You are given a mathematical question described with an open-ended vocabulary. Questions in this task involve real-world situations, describing a mathematical problem. 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. Give only one answer for each question.
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Question: The value of 10 pounds of gold is \(d\) dollars and a pound of gold has the same value as \(p\) pounds of silver. what is the value in dollars, of one pound of silver?
(A)\(\frac { \sqrt { d } } { 10p } \) (B)\(\frac { \sqrt { 10p } } { d } \) (C)\(\frac { \sqrt { dp } } { 10 } \) (D)\(\frac { \sqrt { p } } { 10d } \) (E)\(\frac { \sqrt { 10d } } { p } \)

Answer: A


Question: At a basketball tournament involving 8 teams, each team played 4 games with each of the other teams. How many games were played at this tournament?
(A)64 (B)98 (C)112 (D)128 (E)224

Answer: C


Question: At a certain school, if the ratio of teachers to students is 1 to 10, which of the following could be the total number of teachers and students?
(A)100 (B)121 (C)144 (D)222 (E)1,011

Answer:
B