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Question

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? 

The correct answer is S is the grandmother of P

Understanding Blood Relations from Symbols

This question tests your ability to decode relationships based on specific symbols. We are given three symbols, each representing a different blood relation. We need to analyze a given expression involving these symbols to determine the relationship between two individuals mentioned in it.

Decoding the Symbols

Let's first understand what each symbol signifies:

  • A @ B means A is the son of B.
  • A # B means A is the husband of B.
  • A * B means A is the daughter of B.

Analyzing the Expression: P @ Q * R # S

We will break down the given expression P @ Q * R # S step-by-step from left to right to trace the relationships:

  1. P @ Q: According to the definition of '@', P @ Q means P is the son of Q. This tells us P's gender (male) and that Q is P's parent.
  2. Q * R: Moving to the next part, Q * R means Q is the daughter of R. This tells us Q's gender (female) and that R is Q's parent.
  3. R # S: The final part, R # S, means R is the husband of S. This tells us R's gender (male) and S's gender (female), and that R and S are married.

Tracing the Relationship between P and S

Now, let's connect these individual relationships to find the link between P and S:

  • From P @ Q, we know P is the son of Q.
  • From Q * R, we know Q is the daughter of R. This implies R is the parent of P's parent (Q). So, R is P's grandparent. Since Q is the daughter of R, R is the father of Q.
  • From R # S, we know R is the husband of S. Since R is the father of Q, and S is R's wife, S must be the mother of Q.
  • P is the son of Q, and S is the mother of Q. Therefore, S is the mother of P's mother.
  • The mother of one's mother is one's grandmother.

Thus, S is the grandmother of P.

Evaluating the Options

Let's check which option matches our derived relationship:

Option Relationship Analysis
1 S is the mother of P Incorrect. S is the grandmother of P.
2 P is the grandmother of S Incorrect. P is male (son) and a grandchild of S.
3 P is the mother of S Incorrect. P is male (son) and a grandchild of S.
4 S is the grandmother of P Correct. Our analysis shows S is the grandmother of P.

Based on the step-by-step decoding of the expression P @ Q * R # S, we conclude that S is the grandmother of P.

Revision Table: Blood Relations and Symbols

Symbol Meaning Example (A @ B)
@ A is the son of B A is male, B is A's parent
# A is the husband of B A is male, B is female, they are a married couple
* A is the daughter of B A is female, B is A's parent

Additional Information on Blood Relation Problems

Blood relation problems often involve decoding symbolic representations or family trees. Here are some tips for solving them:

  • Carefully read the definition of each symbol or term used to represent a relationship.
  • Break down the given expression or statement into smaller parts.
  • Trace the relationships step-by-step, preferably in a chain. For instance, if A is related to B, and B is related to C, find the link from A to C.
  • Determine the gender of individuals whenever possible, as it helps eliminate incorrect options (like P being a grandmother in this case, which is impossible as P is a son).
  • Visualize the family structure or draw a diagram if the relationships are complex. Represent males with one shape (e.g., square) and females with another (e.g., circle), and use lines to indicate relationships (e.g., double line for marriage, single line for parent-child).
  • Once you have determined the final relationship, compare it with the given options.

Practice with different types of blood relation questions involving varying symbols and structures to improve your speed and accuracy.

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Important Questions from Coded Blood Relation Problems

  1. 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?

  2. 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?

  3. 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?

  4. 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’?

  5. 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?

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