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Question

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?

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

Maternal grandmother

Solving Blood Relation Puzzles

This problem involves decoding a set of relationships defined by specific symbols and then using them to determine the relationship between two individuals based on a given expression. Let's break down the process step-by-step.

Understanding the Relationship Codes

The question provides a set of codes that represent different relationships. It is crucial to understand each one accurately:

  • A + B means ‘B is the daughter of A’. This tells us A is a parent of B, and B is female.
  • A - B means ‘B is the sister of A’. This tells us A and B are siblings, and B is female. A's gender is not specified by this relation.
  • A × B means ‘B is the husband of A’. This tells us A and B are a married couple, A is female (wife), and B is male (husband).
  • A ÷ B means ‘A is the father of B’. This tells us A is a parent of B, and A is male. B's gender is not specified by this relation.

Analyzing the Blood Relation Expression

The given expression is: P ÷ R × T + Q - S × U + Z. We need to decode this expression segment by segment from left to right.

  1. P ÷ R: According to the rule A ÷ B means 'A is the father of B', this means P is the father of R. P is male.
  2. R × T: According to the rule A × B means 'B is the husband of A', this means T is the husband of R. So, R is the wife of T. R is female, and T is male. Since P is R's father, P is T's father-in-law.
  3. T + Q: According to the rule A + B means 'B is the daughter of A', this means Q is the daughter of T. Q is female. Since T is married to R, Q is also the daughter of R. So, Q is the child of both R and T.
  4. Q - S: According to the rule A - B means 'B is the sister of A', this means S is the sister of Q. S is female. Since Q is the child of R and T, and S is Q's sister, S is also the child of R and T. Q and S are siblings.
  5. S × U: According to the rule A × B means 'B is the husband of A', this means U is the husband of S. So, S is the wife of U. S is female, and U is male. S and U are a married couple.
  6. U + Z: According to the rule A + B means 'B is the daughter of A', this means Z is the daughter of U. Z is female. Since U is married to S, Z is also the daughter of S. So, Z is the child of both S and U.

Building the Family Tree Structure

Based on the analysis, we can visualize the family connections:

Relationship Individuals Genders Inferred
P is father of R P → R P (Male), R (Child of P)
R is wife of T R — T (Married) R (Female), T (Male)
Q is daughter of T T → Q Q (Female)
S is sister of Q Q — S (Siblings) S (Female)
U is husband of S S — U (Married) S (Female), U (Male)
Z is daughter of U U → Z Z (Female)

Combining these steps:

  • P is the father of R.
  • R is married to T. R and T are parents.
  • Q is the daughter of R and T.
  • S is the sister of Q. S is also the daughter of R and T.
  • S is married to U. S and U are parents.
  • Z is the daughter of S and U.

Determining the Relationship Between R and Z

We need to find how R is related to Z. Let's trace the connection:

  • R is the mother of S (since S is the daughter of R and T, and R is female).
  • S is the mother of Z (since Z is the daughter of S and U, and S is female).

So, R is the mother of S, and S is the mother of Z. This means R is the mother of Z's mother.

The mother of one's mother is the maternal grandmother.

Therefore, R is the maternal grandmother of Z.

Final Check of Blood Relations

Let's verify the steps:

  • P (Male) is R's father.
  • R (Female) is married to T (Male). R and T are parents.
  • Q (Female) is daughter of R and T.
  • S (Female) is sister of Q, so S is also daughter of R and T.
  • S (Female) is married to U (Male). S and U are parents.
  • Z (Female) is daughter of S and U.

R is S's mother. S is Z's mother. Thus, R is Z's maternal grandmother.

Revision Table for Blood Relations

Symbol Meaning Gender Clue
+ B is daughter of A B (Female)
- B is sister of A B (Female)
× B is husband of A A (Female), B (Male)
÷ A is father of B A (Male)

Additional Information on Blood Relations

Blood relation questions test your ability to decode relationships and build a family tree. Key terms to remember include:

  • Paternal: Related through the father's side of the family.
  • Maternal: Related through the mother's side of the family.
  • Grandfather: Father of your father (paternal) or mother (maternal).
  • Grandmother: Mother of your father (paternal) or mother (maternal).
  • Siblings: Brothers or sisters.
  • In-laws: Relatives by marriage (e.g., father-in-law, mother-in-law, sister-in-law, brother-in-law).

Always pay attention to the gender indications provided by the symbols and trace the relations carefully to avoid confusion. Drawing a simple diagram can be very helpful in visualizing the connections.

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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 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?
  10. ‘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?

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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