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
digit 3.
3. If the third digit of an acceptable product code is not 0,
which one of the following must be true?
(A) The second digit of the product code is 2.
(B) The third digit of the product code is 3.
(C) The fourth digit of the product code is 0.
(D) The fifth digit of the product code is 3.
(E) The fifth digit of the product code is 1.
4. Any of the following pairs could be the third and
fourth digits, respectively, of an acceptable product
code, EXCEPT:
(A) 0, 1
(B) 0, 3
(C) 1, 0
(D) 3, 0
(E) 3, 4
5. Which one of the following must be true about any
acceptable product code?
(A) There is exactly one digit between the digit 0
and the digit 1.
(B) There is exactly one digit between the digit 1
and the digit 2.
(C) There are at most two digits between the digit 1
and the digit 3.
(D) There are at most two digits between the digit 2
and the digit 3.
(E) There are at most two digits between the digit 2
,and the digit 4. - 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) Thursday: Harvest; Friday: Limelight; Saturday:
Limelight, then Greed
(D) Thursday: Greed, then Harvest, then Limelight;
Friday: Limelight; Saturday: Greed
(E) Thursday: Greed, then Harvest; Friday:
Limelight, then Harvest; Saturday: Harvest
7. Which one of the following CANNOT be true?
, (A) Harvest is the last film shown on each day of the
festival.
(B) Limelight is shown on each day of the festival.
(C) Greed is shown second on each day of the
festival.
(D) A different film is shown first on each day of the
festival.
(E) A different film is shown last on each day of the
festival.
8. If Limelight is never shown again during the festival
once Greed is shown, then which one of the following is
the maximum number of film showings that could occur
during the festival?
(A) three
(B) four
(C) five
(D) six
(E) seven
9. If Greed is shown exactly three times, Harvest is shown
exactly twice, and Limelight is shown exactly once, then
which one of the following must be true?
(A) All three films are shown on Thursday.
(B) Exactly two films are shown on Saturday.
(C) Limelight and Harvest are both shown on
Thursday.
(D) Greed is the only film shown on Saturday.
(E) Harvest and Greed are both shown on Friday.
10. If Limelight is shown exactly three times, Harvest is
shown exactly twice, and Greed is shown exactly once,