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: The bankerâ€™s discount on Rs. 1600 at 10% per annum is the same as true discount on Rs. 1680 for the same time and at the same rate. The time is :

 Option A: 2 months

 Option B: 4 months

 Option C: 6 months

 Option D: 7 months

 Option E: None

Output: Option C


Input: Consider Input: Question: A board of length L feet is cut into two pieces such that the length of piece A is 4 feet less than three times the length of piece B. Which of the following is the length, in feet, of piece A?

 Option A: (L+4

 Option B: (L-4

 Option C: (3L-4

 Option D: (3L-1

 Option E: (3L+4

Output: Option C


Input: Consider Input: Question: A train passes a platform in 30 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is

 Option A: 150 meter

 Option B: 240 meter

 Option C: 200 meter

 Option D: 260 meter

 Option E: None of these


Output: Option A