instruction:
You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. 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.
question:
Which of the following has the same area as a circle with an area of \(16\pi\)?
(A)A circle with a radius of \(4\pi\) (B)A circle with a circumference of \(32\pi\) (C)A circle with a radius of 8 (D)A circle with a diameter of 4 (E)A circle with a circumference of \(8\pi\)
answer:
E


question:
A certain flag has a length that is 2 times its width. What is the width of a flag that has an area of 100?
(A)5 (B)\(5\sqrt { 2 } \) (C)10 (D)\(10\sqrt { 2 } \) (E)20
answer:
B


question:
A 1,000 square meter parcel of land is bought for \$300,000 and then divided into five equally sized plots. The first four plots are then sold at a price of \$320 per square meter. If the overall profit is to be at least 20\%, what is the minimum selling price of the fifth plot?
(A)\$64,000 (B)\$68,000 (C)\$80,000 (D)\$96,000 (E)\$104,000
answer:

E