If n is a natural number, then 92n – 42n is always divisible by

9 2n – 4 2n is of the form a 2n — b 2n.It is divisible by both a - b and a + b.So, 9 2n – 4 2n is divisible by both 9 - 4 = 5 and 9 + 4 = 13.

Q21 of 124 Page 1

If n is a natural number, then 9²ⁿ – 4²ⁿ is always divisible by

9 2ⁿ – 4 2ⁿ is of the form a 2ⁿ — b 2ⁿ.

It is divisible by both a - b and a + b.

So, 9 2ⁿ – 4 2ⁿ is divisible by both 9 - 4 = 5 and 9 + 4 = 13.

The smallest number by which should be multiplied so as to get a rational number is

The smallest rational number by which 1/3 should be multiplied so that its decimal expansion terminates after one place of decimal, is

If n is any natural number, then 6ⁿ – 5ⁿ always ends with

The LCM and HCF of two rational numbers are equal, then the numbers must be