Ans: 15+18 =33

3 questions of the same type  with different equations for N 

6) A hollow cube of size 5 cm is taken, with a thickness of 1 cm. It is made of smaller cubes of size 1 cm. If 1face of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?

a) 900  b) 488   c) 563   d) 800    

a) 6   b) 18  c) 72  d) 12

10) Middle – earth  is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different   rounds where in every round, half of the teams get eliminated from the tournament. If  there are 8 rounds played in a knock-out tournol how many matches were played?

a) 0      b) 12/212    c) 11/12     d) 1/12     

(a) Rs.12000    (b) Rs.13000    (c) Rs.14000     (d) Rs.15000

16) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a) 1  b) 0  c) 4  d) 2

17) Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The minimum value of n1(P) over all configurations P of 7 points in the plane in general position(.i.e no three points in P lie on a line) is

a) 3   b) 7   c) 2   d) 1
Ans: 7

18) 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no “cycle” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, ……, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, ……, {ak-1, ak}, {ak, a1}shake hands).

a) 7   b) 6     c) 9     d) 8