Question 49

# A family of three generation comprises of seven members - A, B, C, D, E, F and G. There are two married couples-one each of first and second generation respectively. They travel in three different cars -Audi, BMW and Honda so that no car has more than three members and there is at least one female in each car. C, who is a grand-daughter, does not travel with her grandfather and grandmother. B travels with his father E in BMW. F travels with her grand-daughter D in Audi. A travels with her daughter in Honda.Which of the following is one of the married couples?

Solution

Given that F is a grandmother and travels with her granddaughter D in Audi. Similarly, A travels with her daughter in a honda. Since A doesn't belong to the first generation as F is the grandmother and each car must have at least one female.

We are provided 2 cars and each car has 2 females each. Hence the third car with the father and son must have a female in order to satisfy the condition of one female each in the car.

Hence one female must be traveling along with E and B who are father and son. The only possible way in order to fill the two married couples are :

E must be the grandfather and belongs to the first generation and B must be his son who is married to A.

Hence the two couples are EF, AB

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