If R ÷ S means that R is the mother of S, R × S means that R is the father of S, R - S means that R is the sister of S, then which of the following expression shows that P is the father of R?
P × Q - R
Understanding Blood Relation Codes
This question asks us to identify the expression that represents the relationship where P is the father of R, based on the given code language for blood relations.
The given codes are:
- R ÷ S means R is the mother of S.
- R × S means R is the father of S.
- R - S means R is the sister of S.
We need to analyze each given option to determine the relationship between P and R in each expression.
Analyzing Each Option
Option 1: P × Q ÷ R
Let's break down this expression:
- P × Q: According to the code 'R × S means R is the father of S', P × Q means P is the father of Q.
- Q ÷ R: According to the code 'R ÷ S means R is the mother of S', Q ÷ R means Q is the mother of R.
Combining these, P is the father of Q, and Q is the mother of R. This means P is Q's parent, and Q is R's parent. Specifically, P is the father of Q, and Q is the mother of R. Therefore, P is the father of Q, and Q is R's mother. P is married to Q (since P is Q's father and Q is R's mother, implying P is R's father). If P is the father of Q and Q is the mother of R, then P is the maternal grandfather of R. This does not show P as the father of R.
Option 2: Q × P - R
Let's break down this expression:
- Q × P: According to the code 'R × S means R is the father of S', Q × P means Q is the father of P.
- P - R: According to the code 'R - S means R is the sister of S', P - R means P is the sister of R.
Combining these, Q is the father of P, and P is the sister of R. This means P is Q's child (specifically daughter, as P is a sister) and P is a sibling of R. If Q is the father of P, and P is R's sister, then Q is also the father of R. This expression shows Q as the father of P and R, and P is R's sister. This does not show P as the father of R.
Option 3: R × Q - P
Let's break down this expression:
- R × Q: According to the code 'R × S means R is the father of S', R × Q means R is the father of Q.
- Q - P: According to the code 'R - S means R is the sister of S', Q - P means Q is the sister of P.
Combining these, R is the father of Q, and Q is the sister of P. This means R is Q's parent, and Q is a sibling of P. If R is the father of Q, and Q is the sister of P, then R is also the father of P. This expression shows R as the father of Q and P. This does not show P as the father of R.
Option 4: P × Q - R
Let's break down this expression:
- P × Q: According to the code 'R × S means R is the father of S', P × Q means P is the father of Q.
- Q - R: According to the code 'R - S means R is the sister of S', Q - R means Q is the sister of R.
Combining these, P is the father of Q, and Q is the sister of R. If P is the father of Q, and Q is the sister of R, it means Q and R are siblings, and P is the father of Q. Since Q is a child of P, and R is Q's sibling, R is also a child of P. Therefore, P is the father of R. This expression correctly shows P as the father of R.
Summary Table of Relationships
| Expression | Relationship 1 | Relationship 2 | Implied Relationship between P and R | P is Father of R? |
|---|---|---|---|---|
| P × Q ÷ R | P is father of Q | Q is mother of R | P is maternal grandfather of R | No |
| Q × P - R | Q is father of P | P is sister of R | Q is father of P and R; P is R's sister | No |
| R × Q - P | R is father of Q | Q is sister of P | R is father of Q and P; Q is P's sister | No |
| P × Q - R | P is father of Q | Q is sister of R | P is father of Q and R; Q is R's sister | Yes |
Based on the analysis of each option, the expression P × Q - R correctly represents the relationship where P is the father of R.
Revision Table: Key Blood Relation Codes
| Symbol | Meaning (R <symbol> S) |
|---|---|
| ÷ | R is the mother of S |
| × | R is the father of S |
| - | R is the sister of S |
Additional Information: Solving Blood Relation Puzzles
Blood relation questions test your ability to understand and decode relationships described in a coded language or through a series of statements. Here are some tips for solving them:
- Decode Symbols: Clearly write down the meaning of each symbol or code given in the question.
- Break Down Expressions: For coded expressions, break them down into smaller parts based on the operators (symbols). Analyze the relationship for each part sequentially.
- Build a Family Tree: For more complex questions, drawing a simple family tree or diagram can help visualize the relationships. Use symbols for gender (e.g., + for male, - for female) and connections (e.g., horizontal line for siblings, vertical line for parent-child).
- Track Gender: Pay close attention to gender information provided by the codes or statements. This is crucial for determining relationships accurately (e.g., 'sister' implies female, 'father' implies male).
- Eliminate Options: Once you analyze an option and find it doesn't match the target relationship, eliminate it.
- Work Backwards (Sometimes): In some cases, it might be helpful to start from the desired relationship and see which expression could lead to it.
Practicing different types of blood relation questions will improve your speed and accuracy in decoding complex relationships.
Important Questions from Coded Blood Relation Problems
‘A # B’ means ‘A is the son of B’.
‘A @ B’ means ‘A is the mother of B’.
‘A & B’ means ‘A is the wife of B’.
‘A % B’ means ‘A is the sister of B’.
If ‘M @ R % K # G # N & T’, then which of the following statements is NOT correct?
‘A % B’ means ‘A is the sister of B’.
‘A $ B’ means ‘A is the brother of B’.
‘A @ B’ means ‘A is the son of B’.
‘A & B’ means ‘A is the mother of B’.
If ‘R % T & Z $ S @ V @ C % Y’, then which of the following statements is NOT correct?
Read the given information carefully and answer the question that follows.
‘K $ D’ means ‘K is the father of D’.
‘K < D’ means ‘K is the wife of D’.
‘K > D’ means ‘K is the daughter of D’.
'K @ D’ means ‘K is the son of D’.
How is S related to N in the expression ‘H > R $ S @ T > N’?
‘R8S’ means ‘R is the father of S’.
‘R7S’ means ‘R is the sister of S’.
‘R6S’ means ‘R is the brother of S’.
‘R2S’ means ‘R is the wife of S’.
Which of the following expressions represents ‘X is the mother of Y’?
‘A # B’ means ‘A is the father of B’.
‘A % B’ means ‘A is the mother of B’.
‘A @ B’ means ‘A is the sister of B’.
‘A & B’ means ‘A is the son of B’.
If ‘G # M # T % S @ H & R & W @ U’, then which of the following statements is NOT correct?
