Caselet -1 Analytical Reasoning | Previous Year Papers – CAT 2016
Answer the questions on the basis of the information given below.
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 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?
(a) 4
(b) 5
(c) 6
(d) More than one of the above
The conditions related to G are, if G is included, F also must be included and C and I cannot be included. There are no other conditions related to G. Hence, a team that includes G can be:
• AEJGDF
• ADGFE
• EGFH
• ADGFB
• GFE
More arrangement are possible. Hence, the number of members in the team can be 4, 5 or 6.
Q2: What would be the size of the largest possible team?
(a) 4
(b) 5
(c) 6
(d) 7
The largest possible team can have six members. As one of, (E, B) and (D, H) and two of (C, G, I) must definitely be excluded. Hence, a miniumum of four members must be excluded. So size of the largest possible team is 6.
Q3: Who cannot be included in a team of size 6?
(a) A
(b) H
(c) J
(d) E
If a team includes H, neither A nor D can be included in that team and further one of (E, B) and two of (C, G, I) must be excluded making the size of the team as 5.
Q4: What can be the size of the team that includes C?
(a) 3
(b) 4
(c) 5
(d) More than one of the above
– If C is included, G, F and I must be excluded.
– As F and I are excluded, the only remaining defender D must be included.
– As F is excluded, J also must be excluded.
– As D is included, A must be included and thus H must be excluded.
– As G and H are excluded, the only remaining point guard B must be selected.
– As B is included, E must be excluded.
The team is (A, B, C, D). So, size of the team that includes C is 4.