'A @ B' means 'A is the father of B'. 'A * B' means 'A is the brother of B.' 'A $ B' means 'A is the sister of B'. If Q * Z * M @ K $ T @ U * N, then which of the following statements is not correct?
K is the mother of N.
Solving Blood Relation Puzzles: Decoding Relationships
This question asks us to analyze a set of coded relationships and determine which of the given statements is incorrect. We are given the following codes:
- 'A @ B' means 'A is the father of B'.
- 'A * B' means 'A is the brother of B'.
- 'A $ B' means 'A is the sister of B'.
The given expression is Q * Z * M @ K $ T @ U * N. We need to decode this expression step-by-step to build the family relationships.
Decoding the Blood Relation Expression
Let's break down the expression Q * Z * M @ K $ T @ U * N:
- Q * Z: According to the code, 'A * B' means 'A is the brother of B'. So, Q is the brother of Z. This means Q is male.
- Z * M: Similarly, Z is the brother of M. This means Z is male.
- From Q * Z and Z * M, we know Q and Z are brothers, and Z is M's brother. This implies Q, Z, and M are siblings. Since Q and Z are male brothers, M is also their brother (male). So, Q, Z, and M are all brothers.
- M @ K: According to the code, 'A @ B' means 'A is the father of B'. So, M is the father of K. This confirms M is male.
- K $ T: According to the code, 'A $ B' means 'A is the sister of B'. So, K is the sister of T. This means K is female. K and T are siblings. Since M is the father of K, M is also the father of T.
- T @ U: According to the code, 'A @ B' means 'A is the father of B'. So, T is the father of U. This means T is male.
- U * N: According to the code, 'A * B' means 'A is the brother of B'. So, U is the brother of N. This means U is male. U and N are siblings. Since T is the father of U, T is also the father of N.
Building the Family Tree Structure
Based on the decoding, we can construct the family structure:
- Generation 1: Q, Z, M are brothers (all male).
- Generation 2: M is the father of K (female) and T (male). K and T are siblings.
- Generation 3: T is the father of U (male) and N (gender unknown). U and N are siblings.
Let's visualize this:
| Person | Relationship | Gender |
|---|---|---|
| Q | Brother of Z, M | Male |
| Z | Brother of Q, M | Male |
| M | Brother of Q, Z; Father of K, T | Male |
| K | Daughter of M; Sister of T | Female |
| T | Son of M; Brother of K; Father of U, N | Male |
| U | Son of T; Brother of N | Male |
| N | Child of T; Sibling of U | Unknown |
Analyzing the Statements
Now let's examine each given statement to see if it is correct based on our family tree:
- Q is the paternal uncle of T.
Q is M's brother. M is T's father. A father's brother is a paternal uncle. So, Q is the paternal uncle of T. This statement is CORRECT. - K is the mother of N.
K is M's daughter and T's sister. T is N's father. A father's sister is an aunt. So, K is N's paternal aunt, not mother. This statement is INCORRECT. - U is the paternal grandson of M.
U is T's son. T is M's son. A son's son is a paternal grandson. So, U is the paternal grandson of M. This statement is CORRECT. - M is T's father.
We deduced from M @ K and K $ T that M is the father of both K and T. So, M is T's father. This statement is CORRECT.
Based on the analysis, the statement that is not correct is "K is the mother of N."
Revision Table: Key Relationships
| Relation | Example |
|---|---|
| Father's brother | Paternal Uncle |
| Father's sister | Paternal Aunt |
| Mother's brother | Maternal Uncle |
| Mother's sister | Maternal Aunt |
| Son of Son | Paternal Grandson |
| Son of Daughter | Maternal Grandson |
Additional Information on Blood Relations for Exams
Blood relation questions are common in competitive exams. They test your ability to understand and deduce relationships based on given information. Here are some tips:
- Always start by identifying the subject of the relation (e.g., 'A' in 'A is father of B').
- Break down complex expressions into smaller, manageable parts.
- Draw a family tree or diagram to visualize the relationships. Use symbols to represent gender (e.g., + for male, - for female) and connecting lines for relations (e.g., vertical for parent-child, horizontal for siblings, double horizontal for spouse).
- Carefully trace the relationships backward or forward as required by the question or statement.
- Pay attention to the gender implied by the relationship (e.g., 'brother' implies male, 'sister' implies female, 'parent' or 'child' can be either unless specified).
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'?
