There are eight members P, Q, R, S, T, U, V and W in a family. These eight persons belong to three different generations, such that there are three married couples, while two members are unmarried. Each couple has at least a child.
Further it is known that each of these eight persons works with a different company among A, B, C, D, E, F, G and H in any order. V and Ft are the only siblings in the family and U, W, R and S are of the same gender. W and V do not form a married couple.
The person who works with A is the mother of the person who works with F, who, in turn, is a female. V, does not work with E, and his daughter is S. R works with B. The person who works with G and the one who works with E belong to the same generation. The person who works with G is a female, whereas the person who works with E is a male. The person who works with C is the maternal grandfather of Q, who, in turn, works with D. T works with H.
It is given that;
(1) Those 8 members of the family belong to three different generations.
(2) There are three married couples and two persons are unmarried in the family.
(3) Each married couple has at least a child.
From the above three conditions, we get the following two possibilities.
Here, the family members are denoted by F1, F2,…., F8.
Let us consider possibility (I):
It is given that V and R are the only siblings.
Thus, let us consider F3 as V and F4 as R.
V has a daughter 8, thus F7 is S.
Therefore, U, W, R and S are females.
The person who works with C is the maternal grandfather of Q.
Therefore, F8 is Q, who works with D. Let F1 works with C.
It is given that R works with B.
The person who works with A is the mother of the person, who works with F and both are females.
The only possibility is that F5 (wife of V) works with A and her daughter works with F.
Since, the person working with G and E belong to the same generation, V works with E, which violates a condition.
Therefore, this case is not possible.
Consider possibility ([1):
Here again we have two cases:
Case (a) :
When F2 is R.
In this case, F3 is V and F, is the person who works with C.
F6 is S and F8 is Q.
F4 is U, who works with A and thus F6 works with 8.
Therefore, F7 and F5 will be working in E and G respectively.
=> V will be working with H, which is not possible.
Therefore, This case is not possible.
Case (b) :
When F2 is V.
F3 is R and V works with C.
F5 is S and F8 is Q and works with D.
W is not the couple of V.
Since, W is a female, she can’t be F4 or F7 (as both are males).
Therefore, F6 is W.
=> F1 is U and works with A and thus S works with F.
As the persons working with G and E belong to the same generation, the only possibility is that W works with G and F7 works with E.
=> F4 works with H.
Therefore, F4 is T and F7 is P.
The final arrangement is as follows:
Q1. W works with G. Choice (2)
Q2. S is the wife of the person who works with E. Choice (2)
Q3. Both V and U as well as R and T are married couples. Choice (4)
Q4. Only choice (1) is true. Choice (1)
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