In a certain code language, ‘A + B’ means ‘A is the son of B’, ‘A − B’ means…

2025

In a certain code language,

‘A + B’ means ‘A is the son of B’,

‘A − B’ means ‘A is the brother of B’,

‘A × B’ means ‘A is the wife of B’ and

‘A ÷ B’ means ‘A is the father of B’.

Based on the above, how is D related to J if ‘D + F ÷ G × H − J’?

  1. A.

    Brother's wife's brother

  2. B.

    Brother's wife's father

  3. C.

    Wife's brother

  4. D.

    Wife's father

Attempted by 2 students.

Show answer & explanation

Correct answer: A

In a coded blood-relation question, first decode every symbol into its literal family relation using the given key. Then read the expression left to right as a chain of consecutive pairs, converting each pair into one directed family link (parent, child, sibling, or spouse). Once all the links are known, redraw them as a small family tree and read off the relation between the two named people by combining standard kinship terms (for example, father's father = grandfather, brother's wife = sister-in-law) rather than guessing directly from the symbols.

  1. Decode the key: '+' = son of, '−' = brother of, '×' = wife of, '÷' = father of.

  2. Split the expression 'D + F ÷ G × H − J' into consecutive pairs: D+F, F÷G, G×H, H−J.

  3. D + F: D is the son of F, so F is D's parent (D is male, so D is F's son).

  4. F ÷ G: F is the father of G, so F is also G's parent — D and G share the same parent F, making D and G siblings; since D is male, D is G's brother.

  5. G × H: G is the wife of H, so G is married to H.

  6. H − J: H is the brother of J, so H and J are siblings, with H male.

  7. Combine the links from J's side: J's brother is H; H's wife is G; G's brother is D. So D is linked to J as J's brother's wife's brother.

Cross-check by re-tracing from J: J's sibling is H (from H − J); H's spouse is G (from G × H); G's sibling is D, since D and G share the same father F (from D + F and F ÷ G). The chain J → brother (H) → wife (G) → brother (D) reproduces the same path, confirming the link is consistent.

Therefore, D is related to J as J's brother's wife's brother.

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