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Question

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?

This question was previously asked in
SSC CGL 2022 Tier-II (Paper 2 JSO) Previous Year Paper (04-Mar-2023)
The correct answer is Father’s sister

Solving Blood Relation Puzzles: Decoding the Relationship

This question involves decoding a set of relationships defined by specific symbols and then determining the relationship between two individuals based on a given expression chain. These types of puzzles are common in logical reasoning sections of various exams.

Understanding the Symbol Definitions

We are given the following definitions for the symbols used:

  • 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’

Analyzing the Given Relation Chain

The relation chain is given as: W & Q # T & Y @ M % K

Let's break this down step-by-step:

  1. W & Q: Using the definition of '&', this means W is the father of Q.
  2. Q # T: Using the definition of '#', this means Q is the sister of T.
  3. T & Y: Using the definition of '&', this means T is the father of Y.
  4. Y @ M: Using the definition of '@', this means Y is the son of M.
  5. M % K: Using the definition of '%', this means M is the mother of K.

Tracing the Relationships to Connect Q and K

Now, let's combine these steps to figure out the relationship between Q and K.

  • From steps 1 and 2: W is the father of Q, and Q is the sister of T. This implies that W is also the father of T, and Q and T are siblings.
  • From steps 3 and 4: T is the father of Y, and Y is the son of M. If T is the father of Y and Y is the son of M, then M must be the mother of Y. This means T and M are a married couple.
  • From step 5: M is the mother of K.

Putting it together:

  • We want to find the relationship of Q to K.
  • Q is the sister of T.
  • T is married to M (since T is Y's father and M is Y's mother).
  • M is the mother of K.
  • If M is K's mother, and T is M's husband, then T is K's father.
  • Since Q is the sister of T, Q is the sister of K's father.

Therefore, Q is the father's sister of K.

Confirming the Answer

The relationship we found is 'Father's sister'. Let's check the given options:

  1. Mother’s sister
  2. Sister
  3. Father’s sister
  4. Father’s mother

Our deduced relationship, 'Father’s sister', matches option 3.

Expression Part Relationship Inference
W & Q W is father of Q -
Q # T Q is sister of T Q and T are siblings, W is father of T
T & Y T is father of Y -
Y @ M Y is son of M M is mother of Y; T and M are parents of Y
M % K M is mother of K M is K's mother

Based on the inferences: T is M's husband (Y's parents are T and M). M is K's mother. Therefore, T is K's father. Q is T's sister. Thus, Q is K's father's sister.

Revision Table: Blood Relations Symbols

Symbol Meaning
# Sister
@ Son
& Father
% Mother

Additional Information: Types of Blood Relation Problems

Blood relation problems typically fall into three main categories:

  • Decoding Relationships: Like this question, where symbols or codes represent relationships. You need to decode the expression to find the relationship between two people.
  • Puzzle Based: A passage or set of statements describes relationships among several people. You need to draw a family tree or diagram to figure out the required relationship.
  • Pointing or Introducing: A person introduces another person by pointing or stating relationships in a round-about manner (e.g., "He is the son of the daughter of my father's wife"). You need to simplify the statement to find the relationship.

Practicing different types helps in quickly identifying relationships and avoiding confusion.

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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 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?

  6. 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?

  7. 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?

  8. 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?

  9. 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?

  10. 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?


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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