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: The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 kms in 4 hours, then the speed of the first train is:

 Option A: 70 km/hr

 Option B: 75 km/hr

 Option C: 84 km/hr

 Option D: 87.5 km/hr

 Option E: 88.5 km/hr

SOLUTION: Option D

PROBLEM: Question: The number 46 can be written as the sum of the squares of 3 different positive integers. What is the sum of these 3 integers?

 Option A: 17

 Option B: 16

 Option C: 15

 Option D: 10

 Option E: 13

SOLUTION: Option D

PROBLEM: Question: If two distinct positive divisors of 128 are randomly selected, what is the probability that their sum will be less than 32?

 Option A: 2/5

 Option B: 3/7

 Option C: 5/14

 Option D: 11/28

 Option E: 16/35

SOLUTION:
Option C