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Question

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?

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

Wife

Understanding Blood Relation Codes

This question involves decoding a series of relationships represented by mathematical symbols based on a given key. We need to use this key to determine the relationship between two individuals, S and T, from a complex expression.

Here is the key to the codes:

  • 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’

The given expression is: P + R × T – Q ÷ S + U

We need to find out how S is related to T based on this expression.

Decoding the Blood Relation Expression Step-by-Step

Let's break down the expression part by part to establish the relationships:

  1. P + R: According to the key, P + R means ‘P is the mother of R’.
  2. R × T: According to the key, R × T means ‘R is the sister of T’. Since R is the sister of T, R and T are siblings. P is the mother of R, so P is also the mother of T.
  3. T – Q: According to the key, T – Q means ‘T is the father of Q’.
  4. Q ÷ S: According to the key, Q ÷ S means ‘Q is the daughter of S’.
  5. S + U: According to the key, S + U means ‘S is the mother of U’.

Establishing the Relationships and Finding S's Relation to T

From the step-by-step decoding, we have the following direct relationships:

  • P is the mother of R.
  • R is the sister of T. (This implies T is the sibling of R, gender of T is not yet determined from this part alone).
  • T is the father of Q. (This establishes T's gender as male).
  • Q is the daughter of S. (This establishes Q's gender as female).
  • S is the mother of U. (This establishes S's gender as female).

Now, let's connect these relations to find the relationship between S and T.

We know that:

  • T is the father of Q.
  • Q is the daughter of S.

If T is the father of Q, and Q is also the daughter of S, it means that S must be the mother of Q. Parents of a child are father and mother.

Therefore, T and S are the parents of Q. Since T is the father and S is the mother of the same child (Q), S must be the wife of T.

Conclusion: S is the Wife of T

Based on the analysis of the given expression P + R × T – Q ÷ S + U, we determined that T is the father of Q and S is the mother of Q. This makes S the wife of T.

Let's check the options provided:

  1. Daughter
  2. Wife
  3. Mother
  4. Sister

Our derived relationship, "Wife", matches Option 2.

Relation Meaning
P + R P is mother of R
R × T R is sister of T
T – Q T is father of Q
Q ÷ S Q is daughter of S
S + U S is mother of U

Summary of derived relations connecting S and T:

  • T is the father of Q.
  • Q is the daughter of S.

This clearly indicates that S is the wife of T.

Revision Table: Blood Relation Logic

Expression Part Derived Relationship Inference for S and T
P + R × T P is mother of R, R is sister of T P is mother of T
T – Q T is father of Q T's role defined relative to Q
Q ÷ S Q is daughter of S S's role defined relative to Q
Combining T–Q and Q÷S T is father of Q, Q is daughter of S S is mother of Q, thus S is wife of T
S + U S is mother of U Additional info about S, confirms S is female

Additional Information: Solving Blood Relation Puzzles

Blood relation questions test your ability to decode relationships and build a logical family tree or chain of relations. Here are some tips for solving such puzzles:

  • Always start by understanding the meaning of each symbol or code provided.
  • Break down the given expression step-by-step, decoding one relationship at a time.
  • Draw a family tree or use a notation system (like representing generations) to visualize the relationships. This is especially helpful for complex expressions.
  • Determine the gender of individuals whenever possible, as it can help eliminate options.
  • Carefully read the question asked – sometimes it's 'How is A related to B?' and sometimes 'How is B related to A?'. The answer might be different.
  • Connect the relationships derived from different parts of the expression to build the complete picture.

In this specific question, linking 'T is father of Q' and 'Q is daughter of S' was the key step to deduce that S must be Q's mother, and consequently, T's wife.

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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 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?
  9. ‘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?
  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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