In country X, democratic, conservative and justice
parties have
fought three civil wars in twenty years. TO restore
stability an
agreement is reached to rotate the top offices
President, Prime
Minister and Army Chief among the parties so that each
party controls
one and only one office at all times. The three top
office holders
must each have two deputies, one from each of the
other parties. Each
deputy must choose a staff composed of equally members
of his or her
chiefs party and member of the third party.

1. When Justice party holds one of the top offices,
which of the
following cannot be true

(a) Some of the staff members within that office are
justice party members
(b) Some of the staff members within that office are
democratic party
members
(c) Two of the deputies within the other offices are
justice party members
(d) Two of the deputies within the other offices are
conservative
party members
(e) Some of the staff members within the other offices
are justice
party members.

2. When the democratic party holds presidency, the
staff of the prime
minister's deputies are composed
I. One-fourth of democratic party members
II. One-half of justice party members and one-fourth
of conservative
party members
III. One-half of conservative party members and
one-fourth of justice
party members.

(a) I only
(b) I and II only
(c) II or III but not both
(d) I and II or I and III
(e) None of these

3. Which of the following is allowable under the rules
as stated:

(a) More than half of the staff within a given office
belonging to a
single party
(b) Half of the staff within a given office belonging
to a single party
(c) Any person having a member of the same party as
his or her
immediate superior
(d) Half the total number of staff members in all
three offices
belonging to a single party
(e) Half the staff members in a given office belonging
to parties
different from the party of the top office holder in
that office.

4. The office of the Army Chief passes from
Conservative to Justice
party. Which of the following must be fired.

(a) The democratic deputy and all staff members
belonging to Justice party
(b) Justice party deputy and all his or hers staff
members
(c) Justice party deputy and half of his Conservative
staff members in
the chief of staff office
(d) The Conservative deputy and all of his or her
staff members
belonging to Conservative party
(e) No deputies and all staff members belonging to
conservative parties.