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
- Directions: These questions are based on the following information:
‘P @ Q’ means ‘Q is the mother of P’.
‘P $ Q’ means ‘Q is the husband of P’.
‘P # Q’ means ‘Q is the sister of P’.
‘P & Q’ means ‘Q is the son of P’.
If ‘Z # M $ C & D & E’ then how is E related with M? - Directions: These questions are based on the following information:
'P@Q' means 'Q is the mother of P'.
'P $ Q' means 'Q is the husband of P'.
'P#Q' means 'Q is the sister of P'.
'P & Q' means 'Q is the son of P'.
If 'A & B @ C & D # E' then how is A related with E? - A - B means A is the sister of B 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 What is the relation in A × B + C?
Directions: Study the following information carefully to answer the given questions:
If 'A & B' means 'A is the mother of B'
If 'A $ B' means 'A is the brother of B'
If 'A # B' means 'A is the sister of B'
If 'A @ B' means 'A is the father of B'
If 'A % B' means 'A is the daughter of B'
If 'A * B' means 'A is the son of B'
Which of the following means R is a brother of P?
In a certain code language,
‘A + B’ means ‘A is the mother of B’;
‘A - B’ means ‘A is the brother of B’;
‘A x B’ means ‘A is the wife of B’;
‘A ÷ B’ means ‘A is the father of B’.
Based on the above, how is S related to P if ‘P x Q ÷ R – S x A’?
In a certain code language, A + B means ‘A is the son of B’, A − B means ‘A is the wife of B’, A × B means ‘A is the brother of B’ and A ÷ B means ‘A is the mother of B’. Based on the above, how is T related to P if ‘P − M + R ÷ T × S’?
In a certain code language,
‘A + B’ means ‘A is the son of B’;
‘A # B’ means ‘A is the sister of B’;
‘A × B’ means ‘A is the wife of B’; and,
‘A @ B’ means ‘A is the father of B’.
Based on the above, how is M related to T if ‘M # N @ L × P + T’?
If,
'C @ S' means 'C is the father of S',
'C * S' means 'C is the brother of S',
'C # S' means 'C is the sister of S',
'C $ S' means 'C is the daughter of S',
'C = S' means 'C is the mother of S',
then how is Z related to Q in the following expression?
Q $ R @ S * T $ Z
'P @ Q' means 'P is the wife of Q'.
'P # Q' means 'P is the brother of Q'.
'P $ Q' means 'P is the father of Q'.
'P - Q' means 'P is the daughter of Q'.
If Z - B $ D $ G, then how is Z related to G?
‘A + B’ means ‘Ais brother of B’
‘A - B’ means ‘A is mother of B’
‘A × B’ means ‘A is husband of B’
‘A ÷ B’ means ‘A is sister of B’
If C ÷ B - E + A × F - D, then, which of the following statements is NOT correct?
Important Questions from Coded Blood Relation Problems
‘R+S’ means ‘R is the daughter of S’. ‘R−S’ means ‘R is the husband of S’.‘R × S’ means ‘R is the brother of S’. If ‘T × V + Z’, then which of the following options is true?
'P × Q' means 'P is the wife of Q'. 'P + Q' means 'P is the father of Q'. 'P ÷ Q' means 'P is the daughter of Q'. 'P - Q' means 'P is the son of Q'. How is E related to I in the expression 'E ÷ F + G - H ÷ I' ?
'K % L' means 'K is the brother of L', 'K $ L' means 'K is the husband of L', 'K @ L' means 'K is the sister of L', 'K # L' means 'K is the mother of L'.
How is H related to M in the expression ‘X @ P % T # M $ Y # J @ H’?
If ‘A % B’ means ‘A is the father of B’, ‘A # B’ means ‘A is the brother of B’, and ‘A $ B’ means ‘A is the wife of B’, then how is K related to R in the given expression?
K $ H % Y # M # R
If 'A + B' means 'A is the daughter of B ', 'A × B' means 'A is the sister of B', and 'A = B' means 'A is the wife of B', then how is G related to R in the expression 'C × G × U + M = R'?
