You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

[Q]: Question: Simplify: 250 x 250 - 100 x 100

Option A: 761200

Option B: 761400

Option C: 52500

Option D: 761500

Option E: None of them
[A]: Option C

[Q]: Question: If the average (arithmetic mean) of five consecutive negative integers is 8k 1, what is the difference between the greatest and least of the five integers?

Option A: 4K

Option B: 4k^2 -4k

Option C: 4-4k

Option D: 4

Option E: 4k+4
[A]: Option D

[Q]: Question: MachineA produces 40% of the total output and Machine-B produces 60% of the total output. An average of nine units out of a thousand goods manufactured by Machine-A and one unit of 100 units produced by Machine-B prove to be defective. What is the probability that a unit chosen at random from the total daily output of the factory is defective?

Option A: a. 0.96

Option B: b. 0.096

Option C: c. 0.0096

Option D: d. 0.00096

Option E: e. 0.000096
[A]:
Option C