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.
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Question: Question: What sum of money will produce Rs.70 as simple interest in 4 years at 3 1/2 percent?

 Option A: 266

 Option B: 500

 Option C: 287

 Option D: 26

 Option E: 281

Answer: Option B


Question: Question: If x is an integer such that 5 < x < 21, 7 < x < 18, 13 > x > 2, 12 > x > 9, and x + 1 < 13, then x is

 Option A: 3

 Option B: 5

 Option C: 7

 Option D: 9

 Option E: 11

Answer: Option E


Question: Question: Machine–X produces 50% of the total output and Machine-Y produces 75% of the total output. An average of 13 units out of a thousand goods manufactured by Machine-X and 4 unit of 500 units produced by Machine-X 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: 0.19

 Option B: 0.16

 Option C: 0.1

 Option D: 0.05

 Option E: 0.01

Answer:
Option E