Grouping and Selections 

Three groups are formed from three professors – P, Q  and R – three lecturers –  A, B and C – and six students – U , V , W , X , Y and Z. Each group consists of exactly one professor , one lecturer and two students . W and X are in one group but not in the groups of P or Q. V and Y are not in the the same group. Q and B are in the same group . Which of the following can be a correct combination of one of the groups ?
(A) R – A – VU
(B) Q – B – WX
(C)P – A – YZ
(D) R – C – YZ 

Each of the three groups consists of one professor out of P, Q, R; one lecturer out of A , B and C; two students out of U, V, W,X,Y,Z that means P, Q , R are in three different groups and so are A, B and C. 

W and X are in one group but not in the group of P and Q, that means they are in R’s group. 
U and Z are not in the same group.
V and Y are not in the same group.
Q and B are  in the same group.
So A and C must be in the groups of P and R. So, the groups can be as follows: 

Group – I

Group – II

Group – III

R
( A or C)

WX

Q
B
( VU or YZ)

P
(C or A)
(YZ or VU)

 

So the correct combination out of the given 4 choices is P – A – YZ.

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See our previous ‘Puzzles of the Day’:  

Puzzle of the Day : 39

Puzzle of the Day : 38

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