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.
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Question: The midpoint of segment \(\overline { PQ } \) is F , and the length of \(\overline { FQ } \) is \(3m\). What is the length of \(\overline { PQ } \) in terms of \( m\) ?
(A)\(\frac { 3 } { 2 } m\) (B)\(3m\) (C)\(4m\) (D)\(\frac { 9 } { 2 } m\) (E)\(6m\)

Answer: E


Question: 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

Answer: C


Question: If \(d\) is the length of a diagonal of a square, what does \(d^2\) represent?
(A)the area of the square (B)twice the area of the square (C)\(\frac { 1 } { 2 } \) the area of the square (D)4 times the area of the square (E)\(\frac { 1 } { 4 } \) the area of the square

Answer:
B