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Explanation:

The details that are directly given can be tabulated as under:

Now, Aman is not placed in Hindustan Lever and cannot be placed in Asian Paints (from the table). Also, the person placed in ITC is the other person placed at Chennai or Patna. So, Aman cannot be placed in ITC as well. Finally, the person placed in L’Oreal likes reading Non-fiction while Aman likes reading Historical fiction. Hence, Aman cannot be placed in L’Oreal as well. Therefore, Aman = Dabur.

Now, the person from ITC does not read Mystery fiction and cannot read Historical Fiction (as Aman is not from ITC). The placed in L’Oreal likes reading Non-fiction. Hence, the person from ITC cannot read this genre as well. Finally, the ITC employee is from Chennai or Patna, while the person who reads Classic fiction is posted at Bhopal. Hence, ITC = Business and Management = Manish or Rohit.

Now, the person reading Mystery fiction cannot be from Chennai or Patna as Aman (one possible person from Chennai) is reading Historical fiction and the other possible person from Chennai (ITC) does not read Mystery fiction. Also, this person cannot be from Bhopal, as the person posted at Bhopal reads Classic Fiction. 

Hence, Chennai and Patna = Historical Fiction + Business and Management (in any order). Also, Bhopal = Classic fiction. 

Hence, Delhi and Mumbai = Mystery fiction and Non-fiction (in any order). The person reading Non-fiction is not posted at Mumbai. 

Hence, Mumbai = Mystery fiction and Delhi = Non-fiction.  
 
Now, Vinay is not placed at Mumbai. So, either Manish or Rohit are placed at Mumbai. But Manish cannot be placed at Mumbai, as Manish does not read Mystery fiction. Hence, Rohit = Mumbai. 

From the explanation above, since the person from ITC was Manish or Rohit, we now have, ITC = Manish.

Since Manish is not posted at Chennai, Manish = Patna and Aman = Chennai

Sandeep has to be posted in L’Oreal (as he reads Non-fiction). Hence, Rohit = Hindustan Unilever (only company remaining). 

Thus, the final combinations are:

​​​​​​​​​​​​​​

After transferring, Sandeep is in Mumbai and Rohit is in Delhi. Therefore the person who likes reading Mystery Fiction works in Delhi.

Hence, option (b).

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