TASK DEFINITION: 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.
PROBLEM: 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

SOLUTION: E

PROBLEM: If seven different lines lie in a plane, what is the greatest possible number of intersections?
(A)18 (B)20 (C)21 (D)22 (E)30

SOLUTION: C

PROBLEM: In \( riangle { ABC } \), \(\overline { AB } = \overline { BC } \) and \(\overline { AB } \perp \overline { BC } \). If \(\overline { BC } = 10\), what is the area of the triangle?
(A)\(10 \sqrt { 2 } \) (B)25 (C)50 (D)\(50 \sqrt { 2 } \) (E)100

SOLUTION:
C