'A @ B' means 'A is the sister of B'.'A & B' means 'A is the brother of B'.'A # B' means 'A is the wife of B'.'A ^ B' means 'A is the mother of B'.'A + B’ means 'A is the father of B'.If 'L ^ U @ R ^ P # J + N & D @ S', then which of the following statements is NOT correct?

Question

'A @ B' means 'A is the sister of B'.'A & B' means 'A is the brother of B'.'A # B' means 'A is the wife of B'.'A ^ B' means 'A is the mother of B'.'A + B&rsquo; means 'A is the father of B'.If 'L ^ U @ R ^ P # J + N & D @ S', then which of the following statements is NOT correct?

Prepp Team · Accepted Answer

Understanding Blood Relation Logic

This question tests your ability to decode relationships based on a set of defined symbols and then use that information to evaluate given statements about the family structure. We are given the following symbol definitions:

'A @ B' means 'A is the sister of B'. ($\text{A}$ is female)
'A & B' means 'A is the brother of B'. ($\text{A}$ is male)
'A # B' means 'A is the wife of B'. ($\text{A}$ is female, $\text{B}$ is male)
'A ^ B' means 'A is the mother of B'. ($\text{A}$ is female)
'A + B’ means 'A is the father of B'. ($\text{A}$ is male)

We need to analyze the expression 'L ^ U @ R ^ P # J + N & D @ S' step-by-step to determine the relationships between the individuals.

Decoding the Expression Step-by-Step

L ^ U: L is the mother of U. (L is female)
U @ R: U is the sister of R. (U is female)
- Combining with step 1: L is the mother of U, and U is the sister of R. This means L is also the mother of R. (R's gender is unknown so far)
R ^ P: R is the mother of P. (R is female)
- Combining with step 2: L is the mother of R, and R is the mother of P. This means L is the maternal grandmother of P. (P's gender is unknown so far)
P # J: P is the wife of J. (P is female, J is male)
- Combining with step 3: R is the mother of P, and P is the wife of J. P and J are a married couple.
J + N: J is the father of N. (J is male)
- Combining with step 4: P is the wife of J, and J is the father of N. This means P is the mother of N. (N's gender is unknown so far)
N & D: N is the brother of D. (N is male)
- Combining with step 5: P and J are the parents of N, and N is the brother of D. This means P and J are also the parents of D. (D's gender is unknown so far)
D @ S: D is the sister of S. (D is female)
- Combining with step 6: P and J are the parents of D, and D is the sister of S. This means P and J are also the parents of S. (S's gender is unknown so far)
- Also, from 'N & D' and 'D @ S', we know N is the brother of D, and D is the sister of S. This makes N, D, and S siblings. N is male, D is female. S's gender remains unknown.

Summary of Derived Relationships

Based on the decoding, we have the following family connections:

L is the mother of U and R. (L: Female)
U and R are sisters. (U: Female, R: Female)
R is the mother of P. (R: Female)
P is the wife of J. (P: Female, J: Male)
P and J are the parents of N, D, and S. (P: Female, J: Male)
N is the brother of D and S. (N: Male)
D is the sister of N and S. (D: Female)
S's gender is unknown.

Let's also list some intergenerational relationships derived:

L is the maternal grandmother of P.
R is the maternal grandmother of N, D, and S.
U is the maternal aunt of P (sister of P's mother R).
U is the maternal great-aunt of N, D, and S.

Evaluating the Statements

Now, let's check each given statement against our derived relationships to find the one that is NOT correct.

U is the maternal grandmother of J.
- J is the husband of P. U is the sister of P's mother (R).
- U is the maternal aunt of P. U is in the generation above P, but related through P's mother.
- A maternal grandmother is the mother's mother. We don't know J's mother's side of the family. The statement implies U is J's mother's mother. This is not supported by the given expression, which links J through his wife P. Based on the established relationships, U is related to J through his wife P. U is P's maternal aunt. Therefore, U is not J's maternal grandmother. This statement appears to be incorrect.
L is the maternal grandmother of P.
- P's mother is R ('R ^ P'). R's mother is L (from 'L ^ U @ R').
- L is the mother of P's mother. By definition, L is the maternal grandmother of P. This statement is correct.
R is the maternal grandmother of S.
- S's mother is P (as P is wife of J, and J is father of S). P's mother is R ('R ^ P').
- R is the mother of S's mother. By definition, R is the maternal grandmother of S. This statement is correct.
D is the daughter of P.
- P is the wife of J ('P # J'). J is the father of D (from 'J + N & D').
- Since P is married to J and J is the father of D, P is the mother of D.
- D is female ('D @ S'). Thus, D is the daughter of P. This statement is correct.

Comparing the evaluations, the statement 'U is the maternal grandmother of J.' is the one that is NOT correct.

Revision Table: Symbol Decoding

Symbol	Relation Meaning	Gender Implied
@	Sister of	First person is female
&	Brother of	First person is male
#	Wife of	First person is female, Second person is male
^	Mother of	First person is female
+	Father of	First person is male

Additional Information on Blood Relation Puzzles

Blood relation problems in reasoning typically involve understanding family relationships based on given information. This can be presented through:

Direct Statements: Simple sentences like "A is the father of B".
Symbolic Relations: Using symbols or codes to represent relations, as in this question.
Puzzles: A set of clues describing relations within a family, requiring you to build a family tree mentally or visually.

Solving these problems often requires building a family tree or diagram to visualize the connections and genders of the individuals involved. Pay close attention to the gender implied by each relation, as this is crucial for determining relationships like maternal grandmother, paternal uncle, etc.

When evaluating statements, trace the relationships from the first person to the second person in the statement using the established family structure.