instruction:
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.
question:
Question: Twelve participants are participating in a competition. In how many ways can the first three prizes be won?

 Option A: 1320

 Option B: 680

 Option C: 820

 Option D: 720

 Option E: 620
answer:
Option A


question:
Question: By how much is three-fifth of 370 greater than four-seventh of 210 ?

 Option A: 90

 Option B: 100

 Option C: 110

 Option D: 120

 Option E: 102
answer:
Option E


question:
Question: Working alone at its constant rate, machine K took 3 hours to produce 1/8 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?

 Option A: 9.6

 Option B: 12.4

 Option C: 16.2

 Option D: 18.3

 Option E: 21.5
answer:

Option A