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.