Question Number: 11 Correct: 1 Wrong: 0 Let G be a non-abelian group of order 125. Then the total number of elements in Z(G) = {xeGgx=xg for all g = G} equals Question Number: 12 Correct: 1 Wrong: 0 Let and F, be subfields of a finite field F consisting of 2 and 2 elements, respectively. Then the total number of elements in FF2 equals Question Number: 13 Correct: 1 Wrong: 0 Consider the normed linear space R equipped with the norm given by ||(x, y)||=|x|+|y| and the subspace X = {(x, y) = R : x=y}. Let f be the linear functional on X given by f(x, y)=3x. If g(x, y) = ax+ By, a, BeR, is a Hahn-Banach extension of f on R, then a equals Question Number: 14 Correct: 1 Wrong: -0.33 1 For nZ, define C 2 - i(n-i)x dx, where =-1. Then CM | equals NEZ (A) cosh(7) (B) sinh(T) (C) cosh(27) (D) sinh(27)