Seminar Scheduling
CAT 2020 Slot 2 · DILR · Hard · Scheduling
Passage / data set
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.
Question 1 of 6
Which one of the following statements is true?
- A.
Only one seminar is scheduled in the second slot
- B.
Three seminars are scheduled in the last slot.
- C.
Three seminars are scheduled in the first slot.
- D.
Two seminars are scheduled in the first slot.
D
Explanation
Analyzing the schedule constraints, slot 1 (9:00 am) has exactly two seminars.
Question 2 of 6
Who all are NOT guiding any Economics students?
- A.
P, R and S
- B.
P, Q and R
- C.
P, Q and S
- D.
Q, R and S
C
Explanation
Guides P, Q, and S guide Sociology and Anthropology students, hence none of them guide Economics students.
Question 3 of 6
Which of the following statements is necessarily true?
- A.
Q is guiding G.
- B.
H is an Economics student.
- C.
B is scheduled in the first slot.
- D.
S is guiding F.
B
Explanation
Deductions show that H must belong to the Economics department.
Question 4 of 6
If D is scheduled in a slot later than Q's, then which of the following two statement(s) is(are) true? (i) E and H are guided by T. (ii) G is guided by Q.
- A.
Neither (i) nor (ii)
- B.
Both (i) and (ii)
- C.
Only (ii)
- D.
Only (i)
B
Explanation
When D is scheduled after Q's slot, both conditions (i) and (ii) evaluate to true.
Question 5 of 6
If E and Q are both scheduled in the same slot, then which of the following statements BEST describes the relationship between D, H, and T?
- A.
At least one of D and H is guided by T.
- B.
Both D and H are guided by T.
- C.
Neither D nor H is guided by T.
- D.
Exactly one of D and H is guided by T.
A
Explanation
If E and Q share a slot, at least one among D and H must be guided by T.
Question 6 of 6
If D is scheduled in the slot immediately before Q's, then which of the following is NOT necessarily true?
- A.
G is guided by Q.
- B.
D is guided by T.
- C.
F is guided by S.
- D.
E is guided by R.
D
Explanation
Under this conditional setup, 'E is guided by R' is not necessarily true.
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