If A - B means that A is the father of B, A + B means that A is the mother of B, A × B means that A is the brother of B then which of the following expression shows that Q is the brother of P?
P × Q - R
Understanding Blood Relations Coding
This question involves decoding relationships expressed using specific symbols. We are given the meaning of three symbols:
- A - B means A is the father of B. This tells us A's gender (male) and the father-child relationship.
- A + B means A is the mother of B. This tells us A's gender (female) and the mother-child relationship.
- A × B means A is the brother of B. This tells us A's gender (male) and the sibling relationship between A and B.
The goal is to find the expression among the options that shows Q is the brother of P. This means we need an expression where P and Q are siblings, and Q is male.
Analyzing Each Option for the Blood Relation
Let's examine each given expression step-by-step to determine the relationship between P and Q.
Option 1: P × Q - R
- P × Q: According to the definition, A × B means A is the brother of B. So, P × Q means P is the brother of Q. This tells us P is male and P and Q are siblings.
- Q - R: According to the definition, 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.
Combining these, we have P is the brother of Q, and Q is the father of R. Since P is the brother of Q, P and Q are siblings. The second part, Q is the father of R, confirms that Q is male. If P and Q are siblings and Q is male, then Q is the brother of P. This expression shows that Q is the brother of P.
Option 2: P × Q + R
- P × Q: P is the brother of Q. (P is male, P and Q are siblings)
- Q + R: According to the definition, A + B means A is the mother of B. So, Q + R means Q is the mother of R. This tells us Q is female.
In this case, P is the brother of Q, making them siblings. However, Q is the mother of R, meaning Q is female. If P is the brother of Q and Q is female, then Q must be the sister of P. This expression does not show Q is the brother of P.
Option 3: R + P × Q
- R + P: R is the mother of P. (R is female)
- P × Q: P is the brother of Q. (P is male, P and Q are siblings)
Here, R is the mother of P, and P is the brother of Q. From P × Q, we know P and Q are siblings and P is male. The relationship between R and P establishes the parentage of P. However, we do not get information about Q's gender from this expression. Q could be a brother or a sister of P. Therefore, this expression does not definitively show that Q is the brother of P.
Option 4: Q - P - R
- Q - P: Q is the father of P. (Q is male)
- P - R: P is the father of R. (P is male)
This expression states that Q is the father of P, and P is the father of R. This means Q is P's parent, not P's sibling. Q is the father of P, which makes P the son of Q. This does not show Q is the brother of P.
Identifying the Correct Expression
Based on the analysis, only the expression P × Q - R satisfies the condition that Q is the brother of P.
In P × Q - R:
- P × Q implies P is the brother of Q. This establishes P and Q as siblings. P is male.
- Q - R implies Q is the father of R. This establishes Q's gender as male.
Since P and Q are siblings and Q is male, it follows that Q is the brother of P. The relationship asked is $\text{Q is the brother of P}$.
Conclusion
After analyzing all the given options based on the defined symbolic relationships, the expression P × Q - R correctly shows that Q is the brother of P.
| Expression | Relationships | Conclusion on Q and P | Does it show Q is brother of P? |
|---|---|---|---|
| P × Q - R | P is brother of Q; Q is father of R | P, Q are siblings; Q is male | Yes (If siblings and Q is male, Q is brother of P) |
| P × Q + R | P is brother of Q; Q is mother of R | P, Q are siblings; Q is female | No (Q is sister of P) |
| R + P × Q | R is mother of P; P is brother of Q | P, Q are siblings; P is male; R is P's mother | No (Q's gender is not determined) |
| Q - P - R | Q is father of P; P is father of R | Q is father of P | No (Q is P's father) |
Revision Table for Blood Relation Concepts
| Symbol | Meaning (A [Symbol] B) | Information Gained |
|---|---|---|
| - | A is the father of B | A is male; Parent-child relation |
| + | A is the mother of B | A is female; Parent-child relation |
| × | A is the brother of B | A is male; Sibling relation |
Additional Information on Blood Relations Logic
Blood relations questions often test your ability to decode symbolic representations of family relationships and trace the connections between individuals. Key steps usually involve:
- Understanding the exact meaning of each symbol and which person (before or after the symbol) its meaning applies to.
- Breaking down a complex expression into smaller, two-person relationships.
- Drawing a family tree or diagram if the relationships become complicated, though often not necessary for simpler expressions.
- Paying close attention to gender. Some symbols (like 'father', 'mother', 'brother', 'sister') specify gender, which is crucial for determining relationships like 'brother' or 'sister'.
- Inferring relationships. For example, if X is the father of Y and Y is the brother of Z, then X is also the father of Z, and Y and Z are siblings.
Practice with different types of symbols and relationship structures helps improve speed and accuracy in solving these problems.
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?
