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

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

Open in App

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.

Suggest Corrections

Similar questions

Q. The product of the predecessor and successor of an even natural number is

(a) divisible by 2
(b) divisible by 3
(c) divisible by 4
(d) an odd number

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

Question 16
The product of a non-zero whole number and its successor is always

(A) an even number
(B) an odd number
(C) a prime number
(D) divisible by 3

Q. 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

Q. If n is an odd natural number greater than 1, then the product of its successor and predecessor

(a) is an odd natural number (b) is an even natural number

(c) can be even or odd (d) None of these

Join BYJU'S Learning Program

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.

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.