A, B, C, D, E, F and G are Lecturers from different cities—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, viz., 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?
- AB
- BECorrect
- CNEITHER B NOR E
- DCannot be determined as data are inadequate
Explanation
Here's a step-by-step breakdown:
-
Identify direct assignments:
- C is from Delhi and specialized in Sociology.
- F is from Srinagar and specialized in Commerce.
- G is from Chennai and specialized in Statistics.
- D is from Shillong. (Subject unknown)
- A is specialized in Economics but not from Hyderabad.
-
Use Clue 1 (Kanpur, Geography): A lecturer from Kanpur is specialized in Geography. This means the person from Kanpur is the Geography specialist.
-
Determine A's city:
- A is specialized in Economics.
- A is not from Hyderabad (given).
- A cannot be from Kanpur because Kanpur is for Geography (Clue 1).
- The cities already assigned are Delhi, Srinagar, Chennai, Shillong. The remaining cities are Hyderabad, Kanpur, Mumbai.
- Since A is not Hyderabad and not Kanpur, A must be from Mumbai.
- So, A is from Mumbai and specialized in Economics.
-
Identify remaining Lecturers, Cities, and Subjects:
- Lecturers remaining: B, E
- Cities remaining: Hyderabad, Kanpur
- Subjects remaining (for B, E, and D): History, Geography, Mathematics (Economics, Commerce, Sociology, Statistics are taken).
-
Apply Clue 4 (B's subjects): Lecturer B is specialized in neither History nor Mathematics.
- From the remaining subjects (History, Geography, Mathematics), if B is neither History nor Mathematics, then B must be specialized in Geography.
-
Determine B's city:
- If B is specialized in Geography, then according to Clue 1 (Lecturer from Kanpur is specialized in Geography), B must be from Kanpur.
- So, B is from Kanpur and specialized in Geography.
-
Determine E's city:
- All lecturers except E have been assigned a city (A-Mumbai, B-Kanpur, C-Delhi, D-Shillong, F-Srinagar, G-Chennai).
- The only remaining city is Hyderabad.
- Therefore, E must be from Hyderabad.
The final answer is B) E.

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