If `1^2+2^2+3^2+n^2=1015` then the value of n is equal to (A) 13 (B) 14 (C) 15 (D) none of these

((-3)/2)^(-1) is equal to (a) 2/3 (b) 2/3 (c) 3/2 (d) none of these

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 A=[(1,1),(1,0)] and n epsilon N then A^n is equal to (A) 2^(n-1)A (B) 2^nA (C) nA (D) none of these

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

If for a square matrix A,A^2=A then |A| is equal to (A) -3 or 3 (B) -2 or 2 (C) 0 or 1 (D) none of these

If .^(20)C_(n+1) = ^ (n) C_(16) , then the value of n is a.7 b. 10 c. 13 d. None of these

If L= lim_(ntooo) (2xx3^(2)xx2^(3)xx3^(4)...xx2^(n-1)xx3^(n))^((1)/((n^(2)+1))) , then the value of L^(4) is _____________. (a) -1/4 (b) 1/2 (c) 1 (d) none of the above

The set of all values of a for which both roots of equation x^2-2ax+a^2-1=0 lies between -2 and 4 is (A) (-1,2) (B) (1,3) (C) (-1,3) (D) none of these

The minimum value of 2^((x^2-3)^3+27) is (a) 2^(27) (b) 2 (c) 1 (d) none of these

The fractional part of 2^(4n)/15 is (n in N) (a) 1/15 (b) 2/15 (c) 4/15 (d) none of these