Answer the following questions based on the information given below
P, Q, R, S, T, U, V, W, X and Y are ten members who are to be divided into three groups A, B and C. The groups must be formed based on the following conditions.
(i) There must be atleast one person in each group and each person must belong to exactly one group.
(ii) Q, S and W are not to be persent in group B.
(iii) Group C must have exactly one member more than those in group B.
(iv) P, R, V and X are not to be present in group A.
If only P, R and X are in group C, then who among the following will be in groupA?

Options

A. Q, S, W, T and V
B. S, W, T and Y
C. Q, S, T,U and W
D. None of these

Answer

C

Explanation

From (IV) we can say maximum possible members in group A is 6. Also from (III) total number of members in group B and C together is odd (sum of two consecutive numbers). So the number of members in team A is odd i.e., 1, 3 or 5. So different possible combinations are

If three members are in group C than 5 members will be in group A. Since P, R and X are in group C, Q, S and W and any other 2 members except U can be in group A. Hence option (C ) is valid.
From (IV) we can say maximum possible members in group A is 5. Also from (III) the total number of members in group B and C togather is odd (sum of two consecutive numbers). So the number of members in team A is odd i.e., 1, 3or 5. So different possible combination are:

Option (A) is not correct as it has two members in group A. Option (B) 3 members are there in group C
`rArr` members are there in group B and 5 members are there in group A. But out of P, R and X only 2 can be in group B the other cannot be in group A. so this case is ruled cut. Option (C ) : if group C has 4 members, groups B and C will have 3 members each. So Q, S and W can be in group A and T, U and Y can be in group B.