Read the following passage and solve the questions based on it.
(i) Six students P, Q, R, S, T and U are in different branches of Engineering viz., IT, mechanical, chemical, electrical, metallurgy and electronics but not necessarily in the same order.
(ii) Each of them is a resident of a different city viz., Mumbai, Kolkata, Chennai, Patna, Hyderabad and Bangalore. R is the resident of Patna but he is not in chemical or electrical. T, who is in mechanical, is not a resident of Mumbai or Hyderabad. Q is from Kolkata and he is in electrical. The student from Chennai is in electronics; S is from Mumbai; P is in metallurgy.
Which city does P belong to?