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Question

A + B means ‘A is the husband of B’;

A - B means ‘A is the wife of B’;

A × B means ‘A is the mother of B’;

A ÷ B means ‘A is the son of B’

If, W × R × J – S ÷ V + L, Then which of the following statements is NOT correct?

This question was previously asked in
SSC CGL 2019 (Tier 2) GS Finance & Economics Previous Year Paper (17-Nov-2020)
The correct answer is

L is the mother-in-law of S.

Understanding the Blood Relation Code

The problem provides a set of codes to represent blood relationships:

  • A + B means ‘A is the husband of B’
  • A - B means ‘A is the wife of B’
  • A × B means ‘A is the mother of B’
  • A ÷ B means ‘A is the son of B’

We are given the expression: W × R × J – S ÷ V + L. We need to decode this expression to determine the relationships between the individuals and then evaluate the given statements to find the one that is not correct.

Decoding the Expression: W × R × J – S ÷ V + L

Let's break down the expression segment by segment:

  1. W × R: According to the code, A × B means A is the mother of B. So, W is the mother of R. This tells us W is female.
  2. R × J: R is the mother of J. This tells us R is female. From steps 1 and 2, W is the mother of R, and R is the mother of J. This makes W the maternal grandmother of J.
  3. J – S: A - B means A is the wife of B. So, J is the wife of S. This tells us J is female and S is male.
  4. S ÷ V: A ÷ B means A is the son of B. So, S is the son of V. This confirms S is male. V is either the father or mother of S.
  5. V + L: A + B means A is the husband of B. So, V is the husband of L. This tells us V is male and L is female. From step 4, S is the son of V. Since V is male, V is the father of S. And since V is married to L, L must be the mother of S.

Summary of Deduced Relationships

Based on the decoding, we can summarise the key relationships:

  • W is the mother of R.
  • R is the mother of J.
  • J is the wife of S.
  • S is the son of V.
  • V is the husband of L.
  • W is the maternal grandmother of J (W → R → J).
  • J is the wife of S, and S is the son of V and L. So, V and L are the parents of S.
  • V is the father of S (as V is male).
  • L is the mother of S (as L is female and married to V).
  • J is married to S, who is the son of V and L. Therefore, V is the father-in-law of J, and L is the mother-in-law of J.

We can visualise this with a simple family structure (Generation up means parent, Generation down means child, = means married):

Generation Individual Relationship
G-2 W Mother of R
G-1 R Mother of J
G J Wife of S
G S Son of V & L, Husband of J
G-1 V Father of S, Husband of L
G-1 L Mother of S, Wife of V

Evaluating the Given Statements

Now let's check each statement against our findings:

  1. Statement 1: W is the maternal grandmother of J.
    We found that W is the mother of R, and R is the mother of J. This means W is indeed the maternal grandmother of J. This statement is correct.
  2. Statement 2: V is the father-in law of J.
    We found that S is the son of V, and J is married to S. Since S is the husband of J, V (S's father) is the father-in-law of J. This statement is correct.
  3. Statement 3: L is the wife of V.
    The expression V + L directly translates to V is the husband of L, which means L is the wife of V. This statement is correct.
  4. Statement 4: L is the mother-in-law of S.
    We found that L is the mother of S. A mother-in-law is the mother of one's spouse. L is S's mother, not the mother of S's spouse (J). L is the mother-in-law of J, but not of S. This statement is incorrect.

The statement that is NOT correct is Statement 4.

Revision Table: Decoding Blood Relation Problems

Symbol Meaning Example (A, B) Relationship
+ Husband of A + B A is husband, B is wife
- Wife of A - B A is wife, B is husband
× Mother of A × B A is mother, B is child
÷ Son of A ÷ B A is son, B is parent

Additional Information on Blood Relation Reasoning

Blood relation problems in reasoning tests assess your ability to understand and interpret relationships within a family structure based on given information. These problems can be presented in various forms:

  • Direct Relations: Stating relationships clearly (e.g., A is the father of B).
  • Coded Relations: Using symbols or codes to represent relationships, as in this problem.
  • Puzzle Form: Describing relationships indirectly or through multiple statements that need to be combined.

Solving coded blood relation problems typically involves:

  1. Carefully noting down the meaning of each code/symbol.
  2. Breaking down the given expression into smaller segments.
  3. Decoding each segment to identify the relationship and gender (if possible) of the individuals involved.
  4. Combining the relationships deduced from each segment to build a complete family tree or relationship chart.
  5. Using the chart to answer the specific question asked or evaluate given statements.

It is crucial to pay close attention to the gender implications of each code and to avoid making assumptions about gender unless explicitly stated or implied by the relationship (e.g., 'husband' implies male, 'wife' implies female, 'mother' implies female, 'son' implies male; 'parent' or 'child' might not specify gender without more context).

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Similar Questions

  1. 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?

  2. ‘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?

  3. 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?
  4. 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?
  5. ‘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?
  6. 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?
  7. A + B means ‘A is the sister of B’;

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

    A × B means ‘A is the son of B’;

    A ÷ B means ‘A is the Wife of B’

    If, E ÷ F - H + J ÷ G × D, then how is E related to G?
  8. ‘A + B’ means ‘A is the daughter 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 mother of B’.

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

    If ‘W @ S % K $ G & U & T @ R + C’, then which of the following statements is correct?

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

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

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

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

    If P – K × Y – J ÷ S + R, then which of the following statements is NOT correct?
  10. ‘A # B’ means ‘A is the sister of B’;

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

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

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

    Which of the following options means ‘J is the father 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. 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’?

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

    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’.

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

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