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.

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

 Option A: 2.5 sec

 Option B: 2.9 sec

 Option C: 3.5 sec

 Option D: 7.5 sec

 Option E: 5 sec

A: Option E
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Q: Question: If x and y are negative integers, which of the following statements must be true?
I. (-x)^y is positive.
II. (-x)^(-y) is positive.
III. x^(-y) is positive.

 Option A: None

 Option B: II only

 Option C: I and II

 Option D: I and III

 Option E: I, II and III

A: Option C
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Q: Question: A department of eleven people - five men and six women - needs to send a team of five to a conference. If they want to make sure that there are no more than three members of the team from any one gender, how many distinct groups are possible to send?

 Option A: 250

 Option B: 270

 Option C: 300

 Option D: 320

 Option E: 350

A:
Option E
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