instruction:
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.
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: In a test, sixty percent students passed in Maths and 65% in History, 40% passed in both of these subjects. If 90 students failed in maths and history both, then what is the total number of students?

 Option A: 600

 Option B: 650

 Option C: 700

 Option D: 750

 Option E: None of these
answer:
Option A


question:
Question: Set A of 8 positive integers may have the same element and have 39. And set B of 8 positive integers must have different elements and have 39. When m and n are the greatest possible differences between 39 and other elements’ sums in set A and set B, respectively, m-n=?

 Option A: 20

 Option B: 23

 Option C: 21

 Option D: 25

 Option E: 26
answer:

Option C