'A + B' means 'A is brother 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 sister of B'. If C × M ÷ S × K – T + Q, then which of the following statements is not correct?
M is sister of T's father.
Solving Blood Relation Puzzles with Symbols
This question asks us to analyze a series of coded relationships and identify the statement that is not correct based on the given expression. We need to first decode the meaning of each symbol and then apply them to the given sequence to build the family relationships.
Understanding the Blood Relation Codes
The problem defines specific symbols for common family relationships:
| Symbol | Meaning (A followed by B) |
|---|---|
| $+$ | A is brother of B |
| $-$ | A is the mother of B |
| $\times$ | A is the father of B |
| $\div$ | A is sister of B |
Decoding the Expression: C $\times$ M $\div$ S $\times$ K $-$ T $+$ Q
Let's break down the given expression segment by segment from left to right:
- C $\times$ M: According to the rule, 'A $\times$ B' means 'A is the father of B'. So, C is the father of M. This tells us C is male.
- M $\div$ S: According to the rule, 'A $\div$ B' means 'A is sister of B'. So, M is the sister of S. This tells us M is female. Since M is C's child and M is S's sister, S is also C's child. M and S are siblings.
- S $\times$ K: According to the rule, 'A $\times$ B' means 'A is the father of B'. So, S is the father of K. This tells us S is male. We already know S is C's child, so S is C's son.
- K $-$ T: According to the rule, 'A $-$ B' means 'A is the mother of B'. So, K is the mother of T. This tells us K is female. We already know K is S's child, so K is S's daughter.
- T $+$ Q: According to the rule, 'A $+$ B' means 'A is brother of B'. So, T is the brother of Q. This tells us T is male. We already know T is K's child, so T is K's son. Since T is K's child and T is Q's brother, Q is also K's child. T and Q are siblings.
Summarizing the Relationships
Based on the decoding, we can establish the following family structure and relationships:
- C is the father of M and S. (C is male)
- M is the sister of S. (M is female, S is male)
- S is the father of K. (S is male)
- K is the mother of T and Q. (K is female)
- T is the brother of Q. (T is male, Q's gender is unknown)
From these facts, we can deduce further relationships:
- S is K's father, and K is T's mother. This means S is K's father, and K is T's mother. S is the father of K. K is the mother of T.
- C is M's father. M is S's sister. S is K's father. K is T's mother. T is Q's brother.
- C is the grandfather of K (father of S, who is father of K).
- M is the aunt of K (sister of S, who is father of K).
- S is the grandfather of T and Q (father of K, who is mother of T and Q).
- K is the daughter of S.
- T and Q are the grandchildren of S and the great-grandchildren of C.
Evaluating the Statements
Now let's examine each statement provided in the options and check its correctness based on our derived relationships:
- Statement 1: K is mother of Q.
We decoded 'K $-$ T' as 'K is mother of T'. We also decoded 'T $+$ Q' as 'T is brother of Q'. If K is the mother of T, and T is the brother of Q, then K must also be the mother of Q. This statement is correct.
- Statement 2: C is the father of K's father.
K's father is S (from 'S $\times$ K'). C is the father of S (from 'C $\times$ M' and 'M $\div$ S' implying M and S are siblings of C). So, C is indeed the father of S, who is K's father. This statement is correct.
- Statement 3: S is the father of Q's mother.
Q's mother is K (from 'K $-$ T' and 'T $+$ Q'). S is the father of K (from 'S $\times$ K'). So, S is indeed the father of K, who is Q's mother. This statement is correct.
- Statement 4: M is sister of T's father.
T's mother is K (from 'K $-$ T'). T's father is K's husband. We do not know who K's husband is from the expression. However, we know S is the father of K. S is T's grandfather (father of K, mother of T). M is the sister of S (from 'M $\div$ S'). So, M is the sister of S, who is K's father. M is K's aunt and thus T's grand-aunt. M is not the sister of T's father (K's husband).
Conclusion
Based on the analysis of each statement against the derived relationships, the statement that is not correct is "M is sister of T's father."
Revision Table: Relationships Derived
| Relation in Expression | Derived Relationship | Inferred Gender |
|---|---|---|
| C $\times$ M | C is father of M | C: Male |
| M $\div$ S | M is sister of S | M: Female, S: Male (from S$\times$K) |
| S $\times$ K | S is father of K | S: Male, K: Female (from K$-$T) |
| K $-$ T | K is mother of T | K: Female, T: Male (from T$+$Q) |
| T $+$ Q | T is brother of Q | T: Male, Q: Gender unknown |
Additional Information: Solving Blood Relation Problems
Blood relation problems test your ability to understand and interpret relationships within a family structure based on given information. Here are some tips for solving such problems effectively:
- Draw a family tree: Visualizing the relationships helps avoid confusion. Use symbols for gender (e.g., circle for female, square for male) and lines to indicate relationships (e.g., vertical line for parent-child, horizontal line for siblings, double horizontal line for spouse).
- Break down the expression: Process the relationship chain segment by segment.
- Determine genders: Note the gender of each person if it can be determined from the rules. This is crucial as relationships like brother, sister, father, mother imply specific genders.
- Combine relationships: Link the segments together to form a complete picture of the family structure.
- Evaluate statements: Carefully check each given statement against the family tree or the list of derived relationships.
- Pay attention to 'of': Phrases like 'father of X' or 'sister of Y' define the relationship relative to the second person (X or Y).
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'?
