Question

Given: \( f(x) = \left( 1 + \frac{1}{x} \right) \) and \( f(k) \times f(k+1) \times f(k+2) \times \cdots \times f(k+99) = 11 \). Quantity A: k
Quantity B: 11

• A. Quantity A is greater.
• B. Quantity B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.
• E.

Hint:

Always ensure you fully analyze the given expressions and the relationships between variables before determining a comparison.

Answer 1

The Correct Option is D

From the given information, we know the product of the terms \( f(k) \times f(k+1) \times \cdots \times f(k+99) \), but without knowing the exact value of \( k \), we cannot determine the relationship between Quantity A and Quantity B.
Thus, the correct answer is (D), as the relationship cannot be determined from the given information.