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Questions  >>  Olympiad-Math  >>  Class 10
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Q)

There are six persons A, B, C, D , E and F. C is the sister of F. B is the brother of E's husband. D is the father of A and grandfather of F. There are two fathers, three brothers and a mother in the group. Which of the following is a group of brothers ?

$\begin{array}{1 1} ABD \\ ABF \\ BFC \\ BDF \end{array} $

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A)
Solution :
D is father of A and grandfather of F.
So, A is father of F.
Thus, D and A are the two fathers.
C is the sister of F.
So, C is the daughter of A.
Since there is only one mother, it is evident that E is the wife of A and hence the mother of C and C and F.
So, B is brother of A.
There are three brothers.
So, F is the brother of C.
Hence, B and A are brothers.
F is the brother of C.
So, three brothers are A, B, F.
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