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Five Professors A, B, C, D and E residing in five different cities, teach five different subjects.
(i) A does not stay in either Bangalore or Lucknow. He teaches philosophy.
(ii) B does not stay in either Hyderabad or Lucknow. He teaches mathematics.
(iii)D stays in Jaipur and does not teach economics.
(iv) E does not stay either in Bangalore or at Delhi. He teaches geography.
(v) C does not teach history and he stays in Delhi.
Q. 
Which of the following combinations is wrong?
  • a)
    A – Hyderabad
  • b)
    B – Geography
  • c)
    C – Delhi
  • d)
    D – History
Correct answer is option 'B'. Can you explain this answer?
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Solution:

Given:
- Five professors A, B, C, D and E reside in five different cities.
- A teaches philosophy.
- B teaches mathematics.
- C does not teach history and stays in Delhi.
- D stays in Jaipur and does not teach economics.
- E teaches geography and does not stay in Bangalore or Delhi.

We need to identify the wrong combination out of the given options.

Option (a) A Hyderabad
- A does not stay in Bangalore or Lucknow.
- A teaches philosophy.
- Hence, A can stay in either Delhi, Hyderabad or Jaipur.
- Therefore, this combination is possible and not wrong.

Option (b) B Geography
- B does not stay in Hyderabad or Lucknow.
- B teaches mathematics.
- Hence, B can stay in either Bangalore, Delhi or Jaipur.
- But E stays in a city other than Bangalore or Delhi and teaches geography.
- Therefore, this combination is wrong.

Option (c) C Delhi
- C does not teach history and stays in Delhi.
- Hence, this combination is possible and not wrong.

Option (d) D History
- D stays in Jaipur and does not teach economics.
- Hence, D can teach either philosophy, mathematics, geography or history.
- But C does not teach history and stays in Delhi.
- Therefore, this combination is possible and not wrong.

Hence, the wrong combination is option (b) B Geography.
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Five Professors A, B, C, D and E residing in five different cities, teach five different subjects.(i) A does not stay in either Bangalore or Lucknow. He teaches philosophy.(ii) B does not stay in either Hyderabad or Lucknow. He teaches mathematics.(iii)D stays in Jaipur and does not teach economics.(iv) E does not stay either in Bangalore or at Delhi. He teaches geography.(v) C does not teach history and he stays in Delhi.Q.Which of the following combinations is wrong?a)A – Hyderabadb)B – Geographyc)C – Delhid)D – HistoryCorrect answer is option 'B'. Can you explain this answer?
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