Questions 3-8

　　On each day of the Monday through Friday workweek，

　　exactly two of three employees-George， Hilda， and

　　Irene-must remain on duty in the office to answer tele-

　　phones during the noon to 1 p.m. lunch break. In the

　　scheduling of telephone duty the following constraints

　　must be met：

　　Hilda and Irene have telephone duty together on

　　Tuesday.

　　George and Hilda have telephone duty together on

　　Thursday.

　　No one can have telephone duty on more than four of the

　　five days of the week.

　　3.Which of the following can be the week's telephone

　　duty schedule？

　　Monday Tuesday Wednesday Thursday Friday

　　（A） George  George  Hilda  George  Hilda

　　Hilda  Irene Irene  Hilda  Irene

　　（B） George  Hilda George  Hilda  George

　　Hilda   Irene Hilda  Irene  Irene

　　（C） George  Hilda George  George  George

　　Irene  Irene Hilda  Hilda  Hilda

　　（D） Hilda   Hilda George George  Hilda

　　Irene  Irene Hilda Hilda  Irene

　　（E） Hilda  Hilda George George  George

　　Irene  Irene Hilda Irene  Irene

　　4.If Hilda has telephone duty for exactly two days of

　　the week， which of the following must be true？

　　（A）George and Irene have telephone duty together

　　on Wednesday.

　　（B）George and Hilda have telephone duty together

　　on Friday.

　　（C）Hilda and Irene have telephone duty together on

　　Wednesday.

　　（D）Hilda and Irene have telephone duty together on

　　Friday.

　　（E）Irene has telephone duty for exactly three days

　　of the week.

　　5.If Hilda and Irene have telephone duty together on

　　Monday and on Wednesday， which of the following

　　must be true？

　　（A）George and Hilda have telephone duty together

　　on Friday.

　　（B）George and Irene have telephone duty together

　　on Friday.

　　（C）George has telephone duty on exactly three of

　　the days of the week.

　　（D）Hilda has telephone duty on exactly three of the

　　days of the week.

　　（E）Irene has telephone duty on exactly three of the

　　days of the week.

　　6.If George and Hilda have telephone duty together on

　　Monday and George and Irene have telephone duty

　　together on Friday， any of the following can be true

　　EXCEPT：

　　（A）George and Hilda have telephone duty together

　　on Wednesday.

　　（B）George and Irene have telephone duty together

　　on Wednesday.

　　（C）George has telephone duty for four days of the

　　week.

　　（D）Irene has telephone duty for four days of the

　　week.

　　（E）Hilda and Irene have telephone duty together for

　　two days of the week.

　　7.If there is one pair of employees who have telephone

　　duty together for three of the five days， which of the

　　following must be true？

　　（A）George has telephone duty on Wednesday.

　　（B）George and Hilda have telephone duty together

　　for three days of the week.

　　（C）Hilda and Irene have telephone duty together for

　　three days of the week.

　　（D）One of the three employees has telephone duty

　　for exactly two days of the week.

　　（E）Exactly one of the workers has telephone duty

　　for exactly three days of the week.

　　8.Any of the following can be true EXCEPT：

　　（A）One pair of employees has telephone duty

　　together for exactly one day of the week

　　（B）One pair of employees has telephone duty

　　together for exactly four days of the week

　　（C）The pair of employees that has telephone duty

　　together on Monday also has telephone duty

　　together on Wednesday

　　（D）The pair of employees that has telephone duty

　　together on Tuesday also has telephone duty

　　together on Wednesday

　　（E）The pair of employees that has telephone duty

　　together on Thursday also has telephone duty

　　together on Friday