Understanding the Blood Relation Coding

The question provides a set of coded relationships:

• 'A + B' means 'A is the sister of B'.
• 'A - B' means 'A is the brother of B'.
• 'A × B' means 'A is the father of B'.
• 'A ÷ B' means 'A is the wife of B'.

We are given an expression combining these codes: A + B - C ÷ D × E - F. We need to decode this expression to understand the relationships between the individuals A, B, C, D, E, and F, and then check which of the given statements is not correct.

Decoding the Given Expression

Let's break down the expression step by step:

• A + B: A is the sister of B. This tells us A is female.
• B - C: B is the brother of C. This tells us B is male.
• Combining the first two parts (A+B and B-C), we know A and B are siblings, and B and C are siblings. Therefore, A, B, and C are siblings. A is female, and B is male. C's gender is not yet determined by this part alone.
• C ÷ D: C is the wife of D. This tells us C is female and D is male. Since C is the wife of D, D is the husband of C.
• D × E: D is the father of E. This confirms D is male and E is his child.
• E - F: E is the brother of F. This tells us E is male.

Building the Family Relationships

Based on the decoding, we can piece together the relationships:

• A, B, and C are siblings. A is female, B is male, C is female.
• C is married to D (C is wife, D is husband).
• D is the father of E. Since C is D's wife, C is the mother of E.
• E is the brother of F. This means E and F are siblings. Since D is the father of E and C is the mother of E, D and C are also the parents of F.
• E is male, F's gender is not specified in E - F relationship alone.

So, A, B, and C are siblings. C and D are a married couple, and they have children E and F. E is the son of C and D, and is the brother of F. A and B are C's siblings, which makes them E and F's aunt (A) and uncle (B).

Evaluating Each Statement

Now let's evaluate each given statement against the relationships we have derived:

1. C is the mother of F. We deduced that C and D are the parents of E and F. Therefore, C is the mother of F. This statement is correct.
2. E is the brother of B. E is the son of C, who is the sister of B. This means E is B's nephew, not B's brother. This statement is incorrect.
3. A is the sister of the wife of D. The wife of D is C. The statement is "A is the sister of C". From our decoding, A, B, and C are siblings, and A is female. Thus, A is the sister of C. This statement is correct.
4. A is the sister of C. As explained in the evaluation of statement 3, A, B, and C are siblings, and A is female. Therefore, A is the sister of C. This statement is correct.

Identifying the Incorrect Statement

We analyzed each statement and found that the statement "E is the brother of B" is not correct based on the given coded relationships.

Revision Table: Blood Relation Codes

Additional Information on Blood Relation Problems

Blood relation problems often require you to carefully decode the relationships and visualize or draw a family tree to keep track of the generations and connections. Key tips include:

• Identify the gender of individuals where possible.
• Determine the generation level for each person relative to others (e.g., parent generation, child generation, same generation).
• Combine relationships from the expression step by step.
• Pay close attention to what the question asks (e.g., find the correct statement, find the incorrect statement).
• Common relationships include parent, child, sibling, aunt, uncle, niece, nephew, grandparent, grandchild, cousin.