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: A car during its journey travels 30 minutes at a speed of 60 kmph, another 45 minutes at a speed of 80 kmph, and 1 hours at a speed of 70 kmph.The average speed of the car is

 Option A: 63.07 kmph

 Option B: 64 kmph

 Option C: 75 kmph

 Option D: 80 kmph

 Option E: None of these

SOLUTION: Option D

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: Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?

 Option A: 5 : 7 : 8

 Option B: 20 : 49 : 64

 Option C: 38 : 28 : 21

 Option D: 3:7:9

 Option E: None of these

SOLUTION:
Option B