Understanding Blood Relation Coding

This question is based on blood relations where relationships are represented by coded symbols. We are given an expression involving these symbols and need to deduce the relationships to find the true statement among the options.

Let's first understand the meaning of each code symbol provided:

• \$A + B\$ means 'A is the brother of B'
• \$A - B\$ means 'A is the father of B'
• \$A × B\$ means 'A is the mother of B'
• \$A ÷ B\$ means 'A is the wife of B'

Decoding the Expression 'P × Q - R ÷ S + T'

Now, let's break down the given expression step-by-step from left to right to determine the relationships between the individuals P, Q, R, S, and T.

• P × Q: According to the code, \$A × B\$ means 'A is the mother of B'. So, 'P × Q' means P is the mother of Q. This tells us P is female. Q's gender is not revealed by this part alone.
• Q - R: According to the code, \$A - B\$ means 'A is the father of B'. So, 'Q - R' means Q is the father of R. This tells us Q is male. R's gender is not revealed by this part alone.
• R ÷ S: According to the code, \$A ÷ B\$ means 'A is the wife of B'. So, 'R ÷ S' means R is the wife of S. This tells us R is female and S is male.
• S + T: According to the code, \$A + B\$ means 'A is the brother of B'. So, 'S + T' means S is the brother of T. This tells us S is male. T's gender is not revealed by this part alone (T could be a brother or a sister of S).

Synthesizing the Relationships

Let's combine the deduced relationships:

1. P is the mother of Q.
2. Q is the father of R.
3. R is the wife of S.
4. S is the brother of T.

From point 1 and 2, P is the mother of Q, and Q is the father of R. This means Q is a child of P, and R is a child of Q. Thus, P is the grandparent of R, specifically, P is R's grandmother.

From point 3, R is married to S.

From point 4, S is the brother of T.

Evaluating the Options

Now let's examine each given option based on the relationships we have determined:

• Option 1: T is the brother of R.

  We know R is married to S, and S is the brother of T. This makes T the sibling-in-law of R (brother-in-law if T is male, sister-in-law if T is female). T is not the direct brother of R. So, this statement is false.

• Option 2: P is the mother of R.

  We know P is the mother of Q, and Q is the father of R. This makes P the grandmother of R, not the mother of R. So, this statement is false.

• Option 3: T is the sister of S.

  We know S is the brother of T. This means T is a sibling of S. T could be a brother or a sister. We cannot confirm that T is specifically the sister of S. So, this statement is not necessarily true based on the given information.

• Option 4: Q is the son of P.

  We know P is the mother of Q from 'P × Q'. We also know Q is the father of R from 'Q - R', which confirms that Q is male. If P is the mother of Q and Q is male, then Q is indeed the son of P. So, this statement is true.

Based on the analysis, the statement 'Q is the son of P' is the only one that is true according to the given code and expression.

Revision Table - Blood Relation Codes

Additional Information - Solving Blood Relation Puzzles

Blood relation questions in reasoning tests assess your ability to understand and decipher relationships within a family based on given information. Coded blood relation problems replace standard relationship terms with symbols or artificial codes. To solve them effectively:

• Carefully note down the meaning of each code or symbol provided.
• Break down the given expression step-by-step, evaluating the relationship for each pair connected by a symbol.
• Keep track of the gender of individuals whenever indicated by a relationship (e.g., 'father' implies male, 'mother' implies female, 'wife' implies female, 'husband' implies male, 'brother' implies male, 'sister' implies female). If a relationship like 'child' or 'sibling' is mentioned without gender, keep it ambiguous unless clarified later.
• Synthesize the step-by-step relationships to build a complete picture of the family structure involved in the expression. You can mentally draw a family tree or diagram, but it's not strictly necessary if you can track the relationships clearly.
• Evaluate each option against the complete family structure you have deduced.
• Look for keywords like 'is the brother of', 'is the mother of', etc., in the options and match them with your findings.

Practice with different types of blood relation problems, including those with direct statements and those with codes, to improve speed and accuracy.