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: If N = 2^0.1 and N^b = 16, b must equal

 Option A: 3/80

 Option B: 3/5

 Option C: 40

 Option D: 5/3

 Option E: 80/3

Answer: Option C


Question: Question: Find the number of ways of arranging the letters of the word "MATERIAL" such that all the vowels in the word are to come together?

 Option A: 1887 ways

 Option B: 1440 ways

 Option C: 1657 ways

 Option D: 1652 ways

 Option E: 6745 ways

Answer: Option B


Question: Question: How many terms are in the G.P. 3, 6, 12, 24, ......., 3072 ?

 Option A: 8

 Option B: 9

 Option C: 11

 Option D: 5

 Option E: 2

Answer:
Option C