Madan’s brother’s uncle is Karan's father's brother. What can be the…

2023

Madan’s brother’s uncle is Karan's father's brother. What can be the relationship between Madan and Karan?

Answer: B. Madan is Karan’s brotherConceptIn a blood-relation chain, assign a generation level G(X) to each person. Siblings share a generation, and a parent’s sibling is one generation above…

  1. A.

    Madan is Karan’s uncle

  2. B.

    Madan is Karan’s brother

  3. C.

    Madan is Karan’s son

  4. D.

    More than one of the above

  5. E.

    None of the above

Attempted by 8 students.

Show answer & explanation

Correct answer: B

Concept

In a blood-relation chain, assign a generation level G(X) to each person. Siblings share a generation, and a parent’s sibling is one generation above the child. Equal generation levels do not by themselves prove a shared parent; when the stem asks what “can be” true, one valid family-tree construction is sufficient.

Application

  1. Let B be Madan’s brother and U be B’s uncle. Since Madan and B are siblings, G(B) = G(Madan). Since U is B’s uncle, G(U) = G(Madan) − 1.

  2. Let F be Karan’s father. Since U is also F’s brother, G(U) = G(F) = G(Karan) − 1.

  3. Equating the two expressions for G(U) gives G(Madan) = G(Karan), so Madan and Karan must be in the same generation.

  4. A valid construction is to make Madan and Karan sons of the same father F. Then U is F’s brother, so U is both Madan’s brother’s uncle and Karan’s father’s brother. In this construction, Madan and Karan are brothers.

Cross-check

  • “Madan is Karan’s uncle” would require G(Madan) = G(Karan) − 1, which conflicts with the derived equal-generation condition.

  • “Madan is Karan’s son” would require G(Madan) = G(Karan) + 1, which also conflicts with the derived condition.

  • A cousin relationship can also fit an equal-generation family tree, but it is not one of the offered direct relationships. Its existence does not invalidate the question’s “can be” wording.

  • Among the listed direct relationships, only the brother relationship has a valid construction, so the set-based choices do not apply.

Therefore, Madan can be Karan’s brother.

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