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:
If a square and an equilateral triangle have equal perimeters, what is the ratio of the area of the triangle to the area of the square?
(A)\(\frac { 4\sqrt { 3 } } { 9 } \) (B)\(\frac { 4 } { 9 } \) (C)\(\frac { 3 } { 4 } \) (D)\(\frac { 1 } { 1 } \) (E)\(\frac { 4 } { 3 } \)
answer:
A


question:
The measures of the angles of a triangle, in degrees, can be expressed by the ratio 4:5:6. What is the sum of the measures of the largest and smallest angles?
(A)80 (B)100 (C)120 (D)140 (E)160
answer:
C


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


