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: 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
Option E

Question: Kim has 3 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?

 Option A: 2/5

 Option B: 1/5

 Option C: 1/9

 Option D: 1/10

 Option E: 1/25
Option B

Question: Solve the given two equations and find the inequality of X and Y. (a) X^2- 365 = 364 and (b) y- (324) ^(1/2) = (81)^(1/2)

 Option A: If x>y

 Option B: If x>=y

 Option C: If x < y

 Option D: If x<=y

 Option E: x=y or relationship cannot be established

Option D