Four friends A, B, C and D have one of the four professions i.e. Doctor, Architect, Engineer and Lawyer. Each friend belongs to one of the four different cities Chandigarh, Indore, Lucknow and Pune. A is not a lawyer or engineer. The doctor is from Lucknow. D is an architect. The lawyer is from Pune. The engineer is neither from Chandigarh nor from Pune. D is not from Pune, C is not from Indore. Which of the following statements is true about B?AB is a lawyer and belongs to PuneBB is a doctor and belongs to PuneC B is a lawyer and belongs to ChandigarhDB is a doctor and belongs to Chandigarh
Question
Four friends A, B, C and D have one of the four professions i.e. Doctor, Architect, Engineer and Lawyer. Each friend belongs to one of the four different cities Chandigarh, Indore, Lucknow and Pune. A is not a lawyer or engineer. The doctor is from Lucknow. D is an architect. The lawyer is from Pune. The engineer is neither from Chandigarh nor from Pune. D is not from Pune, C is not from Indore. Which of the following statements is true about B?AB is a lawyer and belongs to PuneBB is a doctor and belongs to PuneC B is a lawyer and belongs to ChandigarhDB is a doctor and belongs to Chandigarh
Solution
The problem can be solved by process of elimination.
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A is not a lawyer or engineer. So, A can be either a doctor or an architect. But D is an architect. So, A must be a doctor.
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The doctor is from Lucknow. So, A is from Lucknow.
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D is an architect. The lawyer is from Pune. So, D cannot be from Pune.
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The engineer is neither from Chandigarh nor from Pune. So, the engineer can be either from Indore or Lucknow. But A (doctor) is from Lucknow. So, the engineer must be from Indore.
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C is not from Indore. So, C cannot be the engineer. C can be either a lawyer or an architect. But D is an architect. So, C must be a lawyer.
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The lawyer is from Pune. So, C is from Pune.
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Now, the only profession left for B is engineer and the only city left for B is Chandigarh.
So, the statement "B is a lawyer and belongs to Chandigarh" is false. The correct statement is "B is an engineer and belongs to Chandigarh".
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