CAT 2020 Slot 2 — DILR Question 13
Answer the next 4 questions based on the information given below.
The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among P, Q, R, S and T. Two students are guided by each of P, R and T, while one student is guided by each of Q and S. Each student is guided by a guide belonging to their department.
Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.
The following additional facts are also known.
- Seminars by students from Economics are scheduled in each of the four slots.
- A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
- F is an Anthropology student whose seminar is scheduled at 10:30 am.
- The seminar of a Sociology student is scheduled at 9:00 am.
- B and G are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T, is also scheduled in the same slot.
- P, who is guiding both B and C, has students scheduled in the first two slots.
- A and G are scheduled in two consecutive slots.
Which one of the following statements is true?
Answer & solution
- A
Only one seminar is scheduled in the second slot.
- B
Three seminars are scheduled in the first slot.
- C
Three seminars are scheduled in the last slot.
Two seminars are scheduled in the first slot.
Seminars by students from Economics are scheduled in each of the four slots.
A’s is the only seminar that is scheduled at 10:00 am. A is guided by R.
F is an Anthropology student whose seminar is scheduled at 10:30 am.
The seminar of a Sociology student is scheduled at 9:00 am.
Here, R is an Economics guide, and both his slots should be consecutive. Since there are 4 economics students there must be 2 economics guides.
∴ There must be one more economics guide.
One or R’s slot is at 10 am hence, his next slot will be at 10:30 so that the second economics guide will take the first two consecutive slots.
The seminar of an Economics student, who is guided by T, is also scheduled in the same slot. Therefore, T is the other economics guide who takes the first two slots.
P, who is guiding both B and C, has students scheduled in the first two slots. Also, B is a sociology student.
∴ P is a sociology guide and C is also a sociology student.
B and G are both Sociology students, whose seminars are scheduled in the same slot.
A and G are scheduled in two consecutive slots.
∴ The only possible case is
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∴ Two seminars are scheduled in the first slot.
Hence, option (d).