TASK DEFINITION: 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.
PROBLEM: 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

SOLUTION: Option E

PROBLEM: Question: 5 men are equal to as many women as are equal to 8 boys. All of them earn Rs.210 only. Men's wages are?

Option A: 6Rs

Option B: 2Rs

Option C: 4Rs

Option D: 9Rs

Option E: 14Rs

SOLUTION: Option E

PROBLEM: Question: If the probability of rain on any given day in Chicago during the summer is 20%, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from July 4 through July 7 inclusive?

Option A: 2/25

Option B: 3/125

Option C: 7/125

Option D: 12/625

Option E: 16/625

SOLUTION:
Option E