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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. C is the brother of B and D is the grandfather of E. B is the daughter-in-law of D and A is the father of E. How is C related to E?

  2. Mira is the wife of Ketan. Chaitanya is the brother of Kapila, who is the wife of Sudeep. Rani is the mother of Ketan and the wife of Surendra. Chaitanya is the son of Rani. How is Surendra related to Sudeep?

  3. L is the mother of M. L has only two children. N is the sister of M. N is the daughter of K. Z is the grandson of K. O is the mother of Z. How is O related to N?

  4. Ravali does not have any brother. Girima is the wife of Arjun. Zakir is the husband of Malavi. Chaya is the daughter of Ravali. Fatima is the daughter of Arjun. Malavi is the mother of Ravali. Girima is the maternal aunt of Chaya. How is Girima related to Zakir?

  5. There are 8 members P, Q, R, S, T, U, V and W are in a joint family. Q is brother of S. V is son of Q and R. S is brother of U. W is daughter of S and T. P is the wife of V. How is R related to P?

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