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?
P ÷ Q × R
Solving Blood Relation Expressions
This question asks us to determine which expression correctly represents the relationship where P is the paternal grandmother of R, based on the given definitions of symbols.
Understanding the Given Relationships
We are provided with the following meanings for the symbols:
- \(A \times B\) means that A is the father of B.
- \(A \div B\) means that A is the mother of B.
- \(A + B\) means that A is the brother of B.
We need to find an expression where P is the paternal grandmother of R. A paternal grandmother is the mother of one's father. So, we are looking for an expression that establishes P as the mother of R's father.
Analyzing Each Option
Let's break down each given option to see the relationship between P and R.
Option 1: \(P \div R \times Q\)
- \(P \div R\): According to the definition, this means P is the mother of R.
- \(R \times Q\): According to the definition, this means R is the father of Q.
Combining these, P is the mother of R. This does not make P the paternal grandmother of R.
Option 2: \(P \div Q \times R\)
- \(P \div Q\): According to the definition, this means P is the mother of Q.
- \(Q \times R\): According to the definition, this means Q is the father of R.
Combining these, P is the mother of Q, and Q is the father of R. This means P is the mother of R's father. Therefore, P is the paternal grandmother of R. This matches the required relationship.
Option 3: \(P \div Q + R\)
- \(P \div Q\): According to the definition, this means P is the mother of Q.
- \(Q + R\): According to the definition, this means 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 R's brother. Therefore, P is the mother of R. This does not make P the paternal grandmother of R.
Option 4: \(P \times Q \div R\)
- \(P \times Q\): According to the definition, this means P is the father of Q.
- \(Q \div R\): According to the definition, this means Q is the mother of R.
Combining these, P is the father of Q, and Q is the mother of R. This means P is the father of R's mother. Therefore, P is the maternal grandfather of R. This does not make P the paternal grandmother of R.
Conclusion
Based on the analysis of each expression, the expression \(P \div Q \times R\) is the only one that shows P as the mother of Q, and Q as the father of R, thus establishing P as the paternal grandmother of R.
| Expression | Breakdown | Relationship P to R | Matches Requirement? |
|---|---|---|---|
| \(P \div R \times Q\) | P mother of R, R father of Q | P is mother of R | No |
| \(P \div Q \times R\) | P mother of Q, Q father of R | P is paternal grandmother of R | Yes |
| \(P \div Q + R\) | P mother of Q, Q brother of R | P is mother of R | No |
| \(P \times Q \div R\) | P father of Q, Q mother of R | P is maternal grandfather of R | No |
Revision Table: Blood Relation Symbols
Understanding the meaning of each symbol is key to solving blood relation problems. Here's a quick recap:
- \(A \times B\): A is the father of B
- \(A \div B\): A is the mother of B
- \(A + B\): A is the brother of B
Additional Information: Blood Relations Concepts
Blood relation questions test your ability to decipher relationships based on given codes or statements. Common relationships include:
- Parent: Father or Mother
- Child: Son or Daughter
- Grandparent: Father's father/mother (Paternal Grandfather/Grandmother) or Mother's father/mother (Maternal Grandfather/Grandmother)
- Grandchild: Son's son/daughter or Daughter's son/daughter
- Sibling: Brother or Sister
- Uncle: Father's brother (Paternal Uncle) or Mother's brother (Maternal Uncle)
- Aunt: Father's sister (Paternal Aunt) or Mother's sister (Maternal Aunt)
- Cousin: Child of Uncle or Aunt
- Nephew: Son of one's sibling
- Niece: Daughter of one's sibling
- In-laws: Relationships through marriage (e.g., Father-in-law, Mother-in-law, Son-in-law, Daughter-in-law, Brother-in-law, Sister-in-law)
Solving these problems often involves drawing a family tree or breaking down complex relationships step-by-step from the given information.
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?
'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 ‘A is the husband of B’.
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If F & G @ H # I @ J, then how is G related to J?
'A + B' means 'A is the son of B'.
'A - B' means 'A is the wife of B'.
'A × B' means 'A is the father of B'.
'A ÷ B' means 'A is the sister of B'.
If A + P - Q × R - S, then which of the following statements is NOT correct?
A% B means 'A is the daughter of B'
A = B means 'A is the sister of B'
A $ B means 'A is the father of B'
If E = F = G $ H = I, then how is G related to E?
A - B means ‘A is the mother of B’
A * B means ‘A is the husband of B’
A % B means ‘A is the brother of B’
A $ B means ‘A is the sister of B’
If I * J - K % L $ M * N, then how is I related to N?
A # B means ‘A is the sister of B’.
A @ B means ‘A is the son of B’.
A & B means ‘A is the father of B’.
A % B means ‘A is the mother of B’.
If W @ Q % T & Y @ M % K, then how is W related to K?
If P ÷ Q means that P is the mother of Q, P – Q means that P is the father of Q, P × Q means that P is the sister of Q, then which of the following expression shows that B is the daughter of A?
A # B means ‘A is the brother of B’
A @ B means ‘A is the son of B’
A & B means ‘A is the wife of B’
A % B means ‘A is the mother of B’
If A % B & C # D @ E, then how is B related to E?
A # B means ‘A is the sister of B’.
A @ B means ‘A is the son of B’.
A & B means ‘A is the father of B’.
A % B means ‘A is the mother of B’.
If W & Q # T & Y @ M % K, then how is Q related to K?
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’?
