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R is the resident of Delhi but he is not in Chemical or Electrical. T, who is in Mechanical, is not the resident of Mumbai or Hyderabad. Q is from Calcutta and he is in Electrical. S is from Mumbai. P is in Metallurgy. The student from Chennai is in Electronics. So, U is from Chennai. Only city left for P is Hyderabad and T is form Bangalore. 
Final arrangement as shown below: 
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