instruction:
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.
question:
Let the lengths of the sides of a triangle be represented by \(x + 3\), \(2x - 3\), and \(3x - 5\). If the perimeter of the triangle is 25, what is the length of the shortest side?
(A)5 (B)7 (C)8 (D)10 (E)It cannot be determined from the information given
answer:
B


question:
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
answer:
B


question:
A rectangular box is 24 inches long, 10 inches wide, and 15 inches high. If exactly 60 smaller identical rectangular boxes can be stored perfectly in this larger box, which of the following could be the dimensions, in inches, of these smaller boxes?
(A)\(2 \times 5 \times 6\) (B)\(3 \times 4 \times 6\) (C)\(3 \times 5 \times 6\) (D)\(4 \times 5 \times 6\) (E)\(5 \times 6 \times 12\)
answer:

A


