Solving Blood Relation Questions with Symbols

Blood relation questions involve understanding the relationship between different people based on given coded relationships. In this specific problem, we are given a set of symbols representing different relationships like sister, father, husband, brother, wife, and mother-in-law. We need to decode an expression using these symbols and determine the relationship between two individuals, A and K.

Understanding the Code Definitions

Let's first list down what each symbol means as given in the problem:

• B % D: B is the sister of D ($\text{B}$ is female)
• B & D: B is the father of D ($\text{B}$ is male)
• B $\times$ D: B is the husband of D ($\text{B}$ is male, $\text{D}$ is female)
• B # D: B is the brother of D ($\text{B}$ is male)
• B $ D: B is the wife of D ($\text{B}$ is female, $\text{D}$ is male)
• B @ D: B is the mother-in-law of D ($\text{B}$ is female)

From these definitions, we can also deduce the gender of the first person (B) in each relation, which is crucial for building the family tree or chart.

Decoding the Expression: A × B @ C $ D # E & K

Now, let's break down the given expression segment by segment from left to right and build the relationships:

1. $\text{A } \times \text{ B}$: A is the husband of B.
   • This means A is male (+).
   • This means B is female (-).
   • A and B are a married couple.
2. $\text{B @ C}$: B is the mother-in-law of C.
   • Since B is female, she is the mother of C's spouse.
   • B is married to A. So, B is the mother of the child born to A and B, who is married to C.
   • Let X be the child of A and B who is married to C. B is X's mother, and B is mother-in-law of C.
3. $\text{C $ D}$: C is the wife of D.
   • This means C is female (-).
   • This means D is male (+).
   • From the previous step, X is married to C. Since C is married to D, X must be D.
   • So, D is the child of A and B, and D is married to C. D is male (+), C is female (-).
4. $\text{D # E}$: D is the brother of E.
   • This means D is male (+). This matches our deduction from the previous step.
   • This means E is also a child of the parents of D.
   • Since D is a child of A and B, E is also a child of A and B.
   • This means E is male (+).
5. $\text{E & K}$: E is the father of K.
   • This means E is male (+). This matches our deduction from the previous step.
   • K is the child of E. The gender of K is not specified by this relation.

Summarizing the Relationships

Based on the step-by-step decoding, we can summarize the family connections:

• A (+) and B (-) are married.
• D (+) and E (+) are siblings and are children of A and B.
• D (+) is married to C (-). C is their daughter-in-law.
• E (+) is the father of K. K is the child of E.

Determining the Relation of A to K

We need to find how A is related to K.

• A is the father of E (since E is A and B's child and A is B's husband).
• E is the father of K.

If A is the father of E, and E is the father of K, then A is the father of K's father. The father of one's father is one's grandfather.

Therefore, A is the grandfather of K.

Let's verify the relation of B to K as well, although not asked. B is the mother of E. E is the father of K. So, B is the mother of K's father, which means B is the grandmother of K.

Final Answer Derivation

The relation between A and K derived from the expression is that A is the grandfather of K.

Combining these:
A (+) - B (-) are married.
D (+) and E (+) are their children.
D (+) is married to C (-).
E (+) is the father of K.

A is the father of E. E is the father of K. Thus, A is the grandfather of K.

Revision Table: Key Relations

Additional Information: Tips for Solving Blood Relation Questions

Solving blood relation questions with symbols requires careful step-by-step analysis. Here are some helpful tips:

• Decode Symbols First: Understand what each symbol represents, including the gender implications of the relationship.
• Break Down the Expression: Analyze the expression segment by segment from left to right.
• Determine Gender: Always determine the gender of each person involved in a relationship if the symbol implies it. This helps in building the family tree.
• Build a Family Tree/Chart: Drawing a diagram can be very helpful. Use symbols like '+' for male, '-' for female, '=' for marriage, and vertical lines for parent-child relationships.
• Connect Segments: Link the information from one segment to the next as you move along the expression.
• Identify the Target Relation: Clearly understand whose relation to whom is being asked.
• Trace the Path: Once the tree is built, trace the path between the two individuals mentioned in the question to determine their relationship.

Practice with different types of blood relation problems to improve speed and accuracy.