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.

In a display consisting of one row of coins, there are an equal number of silver and gold coins. Which of the following must be true?
(A)The first coin and the last coin are different types. (B)There are two adjacent gold coins in a row. (C)There are two adjacent silver coins in a row. (D)If there are two adjacent silver coins, there are also two adjacent gold coins. (E)If the last two coins are gold, there are at least two adjacent silver coins.
E

If A is 25 kilometers east of B, which is 12 kilometers south of C, which is 9 kilometers west of D, how far, in kilometers, is A from D?
(A)20 (B)\(5\sqrt { 34 } \) (C)\(5\sqrt { 41 } \) (D)\(10\sqrt { 13 } \) (E)1
A

The estate of a wealthy man was distributed as follows: 10\% to his wife, 5\% divided equally among his three children, 5\% divided equally among his five grandchildren, and the balance to a charitable trust. If the trust received \$1,000,000, how much did each grandchild inherit?
(A)\$10,000 (B)\$12,500 (C)\$20,000 (D)\$62,500 (E)\$100,000

B

