Reasoning : Logical Reasoning & Analytical Ability

Q 188 / 325

UPSC CSE Prelims 2017

Consider the given information and answer the three questions that follow. A, B, C, D, E, F and G are Lecturers from different cities such as Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, namely in Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further:

  1. Lecturer from Kanpur is specialized in Geography.
  2. Lecturer D is from Shillong.
  3. Lecturer C from Delhi is specialized in Sociology.
  4. Lecturer B is specialized in neither History nor Mathematics.
  5. Lecturer A who is specialized in Economics does not belong to Hyderabad.
  6. Lecturer F who is specialized in Commerce belongs to Srinagar.
  7. Lecturer G who is specialized in Statistics belongs to Chennai.

Who of the following belongs to Hyderabad?

EXPLANATION

Correct Option (2)

To determine the lecturer belonging to Hyderabad, a systematic deduction based on the provided clues is performed:

  • Clue 3 establishes: Lecturer C is from Delhi and specializes in Sociology.
  • Clue 6 establishes: Lecturer F specializes in Commerce and belongs to Srinagar.
  • Clue 7 establishes: Lecturer G specializes in Statistics and belongs to Chennai.
  • Clue 2 establishes: Lecturer D is from Shillong.
  • Considering Clue 4, Lecturer B is specialized in neither History nor Mathematics. The remaining unassigned subjects are Economics, History, Geography, and Mathematics. Since Lecturer A is specialized in Economics (Clue 5), B cannot be Economics. Therefore, B must be specialized in Geography.
  • From Clue 1, the lecturer from Kanpur is specialized in Geography. As B specializes in Geography, B must be from Kanpur.
  • Now, for Lecturer A, who specializes in Economics (Clue 5), it is stated that A does not belong to Hyderabad. With B assigned to Kanpur, A cannot be from Kanpur either. The only remaining city for A among the unassigned cities (Hyderabad, Kanpur, Mumbai) is Mumbai. Thus, Lecturer A is from Mumbai and specializes in Economics.
  • At this stage, the assignments are:
    • A: Economics - Mumbai
    • B: Geography - Kanpur
    • C: Sociology - Delhi
    • D: (Subject TBD) - Shillong
    • E: (Subject TBD) - (City TBD)
    • F: Commerce - Srinagar
    • G: Statistics - Chennai
  • The only remaining lecturer is E, and the only remaining city is Hyderabad. The remaining subjects (History and Mathematics) can be assigned to D and E. Therefore, Lecturer E belongs to Hyderabad.

Incorrect Options:

  • Option 1 (B): Lecturer B is definitively assigned to Kanpur, as B specializes in Geography, and the lecturer from Kanpur specializes in Geography.
  • Option 3 (Neither B nor E): This option is incorrect because Lecturer E is conclusively determined to belong to Hyderabad through the process of elimination.
  • Option 4 (Cannot be determined as data is inadequate): The provided data is sufficient to uniquely identify Lecturer E as belonging to Hyderabad, rendering this option incorrect.