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If C% D means C is the wife of D; C & D means C is the father of D; and If C $ D means C is the daughter of D, then what would X $ Y % W & Z mean if W has only one daughter?

This question was previously asked in
RRB ALP 2018 CBT 2 Fitter Question Paper (21-Jan-2019) (Shift 3)
The correct answer is

X is the sister of Z

Decoding Blood Relations with Coded Symbols

This question requires us to decode the given symbols representing blood relations and then determine the relationship between two individuals in a complex expression based on these codes.

Understanding the Coded Relationships

We are given the following codes:

  • C % D means C is the wife of D.
  • C & D means C is the father of D.
  • C $ D means C is the daughter of D.

Analyzing the Expression: X $ Y % W & Z

Let's break down the expression step by step according to the given codes:

  1. X $ Y: According to the code "C $ D means C is the daughter of D", X $ Y means X is the daughter of Y. This tells us that Y is the parent of X, and X is female.
  2. Y % W: According to the code "C % D means C is the wife of D", Y % W means Y is the wife of W. This tells us that W is the husband of Y, and Y is female while W is male. Since Y is the wife of W, they are a couple.
  3. W & Z: According to the code "C & D means C is the father of D", W & Z means W is the father of Z. This tells us that Z is the child of W.

Combining the Relationships

Let's put the pieces together:

  • From X $ Y, X is the daughter of Y.
  • From Y % W, Y is the wife of W. This means Y and W are married.
  • Since X is the daughter of Y (and Y is married to W), X is also the daughter of W. So, W and Y are the parents of X.
  • From W & Z, W is the father of Z. This means Z is also a child of W.

Since both X and Z are children of the same parent (W), X and Z are siblings. We already know that X is female (from X $ Y). Therefore, X is the sister of Z.

Considering the Constraint: "W has only one daughter"

The problem states that W has only one daughter. We have already established that X is the daughter of W. This means X is that only daughter. Z is a child of W. Since X is the *only* daughter, Z cannot be a daughter if Z is different from X. However, even if Z is the same as X, or Z is a son, the relationship we derived (X is the sister of Z) remains consistent. X is definitely female (daughter of Y/W) and a sibling of Z (both share parent W).

Evaluating the Options

Now let's check the given options based on our conclusion that X is the sister of Z:

Option Analysis Correctness
X is the son of Z We determined X is female (daughter). A female cannot be a son. Incorrect
Z is the sister of X This describes Z's relationship to X. We concluded X is the sister of Z. This statement might be true if Z is female, but it's not the direct relationship of X to Z. The question asks "what would X $ Y % W & Z mean", implying the relationship between X and Z from the perspective of X. Incorrect (describes relationship from Z's perspective, not X's)
Z is the sister of the mother of X The mother of X is Y. Z is the child of W, Y's husband. Z is a sibling of X, not a sibling of Y. Incorrect
X is the sister of Z We determined that X is a female sibling of Z. This is consistent with our analysis. Correct

Based on the analysis, X is the sister of Z.

Revision Table: Blood Relation Symbols

Symbol Meaning Example (C & D)
% Wife C is the wife of D
& Father C is the father of D
$ Daughter C is the daughter of D

Additional Information: Solving Coded Blood Relations

Solving coded blood relation problems involves breaking down the given expression into smaller relationship segments and then combining these segments to build a family tree or chain of relationships. Key steps include:

  • Carefully noting the meaning of each symbol and how it relates the person before the symbol to the person after it.
  • Analyzing the given expression segment by segment from left to right, or by focusing on common individuals connecting different parts.
  • Determining the gender of individuals whenever possible based on the defined relationships (e.g., 'father' implies male, 'daughter' implies female, 'wife' implies female, 'husband' implies male).
  • Using the derived relationships to connect individuals and determine the relationship between the required people.
  • Paying attention to any additional constraints or conditions provided in the question, such as "only one daughter" or "no siblings".
  • Visualizing the relationships, perhaps by drawing a simple family tree sketch, can be very helpful.
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Similar Questions

  1. In a certain code language, A + B means ‘A is the mother of B’, A − B means ‘A is the brother of B’, A × B means ‘A is the wife of B’ and A % B means ‘A is the father of B’. How is Shreya related to Mahak if ‘Shreya + Dev − Taran × Harshit % Mahak’?

  2. In a certain code language,
    A + B means ‘A is the mother of B’,
    A − B means ‘A is the brother of B’,
    A × B means ‘A is the wife of B’ and
    A % B means ‘A is the father of B’.
    How is Satish related to Mayank if ‘Satish + Deep × Piyush – Hitesh % Mayank’?

  3. In a certain code language,
    ‘A + B’ means ‘A is the mother of B’,
    ‘A − B’ means ‘A is the brother of B’,
    ‘A × B’ means ‘A is the wife of B’ and
    ‘A ÷ B’ means ‘A is the father of B’.
    How is M related to K if ‘J × K − L ÷ M + N’?
  4. If C% D means C is the mother of D, C $ D means C is the wife of D, and if C & D means C is the son-in-law of D, then what does W % X $ Y & Z mean?

  5. If G + H means G is the sister of H; G – H means G is the daughter H and G * H means G is wife of H, which of the following shows that Q is the father of P?

  6. If A $ B means A is the sister of B, A # B means A is the mother of B and if A × B means A is the father of B, then what does P × Q $ R # S mean?

  7. If C $ D means C is the husband of D, C & D means C is the mother of D and C % D means C is the son of D, then what does X % Z $ W & Y mean if W has only one son?
  8. If I + J means I is the father of J; I – J means I is the son-in-law of J; and I * J means I is the wife of J, then which of the following shows that F is the brother of C, considering that C has only one sibling?

  9. If G + H means G is daughter of H, G- H means G is sister H and G * H means G is husband of H, which of the following shows that I is the daughter of H?


Important Questions from Coded Blood Relation Problems

  1. ‘A # B’ means ‘A is the son of B’.

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

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

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

    If ‘M @ R % K # G # N & T’, then which of the following statements is NOT correct?

  2. ‘A % B’ means ‘A is the sister of B’.

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

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

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

    If ‘R % T & Z $ S @ V @ C % Y’, then which of the following statements is NOT correct?

  3. Read the given information carefully and answer the question that follows.

    ‘K $ D’ means ‘K is the father of D’.

    ‘K < D’ means ‘K is the wife of D’.

    ‘K > D’ means ‘K is the daughter of D’.

    'K @ D’ means ‘K is the son of D’.

    How is S related to N in the expression ‘H > R $ S @ T > N’?

  4. ‘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’?

  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?

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