Among six persons A, B, C, D, E, and F, there are three married couples. A, C, and E are the husbands. B, C, and D are cousins, and B is not the wife of A. Who is the husband of B?
- AC
- BA
- CE
- DF
Solution & Step-by-step Explanation
Let's organize the given conditions systematically:
1. The three husbands are A, C, and E.
2. This implies the remaining three individuals, B, D, and F, must be the wives.
3. We are given that B, C, and D are cousins. Since C is one of the husbands and B is a cousin, C cannot be married to B.
4. We are also explicitly told that B is not the wife of A.
Since the only available husbands are A, C, and E, and B cannot be married to A or C, the only remaining possibility for B's husband is E.
1. The three husbands are A, C, and E.
2. This implies the remaining three individuals, B, D, and F, must be the wives.
3. We are given that B, C, and D are cousins. Since C is one of the husbands and B is a cousin, C cannot be married to B.
4. We are also explicitly told that B is not the wife of A.
Since the only available husbands are A, C, and E, and B cannot be married to A or C, the only remaining possibility for B's husband is E.