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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. 
At which of the following places does E stay?
  • a)
    Bangalore
  • b)
    Hyderabad
  • c)
    Lucknow
  • d)
    Delh
Correct answer is option 'C'. Can you explain this answer?
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Given Information:
- Five professors A, B, C, D, and E reside in five different cities.
- They teach five different subjects: philosophy, mathematics, economics, geography, and history.

Clues:
(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 Delhi. He teaches geography.
(v) C does not teach history and he stays in Delhi.

Solution:
1) Let's analyze the given information and clues step by step to determine the location where E stays.

Step 1:
- We know that C stays in Delhi and does not teach history.
- Therefore, the subject taught by C is either philosophy, mathematics, economics, or geography.

Step 2:
- From clue (i), we know that A teaches philosophy and does not stay in Bangalore or Lucknow.
- Since C does not teach history, the subject taught by C cannot be philosophy.
- Hence, C does not teach philosophy.

Step 3:
- From clue (ii), we know that B teaches mathematics and does not stay in Hyderabad or Lucknow.
- Since C does not teach mathematics, the subject taught by C cannot be mathematics.
- Hence, C does not teach mathematics.

Step 4:
- From clue (iii), we know that D stays in Jaipur and does not teach economics.
- Since C does not teach economics, the subject taught by C cannot be economics.
- Hence, C does not teach economics.

Step 5:
- From clue (iv), we know that E teaches geography and does not stay in Bangalore or Delhi.
- Since C does not teach geography, the subject taught by C cannot be geography.
- Hence, C does not teach geography.

Therefore, the subject taught by C is history.

Step 6:
- From clue (v), we know that C stays in Delhi and does not teach history.
- Therefore, the subject taught by C is either philosophy, mathematics, economics, or geography.

Step 7:
- Since E does not stay in Bangalore or Delhi and does not teach geography, the subject taught by E cannot be geography.
- Hence, the subject taught by E is either philosophy, mathematics, economics, or history.

Step 8:
- Since A teaches philosophy, the subject taught by E cannot be philosophy.
- Hence, the subject taught by E is either mathematics, economics, or history.

Step 9:
- Since B teaches mathematics, the subject taught by E cannot be mathematics.
- Hence, the subject taught by E is either economics or history.

Step 10:
- Since D does not teach economics and E does not teach geography, the subject taught by E must be history.

Therefore, E stays in Delhi.
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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.At which of the following places does E stay? a)Bangaloreb)Hyderabadc)Lucknowd)DelhCorrect answer is option 'C'. Can you explain this answer?
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