Decoding Blood Relations from Symbolic Expressions

This question asks us to decode a relationship expression based on given definitions for symbols. We need to understand the meaning of each symbol and then apply it step-by-step to the given expression W % X $ Y & Z to find the relationship between W and Z.

Understanding the Symbol Definitions

Let's break down what each symbol means in terms of blood relations:

• C % D means C is the mother of D. This tells us C is female.
• C $ D means C is the wife of D. This tells us C is female and D is male.
• C & D means C is the son-in-law of D. This tells us C is male, and C is married to D's daughter.

Analyzing the Expression: W % X $ Y & Z

We will decode the expression from left to right, linking the individuals based on the symbols:

Part 1: W % X

According to the definition of '%', W % X means W is the mother of X.

This tells us that:

• W is female.

Part 2: X $ Y

This part connects X and Y. According to the definition of '$', X $ Y means X is the wife of Y.

This tells us that:

• X is female.
• Y is male (since Y is the husband of X).

From Part 1, we know W is the mother of X. Now we know X is the wife of Y. So, W is the mother of Y's wife.

Part 3: Y & Z

This part connects Y and Z. According to the definition of '&', Y & Z means Y is the son-in-law of Z.

This tells us that:

• Y is male (which we already deduced).
• Y is married to the daughter of Z.

Combining the Relationships

Let's put all the pieces together:

1. W is the mother of X.
2. X is the wife of Y.
3. Y is the son-in-law of Z.

From point 2 and 3, Y is married to X, and Y is the son-in-law of Z. A son-in-law is the husband of someone's daughter. Since Y is married to X, X must be the daughter of Z.

So, we have:

• W is the mother of X.
• X is the daughter of Z.

If W is the mother of X and X is the daughter of Z, then W and Z must be the parents of X. W is already identified as female (mother). Since Z is a parent of X and X's other parent is W (the mother), Z must be the father of X. For W to be the mother and Z to be the father of the same child X, W and Z must be married to each other.

Since W is female and Z is male (as deduced from Y being Z's son-in-law, meaning Z has a daughter X), the relationship between W and Z is that W is the wife of Z, and Z is the husband of W.

Evaluating the Options

Let's check our derived relationship against the given options:

1. W is the daughter of son of Z: This is incorrect. W is a parent of X, who is the daughter of Z.
2. Z is wife of W: This is incorrect. Z is male (father of X), and W is female (mother of X). Z is the husband of W.
3. Z is the daughter of W: This is incorrect. Z is male, and Z is a parent of X, while W is also a parent of X.
4. Z is the husband of W: This matches our deduction.

Therefore, the correct relationship derived from the expression W % X $ Y & Z is that Z is the husband of W.

Relationship Summary

• W % X → W is mother of X (W: Female)
• X $ Y → X is wife of Y (X: Female, Y: Male)
• Y & Z → Y is son-in-law of Z (Y: Male, Y married to Z's daughter)

From X $ Y, X is wife of Y. From Y & Z, Y married Z's daughter. This implies X is Z's daughter.

W is mother of X. X is daughter of Z.

So, W and Z are parents of X. W is mother, Z must be father.

W and Z are married. Z is male, W is female. Z is the husband of W.

Blood Relations Revision Table

Additional Information on Blood Relations Reasoning

Blood relations questions test your ability to understand and deduce relationships between individuals based on given information. This often involves using symbols or worded descriptions to build a family tree or chain of relationships.

• Decoding Symbols: Pay close attention to the exact meaning of each symbol and which person (the one before or after the symbol) holds the specified relationship.
• Gender Identification: Identify the gender of individuals whenever possible from the relationship definitions (e.g., mother is female, husband is male, son-in-law is male). This helps eliminate incorrect possibilities.
• Step-by-Step Analysis: Break down complex expressions into smaller parts. Analyze each part to determine the relationship between the connected individuals.
• Combining Information: Link the relationships found in each step to build a complete picture. For instance, if A is the parent of B, and B is the parent of C, then A is the grandparent of C.
• Family Tree Diagram: For more complex problems, drawing a simple family tree diagram can be very helpful in visualizing the relationships and avoiding confusion.

Practice with different types of blood relation problems, including those with symbols, puzzles, and paragraph-based descriptions, is key to mastering this topic for competitive exams.