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Question

‘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?

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
The correct answer is W is the maternal grandmother of H.

Understanding Blood Relations and Coding

This question involves decoding relationships expressed using symbols. Each symbol represents a specific relation between two individuals. To solve this, we need to build a family structure or list the relationships based on the given coded expression.

Decoding the Relationship Symbols

Let's first understand what each symbol signifies:

Symbol Meaning
# Is the father of
% Is the mother of
@ Is the sister of
& Is the son of

Analyzing the Coded Expression: G # M # T % S @ H & R & W @ U

We will break down the expression from left to right to establish the relationships:

  • G # M: G is the father of M. (G is male).
  • M # T: M is the father of T. (M is male).
    • From the above two points, G is the father of M, and M is the father of T. This means G is the father of T's father, which makes G the paternal grandfather of T.
  • T % S: T is the mother of S. (T is female).
  • S @ H: S is the sister of H. (S is female; H is S's sibling).
    • From `T % S`, T is the mother of S. Since S and H are siblings, T is also the mother of H.
    • We know M is the father of T. T is the mother of S and H. So, M is the father of S's mother (T), which makes M the maternal grandfather of S.
  • H & R: H is the son of R. (H is male).
    • We already know T is the mother of H. Now we know H is the son of R. For H to have two parents, T and R must be the parents. Since T is the mother, R must be the father.
    • This implies T and R are married. Since T is female (mother) and R is male (father/son), R is the husband of T.
  • R & W: R is the son of W. (R is male).
    • W is the parent of R.
  • W @ U: W is the sister of U. (W is female).
    • Since W is female and the parent of R, W is the mother of R.
    • We know R is the father of H. W is the mother of R. So, W is the mother of H's father (R), which makes W the paternal grandmother of H.

Evaluating the Statements

Now, let's examine each given statement based on the relationships we've derived:

  1. G is the paternal grandfather of T.
    • G is father of M, M is father of T. G is the father of T's father. This is the definition of paternal grandfather. This statement is correct.
  2. W is the maternal grandmother of H.
    • W is mother of R, R is father of H. W is the mother of H's father. This is the definition of paternal grandmother. The statement says maternal grandmother. This statement is NOT correct.
  3. M is the maternal grandfather of S.
    • M is father of T, T is mother of S. M is the father of S's mother (T). This is the definition of maternal grandfather. This statement is correct.
  4. R is the husband of T.
    • T is mother of H, H is son of R. This means T and R are parents of H. Since T is the mother and H is R's son, R must be the father. If T and R are parents, and T is female while R is male, then R is the husband of T. This statement is correct.

Identifying the Incorrect Statement

Based on our analysis, the statement that is NOT correct is "W is the maternal grandmother of H", because W is the paternal grandmother of H.

Revision Table: Summarizing Relationships

Relation Explanation
G # M G is father of M
M # T M is father of T
T % S T is mother of S
S @ H S is sister of H
H & R H is son of R
R & W R is son of W
W @ U W is sister of U

Additional Information on Blood Relations Concepts

Understanding common blood relations is crucial for these types of questions. Here are a few key terms:

  • Paternal: Relating to the father's side of the family. For example, paternal grandfather is father's father.
  • Maternal: Relating to the mother's side of the family. For example, maternal grandmother is mother's mother.
  • Sibling: A brother or sister.
  • Spouse: A husband or wife.
  • In-laws: Relatives by marriage. For example, a mother-in-law is the spouse's mother.

Drawing a family tree diagram can often make these relationships clearer. Start with individuals whose relationships are directly stated and build outwards, assigning genders where indicated by the symbols or the resulting relationship (like father, mother, son, daughter, sister, brother).

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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 ‘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?
  6. ‘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’?

  7. 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?
  8. 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?
  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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