Question:
A family has seven members, A, B, C, D, E, F and G. Among them there are three married couples. B, an engineer, is the father of E, who is a student. F, a contractor, is the grandfather of E. C is the daughter-in-law of D, who is a professor. G, a doctor, is the uncle of the student E. Among the seven members there is one journalist, one housewife and one student. C is the sister-in-law of B. The student, E, is single.
Which are the three married couples?
A family has seven members, A, B, C, D, E, F and G. Among them there are three married couples. B, an engineer, is the father of E, who is a student. F, a contractor, is the grandfather of E. C is the daughter-in-law of D, who is a professor. G, a doctor, is the uncle of the student E. Among the seven members there is one journalist, one housewife and one student. C is the sister-in-law of B. The student, E, is single.
Which are the three married couples?
Which are the three married couples?
Show Hint
Fix the grandparent couple (D, F) first, then split their two sons as B (married to A) and G (married to C, since C is B's sister-in-law).
Updated On: Jul 15, 2026
- (A, B), (C, G), (D, F)
- (A, F), (B, C), (D, G)
- (A, G), (B, C), (D, F)
- (A, B), (C, F), (D, G)
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The Correct Option is A
Solution and Explanation
Step 1: Fix the oldest couple first.
F is called the grandfather of E, and D is described only through "C is the daughter-in-law of D," which places D one generation above C. Since a family of 7 with 3 couples plus a single grandchild needs exactly one grandparent couple, D and F must be married to each other, giving couple (D, F).
Step 2: Identify D and F's two sons.
B, E's father, is one son of this couple, since F is E's grandfather through B. G, called E's uncle, must be the second son, because an uncle by blood is the sibling of a parent, and B already occupies the "parent" role.
Step 3: Fix B's marriage.
B is E's father, so B's wife is E's mother. Working through the remaining letters, the only person left with no fixed role yet is A, so A must be B's wife, giving couple (A, B).
Step 4: Fix G's marriage.
The only remaining unmarried person, other than E who stays single, is C. C is D's daughter-in-law, which fits marrying either of D's sons, and C is also called B's sister-in-law, a title that only fits if C is married to B's brother rather than to B himself. Since G is that brother, C must be married to G, giving couple (C, G).
Step 5: Put all three couples together.
The three married couples are (A, B), (C, G) and (D, F), which together with E makes the full family of 7.
Final Answer:
The couples are (A, B), (C, G) and (D, F).
\[ \boxed{(A,B),\ (C,G),\ (D,F)} \]
F is called the grandfather of E, and D is described only through "C is the daughter-in-law of D," which places D one generation above C. Since a family of 7 with 3 couples plus a single grandchild needs exactly one grandparent couple, D and F must be married to each other, giving couple (D, F).
Step 2: Identify D and F's two sons.
B, E's father, is one son of this couple, since F is E's grandfather through B. G, called E's uncle, must be the second son, because an uncle by blood is the sibling of a parent, and B already occupies the "parent" role.
Step 3: Fix B's marriage.
B is E's father, so B's wife is E's mother. Working through the remaining letters, the only person left with no fixed role yet is A, so A must be B's wife, giving couple (A, B).
Step 4: Fix G's marriage.
The only remaining unmarried person, other than E who stays single, is C. C is D's daughter-in-law, which fits marrying either of D's sons, and C is also called B's sister-in-law, a title that only fits if C is married to B's brother rather than to B himself. Since G is that brother, C must be married to G, giving couple (C, G).
Step 5: Put all three couples together.
The three married couples are (A, B), (C, G) and (D, F), which together with E makes the full family of 7.
Final Answer:
The couples are (A, B), (C, G) and (D, F).
\[ \boxed{(A,B),\ (C,G),\ (D,F)} \]
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