Deepak said to Nitin, "That boy playing with the football is the younger of the two brothers of the daughter of my father's wife." How is the boy playing football related to Deepak?

Introduction / Context:
This question is a classic example of a slightly twisted wording around common family relations. It uses the phrase my father's wife and the daughter of that person to describe a familiar family member. The aim is to see whether you can reduce the description to simple roles like mother, sister and brother and then deduce the exact relationship with Deepak.

Given Data / Assumptions:

• Deepak is the speaker.
• My father's wife refers to the wife of Deepak's father.
• The daughter of that wife is mentioned.
• That daughter has two brothers, and the boy playing with the football is the younger one of those two brothers.
• We assume that the daughter is a direct child of both parents and that the two brothers are also Deepak's siblings.

Concept / Approach:
First interpret my father's wife. In a typical family context, the wife of a person's father is the person's mother. So the daughter of my father's wife is simply the daughter of Deepak's mother. That daughter is a sister within Deepak's family. The two brothers of that daughter are her male siblings, which will be Deepak and possibly another brother. The younger of those two brothers is still a brother of Deepak, as both belong to the same parent set. Thus, the boy playing football is Deepak's brother.

Step-by-Step Solution:
Step 1: Replace my father's wife with Deepak's mother.Step 2: The daughter of Deepak's mother is a girl in the same family, typically Deepak's sister.Step 3: She has two brothers. Those two brothers are the sons of the same mother, so they are male siblings of that girl.Step 4: Deepak is one of these brothers (since he is a son of his father's wife) and there is possibly one more brother.Step 5: The boy playing with the football is described as the younger of these two brothers, so he is one of the sons of Deepak's mother.Step 6: Therefore, he is a brother of Deepak.

Verification / Alternative check:
Construct a simple example: Let the family consist of a mother, father, a daughter and two sons. The daughter's two brothers are the sons in that family. Deepak is one son and the football playing boy is the other son. Regardless of who is older or younger, each son is a brother of the other. So even when the puzzle highlights that the boy is the younger brother, he still remains a brother of Deepak in every valid configuration.

Why Other Options Are Wrong:
Son is incorrect because nothing in the statement indicates that Deepak is a parent of the boy.Cousin would require different parents for the boy and the daughter, which contradicts the description.Nephew assumes a generation gap with Deepak as an uncle, which is not indicated.Uncle reverses the direction of the family relation.

Common Pitfalls:
Some students misinterpret my father's wife as someone other than the mother, which leads to a more complex and usually incorrect structure. Others assume that the younger brother must be in a different branch of the family. The easiest way to avoid confusion is to first identify the base nuclear family (parents and their children) and then attach descriptive terms like older or younger without changing the fundamental relations.

Final Answer:
The boy playing with the football is Deepak's Brother.