Among the six persons A, B, C, D, E, F there are three married couples of which A, C, E are husbands; B, C, 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 us break down the logical clues given in the puzzle:
1. Genders: There are three married couples, so there must be 3 husbands and 3 wives. We are given that A, C, E are husbands, meaning they are male. This leaves B, D, F as the wives, who are female.
2. Cousins: We are told that B, C, D are cousins. Because C is a cousin of B, they are siblings/extended relatives and cannot be married to each other in standard relationship puzzles. This rules out C as the husband of B.
3. Exclusions: The problem explicitly states that B is not the wife of A. This rules out A as the husband of B.
Since the eligible husbands are A, C, and E, and we have ruled out both A and C, E must be the husband of B.
1. Genders: There are three married couples, so there must be 3 husbands and 3 wives. We are given that A, C, E are husbands, meaning they are male. This leaves B, D, F as the wives, who are female.
2. Cousins: We are told that B, C, D are cousins. Because C is a cousin of B, they are siblings/extended relatives and cannot be married to each other in standard relationship puzzles. This rules out C as the husband of B.
3. Exclusions: The problem explicitly states that B is not the wife of A. This rules out A as the husband of B.
Since the eligible husbands are A, C, and E, and we have ruled out both A and C, E must be the husband of B.