Four persons A, B, C and D consisting of two married couples are in a group. Both the women are shorter than their respective husbands. A is the tallest among the four. C is taller than B. D is B's brother. In this context, which one of the following statements is not correct?

The problem requires us to deduce relationships and height order from the given clues and then identify the incorrect statement among the options.

Let's break down the information:

1. Four persons A, B, C, D, consisting of two married couples. This implies there are two men and two women.
2. Both women are shorter than their respective husbands.
3. A is the tallest among the four.
4. C is taller than B (C > B).
5. D is B's brother.

Step-by-step deduction:

1. From "D is B's brother" (Clue 5): D is male. Since there are two married couples, and D is male, B must be female (if B were male, we'd have two brothers and only one female left for two couples, which isn't possible).
2. Genders: Since D is male and B is female, and there are two men and two women, the other male must be A, and the other female must be C. So, Males: A, D. Females: B, C.
3. From "D is B's brother" (Clue 5) and the general understanding of such puzzles, siblings are typically not married to each other unless explicitly stated. Therefore, D and B cannot be a married couple.
4. Forming couples:
   • Since D (male) cannot marry B (female), D must marry C (female).
   • This leaves A (male) to marry B (female). So, the couples are (A, B) and (D, C).
5. Check height conditions for these couples (Clue 2: women are shorter than their husbands):
   • For couple (A, B): A (husband) > B (wife). This is consistent with Clue 3, "A is the tallest among the four," which means A is taller than everyone, including B.
   • For couple (D, C): D (husband) > C (wife). This must be true.
6. Combine all height information:
   • A is the tallest (Clue 3).
   • C is taller than B (Clue 4: C > B).
   • D is taller than C (derived from D being C's husband: D > C).
   • Since A is the tallest, A must be taller than D (A > D). Combining these, we get a unique height order: A > D > C > B.

Now let's evaluate each statement/option based on this unique deduction:

A) All four have family ties.

• A and B are married. D and C are married. D is B's brother. Yes, they are all related. This statement is CORRECT.

B) B is the shortest among the four.

• Our derived height order is A > D > C > B. B is indeed the shortest. This statement is CORRECT.

C) C is taller than D.

• Our derived height order is A > D > C > B. This clearly shows that D is taller than C (D > C). Therefore, the statement "C is taller than D" is NOT CORRECT.

D) A is B's husband.

• Based on our deduction, A is indeed married to B. This statement is CORRECT.

Since the question asks for the statement that is NOT correct, option C is the answer.

The final answer is C