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.

Q: If the surface area of a cube is \(150x^2\), what is the volume of the cube?
(A)\(8x^3\) (B)\(27x^3\) (C)\(64x^3\) (D)\(125x^3\) (E)\(150x^3\)

A: D
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Q: 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

A: B
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Q: The length and width of a certain rectangle are both decreased by 50 percent. If the length and width of the new rectangle are then increased by 40 percent, the area of resulting rectangle is what percent less than the area of the original rectangle?
(A)10\% (B)45\% (C)49\% (D)51\% (E)90\%

A:
D
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