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: In what time will a train 200 m long cross an electric pole, it its speed be 144 km/hr?

 Option A: 2 sec

 Option B: 2.7 sec

 Option C: 3.5 sec

 Option D: 5 sec

 Option E: 9.5 sec

Output: Option D


Input: Consider Input: Question: If x is to be chosen at random from the set {1, 2, 3} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?

 Option A:  1/6

 Option B:  1/3

 Option C:  1/2

 Option D:  2/3

 Option E:  5/6

Output: Option E


Input: Consider Input: Question: 7 does not occur in 1000. So we have to count the number of times it appears between 1 and 999. Any number between 1 and 999 can be expressed in the form of xyz where 0 < x, y, z < 9.

 Option A: 200

 Option B: 300

 Option C: 400

 Option D: 500

 Option E: 470


Output: Option B