Step 1: Understanding the Question:
This problem belongs to the topic of Blood Relations, which is a staple in most management entrance exams. The question uses a descriptive narrative to link two individuals, X and Y. To solve this, we must navigate through generational layers. The core of the problem lies in deciphering "the son of Y's son" and then determining how the subject (X) fits into that specific branch of the family tree.
Step 2: Key Formulas and approach:
The most effective approach for Blood Relation problems is "Backward Decoding" or "Generational Mapping." We break down the statement from the end towards the beginning. We can also use a family tree diagram:
1. Identify Y.
2. Move down one generation for "Y's son."
3. Move down a second generation for "the son of (Y's son)."
4. Identify siblings (like "brother") within the same generational level.
5. Determine the final link between the starting point (Y) and the end point (X).
Step 3: Detailed Explanation:
Let us look at the phrase "Y's son." This person represents the first generation below Y. Let's call this person S1.
Now, look at the next part: "the son of S1." The son of Y's son is the child of S1. This person is two generations below Y. Let's call this person S2. Since S2 is the son of Y's son, S2 is Y's grandson.
The problem states: "X is the brother of S2."
If X is the brother of S2, they both share the same parents (S1 and his spouse). This means X and S2 are in the same generational level.
Since S2 is the grandson of Y, and X is S2's brother, X must also be the grandson of Y.
In a family tree, Y is at the top (Grandparent level), S1 is in the middle (Parent level), and X and S2 are at the bottom (Grandchild level).
The direct male-line descendant two generations removed is always referred to as a grandson.
Step 4: Final Answer:
X is the grandson of Y.