ANSWERS|2025/2026|GRADED A+|GUARANTEED
Questions 1-5
A company employee generates a series of five-digit product
codes in accordance with the following rules:
The codes use the digits 0, 1, 2, 3, and 4, and no others.
Each digit occurs exactly once in any code.
The second digit has a value exactly twice that of the
first digit.
The value of the third digit is less than the value of the
fifth digit.
1. If the last digit of an acceptable product code is 1, it
must be true that the
(A) first digit is 2
(B) second digit is 0
(C) third digit is 3
(D) fourth digit is 4
(E) fourth digit is 0
2. Which one of the following must be true about any
acceptable product code?
(A) The digit 1 appears in some position before the
digit 2.
(B) The digit 1 appears in some position before the
digit 3.
(C) The digit 2 appears in some position before the
digit 3.
(D) The digit 3 appears in some position before the
,digit 0.
(E) The digit 4 appears in some position before the
dig - ANSWER ACCEE
Questions 6-10
Exactly three films—Greed, Harvest, and Limelight—are
shown during a film club's festival held on Thursday, Friday,
and Saturday. Each film is shown at least once during the
festival but never more than once on a given day. On each day
at least one film is shown. Films are shown one at a time. The
following conditions apply:
On Thursday Harvest is shown, and no film is shown after
it on that day.
On Friday either Greed or Limelight, but not both, is
shown, and no film is shown after it on that day.
On Saturday either Greed or Harvest, but not both, is
shown, and no film is shown after it on that day.
6. Which one of the following could be a complete and
accurate description of the order in which the films are
shown at the festival?
(A) Thursday: Limelight, then Harvest; Friday:
Limelight; Saturday: Harvest
(B) Thursday: Harvest; Friday: Greed, then
Limelight; Saturday: Limelight, then Greed
(C) Thursda - ANSWER CADED
Questions 11-17
A cruise line is scheduling seven week-long voyages for the
,ship Freedom. Each voyage will occur in exactly one of the
first seven weeks of the season: weeks 1 through 7. Each
voyage will be to exactly one of four destinations:
Guadeloupe, Jamaica, Martinique, or Trinidad. Each
destination will be scheduled for at least one of the weeks. The
following conditions apply to Freedom's schedule:
Jamaica will not be its destination in week 4.
Trinidad will be its destination in week 7.
Freedom will make exactly two voyages to Martinique,
and at least one voyage to Guadeloupe will occur in some
week between those two voyages.
Guadeloupe will be its destination in the week preceding
any voyage it makes to Jamaica.
No destination will be scheduled for consecutive weeks.
11. Which one of the following is an acceptable schedule of
destinations for Freedom, in order from week 1 through
week 7?
(A) Guadeloupe, Jam - ANSWER AADEAAD
Questions 18-23
There are exactly three recycling centers in Rivertown:
Center 1, Center 2, and Center 3. Exactly five kinds of
material are recycled at these recycling centers: glass,
newsprint, plastic, tin, and wood. Each recycling center
recycles at least two but no more than three of these kinds of
material. The following conditions must hold:
Any recycling center that recycles wood also recycles
newsprint.
, Every kind of material that Center 2 recycles is also
recycled at Center 1.
Only one of the recycling centers recycles plastic, and that
recycling center does not recycle glass.
18. Which one of the following could be an accurate account
of all the kinds of material recycled at each recycling
center in Rivertown?
(A) Center 1: newsprint, plastic, wood; Center 2:
newsprint, wood; Center 3: glass, tin, wood
(B) Center 1: glass, newsprint, tin; Center 2: glass,
newsprint, tin; Center 3: newsprint, plastic,
wood - ANSWER BDCDBA
1. Economist: Every business strives to increase its
productivity, for this increases profits for the
owners and the likelihood that the business will
survive. But not all efforts to increase
productivity are beneficial to the business as a
whole. Often, attempts to increase productivity
decrease the number of employees, which clearly
harms the dismissed employees as well as the
sense of security of the retained employees.
Which one of the following most accurately expresses
the main conclusion of the economist's argument?
(A) If an action taken to secure the survival of a
business fails to enhance the welfare of the
business's employees, that action cannot be
good for the business as a whole.
Questions 1-5
A company employee generates a series of five-digit product
codes in accordance with the following rules:
The codes use the digits 0, 1, 2, 3, and 4, and no others.
Each digit occurs exactly once in any code.
The second digit has a value exactly twice that of the
first digit.
The value of the third digit is less than the value of the
fifth digit.
1. If the last digit of an acceptable product code is 1, it
must be true that the
(A) first digit is 2
(B) second digit is 0
(C) third digit is 3
(D) fourth digit is 4
(E) fourth digit is 0
2. Which one of the following must be true about any
acceptable product code?
(A) The digit 1 appears in some position before the
digit 2.
(B) The digit 1 appears in some position before the
digit 3.
(C) The digit 2 appears in some position before the
digit 3.
(D) The digit 3 appears in some position before the
,digit 0.
(E) The digit 4 appears in some position before the
dig - ANSWER ACCEE
Questions 6-10
Exactly three films—Greed, Harvest, and Limelight—are
shown during a film club's festival held on Thursday, Friday,
and Saturday. Each film is shown at least once during the
festival but never more than once on a given day. On each day
at least one film is shown. Films are shown one at a time. The
following conditions apply:
On Thursday Harvest is shown, and no film is shown after
it on that day.
On Friday either Greed or Limelight, but not both, is
shown, and no film is shown after it on that day.
On Saturday either Greed or Harvest, but not both, is
shown, and no film is shown after it on that day.
6. Which one of the following could be a complete and
accurate description of the order in which the films are
shown at the festival?
(A) Thursday: Limelight, then Harvest; Friday:
Limelight; Saturday: Harvest
(B) Thursday: Harvest; Friday: Greed, then
Limelight; Saturday: Limelight, then Greed
(C) Thursda - ANSWER CADED
Questions 11-17
A cruise line is scheduling seven week-long voyages for the
,ship Freedom. Each voyage will occur in exactly one of the
first seven weeks of the season: weeks 1 through 7. Each
voyage will be to exactly one of four destinations:
Guadeloupe, Jamaica, Martinique, or Trinidad. Each
destination will be scheduled for at least one of the weeks. The
following conditions apply to Freedom's schedule:
Jamaica will not be its destination in week 4.
Trinidad will be its destination in week 7.
Freedom will make exactly two voyages to Martinique,
and at least one voyage to Guadeloupe will occur in some
week between those two voyages.
Guadeloupe will be its destination in the week preceding
any voyage it makes to Jamaica.
No destination will be scheduled for consecutive weeks.
11. Which one of the following is an acceptable schedule of
destinations for Freedom, in order from week 1 through
week 7?
(A) Guadeloupe, Jam - ANSWER AADEAAD
Questions 18-23
There are exactly three recycling centers in Rivertown:
Center 1, Center 2, and Center 3. Exactly five kinds of
material are recycled at these recycling centers: glass,
newsprint, plastic, tin, and wood. Each recycling center
recycles at least two but no more than three of these kinds of
material. The following conditions must hold:
Any recycling center that recycles wood also recycles
newsprint.
, Every kind of material that Center 2 recycles is also
recycled at Center 1.
Only one of the recycling centers recycles plastic, and that
recycling center does not recycle glass.
18. Which one of the following could be an accurate account
of all the kinds of material recycled at each recycling
center in Rivertown?
(A) Center 1: newsprint, plastic, wood; Center 2:
newsprint, wood; Center 3: glass, tin, wood
(B) Center 1: glass, newsprint, tin; Center 2: glass,
newsprint, tin; Center 3: newsprint, plastic,
wood - ANSWER BDCDBA
1. Economist: Every business strives to increase its
productivity, for this increases profits for the
owners and the likelihood that the business will
survive. But not all efforts to increase
productivity are beneficial to the business as a
whole. Often, attempts to increase productivity
decrease the number of employees, which clearly
harms the dismissed employees as well as the
sense of security of the retained employees.
Which one of the following most accurately expresses
the main conclusion of the economist's argument?
(A) If an action taken to secure the survival of a
business fails to enhance the welfare of the
business's employees, that action cannot be
good for the business as a whole.
