If X × Y means that X is the father of Y, X ÷ B means that X is the mother of B, X – Y means that X is the brother of Y then which of the following expression shows that A is the father of C?
A × B – C
Understanding Blood Relations Through Symbolic Codes
This question involves decoding relationships expressed using specific symbols. We are given three rules that link individuals based on these symbols. Our goal is to find which expression correctly represents the relationship "A is the father of C".
Decoding the Given Relationships
Let's break down the meaning of each symbol provided:
- \( \text{X} \times \text{Y} \): X is the father of Y. (The person before \( \times \) is the father of the person after \( \times \)).
- \( \text{X} \div \text{B} \): X is the mother of B. (The person before \( \div \) is the mother of the person after \( \div \)). Note the specific variable 'B' here, but in the options, the variable after \( \div \) can be different. Assuming the rule applies generally, \( \text{X} \div \text{Y} \) means X is the mother of Y.
- \( \text{X} - \text{Y} \): X is the brother of Y. (The person before \( - \) is the brother of the person after \( - \)).
Analyzing Each Expression for A as Father of C
We will now examine each option and determine the relationships implied to see if A ends up being the father of C.
Option 1: \( \text{A} - \text{B} \times \text{C} \)
- \( \text{A} - \text{B} \): A is the brother of B.
- \( \text{B} \times \text{C} \): B is the father of C.
Combining these: A is the brother of B, and B is the father of C. This means A is the uncle of C. This expression does not show A as the father of C.
Option 2: \( \text{A} \div \text{C} - \text{B} \)
- \( \text{A} \div \text{C} \): A is the mother of C (assuming the general rule for \( \div \)).
- \( \text{C} - \text{B} \): C is the brother of B.
Combining these: A is the mother of C, and C is the brother of B. This means A is the mother of C. This expression does not show A as the father of C.
Option 3: \( \text{A} \times \text{B} \div \text{C} \)
- \( \text{A} \times \text{B} \): A is the father of B.
- \( \text{B} \div \text{C} \): B is the mother of C (assuming the general rule for \( \div \)).
Combining these: A is the father of B, and B is the mother of C. This means A is the paternal grandfather of C. This expression does not show A as the father of C.
Option 4: \( \text{A} \times \text{B} - \text{C} \)
- \( \text{A} \times \text{B} \): A is the father of B.
- \( \text{B} - \text{C} \): B is the brother of C.
Combining these: A is the father of B, and B is the brother of C. If A is the father of B, and B is a sibling of C (specifically the brother), then A must also be the father of C. This expression correctly shows A as the father of C.
Summary of Analysis
Let's summarize the relationships derived from each expression:
| Expression | Relationship 1 | Relationship 2 | Relationship of A to C | Shows A as Father of C? |
|---|---|---|---|---|
| \( \text{A} - \text{B} \times \text{C} \) | A is brother of B | B is father of C | A is uncle of C | No |
| \( \text{A} \div \text{C} - \text{B} \) | A is mother of C | C is brother of B | A is mother of C | No |
| \( \text{A} \times \text{B} \div \text{C} \) | A is father of B | B is mother of C | A is paternal grandfather of C | No |
| \( \text{A} \times \text{B} - \text{C} \) | A is father of B | B is brother of C | A is father of C | Yes |
Conclusion
Based on the analysis of each option using the given symbolic codes, the expression \( \text{A} \times \text{B} - \text{C} \) is the only one that establishes the relationship "A is the father of C".
Revision Table: Blood Relation Symbols
| Symbol | Meaning |
|---|---|
| \( \times \) | Is the father of |
| \( \div \) | Is the mother of (general assumption based on usage) |
| \( - \) | Is the brother of |
Additional Information: Solving Blood Relation Puzzles
Blood relation questions often appear in reasoning sections of competitive exams. They test your ability to understand and deduce family relationships. Here are some tips for solving such problems:
- Read the instructions carefully, especially the meaning of each symbol or code.
- Break down the given expression into smaller segments based on the operators.
- Determine the direct relationship indicated by each segment.
- Combine the direct relationships step-by-step to find the relationship between the required individuals.
- You can visualize the relationships using a family tree diagram if it helps, but for symbolic problems like this, direct deduction is often faster.
- Pay attention to the order of individuals and the direction of the relationship (e.g., X is father of Y is different from Y is father of X).
Important Questions from Coded Blood Relation Problems
‘A # B’ means ‘A is the son of B’.
‘A @ B’ means ‘A is the mother of B’.
‘A & B’ means ‘A is the wife of B’.
‘A % B’ means ‘A is the sister of B’.
If ‘M @ R % K # G # N & T’, then which of the following statements is NOT correct?
‘A % B’ means ‘A is the sister of B’.
‘A $ B’ means ‘A is the brother of B’.
‘A @ B’ means ‘A is the son of B’.
‘A & B’ means ‘A is the mother of B’.
If ‘R % T & Z $ S @ V @ C % Y’, then which of the following statements is NOT correct?
Read the given information carefully and answer the question that follows.
‘K $ D’ means ‘K is the father of D’.
‘K < D’ means ‘K is the wife of D’.
‘K > D’ means ‘K is the daughter of D’.
'K @ D’ means ‘K is the son of D’.
How is S related to N in the expression ‘H > R $ S @ T > N’?
‘R8S’ means ‘R is the father of S’.
‘R7S’ means ‘R is the sister of S’.
‘R6S’ means ‘R is the brother of S’.
‘R2S’ means ‘R is the wife of S’.
Which of the following expressions represents ‘X is the mother of Y’?
‘A # B’ means ‘A is the father of B’.
‘A % B’ means ‘A is the mother of B’.
‘A @ B’ means ‘A is the sister of B’.
‘A & B’ means ‘A is the son of B’.
If ‘G # M # T % S @ H & R & W @ U’, then which of the following statements is NOT correct?
