Question

Difficulty: MediumAnalytical Puzzles and Grouping

Four university professors—Prof. Alok, Prof. Brinda, Prof. Chhaya, and Prof. Dilip—specializing in four distinct subjects (Economics, History, Political Science, and Sociology), are scheduled to present their research papers in four consecutive one-hour time slots: 9:00 AM, 10:00 AM, 11:00 AM, and 12:00 PM on the same day.

The following conditions govern their presentation schedule:
1. Prof. Alok presents immediately before the History specialist.
2. Prof. Brinda presents at 11:00 AM, but she is not the Sociology specialist.
3. The Economics specialist presents at 9:00 AM.
4. Prof. Dilip is the Political Science specialist and presents after Prof. Brinda.

Based on the information provided above, which of the following statements are correct?

  1. Prof. Chhaya is the Economics specialist and presents at 9:00 AM.Answer
  2. B
    Prof. Alok specializes in History and presents at 10:00 AM.
  3. Prof. Brinda presents at 11:00 AM immediately after the Sociology specialist.Answer
  4. D
    Prof. Dilip is scheduled to present his paper at 10:00 AM.

Answer

The statements confirming that Prof. Chhaya is the Economics specialist presenting at 9:00 AM and that Prof. Brinda presents at 11:00 AM immediately after the Sociology specialist are both correct.
Deducing the full schedule establishes: 9:00 AM - Prof. Chhaya (Economics), 10:00 AM - Prof. Alok (Sociology), 11:00 AM - Prof. Brinda (History), and 12:00 PM - Prof. Dilip (Political Science). Hence, the statement assigning Prof. Chhaya to 9:00 AM Economics and the statement noting Prof. Brinda presents right after the Sociology specialist (Prof. Alok at 10:00 AM) are both factually accurate.

Step-by-Step Solution

1
Determine Prof. Dilip's presentation time and discipline.
Prof. Dilip is the Political Science specialist and presents after Prof. Brinda (11:00 AM). Thus, Prof. Dilip presents at 12:00 PM.
12:00 PM is the only remaining time slot after 11:00 AM.
2
Evaluate the placement of Prof. Alok and the History specialist.
Prof. Alok must present at 10:00 AM, and Prof. Brinda (at 11:00 AM) is the History specialist.
Prof. Alok presents immediately before the History specialist. If Prof. Alok were at 9:00 AM, the person at 10:00 AM would be History, leaving 11:00 AM (Prof. Brinda) as Sociology, which violates clue 2. Therefore, Prof. Alok is at 10:00 AM.
3
Determine the remaining slots and specializations.
Prof. Chhaya presents at 9:00 AM (Economics), Prof. Alok presents at 10:00 AM (Sociology), Prof. Brinda presents at 11:00 AM (History), and Prof. Dilip presents at 12:00 PM (Political Science).
Matching all unassigned individuals and specializations deterministically completes the schedule.

Key Concept

Analytical Puzzles and Grouping
Estimated Time:2m 0s
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