor of 3 = 3-1 = 2
and successor of 3 = 3+1 = 4 
Their product  = 2×4=8
Similarly, you can check for any other odd number.

Hence, the greatest number which always divides the product of predecessor and successor of an odd natural number other than 1, is 8.
 

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