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: There are some pigeons and hares in a zoo. If heads are counted, there are 120. If legs are counted, there are 580. The number of hares in the zoo is?

 Option A: 20

 Option B: 82

 Option C: 190

 Option D: 137

 Option E: 170

SOLUTION: Option E

PROBLEM: Question: Which of the following is NOT a factor of 10! ?

 Option A: 1440

 Option B: 625

 Option C: 160

 Option D: 80

 Option E: 50

SOLUTION: Option B

PROBLEM: Question: Out of 9 people working on a project, 4 are graduates. If 3 people are selected at random, what is the probability that there is at least one graduate among them?

 Option A: 15/23

 Option B: 21/28

 Option C: 31/38

 Option D: 37/42

 Option E: 43/56

SOLUTION:
Option D