The product of the predecessor and successor of an odd natural number is always divisible by

(a) 2
(b) 4
(c) 6
(d) 8

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Solution

(d) 8

The predecessor of an odd number is an even number.
The successor of an odd number is also an even number.
These two even numbers are two consecutive even numbers, and the product of two consecutive even numbers is always divisible by 8.

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

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The product of a non-zero whole number and its successor is always

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(a) is an even natural number (b) is an odd natural number
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The product of the predecessor and successor of an odd natural number is always divisible by (a) 2 (b) 4 (c) 6 (d) 8

(d) 8The predecessor of an odd number is an even number.The successor of an odd number is also an even number.These two even numbers are two consecutive even numbers, and the product of two consecutive even numbers is always divisible by 8.

The product of the predecessor and successor of an odd natural number is always divisible by

(a) 2
(b) 4
(c) 6
(d) 8

(d) 8

The predecessor of an odd number is an even number.
The successor of an odd number is also an even number.
These two even numbers are two consecutive even numbers, and the product of two consecutive even numbers is always divisible by 8.