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 To which city does the Lecturer specialized in Economics belong?

Here's a step-by-step deduction:

1. Identify direct assignments:

   • Lecturer C is from Delhi and specialized in Sociology.
   • Lecturer D is from Shillong.
   • Lecturer F is from Srinagar and specialized in Commerce.
   • Lecturer G is from Chennai and specialized in Statistics.
   • Lecturer A is specialized in Economics.

2. Apply constraint for Lecturer A:

   • Statement 5 says Lecturer A, who is specialized in Economics, does not belong to Hyderabad.
   • So, A is Economics, and A is NOT Hyderabad.

3. Determine remaining cities for A:

   • Cities already assigned: Delhi (C), Shillong (D), Srinagar (F), Chennai (G).
   • Remaining cities: Hyderabad, Kanpur, Mumbai.
   • Since A is NOT Hyderabad (from step 2), A's city must be either Kanpur or Mumbai.

4. Use statement 1 to eliminate Kanpur for A:

   • Statement 1 says: "Lecturer from Kanpur is specialized in Geography."
   • If Lecturer A were from Kanpur, then A would be specialized in Geography.
   • However, we know from statement 5 that Lecturer A is specialized in Economics.
   • Since Economics is not Geography, Lecturer A cannot be from Kanpur.

5. Conclusion:

   • Lecturer A (specialized in Economics) cannot be from Hyderabad (statement 5) and cannot be from Kanpur (contradicts statement 1).
   • The only remaining city for Lecturer A is Mumbai.
   • Therefore, the Lecturer specialized in Economics belongs to Mumbai.

The final answer is B) Mumbai.