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.

[Q]: A number of people boarded a bus at the terminal. At the first stop, half of the passengers got off and 1 got on. At the second stop, \(\frac { 1 } { 3 } \) of the passengers on the bus got off and 1 got on. If the bus then had 15 passengers, how many were there when the bus left the terminal?
(A)40 (B)48 (C)58 (D)60 (E)62
[A]: A


[Q]: Some boys and girls were having a car wash to raise money for a class trip. Initially, \(\frac { 2 } { 5 } \) of the group were girls. Shortly thereafter two girls left and two boys entered, then \(\frac { 1 } { 3 } \) of the group are girls. How many girls were initially in the group?
(A)8 (B)10 (C)12 (D)14 (E)20
[A]: C


[Q]: Lisa sometimes works on Saturday. Michael always cooks dinner on Tuesday. If both statements above are true, which of the following statements CANNOT be true?
(A)Lisa cooks dinner on Tuesday. (B)Michael works on Saturday. (C)Neither Lisa nor Michael cooks dinner on Tuesday. (D)Neither Lisa nor Michael worked last Saturday. (E)Both Lisa and Michael cook dinner on Tuesday.
[A]:
C