If n is an even number- then the product of its successor and predecessor nbsp-a- is an even natural number nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- -b- is an odd natural number-c- can be even or odd nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- nbsp- -d- None of these

Here, n is an even number. Successor of n = n + 1 Predecessor of n = n nbsp; minus; 1 Product = (n + 1) #215; (n minus; 1) = odd #215; odd = odd Th ...

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Standard IV

Mathematics

Predecessor and Successor

If n is an ev...

Question

If n is an even number, then the product of its successor and predecessor
(a) is an even natural number (b) is an odd natural number
(c) can be even or odd (d) None of these

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Solution

Here, n is an even number.
Successor of n = n + 1
Predecessor of n = n − 1
Product = (n + 1) $×$ (n − 1) = odd $×$ odd = odd
Thus, the product of the successor and the predecessor of n is an odd natural number.
Hence, the correct option is (b).

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If n is an even number, then the product of its successor and predecessor (a) is an even natural number (b) is an odd natural number (c) can be even or odd (d) None of these

Here, n is an even number. Successor of n = n + 1 Predecessor of n = n − 1 Product = (n + 1) × (n − 1) = odd × odd = odd Thus, the product of the successor and the predecessor of n is an odd natural number. Hence, the correct option is (b).

If n is an even number, then the product of its successor and predecessor
(a) is an even natural number (b) is an odd natural number
(c) can be even or odd (d) None of these

Here, n is an even number.
Successor of n = n + 1
Predecessor of n = n − 1
Product = (n + 1) $×$ (n − 1) = odd $×$ odd = odd
Thus, the product of the successor and the predecessor of n is an odd natural number.
Hence, the correct option is (b).