This question asks us to determine the relationship between Vinita and Sumit based on a series of statements about blood relations. Let's break down the information provided step by step.

Analyzing the Blood Relation Statement

Anuj makes a statement about Sumit: “He is my mother’s father’s son’s brother’s son”.

Let's decode this phrase from Anuj's perspective:

• "My mother" refers to Anuj's mother.
• "My mother’s father" refers to Anuj's maternal grandfather.
• "My mother’s father’s son" refers to the son of Anuj's maternal grandfather. This person could be Anuj's mother's brother (Anuj's maternal uncle) or potentially Anuj's mother herself (if the grandfather had only one child who is Anuj's mother). However, the phrase continues, suggesting there is a brother involved later.
• "My mother’s father’s son’s brother" refers to the brother of the person identified in the previous step. If "My mother's father's son" was Anuj's maternal uncle, then his brother would be another maternal uncle or perhaps Anuj's mother (if the uncle had a sister who is Anuj's mother). If "My mother's father's son" was Anuj's mother, then her brother is Anuj's maternal uncle. Considering the entire statement, it is most likely referring to male relatives in the line. So, "My mother's father's son" is Anuj's maternal uncle. Then "My mother's father's son's brother" would be another brother of Anuj's mother, i.e., another maternal uncle.
• "My mother’s father’s son’s brother’s son" refers to the son of the person identified in the previous step (Anuj's maternal uncle).

So, based on the statement, Sumit is the son of Anuj's maternal uncle.

This means Sumit is Anuj's cousin (specifically, a son of his mother's brother).

Connecting Vinita to the Relationship

We are also told that "Vinita who is married to Kartik, is the mother of Anuj".

This establishes that Vinita is Anuj's mother.

Determining the Relationship between Vinita and Sumit

We know:

• Vinita is Anuj's mother.
• Sumit is the son of Anuj's maternal uncle.
• Anuj's maternal uncle is the brother of Anuj's mother.

Therefore, Anuj's maternal uncle is the brother of Vinita.

Sumit is the son of Vinita's brother.

How is Vinita related to Sumit? Vinita is the sister of Sumit's father (since Sumit's father is Vinita's brother).

Thus, Vinita is Sumit's father's sister.

Verifying the Options

Let's check the given options:

• Father's sister: This matches our conclusion.
• Sister: Vinita is not Sumit's sister.
• Mother: Vinita is not Sumit's mother.
• Mother's sister: Vinita is Sumit's father's sister, not his mother's sister.

The relationship "Father's sister" correctly describes how Vinita is related to Sumit.

Conclusion

By carefully breaking down the blood relation statement and using the additional information about Vinita being Anuj's mother, we determined that Sumit is the son of Vinita's brother. Therefore, Vinita is Sumit's father's sister.

Revision Table: Key Relationships

Additional Information: Blood Relation Concepts

Blood relation questions test your ability to decode complex relationship descriptions. Here are some key concepts and tips:

• Start from the speaker: Always begin analyzing the statement from the perspective of the person speaking (Anuj in this case).
• Break down the statement: Decode the statement piece by piece, working backward or forward depending on the structure. For example, "A's father's son" is A's brother or A himself. "A's mother's brother" is A's maternal uncle.
• Use diagrams: For more complex relations, drawing a family tree diagram can be very helpful to visualize the connections between individuals. Represent males with squares and females with circles, and use lines to show relationships (e.g., vertical for parent-child, horizontal for siblings, double horizontal for marriage).
• Identify key relationships: Understand terms like paternal (father's side) and maternal (mother's side) relatives.
• Common relationships: Be familiar with terms like uncle, aunt, cousin, nephew, niece, grandfather, grandmother, etc., and their definitions.

Practice with different types of blood relation puzzles will improve your speed and accuracy in solving these questions.