The fractional part of `2^(4n)/15` is `(n in N)` (A) `1/15` (B) `2/15` (C) `4/15` (D) none of these

If the fractional part of the number (2^(403))/(15) is (k)/(15) then k is equal to

The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 (c) 9 (d) 15

If S_n=[1/(1+sqrt(n))+1/(2+sqrt(2n))+....+1/(n+sqrt(n^2))] then (lim)_(n ->oo)S_n is equal to (A) log 2 (B) log4 (C) log8 (D) none of these

The total number of ways in which 2n persons can be divided into n couples is a. (2n !)/(n ! n !) b. (2n !)/((2!)^3) c. (2n !)/(n !(2!)^n) d. none of these

The period of f(x)=[x]+[2x]+[3x]+[4x]+[n x]-(n(n+1))/2x , where n in N , is (where [dot] represents greatest integer function). (a) n (b) 1 (c) 1/n (d) none of these

The sum of first n terms of an A.P. S_n = …..A) n/2 [ t_1 + t_n] B) n/2 [a+(n-1)d] C) n/2 [2 + (n-1)d] D)none of these

If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) n pi+pi/4 (b) npi+pi/8 npi+pi/3 (d) none of these

Volume strength of 1.5 N H_2O_2 is

In the expansion of [(1+x)//(1-x)]^2, the coefficient of x^n will be 4n b. 4n-3 c. 4n+1 d. none of these