Solving Blood Relation Reasoning Problems

This question asks us to determine the relationship between two individuals, A and E, based on a coded expression representing familial relationships. We are given a set of codes linking symbols (+, -, *, %) to specific blood relations.

Understanding the Blood Relation Codes

Let's first understand what each symbol means according to the problem statement:

• P + Q means 'P is the father of Q'
• P - Q means 'P is the mother of Q'
• P * Q means 'P is the sister of Q'
• P % Q means 'P is the brother of Q'

Analyzing the Given Expression: A - B % C * D + E

We need to break down the expression A - B % C * D + E from left to right or segment by segment to build the family tree or chain of relationships. The expression involves the following pairs connected by symbols:

1. A - B: This means A is the mother of B.
2. B % C: This means B is the brother of C.
3. C * D: This means C is the sister of D.
4. D + E: This means D is the father of E.

Tracing the Family Relationships

Let's combine these relationships to see how everyone is connected, especially focusing on the path from E back to A:

• From D + E, we know D is the father of E.
• From C * D, we know C is the sister of D. This implies C is E's father's sister, which means C is E's aunt.
• From B % C, we know B is the brother of C. Since C is the sister of D, and B is the brother of C, B must also be the brother of D. This implies B is E's father's brother, which means B is E's uncle.
• From A - B, we know A is the mother of B. Since B is the son of A and B is the brother of D, A must also be the mother of D.

So, we have established that D is the father of E and A is the mother of D.

Determining the Relationship of A to E

If D is E's father and A is D's mother, then A is the mother of E's father. The mother of one's father is their paternal grandmother.

Therefore, A is E's father's mother.

Comparing with the Options

Let's look at the given options:

1. Mother
2. Father’s sister
3. Sister
4. Father’s mother

Our derived relationship, "Father's mother", matches option 4.

Combining the relationships:

• D is Father of E.
• C is Sister of D $\implies$ C is E's Father's Sister (Aunt).
• B is Brother of C $\implies$ B is also Brother of D (since C is Sister of D). B is E's Father's Brother (Uncle).
• A is Mother of B. Since B is Brother of D, A is Mother of D.

A is Mother of D, and D is Father of E. Thus, A is the Mother of E's Father.

Conclusion

Based on the blood relation codes and the expression A - B % C * D + E, A is the father's mother of E.

Revision Table: Blood Relation Codes

Additional Information on Blood Relations

Blood relation problems in reasoning test your ability to understand and interpret family relationships based on given information or codes. These problems often involve constructing a mental or physical family tree to visualize the connections between different individuals. Key relationships to remember include parent-child, sibling, grandparent-grandchild, uncle/aunt-nephew/niece, and cousin.

When solving such problems, it's helpful to:

• Identify the gender where indicated (e.g., mother, father, sister, brother). If gender is not explicitly stated for an individual, do not assume it unless deduced from the relationship (e.g., 'P is brother of Q' tells you P is male, but says nothing about Q's gender).
• Break down complex expressions into smaller, manageable segments.
• Build the family tree step-by-step, connecting individuals as you go.
• Trace the relationship path from the person whose relationship is unknown back to the person you are starting from.
• Be careful with the direction of the relationship (e.g., P is mother of Q is different from Q is mother of P).