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 is specialized in Geography?
- ABCorrect
- BD
- CE
- DCBD
Explanation
This is a logic puzzle that requires matching Lecturers, Cities, and Subjects. Let's break down the information step-by-step:
Known facts from the statements:
- C is from Delhi and specialized in Sociology. (C -> Delhi -> Sociology)
- D is from Shillong. (D -> Shillong)
- F is from Srinagar and specialized in Commerce. (F -> Srinagar -> Commerce)
- G is from Chennai and specialized in Statistics. (G -> Chennai -> Statistics)
- A is specialized in Economics and does not belong to Hyderabad. (A -> Economics, A != Hyderabad)
- B is specialized in neither History nor Mathematics. (B != History, B != Mathematics)
- The Lecturer from Kanpur is specialized in Geography. (Kanpur -> Geography)
Let's list the remaining Lecturers, Cities, and Subjects after assigning the known facts:
- Assigned Lecturers: C, D, F, G (A is partially assigned)
- Remaining Lecturers to fully assign: A, B, E
- Assigned Cities: Delhi, Shillong, Srinagar, Chennai
- Remaining Cities: Hyderabad, Kanpur, Mumbai
- Assigned Subjects: Sociology, Commerce, Statistics (Economics is assigned to A)
- Remaining Subjects: History, Geography, Mathematics
Now let's use statement 7: "The Lecturer from Kanpur is specialized in Geography."
- Lecturer A is specialized in Economics, so A is not Geography.
- Lecturer D is from Shillong, so D is not from Kanpur.
- Therefore, the (Kanpur -> Geography) pair must be assigned to either Lecturer B or Lecturer E.
Let's consider these two possibilities:
Possibility 1: Lecturer B is from Kanpur and specialized in Geography.
- This is consistent with statement 6 (B is neither History nor Mathematics, and Geography is neither of those).
- So, B -> Kanpur -> Geography.
Now, let's update the remaining items:
- Lecturers to fully assign: A, D, E
- Remaining Cities: Hyderabad, Mumbai (Kanpur is assigned to B)
- Remaining Subjects: History, Mathematics (Geography is assigned to B)
From statement 5: A is specialized in Economics and does not belong to Hyderabad.
- Since the only remaining cities for A are Hyderabad and Mumbai, A must be from Mumbai.
- So, A -> Mumbai -> Economics.
Now, we have Lecturers D and E left, with City Hyderabad and Subjects History and Mathematics.
- D is from Shillong (given).
- Therefore, E must be from Hyderabad. (E -> Hyderabad)
- The remaining subjects (History, Mathematics) must be assigned to D and E.
- If D is History, then E is Mathematics.
- If D is Mathematics, then E is History. This completes the puzzle without any contradictions.
Possibility 2: Lecturer E is from Kanpur and specialized in Geography.
- So, E -> Kanpur -> Geography.
Now, let's update the remaining items:
- Lecturers to fully assign: A, B, D
- Remaining Cities: Hyderabad, Mumbai (Kanpur is assigned to E)
- Remaining Subjects: History, Mathematics (Geography is assigned to E)
From statement 5: A is specialized in Economics and does not belong to Hyderabad.
- A must be from Mumbai.
- So, A -> Mumbai -> Economics.
Now, we have Lecturers B and D left, with City Hyderabad and Subjects History and Mathematics.
- D is from Shillong (given).
- Therefore, B must be from Hyderabad. (B -> Hyderabad)
- The remaining subjects (History, Mathematics) must be assigned to B and D.
- B's subject must be either History or Mathematics.
- However, statement 6 clearly says: "Lecturer B is specialized in neither History nor Mathematics."
- This creates a contradiction, as B must be one of these subjects. Therefore, Possibility 2 is incorrect.
Conclusion: Possibility 1 is the only valid solution. In this scenario, Lecturer B is from Kanpur and specialized in Geography.
The question asks: "Who is specialized in Geography?" Based on our valid solution, B is specialized in Geography.
The final answer is A) B

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