Let `n` be a natural number such that `1/2+1/3+1/7+1/n` is also a natural number. Which of the following statements is not true? (a) 2 divides `n` (b) 3 divides `n` (c) 7 divides `n\ ` (d) `n gt 84`

Let n be a natural number such that (1)/(2)+(1)/(3)+(1)/(7)+(1)/(n) is also a natural number. Which of the following statements is not true? (a) 2 divides n( b) 3 divides n( c) 7 divides n backslash (d) n>84

Find all natural numbers n such that 1+[ sqrt(2n)] divides 2n.

If n is a natural number gt 2 , such that z^(n) = (z+1)^(n) , then

If n is a natural number, then which of the following is not always divisible by 2? 1.) n^2-n 2.) n^3-n 3.) n^2-1 4.) n^3-n^2

The least positive integer n such that 2 divides n,3 divides n+1,4 divides n+2,5 divides n+3 and 6 divides n+4 is

Let x_(n)=(2^(n)+3^(n))^(1//2n) for all natural number n. Then

The greatest natural number which divides n(n+1)(2n+1), AA n in N is

If n is a natural number then show that 1.3.5.7…..(2n-1) = ((2n)!)/(2^n n!)

When n!+1 is divided by any natural number obtained is between 2 and n then remainder is