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?
P – Q × R
Solving Blood Relation Code Questions
This question involves decoding a set of symbols representing relationships within a family. We are given the following rules:
- A ÷ B means that A is the brother of B. (This implies A is male).
- A × B means that A is the sister of B. (This implies A is female).
- A – B means that A is the father of B. (This implies A is male).
We need to find the expression among the given options that correctly shows P is the father of R.
Analyzing the Options for P as Father of R
Let's break down each expression based on the given coding rules:
Option 1: P – Q × R
- P – Q: P is the father of Q. (P is male).
- Q × R: Q is the sister of R. (Q is female).
Combining these two relationships:
- P is the father of Q.
- Q is the sister of R.
If Q is the sister of R, they are siblings. If P is the father of Q, then P is also the father of R (since R is Q's sibling). This expression shows that P is the father of R.
Option 2: P × Q – R
- P × Q: P is the sister of Q. (P is female).
- Q – R: Q is the father of R. (Q is male).
Combining these two relationships:
- P is the sister of Q.
- Q is the father of R.
If Q is the father of R, and P is Q's sister, then P is R's aunt. This expression does not show that P is the father of R.
Option 3: P ÷ Q × P
- P ÷ Q: P is the brother of Q. (P is male).
- Q × P: Q is the sister of P. (Q is female).
Combining these two relationships:
- P is the brother of Q.
- Q is the sister of P.
This set of relationships is consistent (If P is Q's brother, Q must be P's sister). However, the expression relates P and Q, and then Q and P again. It does not introduce R and therefore cannot show a relationship between P and R.
Option 4: P ÷ Q – R
- P ÷ Q: P is the brother of Q. (P is male).
- Q – R: Q is the father of R. (Q is male).
Combining these two relationships:
- P is the brother of Q.
- Q is the father of R.
If Q is the father of R, and P is Q's brother, then P is R's uncle. This expression does not show that P is the father of R.
Based on the analysis, the expression P – Q × R is the only one that establishes P as the father of R.
Revision Table: Blood Relation Codes
| Symbol | Meaning | Gender Implied for A |
|---|---|---|
| A ÷ B | A is brother of B | Male |
| A × B | A is sister of B | Female |
| A – B | A is father of B | Male |
Additional Information: Solving Blood Relation Puzzles
Blood relation puzzles are common in reasoning sections of competitive exams. They test your ability to decode relationships presented in coded form or direct statements. Here are some tips for solving them:
- Carefully read the meaning of each symbol or statement. Note down which symbols imply gender.
- Break down the given expression step-by-step. Analyse the relationship between the first two individuals, then the second and third, and so on.
- Draw a family tree or diagram if the relationships become complex. This can help visualize the connections.
- Work backwards from the desired relationship if needed.
- Pay close attention to gender implications, as 'brother' or 'sister' can be key. 'Parent' or 'child' might not specify gender unless implied by another relation.
Understanding the basic family relationships (parent, child, sibling, uncle, aunt, cousin, grandparent, grandchild) is crucial for these types of problems.
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