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.
Similar Questions
If S - T means that S is the mother of T, S × T means that S is the father of T, S + T means that S is the sister of T, then which of the following expression shows that P is the mother of R?
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 P is the paternal grandmother of R?
‘A @ B’ means ‘A is the husband of B’.
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If I * J - K % L $ M * N, then how is I related to N?
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If W @ Q % T & Y @ M % K, then how is W related to K?
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If A % B & C # D @ E, then how is B related to E?
A # B means ‘A is the sister of B’.
A @ B means ‘A is the son of B’.
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A % B means ‘A is the mother of B’.
If W & Q # T & Y @ M % K, then how is Q related to K?
- If A × B means that A is the brother of B, A – B means that A is the sister of B, A + B means that A is the father of B then which of the following expression shows that P is the father of R?
‘A @ B’ means ‘A is the husband of B’.
‘A & B’ means ‘A is the father of B’.
‘A # B’ means ‘B is the son of A’.
If S @ T # P @ Q # R & V, then how is T related to Q?
If X × Y means that X is the mother of Y, X – Y means that X is the father of Y, X ÷ Y means that X is the sister of Y, then which of the following expression shows that P is the paternal grandfather of R?
Important Questions from Coded Blood Relation Problems
If A @ B means A is the son of B, A # B means A is the husband of B and A * B means A is the daughter of B, then what does P @ Q * R # S mean?
If P $ Q means P is the husband of Q; P ! Q means P is the mother Q and P * Q means P is the daughter of Q, which of the following shows that Z is brother of W's wife, if Z is male?
If P $ Q means P is the brother of Q; P ! Q means P is the mother Q and P * Q means P is the son of Q, which of the following shows that W is brother of Z?
Read the following information carefully and answer the question given below:
M * N means ‘ M is the sister of N’
M % N means ‘ M is the father of N’
M # N means ‘M is the mother of N’
Which of the following option gives that, M is father of R?
If ‘A + B’ means ‘A is the mother of B’, ‘A - B’ means ‘A is the father of B’, ‘A × B’ means ‘A is the brother of B’, ‘A & B’ means ‘A is the son of B’, then how is M related to K in the expression ‘N − M + T × L & G & K’?
