instruction:
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.
question:
In a certain neighborhood, the number of cats is inversely proportional to the number of dogs. At one point, there were 10 cats and 50 dogs in the neighborhood. If today there are 20 dogs in the neighborhood, how many cats are in the neighborhood?
(A)4 (B)8 (C)15 (D)20 (E)25
answer:
E


question:
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
answer:
B


question:
When a digital clock reads 3:47, the sum of the digits is 14. How many minutes after 3:47 will the sum of the digits be 20 for the first time?
(A)42 (B)132 (C)192 (D)251 (E)301
answer:

C