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Question

‘A +B’ means ‘A is the sister of B’

‘A - B’ means ‘A is the daughter of B’

‘A × B’ means ‘A is the brother of B’

‘A B’ means ‘A is the husband of B’

IfV + U × Q – T + R + P × S, then how is P related to V?

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is

Maternal uncle

Understanding Blood Relation Coding

This question involves decoding a set of relationships represented by symbols and then using the decoded information to determine the relationship between two specific individuals in a given expression. Let's first understand the meaning of each symbol:

  • \(A + B\) means \(A\) is the sister of \(B\).
  • \(A - B\) means \(A\) is the daughter of \(B\).
  • \(A \times B\) means \(A\) is the brother of \(B\).
  • \(A \div B\) means \(A\) is the husband of \(B\). (Note: The expression uses symbols +, -, and ×, but the definition for ÷ is provided, though not used. We will focus on the symbols used in the expression).

Decoding the Blood Relation Expression

The given expression is \(V + U \times Q - T + R + P \times S\). We need to break this down segment by segment from left to right to build the family tree.

  1. \(V + U\): According to the code, \(V + U\) means \(V\) is the sister of \(U\).
  2. \(U \times Q\): According to the code, \(U \times Q\) means \(U\) is the brother of \(Q\).

    From steps 1 and 2, we know that \(V\) is the sister of \(U\), and \(U\) is the brother of \(Q\). This means \(V\), \(U\), and \(Q\) are siblings. \(V\) is female (sister) and \(U\) is male (brother). \(Q\)'s gender is not yet determined from this part alone.

  3. \(Q - T\): According to the code, \(Q - T\) means \(Q\) is the daughter of \(T\).

    This tells us that \(T\) is the parent of \(Q\). Since \(V\), \(U\), and \(Q\) are siblings, \(T\) is the parent of \(V\), \(U\), and \(Q\).

  4. \(T + R\): According to the code, \(T + R\) means \(T\) is the sister of \(R\).

    This confirms \(T\) is female.

  5. \(R + P\): According to the code, \(R + P\) means \(R\) is the sister of \(P\).

    From steps 4 and 5, \(T\) is the sister of \(R\), and \(R\) is the sister of \(P\). This means \(T\), \(R\), and \(P\) are siblings. \(T\) is female (sister) and \(R\) is female (sister). \(P\)'s gender is not yet determined from this part alone.

  6. \(P \times S\): According to the code, \(P \times S\) means \(P\) is the brother of \(S\).

    This confirms \(P\) is male. From steps 4, 5, and 6, \(T\), \(R\), \(P\), and \(S\) are siblings. \(T\) is female, \(R\) is female, and \(P\) is male. \(S\)'s gender is not determined.

Constructing the Family Relationship Diagram

Based on the decoded relationships, we can summarize the connections:

  • \(V\), \(U\), \(Q\) are siblings. \(V\) is female, \(U\) is male, \(Q\) is female (daughter of T).
  • \(T\) is the parent of \(V\), \(U\), and \(Q\).
  • \(T\), \(R\), \(P\), \(S\) are siblings. \(T\) is female, \(R\) is female, \(P\) is male.

Since \(T\) is female and is the parent of \(V\), \(T\) is \(V\)'s mother. \(P\) is the brother of \(T\). Therefore, \(P\) is the brother of \(V\)'s mother.

Determining the Relationship of P to V

We have established that:

  • \(T\) is the mother of \(V\).
  • \(P\) is the brother of \(T\).

The brother of one's mother is one's maternal uncle.

Thus, \(P\) is the maternal uncle of \(V\).

Analyzing the Options

Let's check the given options:

  • Paternal aunt: Incorrect, P is male and related through the mother's side.
  • Paternal uncle: Incorrect, related through the mother's side.
  • Maternal uncle: Correct, P is male and is the brother of V's mother.
  • Maternal aunt: Incorrect, P is male.

The relationship of \(P\) to \(V\) is that \(P\) is the Maternal uncle of \(V\).

Symbol Relationship
\(+\) Sister
\(-\) Daughter
\( \times \) Brother
\( \div \) Husband

Expression Segment Decoded Relationship Gender/Relation Derived
\(V + U\) V is sister of U V is female
\(U \times Q\) U is brother of Q U is male
\(Q - T\) Q is daughter of T Q is female, T is parent of V, U, Q
\(T + R\) T is sister of R T is female
\(R + P\) R is sister of P R is female
\(P \times S\) P is brother of S P is male

Combining the deductions:

  • V, U, Q are siblings, and T is their parent.
  • T, R, P, S are siblings.
  • T is female. Since T is V's parent and is female, T is V's mother.
  • P is the brother of T.
  • Therefore, P is the brother of V's mother, making P the maternal uncle of V.

Revision Table: Blood Relation Coding Summary

Symbol Relation Represented
\(+\) Sister of
\(-\) Daughter of
\( \times \) Brother of
\( \div \) Husband of

Additional Information: Tips for Solving Blood Relation Puzzles

Solving blood relation puzzles often involves systematically breaking down the given information. Here are some helpful tips:

  • Draw a Family Tree: Visualizing the relationships using a diagram can make it much easier to track connections and genders.
  • Determine Gender: Pay close attention to which parts of the relation definition assign a gender (e.g., "A is the sister of B" tells you A's gender, but not B's).
  • Break Down Complex Expressions: Handle expressions segment by segment, working from left to right.
  • Identify Generations: Place individuals on different levels in your tree to represent parent-child or grandparent-grandchild relationships.
  • Practice Different Types: Familiarize yourself with coded relations, puzzles based on conversations, and family tree-based questions.
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Similar Questions

  1. If S - T means that S is the mother of T, S × T means that S is the father of T, S + T means that S is the sister of T, then which of the following expression shows that P is the mother of R?

  2. A - B means ‘A is the mother of B’

    A * B means ‘A is the husband of B’

    A % B means ‘A is the brother of B’

    A $ B means ‘A is the sister of B’

    If I * J - K % L $ M * N, then how is I related to N?

  3. A # B means ‘A is the sister of B’.

    A @ B means ‘A is the son of B’.

    A & B means ‘A is the father of B’.

    A % B means ‘A is the mother of B’.

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

  4. If X × Y means that X is the mother of Y, X – Y means that X is the father of Y, X ÷ Y means that X is the sister of Y, then which of the following expression shows that P is the paternal grandfather of R?

  5. ‘A # B’ means ‘A is the father of B’.

    ‘A % B’ means ‘A is the mother of B’.

    ‘A @ B’ means ‘A is the sister of B’.

    ‘A & B’ means ‘A is the son of B’.

    If ‘G # M # T % S @ H & R & W @ U’, then which of the following statements is NOT correct?

  6. A + B means ‘B is the brother of A’;

    A - B means ‘A is the mother of B’;

    A × B means ‘A is the father of B’;

    A ÷ B means ‘ A is the son of B’.

    If, P + R × T - Q ÷ s + U, then how is S related to R?
  7. ‘R8S’ means ‘R is the father of S’.

    ‘R7S’ means ‘R is the sister of S’.

    ‘R6S’ means ‘R is the brother of S’.

    ‘R2S’ means ‘R is the wife of S’.

    Which of the following expressions represents ‘X is the mother of Y’?

  8. A + B means ‘A is the mother of B’

    A - B means ‘A is the father of B’

    A × B means ‘A is the sister of B’

    A ÷ B means ‘A is the daughter of B’

    If P + R × T – Q ÷ S + U, then how is S related to T?
  9. A + B means ‘A is the mother of B’;

    A - B means ‘A is the husband of B’;

    A × B means ‘A is son of B’;

    A ÷ B means ‘A is the daughter of B’.

    If W × Z + Y ÷ X, then how is X related to Z?
  10. A + B means ‘B is the daughter of A’;

    A - B means ‘B is the sister of A’;

    A × B means ‘B is the husband of A’;

    A ÷ B means ‘A is the father of B’

    If, P ÷ R × T + Q - S × U + Z, Then how is R related to Z?

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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