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Question

‘A + B’ means ‘A is the wife of B’.

‘A – B’ means ‘A is the husband of B’.

‘A × B’ means ‘A is the son of B’.

‘A ÷ B’ means ‘A is the mother of B’.

If T + Q × P – U ÷ R ÷ S + V, the how is R related to Q?

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

Sister

Decoding Blood Relations: Solving the Code Puzzle

This question requires us to decode a series of relationships expressed using mathematical symbols and then determine the relationship between two individuals, R and Q, based on the given expression: T + Q × P – U ÷ R ÷ S + V.

Understanding the Coded Relationships

Let's first understand what each symbol represents:

  • A + B means A is the wife of B. This implies B is the husband of A.
  • A – B means A is the husband of B. This implies B is the wife of A.
  • A × B means A is the son of B. This implies B is the parent of A.
  • A ÷ B means A is the mother of B. This implies B is the child of A.

We can summarize these rules in a table:

Symbol Relation (A to B) Implied Relation (B to A)
+ Wife Husband
Husband Wife
× Son Parent
÷ Mother Child

Breaking Down the Expression: T + Q × P – U ÷ R ÷ S + V

Now let's analyze the given expression segment by segment from left to right:

  1. T + Q: According to the rule for '+', T is the wife of Q. This means Q is the husband of T. (T is female, Q is male)
  2. Q × P: According to the rule for '×', Q is the son of P. P is the parent of Q. (Q is male)
  3. P – U: According to the rule for '–', P is the husband of U. This means U is the wife of P. (P is male, U is female)
  4. U ÷ R: According to the rule for '÷', U is the mother of R. R is the child of U. (U is female)
  5. R ÷ S: According to the rule for '÷', R is the mother of S. S is the child of R. (R is female)
  6. S + V: According to the rule for '+', S is the wife of V. This means V is the husband of S. (S is female, V is male)

Constructing the Family Relationships

Let's combine these relationships:

  • T is wife of Q. Q is husband of T.
  • Q is son of P.
  • P is husband of U. U is wife of P.
  • From steps 2 and 3, P and U are the parents of Q. P is the father and U is the mother.
  • U is the mother of R. This means R is a child of U. Since Q is also a child of U (and P), Q and R are siblings.
  • R is the mother of S. This confirms R is female.
  • S is wife of V.

So, we have:

  • P (Male) and U (Female) are parents.
  • Q (Male) and R (Female) are their children, making them siblings.
  • Q is married to T (Female).
  • R is mother of S (Female).
  • S is married to V (Male).

Determining the Relation of R to Q

We need to find out how R is related to Q. From our analysis, we know that Q and R are both children of U and P. Q is the son and R is the daughter (since R is the mother of S, R must be female). Therefore, R is the sister of Q.

Revision Table: Key Relations

Expression Segment Relationship Gender Inferred
T + Q T is wife of Q T: Female, Q: Male
Q × P Q is son of P Q: Male
P – U P is husband of U P: Male, U: Female
U ÷ R U is mother of R U: Female
R ÷ S R is mother of S R: Female
S + V S is wife of V S: Female, V: Male

Based on the relationships, P and U are parents of Q and R. Since R is female, R is the sister of Q.

Additional Information: Blood Relation Concepts

Blood relation questions test your ability to understand and deduce family relationships based on given information. Coded blood relation problems use symbols or artificial codes to represent relationships. To solve these:

  • Identify the code for each relation (e.g., + for wife, × for son).
  • Break down the given expression into smaller parts based on the operators.
  • Determine the relationship between the two individuals in each part. Remember to also infer the gender if possible.
  • Combine the relationships step-by-step to build a family tree or diagram, or simply list the direct and indirect relationships.
  • Finally, trace the path between the two individuals whose relationship is asked and determine their relation. Pay close attention to gender.

Common relationships involved are parent, child, sibling, spouse, grandparent, grandchild, aunt, uncle, niece, nephew, etc.

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Similar Questions

  1. Directions: These questions are based on the following information:

    ‘P @ Q’ means ‘Q is the mother of P’.
    ‘P $ Q’ means ‘Q is the husband of P’.
    ‘P # Q’ means ‘Q is the sister of P’.
    ‘P & Q’ means ‘Q is the son of P’.

    If ‘Z # M $ C & D & E’ then how is E related with M?
  2. Directions: These questions are based on the following information:

    'P@Q' means 'Q is the mother of P'.
    'P $ Q' means 'Q is the husband of P'.
    'P#Q' means 'Q is the sister of P'.
    'P & Q' means 'Q is the son of P'.

    If 'A & B @ C & D # E' then how is A related with E?
  3. A - B means A is the sister of B 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 What is the relation in A × B + C?
  4. Directions: Study the following information carefully to answer the given questions:

     If 'A & B' means 'A is the mother of B'

     If 'A $ B' means 'A is the brother of B'

     If 'A # B' means 'A is the sister of B' 

    If 'A @ B' means 'A is the father of B' 

    If 'A % B' means 'A is the daughter of B'

     If 'A * B' means 'A is the son of B' 

    Which of the following means R is a brother of P?

  5. In a certain code language,

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

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

    ‘A x B’ means ‘A is the wife of B’;

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

    Based on the above, how is S related to P if ‘P x Q ÷ R – S x A’?

  6. In a certain code language, A + B means ‘A is the son of B’, A − B means ‘A is the wife of B’, A × B means ‘A is the brother of B’ and A ÷ B means ‘A is the mother of B’. Based on the above, how is T related to P if ‘P − M + R ÷ T × S’?

  7. In a certain code language,

    ‘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’; and,

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

    Based on the above, how is M related to T if ‘M # N @ L × P + T’?

  8. If,

    'C @ S' means 'C is the father of S',

    'C * S' means 'C is the brother of S',

    'C # S' means 'C is the sister of S',

    'C $ S' means 'C is the daughter of S',

    'C = S' means 'C is the mother of S',

    then how is Z related to Q in the following expression?

    Q $ R @ S * T  $ Z

  9. 'P @ Q' means 'P is the wife of Q'.

    'P # Q' means 'P is the brother of Q'.

    'P $ Q' means 'P is the father of Q'.

    'P - Q' means 'P is the daughter of Q'.

    If Z - B $ D $ G, then how is Z related to G?

  10. ‘A + B’ means ‘Ais brother of B’

    ‘A - B’ means ‘A is mother of B’

    ‘A × B’ means ‘A is husband of B’

    ‘A ÷ B’ means ‘A is sister of B’

    If C ÷ B - E + A × F - D, then, which of the following statements is NOT correct? 


Important Questions from Coded Blood Relation Problems

  1. ‘R+S’ means ‘R is the daughter of S’. ‘R−S’ means ‘R is the husband of S’.‘R × S’ means ‘R is the brother of S’. If ‘T × V + Z’, then which of the following options is true?

  2. 'P × Q' means 'P is the wife of Q'. 'P + Q' means 'P is the father of Q'. 'P ÷ Q' means 'P is the daughter of Q'. 'P - Q' means 'P is the son of Q'. How is E related to I in the expression 'E ÷ F + G - H ÷ I' ?

  3. 'K % L' means 'K is the brother of L', 'K $ L' means 'K is the husband of L', 'K @ L' means 'K is the sister of L', 'K # L' means 'K is the mother of L'.

    How is H related to M in the expression ‘X @ P % T # M $ Y # J @ H’?

  4. If ‘A % B’ means ‘A is the father of B’, ‘A # B’ means ‘A is the brother of B’, and ‘A $ B’ means ‘A is the wife of B’, then how is K related to R in the given expression?

    K $ H % Y # M # R

  5. If 'A + B' means 'A is the daughter of B ', 'A × B' means 'A is the sister of B', and 'A = B' means 'A is the wife of B', then how is G related to R in the expression 'C × G × U + M = R'?

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