(i). P, Q, R, S, T and U are six students procuring their Master's degree in six different subjects

(i). P, Q, R, S, T and U are six students procuring their Master's degree in six different subjects -- English, History, Philosophy, Physics, Statistics and Mathematics.
(ii). Two of them stay in hoste, two stay as paying guest (PG) and the remaining two stay at their home.
(iii). R does not stay as PG and studies Philosophy.
(iv). The students studying Statistics and History do not stay as PG.
(v). T studies Mathematics and S studies Physics.
(vi). U and S stay in hostel. T stays as PG and Q stays at home. Which of the following pairs of students stay at home ?

A. PQ

B. QR

C. RS

D. ST

E. None of these

Answer: B. QR

(I). T stays as PG; S stays in hostel.
      U stays in hostel and Q stays at home.
     Now, R does not stay as PG. So, P stays as PG.
     Clearly, R stays at home.
(II). S studies Physics; R studies Philosophy and T studies Mathematics. Now, P who stays as PG does not study Statistics or History. So, P studies English.

	Place of stay	Subject
P	PG	English
Q	Home	Statistics or History
R	Home	Philosophy
S	Hostel	Physics
T	PG	Mathematics
U	Hostel	Statistics or History

Q and R stay at home.

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