Directions: Six members of a family are travelling these are a, b, c, d, e,…

Concept: In a blood-relation puzzle, first pin down the gender and generation of every named person using the direct clues (parent-child, sibling, marriage) to build a family tree. Only once every person's role is fixed can a relationship question be answered — if the clues never establish a particular relationship, the correct answer is “cannot be determined,” not a guess.

Application:

1. b is the son of c, but c is not the mother of b, so c is male and is b's father.

2. a and c are a married couple, so a is c's wife; since c is b's father, a is b's mother.

3. d is the daughter of a, so d is also a and c's child — a sibling of b.

4. f is the brother of b, so f is another child of the a-c couple, alongside b and d.

5. e is the brother of c — c's sibling, one generation above b, d and f, and outside the a-c couple's household.

6. Scanning all six clues: none of them mentions e's marital status or names anyone as e's spouse — a is already c's wife, and b, d, f are children of a and c, not e's generation.

Cross-check: Re-reading each of the six statements confirms not one of them touches e's marriage, so the wife of e genuinely cannot be worked out from the information given.

Answer: it cannot be determined from the given information.