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: Container A and container B are right circular cylinders. Container A has a radius of 4 inches and a height of 5 inches while container B has a radius of 2 inches and a height of 10 inches. Sarah pours equal amounts of oil into both containers and finds that the height of the oil in container A is 2 inches. What is the height of the oil in container B ?
(A)8 inches (B)8.5 inches (C)9 inches (D)9.5 inches (E)10 inches

Answer: A


Question: If a, b, and x are positive integers and \(\triangle(a,x,b)\) is defined as the number of possible different triangles with sides of lengths a, b, and x, what is the value of \(\triangle(2,x,7)\)?
(A)2 (B)3 (C)4 (D)5 (E)6

Answer: B


Question: Three lines, \(\ell_1\), \(\ell_2\) and \(\ell_3\), intersect as shown. What is the value of \(m\) ?
(A)115 (B)120 (C)125 (D)130 (E)145

Answer:
B