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Question

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?

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

Mother-in-law

Analyzing Blood Relations from the Expression

This question asks us to determine the relationship between two individuals, E and G, based on a coded expression representing blood relations. We need to decode each part of the given expression step-by-step using the provided definitions.

Understanding the Blood Relation Codes

Let's first review the meaning of each symbol:

  • 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.

Decoding the Given Expression: E ÷ F - H + J ÷ G × D

We will break down the expression from left to right to establish the relationships:

  1. E ÷ F: Based on the code, this means E is the wife of F. This tells us E is female and F is male, and they are married.
  2. F - H: Based on the code, this means F is the father of H. Since E is the wife of F, H is the child of both E and F.
  3. H + J: Based on the code, this means H is the sister of J. This tells us H is female, and J is H's sibling. Since F is the father of H, F is also the father of J. Similarly, E is the mother of H, so E is also the mother of J.
  4. J ÷ G: Based on the code, this means J is the wife of G. This tells us J is female and G is male, and they are married. We already know J is the daughter of E and F.
  5. G × D: Based on the code, this means G is the son of D. This tells us G is male, and D is a parent of G. While this information relates to D, it also confirms G's gender (male), which we already deduced from J ÷ G. This part of the expression is not directly needed to find the relation between E and G, but it helps confirm G's status in the family structure.

Connecting the Relationships to Find E's Relation to G

From our decoding, we have established the following key relationships:

  • E is the mother of J.
  • J is the wife of G.

If E is the mother of J, and J is married to G, then E is the mother of G's wife. The mother of one's wife is called the mother-in-law.

Conclusion: E's Relationship to G

Therefore, E is the mother-in-law of G.

Revision Table: Summary of Relationships

Let's summarize the relationships we deduced from the expression:

Part of Expression Relationship Implication
E ÷ F E is wife of F E (Female), F (Male), Married
F - H F is father of H H is child of F and E
H + J H is sister of J H (Female), J is child of F and E
J ÷ G J is wife of G J (Female), G (Male), Married. J is daughter of E and F.
G × D G is son of D D is a parent of G.

From the table, we see that J is the daughter of E and F, and J is married to G. This confirms that E is the mother of J, who is married to G. Thus, E is G's mother-in-law.

Additional Information: Solving Blood Relation Puzzles

Blood relation questions test your ability to understand and interpret relationships within a family. When solving such puzzles, it's helpful to:

  • Break down complex expressions into smaller parts.
  • Use diagrams or family trees to visualize the relationships, especially for more complicated problems. Assign genders where possible based on the relation codes.
  • Work step-by-step, connecting each new piece of information to the existing relationships.
  • Pay close attention to the phrasing of the final question (e.g., "How is A related to B?" versus "How is B related to A?").
  • Practice with different types of coding and relationship structures.
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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 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?
  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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