In a certain code language, A + B means 'A is the mother of B', A - B means 'A is the sister of B', A × B means 'A is the husband of B', A ÷ B means 'A is the daughter of B'. Based on the above, how is Q related to T if ' P + Q × R - S ÷ T'?
Daughter's husband
Understanding Blood Relations in Coded Language
The problem asks us to determine the relationship between Q and T based on a given expression 'P + Q × R - S ÷ T' and a set of coded relations. Let's first understand the meaning of each symbol in the given code language:
- A + B means 'A is the mother of B'
- A - B means 'A is the sister of B'
- A × B means 'A is the husband of B'
- A ÷ B means 'A is the daughter of B'
Decoding the Expression 'P + Q × R - S ÷ T'
Now, let's break down the given expression step by step and translate each part into blood relations:
- P + Q: According to the code, A + B means 'A is the mother of B'. So, P + Q means 'P is the mother of Q'.
- Q × R: According to the code, A × B means 'A is the husband of B'. So, Q × R means 'Q is the husband of R'. This also implies that R is the wife of Q.
- R - S: According to the code, A - B means 'A is the sister of B'. So, R - S means 'R is the sister of S'.
- S ÷ T: According to the code, A ÷ B means 'A is the daughter of B'. So, S ÷ T means 'S is the daughter of T'.
Building the Family Relationships
Let's combine these individual relationships to establish connections between the individuals P, Q, R, S, and T:
- P is the mother of Q.
- Q is the husband of R. (So, R is the wife of Q).
- R is the sister of S.
- S is the daughter of T.
Since S is the daughter of T and R is the sister of S, R is also the daughter of T (assuming they share the same parent, T). We have established that Q is the husband of R.
Therefore, Q is the husband of T's daughter (R).
Determining Q's Relation to T
We need to find out how Q is related to T. From our analysis:
- S is the daughter of T.
- R is the sister of S, so R is also the daughter of T.
- Q is the husband of R.
Since Q is the husband of T's daughter (R), Q is T's daughter's husband.
Verifying the Answer
Let's check the derived relationship against the given options:
- Option 1: Wife's mother (This doesn't match).
- Option 2: Sister (This doesn't match).
- Option 3: Daughter's husband (This matches our derived relationship).
- Option 4: Mother (This doesn't match).
Our conclusion that Q is T's daughter's husband aligns with Option 3.
Summary of Relationships
| Expression Part | Relation |
|---|---|
| P + Q | P is mother of Q |
| Q × R | Q is husband of R (R is wife of Q) |
| R - S | R is sister of S |
| S ÷ T | S is daughter of T |
From R is sister of S and S is daughter of T, we get R is daughter of T. Since Q is husband of R, Q is husband of T's daughter.
Revision Table: Coded Blood Relations
| Code | Relation |
|---|---|
| A + B | A is mother of B |
| A - B | A is sister of B |
| A × B | A is husband of B |
| A ÷ B | A is daughter of B |
Additional Information on Blood Relation Reasoning
Blood relation questions test your ability to understand and decode relationships between individuals in a family. These questions often involve symbols or coded language to represent relationships, or they might be presented in a descriptive paragraph.
Key strategies for solving blood relation problems:
- Draw a family tree: Visualizing the relationships can make it easier to trace connections. Use symbols for gender (e.g., circle for female, square for male) and relationships (e.g., double line for marriage, single line for siblings, vertical line for parent-child).
- Break down complex statements: If the relation is given in a coded expression or a long sentence, break it into smaller, manageable parts.
- Start with a definite relationship: Identify a clear relationship (like a parent-child or marital link) to begin building your tree or tracing the path.
- Determine the gender of individuals whenever possible, as relationships like brother, sister, husband, wife, son, daughter depend on gender.
- Pay attention to the question: Always confirm whose relation to whom is being asked. "How is A related to B?" is different from "How is B related to A?".
Practicing various types of blood relation problems, including coded relations, helps improve speed and accuracy in competitive exams.
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’?
