If n is any odd number greater than 1, t...

If n is any odd number greater than 1, then `n\ (n^2-1)` is divisible by 24 always (b) divisible by 48 always (c) divisible by 96 always (d) None of these

Text Solution

AI Generated Solution

Topper's Solved these Questions

LOGARITHMS
RS AGGARWAL|Exercise All Questions|105 Videos
ODD MAN OUT AND SERIES
RS AGGARWAL|Exercise All Questions|81 Videos

Similar Questions

Explore conceptually related problems

If n is a whole number greater than 1, then n^(2)(n^(2)-1) is always divisible by 8 (b) 10 (c) 12 (d) 16

3^(2n)+24n-1 is divisible by 32 .

A number is always divisible by 180, if

If n is natural number (greater than one) then (392)^n - (392)^(n -1) is not divisible by :

5^(2n)-1 is divisible by 24 for all n varepsilon N

If n is an odd integer, then show that n^(2) - 1 is divisible by 8

If n is an odd positive integer,show that (n^(2)-1) is divisible by 8.

RS AGGARWAL-NUMBER SYSTEM-All Questions

The largest natural number, which exactly divides the product of an...
Text Solution
|
If n is a whole number greater than 1, then n^2(n^2-1) is always divis...
Text Solution
|
If n is any odd number greater than 1, then n\ (n^2-1) is divisible b...
Text Solution
|
The sum of digits of a 3-digit number is subtracted from the number...
Text Solution
|
A number is multiplied by 11 and 11 is added to the product. If the...
Text Solution
|
The product of any three consecutive natural numbers is always divis...
Text Solution
|
The sum of three consecutive odd numbers is always divisible by I....
Text Solution
|
The greatest number by which the product of three consecutive multi...
Text Solution
|
If p is a prime number greater than 3, then (p^2-1) is always divisibl...
Text Solution
|
The difference between the squares of two consecutive odd integers ...
Text Solution
|
A 4-digit number is formed by repeating a 2-digit number such as 25...
Text Solution
|
A 6-digit number is formed by repeating a 3-digit number: for examp...
Text Solution
|
The sum of the digits of a natural number (10^n-1) is 4707, where n is...
Text Solution
|
(x^n-a^n) is divisible by (x-a) for all values of n (b) only for even...
Text Solution
|
Which one of the following is the number by which the product of 8 ...
Text Solution
|
Consider the following statements: For any positive integer n, the ...
Text Solution
|
If n is any positive integer, 3^(4n)-4^(3n) is always divisible by 7 ...
Text Solution
|
If the square of an odd natural number is divisible by 8, then the ...
Text Solution
|
The largest number that exactly divides each number of the sequence...
Text Solution
|
The difference of the squares of two consecutive even integers is d...
Text Solution
|