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: If x is to be chosen at random from the set {1, 2, 3} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?

 Option A:  1/6

 Option B:  1/3

 Option C:  1/2

 Option D:  2/3

 Option E:  5/6
answer:
Option E


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: If x=1/4, which expression has the greatest value?

 Option A: x^(1/3

 Option B: x^(1/2

 Option C: 1/(2x

 Option D: x/.03

 Option E: x^(-3
answer:

Option E