There are four questions based on the same puzzle. Answer the questions based…

2024

There are four questions based on the same puzzle. Answer the questions based on the given information

A, S, O, D, F, T are members of a family consisting of 3 men and 3 women among whom there are two married couples. We also known that:

I. O is the son of S

II. T is the daughter of D

III. F is the grandson of A

IV. D is the mother of a girl and a boy

V. S is not the father of O

VI. All the relationship mentioned above are between these six persons only.

O's father is?

  1. A.

    F

  2. B.

    D's father

  3. C.

    S

  4. D.

    A

Show answer & explanation

Correct answer: D

Concept:

In blood-relations puzzles, first use the explicit son/daughter and father/mother clues to pin down each person's gender and parent-child link. Then use the married-couple structure together with any grandson/granddaughter clue to fix which generation-couple each person belongs to. Only once gender and generation are both locked can a specific relative be named with certainty.

Application:

  1. From clue I, O is the son of S, so S is a parent of O.

  2. From clue V, S is not the father of O; since S is already known to be O's parent, S must be O's mother.

  3. From clue II, T is the daughter of D, so D is a parent of T. From clue IV, D is the mother of a girl and a boy among the six, so D has two children in this family.

  4. With S fixed as O's mother and the family limited to two married couples, O himself must be married to D (the only way for D to have two children within just these six people) — so O and D form the parent-generation couple, and their children are F and T (the boy and the girl of clue IV).

  5. This makes S and the remaining person, A, the elder couple, since the couple's own child O has now been placed with D. A is therefore S's husband and O's father.

  6. Clue III confirms this: F is the grandson of A. Since A → O → F is exactly two generations, F being A's grandson is only possible if A is O's father — matching the assignment above.

Cross-check:

With A–S as one couple (parents of O) and O–D as the other couple (parents of F and T): O is S's son (clue I), T is D's daughter (clue II), F is A's grandson via O (clue III), D is mother of a girl (T) and a boy (F) (clue IV), S is O's mother and not his father (clue V), and all six relationships stay within the same six people (clue VI). Every clue holds, so O's father is A.

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