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Question

From amongst six boys A, B, C, D, E, and F and five girls P, Q, R, S and T, a team of six is to be selected under the following coditions :
(i) A and D have to be together.
(ii) C cannot go with S.
(iii) S and T have to be together.
(iv) B cannot be teamed with E.
(v) D cannot go with P.
(vi) B and R have to be together.
(vii) C and Q have to be together.

Doctor P visits in between which of the following pairs of doctors ?

A
S and V
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B
U and W
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C
R and W
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D
R and U
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E
None of these
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Solution

The correct option is D R and U
We first form the sequence of visit using (iv), (v) and (vi).
From (iv), we know that Q visits first and U visits last.
From (v), we know that W visits first after break and is followed by R.
From (vi), we know that P visits after break.
Thus, the sequence of visit after break becomes W R P U.
Also, S has the same position in morning session as P in afternoon session. So, sequence of visit before break is Q, T / V, S, V / T.
Clearly, P visits between R and U

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