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Question

A + B means ‘A is the mother of B’;

A - B means ‘A is the husband of B’;

A × B means ‘A is son of B’;

A ÷ B means ‘A is the daughter of B’.

If W × Z + Y ÷ X, then how is X related to Z?

This question was previously asked in
SSC CGL 2019 (Tier 2) GS Finance & Economics Previous Year Paper (17-Nov-2020)
The correct answer is

Husband 

Understanding Blood Relations from Symbols

This question asks us to decode a sequence of symbols representing blood relationships and determine the relationship between two individuals, X and Z. We are given the meanings of four symbols: '+', '-', '×', and '÷'. Let's first list these relationships clearly.

Symbol Meaning
A + B A is the mother of B
A - B A is the husband of B
A × B A is son of B
A ÷ B A is the daughter of B

Breaking Down the Expression: W × Z + Y ÷ X

The given expression is W × Z + Y ÷ X. We need to break this compound expression into individual relationships according to the rules provided.

  1. The first part is W × Z. According to the rules, A × B means 'A is son of B'. So, W × Z means 'W is the son of Z'. This tells us that Z is the parent of W.
  2. The second part is Z + Y. According to the rules, A + B means 'A is the mother of B'. So, Z + Y means 'Z is the mother of Y'. This tells us that Z is the mother.
  3. The third part is Y ÷ X. According to the rules, A ÷ B means 'A is the daughter of B'. So, Y ÷ X means 'Y is the daughter of X'. This tells us that X is the parent of Y.

Determining the Relationship between X and Z

Now let's combine the relationships we've deduced:

  • From W × Z, we know Z is a parent of W.
  • From Z + Y, we know Z is the mother of Y.
  • From Y ÷ X, we know Y is the daughter of X.

We have two key pieces of information about Y:

  • Z is the mother of Y (from Z + Y).
  • Y is the daughter of X (from Y ÷ X).

If Y is the daughter of X, then X is a parent of Y. Since Z is already identified as the mother of Y, X must be the other parent, which means X is the father of Y.

So, Z and X are the parents of Y. Z is the mother, and X is the father. In a typical family structure, the mother and father are married to each other. Therefore, Z and X are husband and wife.

The question asks for the relationship of X to Z. Since Z is the wife of X (because Z is the mother and X is the father of Y), X is the husband of Z.

Conclusion

By breaking down the expression W × Z + Y ÷ X based on the given symbolic relationships, we found that Z is the mother of Y and Y is the daughter of X. This implies that Z and X are the parents of Y, with Z being the mother and X being the father. Thus, X is the husband of Z.

Revision Table: Blood Relation Symbols

Expression Relationship
W × Z W is son of Z
Z + Y Z is mother of Y
Y ÷ X Y is daughter of X
Combined Z is mother of Y, X is father of Y
Final Relation X is husband of Z

Additional Information on Blood Relation Puzzles

Blood relation puzzles often involve decoding symbolic representations or complex sentence structures to map out family relationships. These questions test your ability to logically deduce relationships based on given information. Key strategies include:

  • Breaking down complex expressions or sentences into smaller, manageable relationship statements.
  • Using diagrams (like family trees) to visualize the relationships, especially for more complex puzzles.
  • Paying close attention to the direction of the relationship (e.g., "A is son of B" is different from "B is son of A").
  • Identifying the gender of individuals where possible, as it often helps determine the specific relationship (e.g., mother vs. father, son vs. daughter).
  • Being careful about which individual's relationship to the other is being asked (e.g., "How is X related to Z?" is different from "How is Z related to X?").

Practicing different types of blood relation questions with varying symbols and structures can improve your speed and accuracy in solving them for competitive exams.

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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. 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?

  3. 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?

  4. 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?

  5. ‘A # B’ means ‘A is the father of B’.

    ‘A % B’ means ‘A is the mother of B’.

    ‘A @ B’ means ‘A is the sister of B’.

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

    If ‘G # M # T % S @ H & R & W @ U’, then which of the following statements is NOT correct?

  6. A + B means ‘B is the brother of A’;

    A - B means ‘A is the mother of B’;

    A × B means ‘A is the father of B’;

    A ÷ B means ‘ A is the son of B’.

    If, P + R × T - Q ÷ s + U, then how is S related to R?
  7. ‘R8S’ means ‘R is the father of S’.

    ‘R7S’ means ‘R is the sister of S’.

    ‘R6S’ means ‘R is the brother of S’.

    ‘R2S’ means ‘R is the wife of S’.

    Which of the following expressions represents ‘X is the mother of Y’?

  8. A + B means ‘A is the mother of B’

    A - B means ‘A is the father of B’

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

    A ÷ B means ‘A is the daughter of B’

    If P + R × T – Q ÷ S + U, then how is S related to T?
  9. ‘A +B’ means ‘A is the sister of B’

    ‘A - B’ means ‘A is the daughter of B’

    ‘A × B’ means ‘A is the brother of B’

    ‘A B’ means ‘A is the husband of B’

    IfV + U × Q – T + R + P × S, then how is P related to V?
  10. A + B means ‘B is the daughter of A’;

    A - B means ‘B is the sister of A’;

    A × B means ‘B is the husband of A’;

    A ÷ B means ‘A is the father of B’

    If, P ÷ R × T + Q - S × U + Z, Then how is R related to Z?

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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