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Question

A – B means ‘A is the sister of B’;

A × B means ‘A is the husband of B’;

A ÷ B means ‘A is the son of B’.

If, Y × M – T – Z ÷ L × U, then how is U related to Y?

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

Understanding the Blood Relation Problem

This question involves decoding a set of symbols representing family relationships and then using these decoded relationships to determine how two individuals in a given expression are related.

Decoding the Relationship Symbols

Let's break down the meaning of each symbol provided:

  • A – B means 'A is the sister of B'. This indicates a sibling relationship where A is female.
  • A × B means 'A is the husband of B'. This indicates a marital relationship where A is male and B is female.
  • A ÷ B means 'A is the son of B'. This indicates a parent-child relationship where A is male and B is a parent (gender unknown from this part alone).

Analyzing the Given Expression: Y × M – T – Z ÷ L × U

Now, let's apply these rules to the expression segment by segment:

  1. Y × M: According to the rule for ×, Y is the husband of M. This tells us Y is male and M is female.
  2. M – T: According to the rule for –, M is the sister of T. We already know M is female. T's gender is not yet specified by this relationship alone.
  3. T – Z: According to the rule for –, T is the sister of Z. We now know T is female. Z's gender is not yet specified by this relationship alone.
  4. Z ÷ L: According to the rule for ÷, Z is the son of L. This tells us Z is male. L is a parent of Z, but L's gender is not yet specified.
  5. L × U: According to the rule for ×, L is the husband of U. This tells us L is male and U is female.

Building the Family Connections

Let's connect the relationships derived from the expression:

  • Y is the husband of M.
  • M is the sister of T.
  • T is the sister of Z.

From the above, M, T, and Z are siblings. M and T are female, and Z is male.

  • Z is the son of L. Since Z is a sibling of M and T, M and T are also children of L.
  • L is the husband of U. This means L and U are married and are the parents of Z, T, and M.

Since L is male and the husband of U, L is the father of Z, T, and M. Since U is female and the wife of L, U is the mother of Z, T, and M.

So, we have established the following key relationships:

  • Y is married to M.
  • U is the mother of M (as U is the mother of M's sibling Z, and L is the father).

Determining the Relationship between U and Y

We need to find out how U is related to Y. We know that U is the mother of M, and M is the wife of Y.

The mother of one's wife is their mother-in-law.

Therefore, U is the mother-in-law of Y.

Summary of Relationships

Relation Individuals Gender/Status
Husband & Wife Y × M Y (Male), M (Female)
Siblings M – T – Z M (Female), T (Female), Z (Male)
Parent & Child Z ÷ L Z (Son), L (Parent)
Husband & Wife L × U L (Male), U (Female)
Deduced Parent & Children L & U are parents of M, T, Z L (Father), U (Mother)
Key Connection U is M's mother U (Mother), M (Daughter)
Final Relation U and Y U is Y's Mother-in-law

Conclusion

Based on the step-by-step analysis of the given expression Y × M – T – Z ÷ L × U, and decoding the blood relation symbols, we find that U is the mother of M, and M is the wife of Y. Thus, U is Y's mother-in-law.

Revision Table: Blood Relation Symbols

Symbol Meaning Example (A symbol B) Implied Genders
Sister of A is the sister of B A is Female
× Husband of A is the husband of B A is Male, B is Female
÷ Son of A is the son of B A is Male

Additional Information: Solving Blood Relation Problems

Blood relation problems are common in logical reasoning sections of various exams. The key to solving them is to carefully decode the relationships given in symbolic or verbal form and then construct a clear picture of the family tree or chain of relationships. Here are some tips:

  • Read the relationship definitions carefully, paying attention to the order of individuals (A vs. B).
  • Break down the expression into smaller segments, translating each symbol individually.
  • Assign genders where indicated by the rules. Some relations only specify the gender of one person (e.g., 'sister of'), while others specify both (e.g., 'husband of').
  • Combine the segments step-by-step to build the complete set of relationships. Drawing a diagram or family tree can be very helpful, especially for complex problems.
  • Finally, trace the connection between the two individuals asked about in the question.
  • Pay close attention to terms like 'in-law' which connect relations across marriages.
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Similar Questions

  1. Pointing to the photograph of a girl, Raghav said, "She is my father's mother's daughter's only brother's daughter". How is Raghav's father related to that girl's mother?

  2. Arya's mother's husband is the brother of Meena's mother. Vansh is the brother of Meena and Kavita. Varun is the father of Arya. How is Varun related to Vansh?

  3. A – B means ‘A is the mother of B’;

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

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

    Which of the following expressions means ‘U is the daughter of Q?
  4. A + B means ‘A is the father of B’;

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

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

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

    If, U + H × L – Q ÷ R – Y, then how is L related to Y?

  5. Introducing Rajat to a guest, Ajay said, "He is the only son of my father's daughter-in law". How is Ajay related to Rajat?

  6. Pointing to a player in a stadium, Sanjana said, "He is my paternal grandmother's only son's only son-in-law's son". How is that player's father related to Sanjana?

  7. Saksham introduced Nidhi to his friend, “She is the daughter of the only son of my father’s wife.” How is Saksham related to Nidhi?

  8. Punit said to a lady, "The sister of your father's wife is my aunt". How is the lady related to Punit?

  9. Pointing to a lady, Diwakar said, "Her mother's only grandson is my son." Lady is not married. How is that lady related to Diwakar?

  10. Introducing Rukmani, Vijay said, “She is my wife’s only brother’s son’s mother.” How is Rukmani’s husband related to Vijay?


Important Questions from General Blood Relation Problems

  1. A man said to a lady, "your mother's husband's sister is my Aunt". How is lady related to the man?

  2. Sadhana introduces Ramu as “The son of the brother of her father’s wife”. How is Ramu related to Sadhana?

  3. Preeti is Harish's only daughter. Lakhan is Birendra's only son. Lakhan's sister Neeti is married to Manas. Preeti has only one brother, Manas. How is Manas related to Birendra?

  4. Introducing Asha to guests, Bhaskar said, "her father is the only son of my father". How is Asha related to Bhaskar?

  5. A is father of B. B is sister of C. C is sister of D. D is the son of E. How many women are there?

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