How many brothers does Bharat have? I. Sheila (Bharat's mother) has exactly three children in total. II. Meena (Bharat's grandmother) has only one granddaughter among all of her grandchildren.

Introduction / Context:
Data Sufficiency problems test whether given statements provide enough information to determine a specific value or fact without necessarily computing that value. Here, we must decide if we can deduce the exact number of brothers that Bharat has using two family–relation statements.

Given Data / Assumptions:

• We only use logical implications of the statements; we do not assume anything beyond common family terms.
• I: Sheila (Bharat's mother) has exactly three children in total (including Bharat).
• II: Meena (Bharat's grandmother) has only one granddaughter among all her grandchildren.

Concept / Approach:
We test sufficiency separately for each statement, then jointly. A statement is sufficient if it uniquely determines the required count (number of Bharat's brothers) under all possibilities consistent with the statement(s).

Step-by-Step Solution:

Verification / Alternative check:
Construct examples: (a) If Sheila’s other two children are both girls, then Bharat has 0 brothers; II can still be satisfied by ensuring no other granddaughters exist. (b) If she has one boy and one girl, Bharat has 1 brother; II can still hold depending on other branches. (c) If both are boys, Bharat has 2 brothers; II can hold if no other granddaughter exists elsewhere. Multiple consistent models confirm non-uniqueness.

Why Other Options Are Wrong:

• A: I alone is not sufficient (multiple possibilities remain).
• B: II alone is not sufficient (does not pin sibling genders or counts).
• C: Neither statement alone works, so “either alone” is false.
• E: Together still allow multiple family configurations, so not sufficient.

Common Pitfalls:
Do not assume only one child of Meena (there may be several). Do not assume Bharat’s siblings’ genders from II; “one granddaughter” is a global condition across all grandchildren, not confined to Sheila’s branch.

Final Answer:
Both statements together are NOT sufficient.