Question

What is the area of the shaded region consisting of \(\triangle ABE\) and \(\triangle ECD\)?

Statement (I): The area of the rectangle ABCD is 54 sq. units.
Statement (II): \(AE = 2 ED\).

• A. Statement (I) alone is sufficient.
• B. Statement (II) alone is sufficient.
• C. Both statements (I) and (II) are sufficient.
• D. Neither statement is sufficient.

Hint:

In Data Sufficiency problems, if an absolute value (like the area) is requested, check if the combined statements allow you to solve for the necessary components of the geometric formula, even if individual side lengths remain unknown.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
The task is to find the antonym (word with the opposite meaning) of "PROSPEROUS".
"Prosperous" refers to being financially successful or flourishing.


Step 2: Detailed Explanation:
Evaluating the provided options:
- (A) Affluent: Very wealthy (Synonym).
- (B) Destitute: Lacking basic life necessities; extremely impoverished (Antonym).
- (C) Thriving: Flourishing and successful (Synonym).
- (D) Opulent: Displaying great wealth or luxury (Synonym).
Therefore, 'Destitute' serves as the precise antonym for 'Prosperous'.


Step 3: Final Answer:
The correct choice is (B).