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?
This question tests your understanding of blood relations based on given symbolic representations. We are given a set of symbols and their corresponding relationships:
- A × B means A is the brother of B
- A – B means A is the sister of B
- A + B means A is the father of B
Our goal is to find the expression among the options that shows P is the father of R.
Let's analyze each option provided to determine the relationship between P and R.
Analyzing Blood Relations Expressions
Option 1: P + Q × R
Let's break down this expression step by step:
- P + Q: According to the definition, A + B means A is the father of B. So, P + Q means P is the father of Q.
- Q × R: According to the definition, A × B means A is the brother of B. So, Q × R means Q is the brother of R.
Combining these two relationships:
- P is the father of Q.
- Q is the brother of R.
If P is the father of Q, and Q is the brother of R, then Q and R are siblings. Their father is P. Therefore, P is the father of R.
Option 2: P × Q + R
Let's break down this expression step by step:
- 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.
- 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.
Combining these two relationships:
- P is the brother of Q.
- Q is the father of R.
If P is the brother of Q, and Q is the father of R, then P is the brother of R's father. This means P is the uncle of R.
Option 3: P + Q + R
Let's break down this expression step by step:
- P + Q: P + Q means P is the father of Q.
- Q + R: Q + R means Q is the father of R.
Combining these two relationships:
- P is the father of Q.
- Q is the father of R.
If P is the father of Q, and Q is the father of R, then P is the father of R's father. This means P is the grandfather of R.
Option 4: P - Q × R
Let's break down this expression step by step:
- P - Q: According to the definition, A - B means A is the sister of B. So, P - Q means P is the sister of Q.
- Q × R: According to the definition, A × B means A is the brother of B. So, Q × R means Q is the brother of R.
Combining these two relationships:
- P is the sister of Q.
- Q is the brother of R.
If P is the sister of Q, and Q is the brother of R, then P, Q, and R are siblings (or P and Q are siblings, and Q is brother of R). P is the sister of Q, and Q is brother of R. So, P is the sister of R.
Summary of Relationships
Let's summarize the relationship between P and R derived from each expression:
| Expression | Relationship between P and R |
|---|---|
| P + Q × R | P is the father of R |
| P × Q + R | P is the uncle of R |
| P + Q + R | P is the grandfather of R |
| P - Q × R | P is the sister of R |
We are looking for the expression that shows P is the father of R. Based on our analysis, the expression P + Q × R shows that P is the father of R.
Conclusion on Blood Relations
By carefully decoding each symbolic expression according to the given rules, we found that the expression P + Q × R correctly represents the relationship where P is the father of R. Understanding how to interpret these coded relationships is key to solving blood relation problems.
Revision Table for Blood Relations
| Symbol | Meaning | Example (A Symbol B) |
|---|---|---|
| × | Brother | A × B: A is the brother of B |
| – | Sister | A – B: A is the sister of B |
| + | Father | A + B: A is the father of B |
Additional Information on Coded Blood Relations
Coded blood relation questions are a common type in logical reasoning. They require you to translate given symbols into familial relationships and then trace the connections between individuals mentioned in an expression or equation. Here are some tips for solving such problems:
- Write down the meaning of each symbol clearly.
- Break down complex expressions into smaller parts. For example, P + Q × R should be read as (P + Q) and (Q × R).
- Determine the relationship between the first two elements, then the relationship between the second and third, and so on.
- Connect the relationships found in steps to build the overall family tree or lineage path between the required individuals.
- Pay close attention to the gender implied by the relationship (e.g., father implies male, sister implies female, brother implies male).
- Always verify your final relationship against the question's requirement.
Practicing different types of coded blood relation problems helps in quickly decoding the expressions and tracing relationships accurately.
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’.
‘A & B’ means ‘A is the father of B’.
‘A # B’ means ‘B is the son of A’.
If F & G @ H # I @ J, then how is G related to J?
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A * B means ‘A is the husband of B’
A % B means ‘A is the brother of B’
A $ B means ‘A is the sister of B’
If I * J - K % L $ M * N, then how is I related to N?
A # B means ‘A is the sister of B’.
A @ B means ‘A is the son of B’.
A & B means ‘A is the father of B’.
A % B means ‘A is the mother of B’.
If W @ Q % T & Y @ M % K, then how is W related to K?
A # B means ‘A is the brother of B’
A @ B means ‘A is the son of B’
A & B means ‘A is the wife of B’
A % B means ‘A is the mother of B’
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’.
A & B means ‘A is the father of B’.
A % B means ‘A is the mother of B’.
If W & Q # T & Y @ M % K, then how is Q related to K?
‘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?
‘A + B’ means ‘A is the father of B.
‘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’.
If H + I - J × K × L - M ÷ N, then which of the following statements is NOT correct?
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’?
