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.

Input: Consider Input: Question: A car traveled 75% of the way from Town A to Town B at an average speed of 75 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?

 Option A: 30

 Option B: 35

 Option C: 25

 Option D: 40

 Option E: 45

Output: Option C


Input: Consider Input: Question: A number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. Such a least possible number N is

 Option A: 74

 Option B: N=75

 Option C: N=175

 Option D: N=680

 Option E: 690

Output: Option B


Input: Consider Input: Question: A number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z. What is the greatest two digit prime saturated integer ?

 Option A: 99

 Option B: 98

 Option C: 97

 Option D: 96

 Option E: 95


Output: Option D