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 correct statement that is NOT correct (i.e., the false statement) is: C is taller than D.

Let us analyze the given information step-by-step to understand why this statement is incorrect:

1. Analyze the Group and Relationships:
The group consists of four persons (A, B, C, and D) forming two married couples.
We are given that "D is B’s brother". Since D is a male (brother) and B's sibling, they cannot be married to each other.
Since D is male and there are two married couples, B's husband cannot be D. Thus, the two males in the group must be the husbands, and the two females must be the wives.
If D is a male, and there are two married couples consisting of two husbands and two wives, then D must be one of the husbands. The other male (husband) must be A (since we will see how the heights and genders align). Let's determine the genders and couples.

2. Analyze the Genders and Couples:
D is male (B's brother). B must be female because if B were male, then B and D would both be males, and since A is the tallest and we are told both women are shorter than their husbands, we need two males and two females. If B and D are brothers (both male), then the two males are B and D, and the two females would be A and C. But A is the tallest, and we know "both the women are shorter than their respective husbands."
Let us check: If B is female and D is male (brother of B).
Since D is male, the other male must be A or C. Let us look at the height relations:
"Both the women are shorter than their respective husbands."
"A is the tallest among the four." Since A is the tallest, A must be a male (husband), because if A were a woman, she would have to be shorter than her husband, which contradicts A being the tallest of all four.
Thus, A is male (husband).
Since A and D are the two males (husbands), B and C must be the two females (wives).
Since D is B's brother, B cannot be married to D. Therefore, B must be married to A, and C must be married to D.
So the couples are:
- Husband A married to Wife B.
- Husband D married to Wife C.

3. Analyze the Heights:
We know the following about their heights:
- A is the tallest: A > all others.
- Women are shorter than their respective husbands:
For couple (A, B): A > B.
For couple (D, C): D > C.
- We are also given: C > B.
Combining the height relations, we have:
A is the tallest, so A > D.
We also know D > C and C > B.
Putting it all together in order of decreasing height:
A > D > C > B.

4. Evaluate the Options:
- "All four have family ties.": This is correct because they consist of two married couples, and D is B's brother, connecting both couples into a single family network.
- "B is the shortest among the four.": Based on our height order (A > D > C > B), B is indeed the shortest. This statement is correct.
- "A is B’s husband.": As deduced, A is married to B. This statement is correct.
- "C is taller than D.": Based on our height order, D > C (since husband D must be taller than his wife C). Therefore, C is shorter than D, making the statement "C is taller than D" incorrect (not correct).