If P × Q means P is the brother of Q, P ÷ Q means P is the son of Q, and P + Q…

2022

If P × Q means P is the brother of Q, P ÷ Q means P is the son of Q, and P + Q means P is the sister of Q, how can the statement ‘P is the nephew of Q’ be represented?

Answer: D. P ÷ R + QConcept: In coded blood-relation questions, decode each adjacent pair independently and then join the pairs through their shared person. A nephew is a male…

  1. A.

    P × R ÷ Q

  2. B.

    P + R × Q

  3. C.

    P ÷ R × P + R

  4. D.

    P ÷ R + Q

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Correct answer: D

Concept: In coded blood-relation questions, decode each adjacent pair independently and then join the pairs through their shared person. A nephew is a male child of a person’s brother or sister.

Application: Decode the chain P ÷ R + Q from left to right.

  1. P ÷ R means that P is the son of R, so P is male and one generation below R.

  2. R + Q means that R is the sister of Q, so R and Q are siblings.

  3. Combining the two statements makes P the son of Q’s sister, which is the nephew relationship asked for.

Cross-check and contrast: The remaining expressions produce different family structures.

  • P × R ÷ Q makes P the brother of R and R the son of Q, placing P in Q’s child generation rather than below a sibling of Q.

  • P + R × Q makes P the sister of R and R the brother of Q, placing P in Q’s sibling generation and identifying P as female.

  • P ÷ R × P + R assigns P and R both parent-child and sibling roles, so the relations are internally inconsistent.

Result: The required representation is P ÷ R + Q.

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