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: Two sides of a right triangle are 5 and 6. Which of the following could be the length of the third side? I. \(\sqrt { 11 } \) II. \(\sqrt { 31 } \) III. \(\sqrt { 61 } \)
(A)I only (B)III only (C)I and II only (D)I and III only (E)I, II, and III

Answer: D


Question: In the xy-plane, the parabola with equation y = (x - 11)^2 intersects the line with equation y = 25 at two points, A and B. What is the length of \overline{AB}?
(A)10 (B)12 (C)14 (D)16

Answer: A


Question: The perimeter of square A is 4 times the perimeter of square B. If the perimeter of square B is given to be 18, then what is the length of a single side of square A?
(A)4.5 (B)18 (C)22 (D)48 (E)72

Answer:
B