All Exams Test series for 1 year @ ₹349 only
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.

Was this answer helpful?

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. If A × B means that A is the father of B, A ÷ B means that A is the mother of B, A + B means that A is the brother of B then which of the following expression shows that P is the paternal grandmother of R?

  3. ‘A @ B’ means ‘A is the husband of B’.

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

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

    If F & G @ H # I @ J, then how is G related to J?

  4. 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?

  5. 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?

  6. A # B means ‘A is the brother of B’

    A @ B means ‘A is the son of B’

    A & B means ‘A is the wife of B’

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

    If A % B & C # D @ E, then how is B related to E?

  7. 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 Q related to K?

  8. If A × B means that A is the brother of B, A – B means that A is the sister of B, A + B means that A is the father of B then which of the following expression shows that P is the father of R?
  9. ‘A @ B’ means ‘A is the husband of B’.

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

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

    If S @ T # P @ Q # R & V, then how is T related to Q?

  10. 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?


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’?

Need Expert Advice?
Upcoming Exams
SSC CGL
September 30, 2026
UPSSSC PET
October 23, 2026
Test Series
SSC CGL img
SSC
SSC CGL (Tier I + Tier II) 2026 Mock Test Series - Latest Pattern
2503 Tests 6 Tests Free
5390 Attempts
4.2(868)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App