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Question

'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?

This question was previously asked in
SSC CGL 2023 (Tier-II) Paper 1 Previous Year Paper (26-Oct-2023) (Shift-1)
The correct answer is

A is the son of S.

Understanding Blood Relation Reasoning

This question involves decoding a set of symbols that represent specific blood relationships to determine the family structure and identify the statement that is not true based on the given expression.

First, let's understand the meaning of each symbol provided:

  • A + B: A is the son of B.
  • A - B: A is the wife of B.
  • A × B: A is the father of B.
  • A ÷ B: A is the sister of B.

Decoding the Expression: A + P - Q × R - S

Let's break down the given expression step by step to establish the relationships between A, P, Q, R, and S:

  1. A + P: According to the rule A + B means 'A is the son of B', A + P means 'A is the son of P'.
  2. P - Q: According to the rule A - B means 'A is the wife of B', P - Q means 'P is the wife of Q'. This also implies that Q is the husband of P. Since A is the son of P, and P is the wife of Q, A is also the son of Q.
  3. Q × R: According to the rule A × B means 'A is the father of B', Q × R means 'Q is the father of R'. Since Q is the father of A (from step 2) and also the father of R, A and R are siblings.
  4. R - S: According to the rule A - B means 'A is the wife of B', R - S means 'R is the wife of S'. This implies that S is the husband of R.

Summary of Relationships

Based on the decoding, we can summarize the relationships:

  • A is the son of P and Q. (Q is the father, P is the mother)
  • P is the wife of Q.
  • Q is the father of R.
  • R is the wife of S.
  • A and R are siblings (children of Q and P).
  • A is male (son). R is female (wife). So, A is the brother of R.
  • S is the husband of R, meaning S is the brother-in-law of A.

We can visualize this structure:

Individuals Relationship
A Son of P & Q, Brother of R
P Wife of Q, Mother of A & R
Q Husband of P, Father of A & R
R Daughter of P & Q, Sister of A, Wife of S
S Husband of R, Brother-in-law of A

Analyzing the Statements

Now let's evaluate each given statement based on the derived relationships:

  1. A is the brother of wife of S.

    The wife of S is R. Is A the brother of R? Yes, A and R are siblings (children of Q and P), and A is male (son). So, A is the brother of R. This statement is correct.

  2. P is the mother of A.

    From our decoding, A is the son of P. This means P is the mother of A. This statement is correct.

  3. Q is the father of A.

    From our decoding, P is the wife of Q and A is the son of P. This means Q is the father of A. This statement is correct.

  4. A is the son of S.

    S is the husband of R. R is the sister of A. This makes S the brother-in-law of A. A is the son of P and Q, not S. This statement is NOT correct.

The statement that is NOT correct is "A is the son of S."

Revision Table: Blood Relations Concepts

Concept Description Example
Blood Relation Puzzles Questions that define relations using codes or direct statements, requiring you to deduce the family tree. Decoding expressions like A+B, A-B etc.
Family Tree Diagram A visual representation of relationships used to solve blood relation problems. Showing parent-child, sibling, and spousal connections.
Deducing Relationships Step-by-step analysis of given information to determine connections between individuals. Breaking down A + P - Q into A is son of P, P is wife of Q.

Additional Information on Blood Relations Reasoning

Blood relation questions are a common type of logical reasoning problem. They test your ability to understand and interpret defined relationships. There are typically three types of blood relation problems:

  • Decoding based on symbols/codes: Like the problem above, where symbols represent relationships.
  • Dialogue or conversation based: A person introduces or talks about another person, indicating relationships indirectly.
  • Puzzle based: A set of statements about multiple people's relationships needs to be combined to form a family tree and answer questions.

To solve these problems effectively, it's helpful to:

  • Draw a family tree diagram to keep track of relationships and genders.
  • Represent males with one symbol (e.g., square) and females with another (e.g., circle).
  • Use lines to connect spouses (e.g., double line) and parent-child relationships (e.g., single line downwards).
  • Indicate siblings on the same horizontal level.
  • Work step-by-step through the given information.
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Similar Questions

  1. 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?

  2. 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?

  3. '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?

  4. ‘A @ B’ means ‘A is the husband of B’.

    ‘A & B’ means ‘A is the father of B’.

    ‘A # B’ means ‘B is the son of A’.

    If F & G @ H # I @ J, then how is G related to J?

  5. 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?

  6. 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?

  7. 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?

  8. 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?

  9. 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?

  10. 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

  1. 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? 

  2. 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?

  3. 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?

  4. 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?

  5. 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’?

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