Read the following passage and solve the questions based on it.
(i) Six men, viz., Rajesh, Dinesh, Lokesh, Nilesh, Shailesh and Himesh work for different companies, namely P, Q, R, S, T and U. Each one wears a different coloured company-sponsored tie, i.e., brown, green, pink, yellow, purple and red, though not necessarily in the same order.
(ii) The one wearing the brown tie works for the company S and the one wearing the green tie works for the company P.
(iii) Himesh does not work for either R nor T.
(iv) Rajesh wears a pink tie and works for the company Q.
(v) Nilesh does not work for the company T and a purple coloured tie is not given by the company R.
(vi) Shailesh works for the company U and neither Nilesh nor Dinesh work for the company S.
(vii) The company T does not sponsor a purple or a yellow coloured tie and Lokesh works for the company P.
Which of the following is true?