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]: 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


[Q]: Every year the population of Northville is \(\frac { 3 } { 4 } \) of what it was 10 years earlier. If there are currently 800 people living in Northville, how many people will live there in 20 years?
(A)10 (B)200 (C)400 (D)450 (E)600
[A]: D


[Q]: Jeweler A can set an average round-cut diamond in 20 minutes. Jeweler B requires 15 minutes to set the same type of diamond. In 8 hours, how many more diamonds can be set by Jeweler B than by Jeweler A?
(A)40 (B)24 (C)16 (D)8 (E)1
[A]:
D