If 'A # B' means 'A is the sister of B' and 'A % B' means 'A is the mother of B', then which of the following expressions would mean: P is Q's mother's sister?
P # R % Q
Understanding Blood Relation Puzzles
This question involves interpreting coded relations to determine the relationship between P and Q. We are given two specific codes:
- 'A # B' means 'A is the sister of B'.
- 'A % B' means 'A is the mother of B'.
Our goal is to find the expression that correctly represents the relationship "P is Q's mother's sister". Let's break down the target relationship first:
Q's mother's sister means: The sister of the person who is Q's mother.
Let's represent Q's mother by a variable, say R. Then, "R is the mother of Q" can be written using the code '%': R % Q.
Now, "P is the sister of Q's mother (which is R)" can be written using the code '#': P # R.
Combining these, we need an expression where P is the sister of R, and R is the mother of Q. The notation places the relation symbol between the two individuals. So, we need P # R % Q.
Now, let's evaluate each given option based on these interpretations.
Analyzing Each Option for Coded Blood Relations
We will examine each option to see which one represents the desired relationship: P is Q's mother's sister.
Option 1: Q % R # P
- Q % R: This means Q is the mother of R.
- R # P: This means R is the sister of P.
Combining these, Q is the mother of R, and R is the sister of P. This means P is R's sibling, and Q is their mother. So, P is Q's child or sibling. This is not "P is Q's mother's sister".
Option 2: R # Q % P
- R # Q: This means R is the sister of Q.
- Q % P: This means Q is the mother of P.
Combining these, R is the sister of Q, and Q is the mother of P. This means R is P's mother's sister. While this is a valid relationship, the question asks for "P is Q's mother's sister", not "R is Q's mother's sister".
Option 3: P # R % Q
- P # R: This means P is the sister of R.
- R % Q: This means R is the mother of Q.
Combining these, P is the sister of R, and R is the mother of Q. This means P is the sister of the person who is Q's mother. Therefore, P is Q's mother's sister. This matches the relationship we are looking for.
Option 4: P % R # Q
- P % R: This means P is the mother of R.
- R # Q: This means R is the sister of Q.
Combining these, P is the mother of R, and R is the sister of Q. This means P is the mother of Q's sister. This is not "P is Q's mother's sister".
Conclusion on P is Q's Mother's Sister Expression
Based on the analysis of each option and the given codes, the expression 'P # R % Q' correctly represents the relationship where P is the sister of R, and R is the mother of Q. This means P is Q's mother's sister.
| Expression | Breakdown | Interpretation | Matches "P is Q's mother's sister"? |
|---|---|---|---|
| Q % R # P | Q is mother of R; R is sister of P |
P is Q's child or sibling | No |
| R # Q % P | R is sister of Q; Q is mother of P |
R is P's mother's sister | No (relationship is between R and P's mother) |
| P # R % Q | P is sister of R; R is mother of Q |
P is R's sister, R is Q's mother ∴ P is Q's mother's sister | Yes |
| P % R # Q | P is mother of R; R is sister of Q |
P is mother of Q's sister | No |
Revision Table: Key Blood Relation Concepts
| Relation | Description |
|---|---|
| Mother's Sister | Aunt (Maternal) |
| Mother's Brother | Uncle (Maternal) |
| Father's Sister | Aunt (Paternal) |
| Father's Brother | Uncle (Paternal) |
| Sibling | Brother or Sister |
| Child | Son or Daughter |
| Parent | Mother or Father |
Additional Information: Solving Coded Relation Problems
Coded blood relation questions require you to translate symbols into familial relationships and then trace the connections within a given expression or set of expressions. Here are some tips:
- Identify the codes: Clearly note down what each symbol represents (e.g., # means sister, % means mother).
- Break down the target relationship: Understand exactly which two people need to be related and how (e.g., P is Q's mother's sister). Work backwards if helpful (Q's mother, then that person's sister).
- Analyze expressions step-by-step: For each option, interpret the relationship from left to right or right to left, depending on the code definition and the desired relationship flow.
- Draw a family tree (optional): For complex problems, sketching a simple diagram can help visualize the relationships between the individuals represented by letters. Use symbols for gender (e.g., + for male, - for female) and relationships (e.g., horizontal line for siblings, vertical line for parent-child).
- Check gender constraints: Some relations imply a specific gender (e.g., mother is female, sister is usually female unless defined otherwise). Use this to eliminate options if necessary. In this problem, 'sister' implies P is female, and 'mother' implies R is female. The chosen expression P # R % Q implies P is sister (female) and R is mother (female), which is consistent with the relationship P is Q's mother's sister.
Similar Questions
'A + B' means 'A is the son of B'
'A - B' means 'A is the husband of B'
'A × B' means 'A is the wife of B'
'A ÷ B' means 'A is the brother of B'
Hence, if we consider K ÷ Q × M + R × D + H - L, then how is L related to M?
'A # B' means 'A is the sister of B'
'A @ B' means 'A is the husband of B'
'A & B' means 'A is the brother of B'
'A % B' means 'A is the son of B'
Which of the following expressions means 'U is the mother of D' ?
‘A + B’ means ‘A is the son 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’
If ‘F × G ÷ K − M + S × W’, then which of the following statements is NOT correct?
‘A + B’ means ‘A is the son of B’
‘A – B’ means ‘A is the wife of B’
‘A × B’ means ‘A is the father of B’
‘A ÷ B’ means ‘A is the brother of B’
If ‘C + M – S × K − P ÷ T’, then which of the following statements is NOT correct?
‘A + B' means 'A is the brother of B'
'A - B' means 'A is the mother of B'
'A × B' means 'A is the husband of B'
'A ÷ B' means 'A is the sister of B'
'A # B' means 'A is the daughter-in-law of B'
If 'C - M + S + K × R # T', then which of the following statements is not correct?
‘A # B’ means ‘A is the husband of B’.
‘A @ B’ means ‘A is the daughter of B’.
‘A & B’ means ‘A is the sister of B’.
If P & Q @ D # K @ S # T, then which of the following statements is NOT correct?
'A + B' means 'A is the mother of B'
'A - B' means 'A is the husband of B'
'A × B' means 'A is the father of B'
'A ÷ B' means 'A is the daughter of B'
Hence, if we consider S + Z - R ÷ H - P + U × M, then which of the following is NOT correct?
'A @ B' means ' A is the husband of B'
'A & B' means 'A is the mother of B'
'A # B' means 'A is the wife of B'
Which of the following option would mean 'P is the father-in-law of S'?
‘F + R’ means ‘F is the mother of R’
‘F – R’ means ‘F is the father of R’
‘F ÷ R’ means ‘F is the husband of R’
‘F × R’ means ‘F is the daughter of R’
If ‘A ÷ C × B + Q – Z’, how is Q related to A?
‘A + B’ means ‘A is the brother of B’
‘A – B’ means ‘A is the mother of B’
‘A × B’ means ‘A is the husband of B’
‘A ÷ B’ means ‘A is the sister of B’
If ‘C + M – S × K – T ÷ Q’, then which of the following statements is NOT correct?
Important Questions from Coded Blood Relation Problems
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?
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 W # Q @ T & Y @ M % K, then how is K related to W?
If 'A % B' means A is the father of B, 'A * B' means A is the mother of B, 'A @ B' means A is the wife of B, then Which of the following means that X is the grandmother of Y?
In a certain code language,
'A - B' means 'A is father of B'
'A + B' means 'A is mother of B'
'A × B' means 'A is husband of B', and
'A ÷ B' means 'A is the son of B'.
If 'U ÷ Q ÷ P - R × S + T × V', then how is U related to V?
