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: There are n arithmetic means between 3 and 45 such that the sum of these arithmetic means is 552. find the value of n.

 Option A: 11

 Option B: 15

 Option C: 17

 Option D: 21

 Option E: 23

Answer: Option E


Question: Question: A and B together can do a work in 3 days. If A alone can do it in 12 days. In how many days can B alone do it?

 Option A: 4

 Option B: 6

 Option C: 8

 Option D: 10

 Option E: 25

Answer: Option A


Question: Question: 70 percent of the members of a study group are women, and 40 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?

 Option A: 0.28

 Option B: 0.27

 Option C: 0.25

 Option D: 0.32

 Option E: 0.35

Answer:
Option A