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: Simplify: 250 x 250 - 100 x 100

 Option A: 761200

 Option B: 761400

 Option C: 52500

 Option D: 761500

 Option E: None of them

Answer: Option C


Question: Question: A certain basketball team played seven games and scored an average of 50 points per game. If, in the team’s first five games, it scored 45, 39, 61, 50, and 43 points, what was the average (arithmetic mean) number of points scored over the last two games?

 Option A: 65

 Option B: 81

 Option C: 82

 Option D: 56

 Option E: Cannot be determined from the information given.

Answer: Option D


Question: Question: Village P’s population is 800 greater than Village Q's population. If Village Q’s population were reduced by 500 people, then Village P’s population would be 3 times as large as Village Q's population. What is Village Q's current population?

 Option A: 1100

 Option B: 1150

 Option C: 1200

 Option D: 1250

 Option E: 1300

Answer:
Option B