Directions: Read the following information carefully and answer the questions that follow.
Eight members belong to a family that contains exactly two married couples. H is the grandmother of Y. V is the son-in-law of R. B has exactly two children, who are of opposite genders. P is the only brother of Q, and Q is female. W is the brother-in-law of V. W is the uncle of Q. Y is the niece of Q. Q and B are of the same gender.
How many female members live in the family?
Correct Answer :
Four
Solution :
The correct option is Four.
Step-by-step explanation:
To find the total number of female members in the family, let us analyze the given clues step-by-step to determine the gender and relationships of all 8 family members (H, R, B, V, W, P, Q, Y):
1. Identify Generation 1 (Grandparents):
• "H is the grandmother of Y" ⇒ H is female (Grandmother).
• "V is the son-in-law of R" ⇒ R belongs to Generation 1 and is married to H. Thus, R is male (Grandfather), making (R, H) the 1st married couple.
2. Determine Generation 2 (Parents and Siblings):
• "Q and B are of the same gender" and "Q is female" ⇒ B is female.
• Since V is the son-in-law of R, V (Male) is married to B (Female), forming the 2nd married couple.
• "W is the brother-in-law of V" and "W is the uncle of Q" ⇒ W is male, who is the brother of B (son of R and H).
3. Determine Generation 3 (Children):
• "P is the only brother of Q, and Q is female" ⇒ P is male and Q is female. They are the two children of B and V (opposite genders, fulfilling the clue that B has exactly two children of opposite genders).
• "Y is the niece of Q" ⇒ Y is female and is the daughter of P (Q's brother).
4. Gender Classification Summary:
• Female Members (4): H, B, Q, Y
• Male Members (4): R, V, W, P
Therefore, there are exactly 4 female members living in the family.
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