Question
What is the sum of room number of V, A, Q, X and
Z? Study the following information carefully and answer the questions given below it. Twelve persons P, Q, R, S, T, U, V, W, X, Y, Z and A are sitting around a hexagonal shaped table facing center. Six persons are sitting at corners of the table and remaining persons are sitting at the edges of the table. They all are living in different rooms numbered 1 - 12.Consecutive alphabetical names of the persons are not adjacent to each other. Consecutive numerical room numbers of the persons are not adjacent to each other. Two persons are sitting between Z and U who lives in room number 8.U sits at one of the corner of the table. Three persons are sitting between Z and the one who lives in room number which is square of an odd number but not 1. T sits fourth to the right of A who sits adjacent to U. T lives in room number 4.Immediate neighbor of U lives in the prime numbered room. Four persons are sitting between W and Y when counted from left of W who is not an immediate neighbor of Z. The one who lives in room number 1 sits third to the left of W who lives in room number 11. R and V are immediate neighbors. Q sits second to the right of the one who lives in room number 3.The one who lives in room number 12 sits second to the left of X. Q and S lives adjacent to each other. P lives in room number 10. Q and W are not an immediate neighbor of each other. The room number of R is greater than the room number of Z.Solution
Two persons are sitting between Z and U who lives in room number 8. Â U sits at one of the corner of the table. Case-1
Case-2
Three persons are sitting between Z and the one who lives in room number which is square of an odd number(9) but not 1. Case-1
T sits fourth to the right of A who sits adjacent to U. T lives in room number 4. Case-1
Immediate neighbors of U lives in the prime numbered room. Â Four persons are sitting between W and Y when counted from left of W who is not an immediate neighbor of Z. Â The one who lives in room number 1 sits third to the left of W who lives in room number 11. Case-1
Case-2
R and V are immediate neighbors. Q sits second to the right of the one who lives in room number 3. Q and W are not an immediate neighbor of each other. Q and S lives adjacent to each other. The one who lives in room number 12 sits second to the left of X. P lives in room number 10.  The room number of R is greater than the room number of Z. Case-1
Case-2 final 
Suppose 6A = 8B = 15C, then find the value of (A:B:C) .
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