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Question

If,

‘B % D’ means ‘B is the brother of D’,

‘B & D’ means ‘B is the mother of D’,

'B × D’ means ‘B is the husband of D’,

‘B # D’ means ‘B is the sister of D’,

‘B $ D’ means ‘B is the son of D’,

‘B @ D’ means ‘B is the father of D’,

then how is P related to U in the following expression?

P $ Q × R # S % T $ U

The correct answer is

Grandson

Understanding Blood Relation Symbols

This question requires us to decode a series of symbols that represent specific blood relationships. Let's break down what each symbol means:

  • B % D means B is the brother of D (B is Male).
  • B & D means B is the mother of D (B is Female).
  • B × D means B is the husband of D (B is Male, D is Female).
  • B # D means B is the sister of D (B is Female).
  • B $ D means B is the son of D (B is Male).
  • B @ D means B is the father of D (B is Male).

We need to find the relationship of P to U based on the expression: P $ Q × R # S % T $ U.

Decoding the Given Expression Segment by Segment

Let's analyze the expression from left to right, determining the relationship between consecutive individuals:

  1. P $ Q: According to the definition, B $ D means B is the son of D. So, P $ Q means P is the son of Q. This tells us P is Male. Q is one of P's parents.
  2. Q × R: According to the definition, B × D means B is the husband of D. So, Q × R means Q is the husband of R. This tells us Q is Male and R is Female. Since Q is the husband of R, and Q is a parent of P (from step 1), Q is the father of P and R is the mother of P.
  3. R # S: According to the definition, B # D means B is the sister of D. So, R # S means R is the sister of S. This confirms R is Female. S is R's sibling.
  4. S % T: According to the definition, B % D means B is the brother of D. So, S % T means S is the brother of T. This tells us S is Male. T is S's sibling.
  5. T $ U: According to the definition, B $ D means B is the son of D. So, T $ U means T is the son of U. This tells us T is Male. U is one of T's parents.

Tracing the Relationship from P to U

Now let's put these relationships together to find how P is related to U:

  • From step 1 and 2: P is the son of Q and R. Q is the father, R is the mother.
  • From step 3: R is the sister of S.
  • From step 4: S is the brother of T.
  • From step 5: T is the son of U.

Let's build the connections:

T is the son of U. S is the brother of T. So, S is also a child of U. R is the sister of S. So, R is also a child of U.

We know R is the mother of P. Since R is the mother of P, and R is the child of U, this means P is the child of U's child.

Specifically:

  • U is a parent of T.
  • T, S, and R are siblings (T is son of U, S is brother of T, R is sister of S). Therefore, R is also a child of U.
  • R is the mother of P.

If R is the mother of P and R is the child of U, then P is the grandchild of U.

Since we determined that P is Male (from P $ Q), P is the grandson of U.

Summary of Relationships

Relationship Derived Information
P $ Q P is the son of Q (P is Male)
Q × R Q is husband of R (Q is Male, R is Female). Q is father of P, R is mother of P.
R # S R is sister of S (R is Female)
S % T S is brother of T (S is Male)
T $ U T is son of U (T is Male)

Tracing the chain: P is son of R. R is sister of S. S is brother of T. T is son of U.

This means R, S, and T are siblings and children of U.

P is the son of R, and R is the child of U. Therefore, P is the grandchild of U.

Since P is male, P is the grandson of U.

Revision Table: Blood Relation Symbols

Symbol Relationship B to D Gender of B Gender of D
% Brother Male Unknown
& Mother Female Unknown
× Husband Male Female
# Sister Female Unknown
$ Son Male Unknown
@ Father Male Unknown

Additional Information: Solving Blood Relation Problems

Solving blood relation questions with symbols involves a systematic approach. Here are some tips:

  • Carefully note down what each symbol represents and the gender implications if any.
  • Break down the given expression into smaller segments.
  • Determine the relationship between the two individuals in each segment. Assign genders where possible.
  • Combine the relationships step-by-step to build a family tree or chain of relations.
  • Trace the path from the first person mentioned to the second person mentioned in the question (e.g., from P to U).
  • Pay close attention to the gender of the person whose relation is being asked (in this case, P).
  • Practice with different types of symbolic relations to improve speed and accuracy.

These questions test your logical reasoning and ability to follow instructions precisely.

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Important Questions from Family Tree Problems

  1. Saloni is the daughter of the only son of Kartik. Nirupama is the mother of Deepak. Yamini’s only son, Ankit, is married to Nirupama. Kartik is the paternal grandfather of Deepak. How is Kartik related to Ankit?

  2. P, L, T, B, N and D are six members of a business family. N is the son of B, who is not the mother of N. L is the brother of B. D and B are a married couple. T is the daughter of D, who is the sister of P. How is N related to T?

  3. Ramesh is the father of Manideep. Ramesh has only two children. Manideep is the brother of Niharika. Niharika is the daughter of Kavita. Ananya is the granddaughter of Kavita. Sujit is the father of Ananya. How is Sujit related to Manideep?

  4. P is the brother of Q. S is the father of P. R is the brother of S. If T is the mother of R, then how is P related to T?

  5. There are seven members, B, C, D, E, F, G and H, in a family. H is the only daughter-in- law of D. E is the sister of C. C is the only son of F, who is the wife of D. B and G are the sons of H. How is G related to F?

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