CAT 2020 Slot 2DILR Question 16

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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.

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.
 

Answer & solution

  • Both (i) and (ii)

  • B

    Only (ii)

  • C

    Only (i)

  • D

    Neither (i) nor (ii)

Solution

Consider the solution to the first question of this set.

If D is scheduled in a slot later than Q's, we get the following table.

​​​​​​​ 

Both (i) and (ii) are true.

Hence, option (a).

CAT 2020 Slot 2 DILR Q16: If D is scheduled in a slot later than Q's, then which of the following two statement(s) is(are) true? (i) E a — Solution | TheCATExam