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Question

A # B means ‘A is the father of B’.

A @ B means ‘A is the son of B’.

A & B means ‘A is the sister of B’.

A % B means ‘A is the wife of B’.

If W # Q @ T & Y @ M % K, then how is K related to W?

The correct answer is

Father-in-law

Analyzing Blood Relations to Find the Relationship

The problem asks us to determine the relationship between K and W based on a series of coded relationships between several individuals. We need to decode each part of the expression W # Q @ T & Y @ M % K step-by-step and then combine the relationships to find the connection between K and W.

Decoding the Symbols

Let's first understand what each symbol represents:

  • A # B means ‘A is the father of B’.
  • A @ B means ‘A is the son of B’.
  • A & B means ‘A is the sister of B’.
  • A % B means ‘A is the wife of B’.

Breaking Down the Expression: W # Q @ T & Y @ M % K

We will decode the expression segment by segment from left to right:

  1. W # Q: W is the father of Q. This tells us W is male.
  2. Q @ T: Q is the son of T. This tells us Q is male. Since W is the father of Q and Q is the son of T, T must be the mother of Q. This means W and T are a married couple, with W as the husband and T as the wife. T is female.
  3. T & Y: T is the sister of Y. This confirms T is female. Y is T's sibling, gender unknown from this part alone.
  4. Y @ M: Y is the son of M. This tells us Y is male. Since Y is the son of M, M is either the father or mother of Y.
  5. M % K: M is the wife of K. This tells us M is female and K is her husband (male).

Combining the Relationships

Now, let's put the pieces together:

  • W is the father of Q.
  • T is the mother of Q (and wife of W).
  • T is the sister of Y.
  • Y is the son of M.
  • M is the wife of K (and K is the husband of M).

From T is the sister of Y, we know that T and Y share the same parents. The parents of Y are M and K (since M is the wife of K and Y is their son). Therefore, the parents of T must also be M and K.

So, K is the father of T (since K is male and married to M, T's mother). We know that W is married to T (W is husband, T is wife).

K is the father of T, and T is the wife of W.

Determining the Relationship between K and W

K is the father of W's wife (T). The father of one's wife is called the father-in-law.

Therefore, K is the father-in-law of W.

Relationship Interpretation Gender
W # Q W is father of Q W: Male
Q @ T Q is son of T Q: Male
W father of Q, Q son of T Implies T is mother of Q T: Female (and wife of W)
T & Y T is sister of Y Y: Sibling of T
Y @ M Y is son of M Y: Male
M % K M is wife of K M: Female, K: Male
Y son of M, M wife of K Implies K is father of Y (and M is mother of Y) K: Male, M: Female
T sister of Y, K father of Y Implies K is father of T K: Male
K is father of T, W is husband of T Implies K is father-in-law of W -

Based on the step-by-step deduction, K is the father of T, and T is married to W. This makes K the father-in-law of W.

Revision Table: Blood Relation Concepts

Relationship Term Description
Father-in-law The father of one's spouse.
Mother-in-law The mother of one's spouse.
Brother-in-law The brother of one's spouse, or the husband of one's sibling.
Sister-in-law The sister of one's spouse, or the wife of one's sibling.

Additional Information on Blood Relation Questions

Blood relation questions test your ability to understand and decode relationships described in various forms, often using symbols or complex language. Here are some tips for solving them:

  • Draw a family tree: Visualizing the relationships can make it much easier to track connections. Use symbols for gender (e.g., circle for female, square for male) and lines for relationships (vertical for parent-child, horizontal for siblings, double horizontal for spouse).
  • Decode one step at a time: Break down the given expression into smaller, manageable parts.
  • Determine gender: Note the gender of each person whenever possible, as it is crucial for determining relationships.
  • Combine relationships: Link the decoded parts together to build a complete picture of the family structure.
  • Trace the path: Once the structure is clear, trace the relationship path between the two individuals in question.
  • Practice: Solving various types of blood relation problems helps in understanding different relationship dynamics and decoding methods.

These types of questions are common in competitive exams and assess logical reasoning skills.

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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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