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: The LCM of two numbers is 2310 and HCF is 26. If one of the numbers is 210. Then what is the other number ?

 Option A: 715

 Option B: 825

 Option C: 286

 Option D: 582

 Option E: 465

A: Option C
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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: There are 14 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played?

 Option A: 91

 Option B: 30

 Option C: 45

 Option D: 60

 Option E: 90

A:
Option A
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