instruction:
You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge. Give only one answer for each question.
question:
Harry bought a bag of 10 pound flour for \$80, a bag of 25 pound flour for \$150 and a bag of 50 pound flour. If the average (arithmetic mean) cost of the flour in all three bags was \$6.00 per pound, what was the price of the bag of 50 pound flour?
(A)\$200.00 (B)\$237.50 (C)\$230.00 (D)\$235.50 (E)\$280.00
answer:
E


question:
Suraj solved m physics problems on Monday, three times as many physics problems on Tuesday as on Monday, and three more than twice as many physics problems on Wednesday as on Monday. What is the average (arithmetic mean) number of physics problems he solved per day over the three days?
(A)\(6m + 1\) (B)\(\frac{10}{3}m + 1\) (C)\(2m + 3\) (D)\(2m + 1\) (E)\(2m - 1\)
answer:
D


question:
Five people stand in line: three men, Denzel, Melvin, and Aneet, and two women, Janine and Susan. The order in which they stand must match the following conditions: A man is not first in line. Denzel is ahead of Janine in the line. A woman must stand fourth in line Melvin cannot stand next to Denzel. In which position does Melvin stand in the line?
(A)First (B)Second (C)Third (D)Fourth (E)Fifth
answer:

E