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: Two trains, each 100 m long, moving in opposite directions, cross other in 6 sec. If one is moving twice as fast the other, then the speed of the faster train is?

 Option A: 80 km/hr

 Option B: 66 km/hr

 Option C: 60 km/hr

 Option D: 67 km/hr

 Option E: 22 km/hr

Output: Option A


Input: Consider Input: Question: In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?

 Option A: 200

 Option B: 210

 Option C: 90

 Option D: 250

 Option E: 270

Output: Option C


Input: Consider Input: Question: The number of ways in which six boys and six girls can be seated in a row for a photograph so that no two girls sit together is?

 Option A: 6! * 7P7

 Option B: 6! * 7P6

 Option C: 6! * 7P1

 Option D: 6! * 7P5

 Option E: 6! * 7P2


Output: Option B