CAT 2020 Slot 2 - LRDI Question 19

Instructions

The Humanities department of a college is planning to organize eight seminars, one for eachĀ of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics,Ā three from Sociology and one from Anthropology department. Each student is guided by oneĀ among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student isĀ guided by each of Q and S. Each student is guided by a guide belonging to their department.Ā Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00Ā am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can beĀ scheduled in a slot, provided the guide is free. Only three rooms are available and hence atĀ the most three seminars can be scheduled in a slot. Students who are guided by the sameĀ guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. Aā€™s is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. F is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. B and G are both Sociology students, whose seminars are scheduled in the same slot. TheĀ seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
6. P, who is guiding both B and C, has students scheduled in the first two slots.
7. A and G are scheduled in two consecutive slots.

Question 19

If E and Q are both scheduled in the same slot, then which of the following statementsĀ BEST describes the relationship between D, H, and T?

Solution

If E and Q are scheduled in the same slot, they both can be in the last slot. In that case E will be guided by R and both D and H will be guided by T.Ā  Moreover if they are in the second slot, E will be guided by T and atleast one of D and H will be guided by T. Hence option (c) is correct


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