The greatest positive integer k, for which `81^(k) + 1` is a factor of the sum `9^(350) + 9^(348) …… 9^(4) + 9^(2) + 1`

The greatest positive integer k, for which 81^(k) + 1 is a factor of the sum 9^(350) + 9^(346) …… 9^(4) + 9^(2) + 1

The greatest positive integer for which 13 ^(k)+1 is a factor of the sum 13^(71) + 13 ^(70) + 13 ^(69) +….+ 13+1

The greatest positive integer for which 13 ^(k)+1 is a factor of the sum 13^(71) + 13 ^(70) + 13 ^(69) +….+ 13+1

The greatest +ve integer k, for which 4^k+1 is factor of sum 1+2+2^2+....+2^(99) is

The greatest +ve integer k, for which 4^k+1 is factor of sum 1+2+2^2+....+2^(99) is

Find the value of k for which ( x-1) is a factor of (2x^(3)+9x^(2)+x+k) .

The set of values of k for which x^(2)+(4k-1)x+9>0AA x in R is

9 35. The sum of all positive integers n for which - is also an integer is D) (KVPY-2014, SA + 1 (D) Infinite (A)8 (B)9. (C) 15