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).
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'?
