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.
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Question: Question: A train 125 m long passes a man, running at 10 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?

 Option A: 37 km/hr

 Option B: 50 km/hr

 Option C: 36 km/hr

 Option D: 26 km/hr

 Option E: 55 km/hr

Answer: Option E


Question: Question: If x, y, and z are positive integers such that x is a factor of y and y is a factor of z, which of the following is NOT necessarily an integer?

 Option A: (x + y

 Option B: (y + z

 Option C: yz/x

 Option D: (2y + 3z

 Option E: (xy + z

Answer: Option A


Question: Question: A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?

 Option A: 266

 Option B: 350

 Option C: 327

 Option D: 267

 Option E: 256

Answer:
Option B