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.

[Q]: Question: A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate of 8 miles per day and it will take them two days, how many miles long is the route down the mountain?

 Option A: 18

 Option B: 20

 Option C: 22

 Option D: 24

 Option E: 25
[A]: Option D


[Q]: 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
[A]: Option E


[Q]: Question: The area of a parallelogram is 72sq m and its altitude is twice the corresponding base. Then the length of the base is?

 Option A: 6

 Option B: 9

 Option C: 7

 Option D: 62

 Option E: 2
[A]:
Option A