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Question

There are six members, P, Q, R, S, T and U, in a family. T is the brother of P’s husband. U is the mother of T. Q is the daughter of S and P and the granddaughter of R. How is R related to T?

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
The correct answer is

Father

Solving the Blood Relation Puzzle: Finding R's Relation to T

This question asks us to determine the relationship between two members, R and T, within a family based on several given relationships among six members: P, Q, R, S, T, and U.

Let's break down the given information step by step to build the family structure:

  • <strong>T is the brother of P's husband.</strong> Let's denote P's husband as H. So, T is the brother of H. This means T and H are siblings (specifically brothers).
  • <strong>U is the mother of T.</strong> Since T and H are brothers, U is also the mother of H. Thus, U is the mother of P's husband (H).
  • <strong>Q is the daughter of S and P.</strong> This tells us that S and P are the parents of Q.

From the last two points, we know P has a husband (H) and Q is the daughter of P and S. This implies that S must be P's husband. So, H = S.

Now we can refine our understanding:

  • P is married to S.
  • Q is their daughter.
  • T is the brother of S (since T is the brother of P's husband, and S is P's husband).
  • U is the mother of T, and consequently, U is also the mother of S. So, U is P's mother-in-law.

The final piece of information is:

  • <strong>Q is the granddaughter of R.</strong> Q's parents are P and S. A granddaughter's grandparents are the parents of her parents. So, R must be a parent of either P or S.

We already know U is the mother of S. U is one of Q's grandparents (specifically, Q's paternal grandmother). Since Q is the granddaughter of R, and we've identified U as one grandparent on S's side, it is most likely that R is the other grandparent on S's side, i.e., S's father.

Let's assume R is the father of S. Based on our previous deductions:

  • U is the mother of S.
  • If R is the father of S, then R and U are the parents of S.
  • S is married to P, and Q is their daughter.
  • So, R and U are the parents of S, who is Q's father. This makes R Q's grandfather and U Q's grandmother. This aligns perfectly with the statement that Q is the granddaughter of R (and U).

We also know that T is the brother of S. If R is the father of S, then R is also the father of T (since they are brothers).

Based on this family structure, let's find the relationship between R and T:

  • R is the father of S.
  • T is the brother of S.

Therefore, R is the father of T.

Let's summarize the key relationships we've established:

Member Relationship to S Relationship to T Relationship to Q Relationship to P
S Self Brother Father Husband
P Wife Sister-in-law Mother Self
Q Daughter Niece Self Daughter
T Brother Self Uncle Brother-in-law
U Mother Mother Grandmother (Paternal) Mother-in-law
R Father Father Grandfather (Paternal) Father-in-law

From the table, we can clearly see that R is the father of T.

Comparing this with the given options:

  1. Father
  2. Son
  3. Brother
  4. Uncle

Our conclusion that R is the father of T matches option 1.

Revision Table for Blood Relation Concepts

Understanding common relationships is crucial for solving blood relation problems. Here's a quick reference:

Relationship Description
Parent Mother or Father
Child Son or Daughter
Sibling Brother or Sister
Grandparent Parent of a Parent (Grandfather or Grandmother)
Grandchild Child of a Child (Grandson or Granddaughter)
Uncle/Aunt Sibling of a Parent
Niece/Nephew Child of a Sibling
Cousin Child of an Uncle or Aunt
In-laws Relatives by marriage (e.g., Mother-in-law, Brother-in-law)

Additional Information on Solving Blood Relation Puzzles

Blood relation questions test your ability to decode relationships and construct a family tree or structure. Here are some tips:

  • Read carefully: Pay close attention to each statement and the specific relationship mentioned.
  • Use symbols: You can use symbols like a double-headed arrow \(\leftrightarrow\) for marriage, a single arrow \(\to\) for parent-child, and a hyphen \(-\) for siblings, along with gender symbols (\(\square\) for male, \(\bigcirc\) for female, or M/F).
  • Draw a diagram: Visualizing the relationships as a family tree helps significantly. Place older generations above younger ones.
  • Connect the dots: Link the different statements together using common members.
  • Work backwards or forwards: Sometimes starting from a key relationship and building outwards is easier.
  • Confirm: Once you think you have the answer, quickly read through the original statements again to see if your constructed structure is consistent with all the information given.

In this problem, identifying S as P's husband and then using the information about Q's grandparents helped connect R to the rest of the family structure through S, ultimately revealing R's relationship to T.

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Important Questions from Family Tree Problems

  1. Six members of a family namely A, B, C, D, E and F are travelling together. B is the son of C but C is not the mother of B. A and C are married couple. E is the brother of C, D is the daughter of A. F is the brother of B. How many male members are there in the family?
  2. Sunil is the son of Kesav. Simran, who is Kesav's sister, has a son Maruti and daughter Sita. Prem is the maternal uncle of Maruti. How is Sunil related to Maruti?
  3. A and B are brothers. C and D are sisters. A's son is D's brother. How is B related to C?

  4. A is B's sister. C is B's mother. D is C's father. E is D's mother. Then, how is A related to D?

  5. Shanti’s daughter Chandini is married to Abhi. Anchal is married to Sandy, the grandson of Shanti. Abhi's grandson is Karan. Rashmi is the mother of Karan. Shaurya is Anchal's son. How is Shaurya related to Karan?

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