Puzzle - 10
A cricket team of 11 players is to be formed from a group of
15 players - A, B, C, D, E, F, G, H, I, J, K, L, M, N and O.
Among the players A, D, K, L, M, N and O are batsmen; B, C,
E, F, G and H are bowlers; I and J are wicket keepers. It is
also known that:
I. The team must have at least 5 batsmen and exactly 1
wicketkeeper.
II. H can be selected only if B is selected.
III. F can be selected only if both G and N are selected.
IV. If I is selected, then F is also selected.
V. K and M cannot be selected together for the team. The
same is true for B and G.
Q1. In how many ways can the team be formed?
a. 3 b. 4 c. 5 d. 6
Q2. If G is one of the bowlers in the team, then who will be
the wicketkeeper?
a. J b. I c. Either a or b d. No such team is possible
Q3. If H is selected, then who among the following cannot
be selected in the team?
a. O b. N. c. G d. J
Puzzle - 11
A team must be selected from ten probable – A, B, C, D, E,
F, G, H, I and J. Of these, A C, E and J are forwards. B, G and
H are point guards and D, F and I are defenders.
Further, the following conditions need to be observed:
• The team must have at least one forward, one point guard
and one defender.
• If the team includes J, it must also include F.
• The team must include E or B, but not both.
• If the team includes G, it must also include F.
• The team must include exactly one among C, G and I.
• C and F cannot be members of the same team
• D and H cannot be members of the same team
• The team must include both A and D or neither of them.
There is no restriction on the number of members in the
team.
Q1. What could be the size of the team that includes G?
(1) 4 (2) 5 (3) 6 (4) More than one of the above
Q:2. What would be the size of the largest possible team?
(1) 4 (2) 5 (3) 6 (4) 7
Q3. Who cannot be included in a team of size 6?
(1) A (2) H (3) J (4) E
Q4. What can be the size of the team that includes C?
(1) 3 (2) 4 (3) 5 (4) More than one of the above
Puzzle - 12
A housing society has 6 primary members A, B, C, D, E & F and 4 associate
members G, H, I & J. These members are to be used to form 3 working
committees X, Y and Z. Each member of the housing society has to be a
member of exactly one of the committees. Committee X has the highest
number of members and Committee Z the least number of members, with
no two committees having equal number of members. The following
conditions are also known to us.
1. Each committee is to have at least 1 primary member and at least 1
associate member.
2. I will not work on Committee Y.
3. A and G cannot be part of the same committee.
4. C and J only work on the same committee.
5. E will work only on Committee Z and H will work only on Committee X.
6. No more than 2 out of B, D and F can work on the same committee.
Q1. All of the following can be part of Committee X except:
1) B 2) C 3) G 4) A
Q2. If F & G belong to the same committee, then which two of the following
are definitely in a committee together?
1) A & D 2) A & C 3) B & C 4) B & A
Q3. If G belongs to Committee Y, then which of the following cannot be
Committee X?
1) HCJAB 2) HCJBD 3) HCJAD 4) HCJAF
Puzzle - 13
A, B, C, D, E, F, G, H, I, J and K are eleven friends who went to a multiplex.
P, Q and R are three movies being shown in the multiplex. The eleven
friends divided themselves in three groups and each group watched a
different movie. None of the friends was alone in a group. The group which
had fewer number of people than any other group watched movie R.
Following additional information is known.
(i) H watched either movie Q or movie R.
(ii) K and D watched movies Q and P (not necessarily in that order)
(iii) H and G watched different movies
(iv) Number of friends who watched movie Q was more than those who
watched movie P.
(v) E and F were in different groups
(vi) Number of friends who watched the same movie as D, was less than the
number of friends who watched the same movie as G.
(vii) A and B were in the same group.
(viii) C, J and I watched movies P, Q and R respectively.
Q1. For how many of the friends it can be determined that exactly which
movie he/she went for?
1) 8 2) 9 3) 10 4) 11
Q2. Which two of these are definitely in the same group?
1) D and E 2) G and F 3) B and K 4) J and E
Q3. Which of the following persons definitely did not go for movie P?
1) D 2) F 3) E 4) K
