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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 W 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 brother

Understanding Blood Relation Puzzles

Blood relation questions test your ability to understand and interpret relationships within a family. These puzzles often use codes or symbols to represent relationships. To solve them, you need to decode the symbols and build a family tree or chain of relationships.

Decoding the Symbols in the Blood Relation Question

The question provides a set of symbols and their corresponding blood relations:

  • 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 Expression: W @ Q % T & Y @ M % K

We need to break down the expression W @ Q % T & Y @ M % K into individual relationships and connect them:

  1. W @ Q: This means W is the son of Q. (Q is a parent of W).
  2. Q % T: This means Q is the mother of T. (T is a child of Q). Since Q is the mother of T and also a parent of W, W and T are siblings.
  3. T & Y: This means T is the father of Y. (Y is a child of T).
  4. Y @ M: This means Y is the son of M. (M is a parent of Y). Since T is the father of Y and Y is the son of M, T and M are the parents of Y. This implies T and M are husband and wife, with T being the father and M being the mother.
  5. M % K: This means M is the mother of K. (K is a child of M). Since M is the mother of Y and also the mother of K, Y and K are siblings.

Building the Family Tree and Connecting Relationships

Let's connect the relationships step-by-step to see how W is related to K:

  • From (1), W is the son of Q.
  • From (2), Q is the mother of T.
  • Combining (1) and (2): W and T are siblings, and Q is their mother. W is male (son).
  • From (3), T is the father of Y.
  • From (4), Y is the son of M.
  • Combining (3) and (4): T and M are the parents of Y (T is the father, M is the mother). So, T and M are married.
  • From (5), M is the mother of K.
  • Combining the information:
    • W and T are siblings (W is male).
    • T is married to M.
    • T and M are parents of Y and K (since M is mother of Y and K, and T is father of Y and married to M, T must also be father of K).
    • So, T is K's father.
  • We need to find W's relation to K. We know W is T's sibling (and W is male). T is K's father.
  • Therefore, W is the brother of K's father.

Determining the Relationship Between W and K

Based on our analysis:

  • W is the brother of T.
  • T is the father of K.

This means W is the brother of K's father. The brother of one's father is their paternal uncle. However, looking at the options provided, the relationship is described directly as 'Father's brother'.

Let's summarize the key relations traced from W to K:

Relation Interpretation Connection
W @ Q W is son of Q Q is W's parent
Q % T Q is mother of T Q is W's mother; T is W's sibling
T & Y T is father of Y T is W's sibling; T is Y's parent
Y @ M Y is son of M Y is T's child; M is Y's parent
M % K M is mother of K M is Y's mother; M is T's wife; M is K's mother

From the table and our steps:

  • W is the son of Q.
  • Q is the mother of T.
  • So, W and T are siblings. W is male.
  • T is the father of Y.
  • Y is the son of M. M is the mother of K.
  • T is married to M. T and M are parents of Y and K.
  • T is K's father.
  • W is T's brother.
  • Therefore, W is K's father's brother.

Conclusion on the Relationship

Based on the decoded expression, W is the male sibling of T, and T is the father of K. This establishes that W is K's father's brother.

Revision Table: Blood Relation Symbols

Symbol Relationship
# Sister
@ Son
& Father
% Mother

Additional Information on Solving Blood Relation Problems

Solving blood relation puzzles effectively often involves these steps:

  • Identify all individuals: Note down everyone mentioned in the expression.
  • Decode symbols: Write down what each symbol means in terms of relationship.
  • Break down the expression: Analyze the expression segment by segment (e.g., A @ B, then B % C, etc.).
  • Build a diagram or family tree: Draw a simple diagram to visually represent the relationships. Use symbols for gender (e.g., + for male, - for female) and lines to connect generations or spouses.
  • Trace the relationship: Starting from one person, follow the connections step-by-step to reach the other person.
  • Determine gender: Pay attention to symbols that indicate gender (son, daughter, mother, father, sister, brother) as it's crucial for the final answer.
  • Check the options: Once you determine the relationship, match it with the given options.

Practice with different types of expressions and symbol definitions will improve speed and accuracy in solving blood relation questions.

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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. ‘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?

  4. 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?

  5. 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?

  6. 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?

  7. If A × B means that A is the brother of B, A – B means that A is the sister of B, A + B means that A is the father of B then which of the following expression shows that P is the father of R?
  8. ‘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 S @ T # P @ Q # R & V, then how is T related to Q?

  9. If X × Y means that X is the mother of Y, X – Y means that X is the father of Y, X ÷ Y means that X is the sister of Y, then which of the following expression shows that P is the paternal grandfather of R?

  10. ‘A + B’ means ‘A is the father of B.

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

    ‘A × B' means ‘A is the sister of B’.

    ‘A ÷ B’ means ‘A is the wife of B’.

    If H + I - J × K × L - M ÷ N, then which of the following statements is NOT correct?  


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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