If `9^7+7^9` is divisible b `2^n ,` then find the greatest value of `n ,w h e r en in Ndot`

Find the value of x^3+7x^2-x+1,\ w h e n\ x=1+2idot

Find the sum of n terms of the sequence (a_n),w h e r e a_n=5-6n ,n in Ndot

Find the least value of n such that (n-2)x^2+8x+n+4>0,AAx in R ,w h e r en in Ndot

Statement 1: 3^(2n+2)-8n-9 is divisible by 64 ,AAn in Ndot Statement 2: (1+x)^n-n x-1 is divisible by x^2,AAn in Ndot

Consider the number N = 8 7 a 2 7 9 3 1 b , where b is digit at unit's place and a is a digit at ten lac place. Answer the following questions. The greatest value of b which N is divisible by 8 is

If 10^n+3xx4^(n+2)+lambda is divisible by 9 or all n N , then the least positive integral value of lambda is a. 5 b. 3 c. 7 d. 1

If (m-5, n + 3) = (7, 9), find the values of m and n.

If ^n C_r=84 , and ^n C_(r-1)=36 , and r = 1 , then find the value of ndot

If n in N , then 3^(2n)+7 is divisible by

Consider the number N= 7 7 4 9 5 8 P 9 6 Q (i) If P=2 and the number N is divisible by 3, then number of possible values of Q islare (ii) If N is divisible by 4, then values of P and Q is/are (iii) If N is divisible by 8 and 9 both, then number of possible ordered pair (P, Q)