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Question

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. Ina certain code language, 
    ‘A+B’ means ‘A is the mother of B’, 
    'A - B' means ‘A is the brother of B’, 
    'A x B’ means ‘A is the wife of B’ and 
    '\(A\div B\)' means ‘A is the father of B'. 
    How is M related to T if ‘M+N x P- \(S\div T\)'?

  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’.

    Based on the above, how is Q related to T if ‘P – Q × R ÷ S + T’?

  3. In a certain code language, 'A × B' means 'A is the son 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 T if 'M × N - P % S + T'?
  4. 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?

  5. If A \(B means A is the sister of B, A # B means A is the husband of B and A * B means A is the daughter of B, then what does P\) Q * R # S mean?

  6. If E % F means E is the brother of F, E & F means E is the sister of F  and  E  \( F  means  E   is   the   daughter  of  F,  then  what  does  P%  Q  &  R  \)  S  mean?

  7. If G + H means G is daughter of H; G - H means G is father-in-law of H; and G * H means G is husband of H; then which of the following shows that O is the sister L?

  8. 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?
  9. If G + H means G is the son H, G - H means G is the husband of H and G * H means G is the sister of H, which of the following shows that J is the mother-in-law of N?
  10. If E % F means E is father of F, E & F means E is sister of F and E \(F means E is wife of F, then what does P \) R % S & Q mean, if R has only one daughter?

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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