To which city does the Lecturer specialized in Economics belong?
- (a) Hyderabad
- (b) Mumbai ✓ UPSC's answer
- (c) Neither Hyderabad nor Mumbai
- (d) Cannot be determined as data are inadequate
Why the answer is (b)
• From clues 6 and 7, F is from Srinagar (Commerce) and G is from Chennai (Statistics). From clue 2, D is from Shillong. From clue 3, C is from Delhi (Sociology). This leaves Hyderabad, Kanpur, and Mumbai for A, B, and E.
• Clue 1 states the lecturer from Kanpur specializes in Geography. Clue 5 states A (Economics) is not from Hyderabad. Since A is not from Hyderabad, A must be from either Kanpur or Mumbai. However, A cannot be from Kanpur because the Kanpur lecturer specializes in Geography, not Economics. Therefore, A must be from Mumbai.
• Since A is from Mumbai, the remaining cities for B and E are Hyderabad and Kanpur. The Kanpur lecturer specializes in Geography. Clue 4 states B is specialized in neither History nor Mathematics. The remaining subjects for B and E are History, Mathematics, and Geography (since Economics, Commerce, Sociology, Statistics are taken by A, F, C, G). Wait, let's list subjects: A(Econ), F(Comm), C(Soc), G(Stat). Remaining subjects: History, Math, Geo, Soci? No, C is Soc. Remaining: History, Math, Geo. And one more? Total 7 subjects. A(Econ), F(Comm), C(Soc), G(Stat). Left: History, Math, Geo. And... wait. 7 people. A, B, C, D, E, F, G. Subjects: Econ, Comm, Soc, Stat, Hist, Math, Geo. Assigned: A(Econ), F(Comm), C(Soc), G(Stat). Unassigned subjects: History, Math, Geo. Unassigned people: B, D, E. Cities: A(Mumbai), C(Delhi), D(Shillong), F(Srinagar), G(Chennai). Unassigned cities: Hyderabad, Kanpur. People left for these cities: B, E. D is in Shillong. So B and E are in Hyderabad and Kanpur. Kanpur is Geography. So either B or E is Geography. Clue 4 says B is not History or Math. So B must be Geography (since the only options for B's subject among the remaining are History, Math, Geo, and B can't be H or M). Thus B is from Kanpur (Geography). This leaves E from Hyderabad. E's subject must be one of History or Math. D is from Shillong. D's subject is the last one (History or Math). This confirms A is from Mumbai.
• Therefore, the lecturer specialized in Economics (A) belongs to Mumbai.
Why the other options are wrong
- (a) Hyderabad
- Lecturer A (Economics) is explicitly stated not to belong to Hyderabad in clue 5.
- (c) Neither Hyderabad nor Mumbai
- The data is sufficient to determine that A belongs to Mumbai, so it is not 'neither'.
- (d) Cannot be determined as data are inadequate
- The constraints allow for a unique solution where A is from Mumbai, so the data is adequate.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2017, held on 18 June 2017. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.