Study the information carefully and answer the question given below. Eight…

Concept

In a family / blood-relation puzzle, gender and generation are fixed from the structural words. A son's wife is a daughter-in-law; an aunt who is not a blood sister of a parent must be an uncle's wife; the phrase "X has no daughter" forces every one of X's own children to be a son; and "no single parent" means every parent in the family is part of a married couple.

Application

Work through the clues one at a time:

1. B is the grandfather of A, so B is a male in the eldest generation; with no single parent, B has a wife in the same generation, and that wife is D (G is her daughter-in-law).

2. B has no daughter, so every blood child of B and D is a son.

3. H is the aunt of A but cannot be a blood sister of A's parent (B has no daughter), so H is an uncle's wife, i.e. H married a son of B and D.

4. G is the daughter-in-law of D, so G also married a son of B and D; hence B and D have at least two married sons.

5. C is married and G is the sister-in-law of C, so C is the brother of G's husband, which makes C yet another son of B and D.

6. E is the brother of F and has no child, so E and F are brothers in the middle generation (both sons of B and D, since B has no daughter); the son who actually has a child is the parent of A, and E is the childless son.

7. A is the grandchild; A's parents are the son married to G plus G herself; the remaining married son and his wife H are the uncle and aunt of A.

8. C and A are of opposite gender; C is one of the (male) sons, so A is female.

Cross-check

This assignment satisfies every clue: B has no daughter (all of B and D's children are sons), there is no single parent (B with D, the parent-son with G, and the married son with H are all couples), H is an aunt and E is childless. Now tally the members:

• Males: B (grandfather) and the three brothers in the middle generation.

• Females: D (grandmother), the two daughters-in-law, and the youngest-generation grandchild.

Counting the male members gives a total of four. Hence the number of male members in the family is Four.