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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.

If there be five boys in the team, the alone girl member is

A
P
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B
Q
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C
R
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D
S
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Solution

The correct option is A Q
Since B and E cannot be in the same team, so we have to select either B or E.
If we select B, then the team of boys will be ABCDF.
B and R have to be together, and C and Q have to be together. Thus we will get two girls.
But we want only one girl. So, we cannot select B.
Thus we select E and the team of boys become ACDEF.
Since C and Q have to be together.
Hence, Q is the required girl member in the team.

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