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Question

A + B means ‘A is the wife of B’;

A - B means ‘B is the daughter of A’;

A × B means ‘B is the brother of A’;

A ÷ B means ‘A is the father of B’;

If, P + R × T - Q + S ÷ U, then how is P related to the mother of U?

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

Aunt

Understanding Blood Relations from Coded Language

This question tests your ability to decode relationships represented by symbols and then determine the relationship between two individuals based on a given expression. We need to carefully analyze the meaning of each symbol and then build the family tree based on the expression.

Decoding the Symbols

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

  • A + B means ‘A is the wife of B’
  • A - B means ‘B is the daughter of A’
  • A × B means ‘B is the brother of A’
  • A ÷ B means ‘A is the father of B’

Analyzing the Expression: P + R × T - Q + S ÷ U

Now, let's apply these meanings to the given expression step-by-step:

  • P + R: According to the rule A + B means ‘A is the wife of B’, P + R means ‘P is the wife of R’. This tells us P is female and R is male.
  • R × T: According to the rule A × B means ‘B is the brother of A’, R × T means ‘T is the brother of R’. This tells us R and T are siblings, and T is male.
  • T - Q: According to the rule A - B means ‘B is the daughter of A’, T - Q means ‘Q is the daughter of T’. This tells us T is the parent of Q, and Q is female.
  • Q + S: According to the rule A + B means ‘A is the wife of B’, Q + S means ‘Q is the wife of S’. This tells us Q is female and S is male.
  • S ÷ U: According to the rule A ÷ B means ‘A is the father of B’, S ÷ U means ‘S is the father of U’. This tells us S is male and S is a parent of U.

Building the Family Connections

Let's consolidate the relationships we've found:

  • P is the wife of R.
  • T is the brother of R.
  • Q is the daughter of T.
  • Q is the wife of S.
  • S is the father of U.
Summary of Derived Relationships
Relationship Part Meaning Implied Gender
P + R P is wife of R P (Female), R (Male)
R × T T is brother of R R (Sibling), T (Male)
T - Q Q is daughter of T T (Parent), Q (Female)
Q + S Q is wife of S Q (Female), S (Male)
S ÷ U S is father of U S (Male), U (Child)

Identifying the "Mother of U"

From S ÷ U, we know S is the father of U. From Q + S, we know Q is the wife of S. Since S is the father and Q is the wife, Q must be the mother of U.

Determining P's Relationship to the Mother of U

We need to find out how P is related to Q (the mother of U).

  • P is the wife of R.
  • R is the brother of T.
  • T is the father of Q.

So, P is married to R, who is the brother of Q's father (T). This makes R the paternal uncle of Q. Since P is R's wife, P is the paternal aunt of Q. Q is the mother of U.

Therefore, P is the aunt of the mother of U.

Conclusion

Based on the analysis of the coded blood relations and the given expression, P is the aunt of Q, who is the mother of U. Thus, P is related to the mother of U as an Aunt.

Revision Table: Blood Relations Concepts

Key Terms in Blood Relations
Relationship Description
Father's Father Paternal Grandfather
Father's Mother Paternal Grandmother
Mother's Father Maternal Grandfather
Mother's Mother Maternal Grandmother
Father's Brother Paternal Uncle
Father's Sister Paternal Aunt
Mother's Brother Maternal Uncle
Mother's Sister Maternal Aunt
Spouse's Brother Brother-in-law
Spouse's Sister Sister-in-law
Brother's Son Nephew
Brother's Daughter Niece
Sister's Son Nephew
Sister's Daughter Niece

Additional Information: Solving Blood Relation Questions

Solving blood relation questions using coded language or complex descriptions often involves building a diagram or a family tree. Here are some tips:

  • Start with the main person whose relationship is being asked about or the person mentioned first in the expression.
  • Work through the expression segment by segment, drawing lines to connect individuals and marking their gender if determined.
  • Use symbols or notations for gender (e.g., + for male, - for female) and relationships (e.g., double line for marriage, single line for siblings, vertical line for parent-child).
  • Break down complex relations into simpler steps. For example, "father of husband's brother" can be broken down into "husband's brother" (brother-in-law) and then "father of brother-in-law" (father-in-law).
  • Be careful with possessives (e.g., "A's father" vs. "father of A").
  • Practice decoding different types of symbols and expressions.
  • Always re-read the question to ensure you are finding the relationship between the correct two individuals and the direction of the relationship (e.g., how is A related to B vs. how is B related to A).
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Similar Questions

  1. Niraj is the father of Rinku. Jiya and Tiya are the daughters of Ruby, who is the only sister of Rinku. Vishnu is the son of Rinku and Gita. How is Niraj related to Tiya?

  2. Pointing to the photograph of Sanchi, Nitin said, “Her mother’s father’s son’s wife is my mother-in-law’s only daughter”.

    How is Nitin related to Sanchi’s mother?
  3. Pointing to the photograph of a girl Akanksha, Rajeev said, “Her daughter’s father’s wife’s mother is my wife’s daughter’s mother’s mother-in-law.” How is Rajeev related to Akanksha?

  4. Arsh is Shivam’s father and Dhruv is the son of Bimla. Eshwar is the father of Arsh. If Shivam is the brother of Dhruv, how is Bhimla related to Eshwar?

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  6. P is the sister of Q and mother of R. S is the daughter-in-law of W and Wife of Q. W’s grandson M is the nephew of P and brother of V. W has only two children. How is Q related to v?

  7. 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?

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  9. 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?

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Important Questions from General Blood Relation Problems

  1. 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?

  2. Introducing a lady, Varun said, “The son of her only brother is the brother of my wife”. How is the lady related to ‘Varun?

  3. Gopi said to Vivek, "That person is the father of the only brother of my mother."

    What would Gopi call him?

  4. Vijay is the father of Sanjay’s mother. Sanjay is the son of Vijay’s only son-in-law. How is Vijay’s Son-in-law related to Sanjay?

  5. A lady said that father of Rahul’s father is my father. How is the lady related to Rahul?

    A. Mother

    B. Paternal aunt

    C. Sister

    D. Niece
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