Deepak introduces Raju saying, "He is the husband of the granddaughter of the father of my father." How is Raju related to Deepak?

Introduction / Context:

This blood-relation question uses a multi-step generational chain: "granddaughter of the father of my father". You must decode this description, find out who that granddaughter can be, and then determine the relationship between Deepak and Raju, who is her husband. These questions test your comfort with grandparent relationships and in-law terminology.

Given Data / Assumptions:

• Deepak is speaking.
• He says about Raju: "He is the husband of the granddaughter of the father of my father."
• "The father of my father" is Deepak's grandfather.
• "The granddaughter of my grandfather" is a female grandchild of Deepak's grandfather.
• That granddaughter can be Deepak's sister or his female cousin (a daughter of another child of the grandfather).
• Raju is the husband of that granddaughter.
• We must describe Raju's relationship to Deepak.

Concept / Approach:

The granddaughter of Deepak's grandfather is a female in Deepak's own generation—either his sister or his cousin. The husband of one's sister is called a brother-in-law. In many exam questions and in everyday speech, the husband of a female cousin can also be treated as a brother-in-law in an extended sense. Therefore, the most appropriate term for Raju, from Deepak's perspective, is brother-in-law.

Step-by-Step Solution:

Step 1: Identify "the father of my father". For Deepak, this person is his paternal grandfather. Call him G. Step 2: "The granddaughter of G" is any female grandchild of G. This includes: • Deepak's sisters (daughters of Deepak's father), and • Female cousins who are daughters of G's other children. Step 3: So the girl in question is in the same generation as Deepak: she is either his sister or his female cousin. Step 4: Raju is "the husband of the granddaughter". Therefore, Raju is married to Deepak's sister or cousin. Step 5: The husband of one's sister is clearly a brother-in-law. In many reasoning contexts, the husband of a female cousin is also treated as a brother-in-law or cousin's husband under the same broad label. Step 6: Hence, from Deepak's perspective, Raju is best described as his brother-in-law.

Verification / Alternative check:

Consider two cases:

• Case 1: The granddaughter is Deepak's sister. Then G is also her grandfather, and she is a daughter of Deepak's father. If Raju is her husband, he is Deepak's sister's husband, i.e., Deepak's brother-in-law.
• Case 2: The granddaughter is Deepak's cousin. Then she is the daughter of Deepak's uncle or aunt (another child of G). If Raju is her husband, he is Deepak's cousin's husband. Many exam patterns and common usage allow describing him as a brother-in-law in the broad extended-family sense.

In both cases, "brother-in-law" is the closest and standard answer among the provided options.

Why Other Options Are Wrong:

Raju is not likely to be Deepak's son-in-law, because the granddaughter described is one generation above Deepak's daughter, not his daughter herself.

He is not Deepak's son; no information suggests that Deepak is in an older generation than the granddaughter.

He is not Deepak's brother by birth; the relationship is clearly formed through marriage and the phrasing "husband of ..." rather than sharing parents with Deepak.

Common Pitfalls:

Many students get confused by the phrase "father of my father" and mistakenly treat the granddaughter as Deepak's daughter, but that would make her a great-granddaughter of the grandfather, not a granddaughter. Remember: • Child of my father → my sibling. • Child of my sibling → my niece or nephew. • Granddaughter of my grandfather → my sister or cousin (same generation). Keeping these generational distinctions clear is key to avoiding errors.

Final Answer:

Raju is Deepak's brother-in-law.