Comprehension

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.
1. Seminars by students from Economics are scheduled in each of the four slots.
2. A’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. The 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: 1

Which one of the following statements is true?

Updated On: Sep 23, 2024
  • Three seminars are scheduled in the last slot.
  • Only one seminar is scheduled in the second slot.
  • Two seminars are scheduled in the first slot.
  • Three seminars are scheduled in the first slot.
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The Correct Option is C

Solution and Explanation

The correct answer is (C): From the above table, it is clear that the statement that two seminars are scheduled in the first slot is true.

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Question: 2

Who all are NOT guiding any Economics students?

Updated On: Jul 25, 2024
  • P, R and S
  • P, Q and R
  • P, Q and S
  • Q, R and S
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The Correct Option is C

Solution and Explanation

The correct answer is (C):
We know that R is guiding an economics student. 
Hence, choices with R can be are eliminated. None among P, Q and S is guiding an economics student.

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Question: 3

Which of the following statements is necessarily true?

Updated On: Jul 25, 2024
  • S is guiding F.
  • Q is guiding G.
  • B is scheduled in the first slot.
  • H is an Economics student.
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The Correct Option is D

Solution and Explanation

The correct answer is (D):
B is scheduled in the second slot. W e are not sure of who are guiding G and F. So, two other choice s are not necessarily true.

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Question: 4

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.

Updated On: Jun 27, 2024
  • Only (ii)
  • Neither (i) nor (ii)
  • Both (i) and (ii)
  • Only (i)
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The Correct Option is C

Solution and Explanation

The correct answer is (C):
D‘s seminar is scheduled later than Q’s seminar, indicates that Q’s seminar cannot be in the last slot. It implies F is guided by S and G by Q. Hence, statement (ii) is true. Now that Q’s seminar is scheduled in the second slot, D’s seminar is scheduled in the lost slot. i.e D is guided by R. Hence, E and H are guided by T. Thus, statement (i ) is also true. Both (i) and (ii) are true.

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Question: 5

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?

Updated On: Jun 27, 2024
  • Both D and H are guided by T.
  • At least one of D and H is guided by T.
  • Exactly one of D and H is guided by T.
  • Neither D nor H is guided by T.
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The Correct Option is B

Solution and Explanation

The correct answer is (B):
If E and Q are scheduled in the same slot, it is possible both in the second slot and the last slot. If it is in the second slot, then E is guided by T and one among D and E is also guided by T. 
If it is in the last slot, then E is guided by R and both D and E are guided by T. 
Thus, at least one of D and H is guided by T.

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Question: 6

If D is scheduled in the slot immediately before Q’s, then which of the following is NOT necessarily true?

Updated On: Jun 27, 2024
  • G is guided by Q.
  • E is guided by R.
  • D is guided by T.
  • F is guided by S.
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The Correct Option is B

Solution and Explanation

The correct answer is (B):
If D is scheduled in the slot immediately before Q’s, it is only possible with D is in the first slot and Q is in the second slot. 
It implies that D is guided by T, G is guided by Q and F is guided by S. 
One among E and H is guided by T and the other one b y R, in any order. 
Hence the statement that E is guided by R is NOT necessarily true.

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