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Question

(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 hostel, 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
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B
QR
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C
RS
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D
ST
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E
None of these
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Solution

The correct option is B QR
(i)
R does not stays as PG.
T stays as PG.
U and S stays in Hostel.
Q stays at home, so P stays as PG.
R stays at home.
(ii)
R studies Philosophy.
T studies Maths and S studies Physics.
Since P stays as PG, Q and U studies either Statistics or History.
Only P's subject of study is remaining.
So, P studies English.
Clearly, QR stays at home.

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