`(115)^96-(96)^115` is divisible by (A) 17 (B) 19 (C) 21 (D) 23

For all n inN,3*5^(2n+1)+2^(3n+1) is divisible by (A) 19 (B) 17 (C) 23 (D) 25

For all n in N , 3xx5^(2n+1)+2^(3n+1) is divisible by a. 19 b. 17 c. 23 d. 25

If A=[(2,3),(5,-2)] then 19A^-1 is equal to (A) A\' (B) 2A (C) 1/2 A (D) A

The value of 2(19)/(100) in decimal form is: (a) 2.19 (b) 2.019 (c) 0.219 (d) 21.9

If P = 21(21^2-1^2)(21^2-2^2)(21^2-3^2)...............(21^2-10^2),t h e nP is divisible by a. 22 ! b. 21 ! c. 19 ! d. 20!

Let x,y,z are positive reals and x +y+z=60 and x gt 3. Maximum value of (x-3) (y+1) (z+5) is : (a) (17) (21) (25) (b) (20) (21) (23) (c) (21) (21)(21) (d) (23)(19) (15)

The value of cot sum_(n=1)^(19)(cot^(-1)(1+sum_(p=1)^(n)2p)) is equal to (a) (21)/(19) (b) (19)/(21) (c) -(19)/(21) (d) -(21)/(19)

The value of cotsum_(n=1)^(19)cot^(-1)(1+sum_(p=1)^(n)2p) is equal to (a) (21)/(19) (b) (19)/(21) (c) -(19)/(21) (d) -(21)/(19)

The successor of -22 is (a) -23 (b) -21 (c) 23 (d) 21

If the mode of the data: 16 ,\ 15 ,\ 17 ,\ 16 ,\ 15 ,\ x ,\ 19 ,\ 17 ,\ 14 is 15 , then x= (a) 15 (b) 16 (c) 17 (d) 19