Williams High School is closing and its best teachers may be transferred to either to two other schools. Allendale Academy and Fleetwood High. The transferable teachers are four women (Ms. Flint, Ms. James, Ms. Chang, and Ms. Heckels) and four men (Mr. Barson, Mr. Davis, Mr. Gardia, and Mr. Peters). At least seven of the eight teachers must be placed in a new school. Ms. James and Mr. Peters work as partners and must be assigned to the same school. Mr. Barson and Mr. Davis are both drama teachers; neither of the new school needs more than one drama teacher. Mr. Barson and Ms. Flint5 are married and must be placed in the same school. Each of the school must receive at least one new teacher.
Suppose we know that Mr. Davis is transferred to one of the two schools, and that only Mr. Barson and one other teacher are assigned to Allendale. Which of the following must be transferred to Fleetwood?
A. Ms. Heckels, Mr. peters, Mr. Davis, but not Ms. Chang.
B. Ms. James, Mr. Davis, Mr. Peters, and at least two others.
C. Mr. Davis, Ms. James, Mr. Peters, Ms. Chang, but not Ms. Heckels.
D. Mr. Davis, Ms. Chang, Ms. Heckels, Mr. peters
E. Ms. Chang, Mr. Davis, Ms. Heckels, and at least two others.
And for this question, we may create a chart Allendale Fleetwood B_ _ _ _ _ (_)D Since F must go with B, and since D must be stored, we have: Allendale Fleetwood BF D_ _ _ _ _ (_) Since J and P go together and neither of them going to Fleetwood woukd man less than seven transfers, we have: Allendale Fleetwood
BF DJP _ _ (_). The correct answer is (B)
Which of the following could be the entire list of teachers assigned to Allendale?
A. Ms. Chang, Mr. peters, Ms. Flint, Mr. Davis, Ms. James, Mr. Garcia.
B. Mr. Davis, Mr. Garcia, Mr. Peters, Ms. Chang, Mr. Barson.
C. Ms. Flint, Mr. Peters, Mr. Garcia, Mr. Barson.
D. Ms. Chang, Mr. Barson, Ms. Heckels, Ms. Flint, Mr. Garcia
E. Mr. Barson, Ms. Chang, Ms.Flint, Ms. James.
Since Ms. James and Mr. Peters must be assigned together, (B), (C) and (E) are impossible, Since choice (A) does not assign Mr. Barson and Ms, Flint to the same school, the only valid choice is (D). The answer is (D).
If the only male teacher assigned to Allendale is Mr. Davis, which of the following must be true?
A. No more than five teachers are assigned to Fleetwood.
B. At least three of the male teachers are assigned positions.
C. Exactly two teachers are assigned to Allendale.
D. Each school is assigned two of the female teachers.
E. All of the female teachers are assigned positions.
From the conditions, we can make the following notes: JP BD BF At least 7 transferred Each school gets at least 1 For this question we may set up a chart, showing that Mr. Davis goes to Allendale: Allendale Fleetwood D Since Mr. Davis is the only male teacher assigned to Allendale, the male teachers who must be assigned in pairs must all go to Fleetwood (since seven teachers must be assigned, neither of the pairs may be let out); Allendale Fleetwood D J, P, B, F Thus at least three of the male teachers are assigned: Mr. Davis, Mr. Peters and Mr. Barson. The correct answer is (B).
If Fred is scheduled o Tuesday at 3 p.m., which of the following statement must be true?
A. Adam can be schedule on Tuesday
B. Brooke can be scheduled at 4 p.m. on Sunday
C. Carina can be scheduled on Sunday.
D. David can be scheduled on Tuesday.
E. Elizabeth must be scheduled on Tuesday at 4 p.m.
If Fred is scheduled for Tuesday at 3p.m. this gives us: BE SUN MON TUES F F 3p.m. A 4p.m. Since B will be taking one of the Sunday lessons, C and D must both be scheduled on Monday. BE SUN MON TUES F 3p.m. C/D F A 4p.m. C/D That puts E in the Tuesday at the 4p.m. slot SUN MON TUES F 3p.m. C/D F A 4p.m. C/D F This now means that A must be on Sunday at 4p.m., and must be on Sunday at 3p.m. The correct answer is (E).
If Elizabeth lesson is at 3 p.m. on Tuesday, who must be scheduled for 4 p.m. on the same day?
A. Adam
B. Brooke
C. Carina
D. David
E. Fred
From the question, we get BE SUN MON TUES E
F3p.m.
A4p.m.
CD on the same day Therefore C and D must have their lessons on Monday as this is the only day open for two lessons. (Remember, B is taking one of the Sunday lessons). Since F can only have a 3.p.m. lesson, this leaves A for the Tuesday 4.p.m. lesson. BE SUN MON TUES
3p.m. F C/D E 4p.m. B C/D A So Adam is the only one who can be scheduled for 4p.m. on Tuesday. The correct answer is (A).
