Question 6
Simplify the following sum into $\frac{x}{y}$ such that such that x and y have no common factors. Find the value of xy.
$\frac{2025}{100\times102}+\frac{2025}{102\times104}\times\frac{2025}{106\times108}\times\cdots\times\frac{2025}{288\times300}$
Original choices: A. 135; B. 108; C. 405; D. 408.
Editorial note: The printed conditions need clarification. Discuss the issue and justify any conditional interpretation; no automatic answer is assigned.
$\frac{2025}{100\times102}+\frac{2025}{102\times104}\times\frac{2025}{106\times108}\times\cdots\times\frac{2025}{288\times300}$
Original choices: A. 135; B. 108; C. 405; D. 408.
Editorial note: The printed conditions need clarification. Discuss the issue and justify any conditional interpretation; no automatic answer is assigned.