If A + B means that A is the father of B, A × B means that A is the mother of B, A - B means that A is the brother of B then which of the following expression shows that P is the paternal grandmother of R?
Understanding Blood Relations and Code Expressions
This question asks us to interpret a set of code expressions that define blood relationships and find the expression that correctly represents a specific relationship: P is the paternal grandmother of R.
Decoding the Blood Relation Codes
We are given the following rules:
- A + B means that A is the father of B.
- A × B means that A is the mother of B.
- A - B means that A is the brother of B.
Defining Paternal Grandmother
A paternal grandmother is the mother of one's father. For P to be the paternal grandmother of R, P must be the mother of R's father. Let's say R's father is X. Then, P is the mother of X, and X is the father of R.
Analyzing the Given Options
We need to check each option to see which one results in P being the paternal grandmother of R.
Option 1: Q × P + R
Let's break this expression down:
- Q × P: According to the rule, Q is the mother of P.
- P + R: According to the rule, P is the father of R.
Combining these, Q is the mother of P, and P is the father of R. This means P is R's father, and Q is the mother of R's father. So, Q is the paternal grandmother of R. This option does not show P as the paternal grandmother of R.
Option 2: P × Q - R
Let's break this expression down:
- P × Q: According to the rule, P is the mother of Q.
- Q - R: According to the rule, Q is the brother of R.
Combining these, P is the mother of Q, and Q is the brother of R. This means P is the mother of Q, who is R's brother. Therefore, P is the mother of R. This option shows P as the mother of R, not the paternal grandmother.
Option 3: P + R × Q
Let's break this expression down:
- P + R: According to the rule, P is the father of R.
- R × Q: According to the rule, R is the mother of Q.
Combining these, P is the father of R, and R is the mother of Q. This expression establishes relationships between P and R, and R and Q, but it does not show P as the paternal grandmother of R. P is R's father, and R is Q's mother.
Option 4: P × Q + R
Let's break this expression down:
- P × Q: According to the rule, P is the mother of Q.
- Q + R: According to the rule, Q is the father of R.
Combining these, P is the mother of Q, and Q is the father of R. This means Q is the father of R, and P is Q's mother. Therefore, P is the mother of R's father. This exactly matches the definition of paternal grandmother. This option shows P as the paternal grandmother of R.
Summary of Relationship Analysis
| Expression | Relationship 1 | Relationship 2 | Overall Relationship between P and R |
|---|---|---|---|
| Q × P + R | Q is mother of P | P is father of R | Q is R's paternal grandmother |
| P × Q - R | P is mother of Q | Q is brother of R | P is R's mother |
| P + R × Q | P is father of R | R is mother of Q | P is R's father, R is Q's mother |
| P × Q + R | P is mother of Q | Q is father of R | P is R's paternal grandmother |
Based on the analysis, the expression that shows P as the paternal grandmother of R is P × Q + R.
Revision Table: Blood Relation Codes
| Code | Relationship |
|---|---|
| A + B | A is father of B |
| A × B | A is mother of B |
| A - B | A is brother of B |
Additional Information: Solving Blood Relation Problems
Blood relation problems often involve decoding symbols or words to map out family trees and determine relationships. Here are some tips for solving them:
- Carefully read and understand the meaning of each symbol or term provided.
- Break down the given expression step-by-step, analyzing one relationship at a time from left to right or based on the connectors.
- Draw a family tree diagram if necessary. This can help visualize the relationships between different members. Use symbols for gender (e.g., circle for female, square for male) and lines to connect generations and siblings.
- Identify the target relationship you need to find (e.g., paternal grandmother, maternal uncle).
- Check each option against your understanding of the defined codes and the target relationship.
- Pay attention to gender. For example, "father's sister" is aunt, but "mother's sister" is also aunt. The question might specify paternal or maternal relationships.
Practicing different types of blood relation puzzles helps improve your ability to quickly decode and determine relationships accurately.
Similar Questions
If S - T means that S is the mother of T, S × T means that S is the father of T, S + T means that S is the sister of T, then which of the following expression shows that P is the mother of R?
If A × B means that A is the father of B, A ÷ B means that A is the mother of B, A + B means that A is the brother of B then which of the following expression shows that P is the paternal grandmother of R?
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If W @ Q % T & Y @ M % K, then how is W related to K?
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If A % B & C # D @ E, then how is B related to E?
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A @ B means ‘A is the son of B’.
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If W & Q # T & Y @ M % K, then how is Q related to K?
- 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?
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‘A & B’ means ‘A is the father of B’.
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If S @ T # P @ Q # R & V, then how is T related to Q?
If X × Y means that X is the mother of Y, X – Y means that X is the father of Y, X ÷ Y means that X is the sister of Y, then which of the following expression shows that P is the paternal grandfather of R?
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’?
