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Question

‘A + B’ means ‘A is the wife of B’.

‘A - B’ means ‘A is the father of B’.

‘A × B’ means ‘A is the son of B’.

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

If P + K - R + J ÷ M × T + Z, then which of the following statements is correct?

This question was previously asked in
SSC Stenographer 2020-21 Previous Year Paper (15-Nov-2021) (Shift 2)
The correct answer is

Z is the father of J.

Understanding Blood Relation Coding

This question requires us to decode a set of relationships represented by symbols and then determine which of the given statements is true based on the resulting family structure. We are given the following coding rules:

Symbol Meaning
+ is the wife of
- is the father of
× is the son of
÷ is the brother of

The given expression is: P + K - R + J ÷ M × T + Z

Let's decode the expression step by step to build the family relationships:

  • P + K: According to the rule 'A + B' means 'A is the wife of B', so 'P + K' means P is the wife of K. This implies K is the husband of P. (P is female, K is male)
  • K - R: According to the rule 'A - B' means 'A is the father of B', so 'K - R' means K is the father of R. R is the child of K (and P). (K is male, gender of R is unknown yet)
  • R + J: According to the rule 'A + B' means 'A is the wife of B', so 'R + J' means R is the wife of J. This implies J is the husband of R. (R is female, J is male)
  • J ÷ M: According to the rule 'A ÷ B' means 'A is the brother of B', so 'J ÷ M' means J is the brother of M. (J is male, gender of M is unknown yet)
  • M × T: According to the rule 'A × B' means 'A is the son of B', so 'M × T' means M is the son of T. This implies T is the parent (father or mother) of M. (M is male, gender of T is unknown yet)
  • T + Z: According to the rule 'A + B' means 'A is the wife of B', so 'T + Z' means T is the wife of Z. This implies Z is the husband of T. (T is female, Z is male)

Now let's combine these relationships:

  • P and K are married, and R is their child. P is R's mother, K is R's father.
  • R and J are married. R is P and K's child, so J is married to P and K's child.
  • J is the brother of M.
  • M is the son of T. T is the wife of Z. So, M is the son of T and Z.
  • Since J is the brother of M, and M is the son of T and Z, it means J is also a child of T and Z.
  • Therefore, J and M are siblings, and T and Z are their parents. T is the mother and Z is the father.

Summary of key relationships:

  • P ↔ K (Spouses), R is their child.
  • R ↔ J (Spouses).
  • J ↔ M (Siblings).
  • T ↔ Z (Spouses), J and M are their children.

This means R (child of P & K) is married to J (child of T & Z). J and M are siblings, both children of T and Z.

Evaluating the Statements

Let's check each statement based on the decoded relationships:

  1. K is the father of M.
    K is the father of R. R is married to J. J is the brother of M. J and M are children of T and Z. K is R's father. R is J's wife. So K is J's father-in-law. K is not the father of M. This statement is incorrect.
  2. R is the daughter of T.
    R is the daughter of K (and P). R is married to J. J is the son of T (and Z). R is the daughter-in-law of T. R is not the daughter of T. This statement is incorrect.
  3. P is the mother of J.
    P is the mother of R. R is married to J. P is the mother-in-law of J. P is not the mother of J. This statement is incorrect.
  4. Z is the father of J.
    We decoded that J is the brother of M, and M is the son of T and Z. This means J and M are siblings and children of T and Z. Since T is the wife of Z, Z is the father of their children. Therefore, Z is the father of J. This statement is correct.

Based on the analysis of the blood relationships derived from the coded expression, the statement 'Z is the father of J' is the only correct one.

Revision Table: Blood Relation Symbols

Symbol Relationship Example (A Symbol B) A is …
+ A + B Wife of B
- A - B Father of B
× A × B Son of B
÷ A ÷ B Brother of B

Additional Information: Solving Blood Relation Problems

Solving blood relation questions with coded relationships involves a systematic approach:

  • Understand the Codes: Carefully note down what each symbol represents in terms of relationship and gender (if specified).
  • Decode the Expression: Break the given expression into smaller parts based on the symbols. For each part (e.g., A ÷ B), write down the exact relationship (A is brother of B) and the gender of the first person (A is male). The gender of the second person (B) might be unknown unless stated or implied by a later part of the expression.
  • Build a Family Tree/Diagram: Use the decoded relationships to draw a family tree or list the connections clearly. Represent generations, marital relationships, and sibling relationships. Use symbols for gender (e.g., + for male, - for female, or M/F). Use double lines for marriage, single lines for parent-child, and horizontal lines for siblings.
  • Analyze the Statements: Once the family structure is clear, examine each given statement. Trace the relationship mentioned in the statement using your family tree or relationship list to verify its accuracy.
  • Practice: Solving various types of blood relation puzzles helps improve speed and accuracy. Pay close attention to genders and how relationships change across generations.
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Similar Questions

  1. 'A + B' means 'A is the son of B'

    'A - B' means 'A is the husband of B'

    'A × B' means 'A is the wife of B'

    'A ÷ B' means 'A is the brother of B'

    Hence, if we consider K ÷ Q × M + R × D + H - L, then how is L related to M?

  2. 'A # B' means 'A is the sister 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 son of B'

    Which of the following expressions means 'U is the mother of D' ?

  3. ‘A + B’ means ‘A is the son of B’

    ‘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’

    If ‘F × G ÷ K − M + S × W’, then which of the following statements is NOT correct?

  4. ‘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 brother of B’

    If ‘C + M – S × K − P ÷ T’, then which of the following statements is NOT correct?

  5. ‘A + B' means 'A is the brother of B'

    'A - B' means 'A is the mother of B'

    'A × B' means 'A is the husband of B'

    'A ÷ B' means 'A is the sister of B'

    'A # B' means 'A is the daughter-in-law of B'

    If 'C - M + S + K × R # T', then which of the following statements is not correct?

  6. ‘E + F’ means ‘E is the father of F’ ‘

    ‘E – F’ means ‘E is the sister of F’ ‘

    ‘E × F’ means ‘E is the brother of F’

    ‘E ÷ F’ means ‘E is the son of F’

    If ‘B – C + Z × G + Q’, how is C related to Q?

  7. 'A + B' means 'A' is the father of B'

    'A - B' means 'A' is the wife of B'

    'A × B' means 'A' is the brother of B'

    'A ÷ B' means 'A' is the son of B'

    Hence, if we consider M × R × Q + F + S - D ÷ U, then which of the following statements is NOT correct? 

  8. ‘A # B’ means ‘A is the husband of B’.

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

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

    If P & Q @ D # K @ S # T, then which of the following statements is NOT correct?

  9. 'A + B' means 'A is the mother of B'

    'A - B' means 'A is the husband of B'

    'A × B' means 'A is the father of B'

    'A ÷ B' means 'A is the daughter of B'

    Hence, if we consider S + Z - R ÷ H - P + U × M, then which of the following is NOT correct?

  10. 'A + B' means 'A is the brother of B'

    'A - B' means 'A is the mother of B'

    'A × B' means 'A is the husband of B'

    'A ÷ B' means 'A is the sister of B'

    If C ÷ M - S + K - T × Q, 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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