Solving Blood Relations Puzzles with Coded Language

This question asks us to analyze a set of coded relationships and determine which given statement is incorrect. We are given symbols representing specific family relationships and a coded expression involving several individuals (P, Q, R, S, T, U). We need to decode the expression and then evaluate each statement.

Decoding the Blood Relation Symbols

First, let's understand the meaning of each symbol provided:

• ‘A + B’ means ‘A is the brother of B’
• ‘A - B’ means ‘A is the mother of B’
• ‘A × B’ means ‘A is the husband of B’
• ‘A ÷ B’ means ‘A is the sister of B’

Analyzing the Coded Expression: P ÷ Q - R + S - T × U

Let's break down the given expression segment by segment to establish the relationships between the individuals:

• P ÷ Q: According to the rule 'A ÷ B' means 'A is the sister of B', P is the sister of Q.
• Q - R: According to the rule 'A - B' means 'A is the mother of B', Q is the mother of R.
• R + S: According to the rule 'A + B' means 'A is the brother of B', R is the brother of S.
• S - T: According to the rule 'A - B' means 'A is the mother of B', S is the mother of T.
• T × U: According to the rule 'A × B' means 'A is the husband of B', T is the husband of U. This also means U is the wife of T.

Establishing the Family Relationships

Now, let's combine these decoded relationships to understand the overall family structure:

• P is Q's sister.
• Q is R's mother. Since Q is R's mother, and P is Q's sister, P is R's aunt (mother's sister).
• R is S's brother. Since Q is R's mother and R is S's brother, Q is also S's mother.
• S is T's mother. Since Q is S's mother and S is T's mother, Q is T's grandmother.
• T is U's husband. Since S is T's mother and T is U's husband, S is U's mother-in-law.

Evaluating Each Statement

Let's check each given statement against the relationships we've deduced:

1. R is T’s mother’s brother.

   We know S is T's mother and R is S's brother. Therefore, R is indeed T's mother's brother. This statement is correct.

2. P is the mother-in-law of U.

   We know T is U's husband and S is T's mother. This makes S the mother-in-law of U. P is Q's sister, and Q is S's mother. So, P is S's aunt. P is not the mother-in-law of U. This statement is incorrect.

3. Q is the mother of S.

   We know Q is R's mother and R is S's brother. If R is S's brother, they have the same parents. Since Q is R's mother, Q must also be S's mother. This statement is correct.

4. P is R’s mother’s sister.

   We know Q is R's mother and P is Q's sister. Therefore, P is R's mother's sister. This statement is correct.

Based on our evaluation, the statement that is NOT correct is "P is the mother-in-law of U."

Revision Table: Summarizing Relationships

Additional Information: Coded Blood Relations

Coded blood relations questions are a common type in logical reasoning sections of competitive exams. They test your ability to decode information presented in symbolic form and apply it to establish family relationships. Here are some tips for solving such problems:

• Read the definitions of the codes carefully. Note down which symbol corresponds to which relationship.
• Break down the given expression into smaller pairs based on the operators.
• Establish the direct relationship for each pair.
• Combine the direct relationships sequentially to determine indirect relationships between individuals who are further apart in the expression.
• Drawing a simple family tree diagram can sometimes help visualize the relationships, especially in complex expressions, but be mindful of gender representation (sister/brother indicates gender, mother/father indicates gender, husband/wife indicates gender, but cousin/sibling might not).
• Carefully read each statement provided in the options and verify its truthfulness based on the family structure you've decoded.
• Pay attention to the question asking for the "correct" statement versus the "incorrect" statement.

Practice is key to quickly and accurately solving coded blood relations questions.