The author’s main purpose in the passage is to A defend Abe’s later works against the prevalent criticism of it.. C explain the differences between Abe’s earlier and later works.. Mark t
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18. The author’s main purpose in the passage
is to
(A) defend Abe’s later works against the
prevalent criticism of it.
(B) advocate for Abe’s work over that of
his contemporaries.
(C) explain the differences between Abe’s
earlier and later works.
(D) argue that Abe is an even greater
writer and artist than generally perceived.
(E) demonstrate that Abe’s work became
less interesting after he left Manchu-ria.
19. The author of the passage is most likely a
(A) film critic.
(B) literary critic.
(C) avant-garde artist.
(D) translator.
(E) novelist.
20. The author’s attitude toward Marxism can best be described as
(A) contemptuous derision.
(B) reverent espousal.
(C) skeptical tolerance.
(D) respectful interest.
(E) restrained impatience.
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Section 2
21 Questions j Time—25 Minutes
Directions: Solve the following problems using any available space on the page for scratchwork Mark the letter of your choice on the answer sheet that best corresponds to the correct answer.
Notes:
1 You may use a calculator All of the numbers used are real numbers.
2 You may use the figures that accompany the problems to help you find the solution Unless the instructions say that a figure is not drawn to scale, assume that it has been drawn accurately Each figure lies in a plane unless the instructions say otherwise.
w b
a
c
3x
r
30 60 45
45
2s
s
s x
A 5 pr 2
C 5 2pr A 5 ,w A 5 1
2 bh V 5 ,wh V 5 pr
2 h c 2 5 a 2 1 b 2 Special Right Triangles
The number of degrees of arc in a circle is 360.
The measure in degrees of a straight angle is 180.
The sum of the measures in degrees of the angles of a triangle is 180.
1. What percentage of 75 is 12?
(A) 8%
(B) 12%
(C) 16%
(D) 18%
(E) 20%
2. If a circle is inscribed in a square of area
36, what is the area of the circle?
(A) 36p (B) 24p (C) 12p (D) 9p (E) 6p
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3. Which of the following could have a slope
of one?
(A)
(B)
(C)
(D)
(E)
4. The first four terms of a series are 1, 4, 9, and 16 What is the eight term of this series?
(A) 49 (B) 56 (C) 64 (D) 72 (E) 81 5.
What is the area of the above parallelo-gram?
(A) 16 (B) 18 (C) 22 (D) 24 (E) 32
6. Which of the following fractions has the greatest reciprocal?
(A) 2
9
(B) 4
5
(C) 7
3
(D) 2
3
(E) 3
13
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7.
If a 5 60 and c 5 50 then x =
(A) 40
(B) 65
(C) 75
(D) 85
(E) 110
8. @ 2 2 1 2 2 ! 21 # 22 5
(A) 1
64
(B) 1
16
(C) 1
8
(D) 16
(E) 64
9.
According to the chart above, Company B produced approximately how many more widgets than Company A?
(A) 75,000 (B) 150,000 (C) 225,000 (D) 300,000 (E) 375,000
10. If x x is odd, and x is an integer, then the value of x must be
(A) odd.
(B) even.
(C) less than one.
(D) an irrational number.
(E) None of the above.
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The following description applies to questions
11–13.
The factorial of a number is the product of all
the integers from one to the number For
example, 5 factorial is 5 3 4 3 3 3 2 3 1 The
notation for a factorial is the number followed
by an exclamation point.
Thus 5! 5 5 3 4 3 3 3 2 3 1.
11. 6!
3! 5
(A) 2
(B) 16
(C) 30
(D) 88
(E) 120
12. If f(x) 5 (x!) 2 then f(3) 5
(A) 16
(B) 36
(C) 172
(D) 1080
(E) 6282
13. If y 1 2 5 x , and y and x are integers,
then y!
(B) y
(C) 1
(D) y
x
(E) y(y 2 1)
14. If the determinant of this matrix is 26,
what is the value of n?
S n 4
5 27 D
(A) 22 (B) 25 3
5
(C) 27 (D) 28 (E) 28 3
4
15. If p 1 q 5 2q 1 6, which of the following
statements must be true?
I p is even
II q is even III pq is even
(A) I only (B) II only (C) II and III only (D) I, II, and III (E) None 16.
For the above graph, for which values of x
is y 0?
(A) 23 , 21 and 1 , x , 3 (B) x , 23 and 21 , x , 1 and x 3 (C) x , 23 and 1 , x , 3 and x 3
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17.
The numbers from the number set
{9, 11, 12, 15, 16} must be put in the
above boxes according to these
condi-tions:
Boxes A, C, and D contain numbers
divisible by three.
Box B contains a prime number.
Which number must be in Box E?
(A) 9
(B) 11
(C) 12
(D) 15
(E) 16
18.
If,AC 5 8, AB 5 4, and D and H are
midpoints on CE and AG respectively,
what percentage of the rectangle is
shaded?
(A) 12.5%
(B) 16.33%
(C) 20%
(D) 25%
(E) 30%
19 Raising n 2 n p by which of the following will
give the result n?
(A) p
2 p n
(B) n
n p
(C) p
n
(D) 2n
p
p
20. If n is a positive integer and n, n 2 2, and
n 1 2 are each prime numbers, then the
set of those three numbers is called a prime triplet How many different prime triplets are there where none of the set is greater than fifty?
(A) 1 (B) 2 (C) 3 (D) 4 (E) None.
21. If a circle has four tangents, each of which
is perpendicular to two of the other tangents, then
(A) at most one pair of tangent lines is
parallel.
(B) at most two pairs of tangent lines are
parallel.
(C) all four tangent lines are parallel.
(D) a square is inscribed in the circle.
(E) one particular diameter could be
perpendicular to all four tangent lines.
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Section 3
30 Questions j Time—25 Minutes
Identifying Sentence Errors
Directions: Mark the letter of your choice on the answer sheet that best corresponds to the correct answer.
Notes:
1 The following questions test your knowledge of the rules of English grammar, as well as word usage, word choice, and idioms.
2 Some sentences are correct, but others contain a single error No sentence contains more than one error.
3 Any errors that occur will be found in the underlined portion of the sentence Choose the letter underneath the error to indicate the part of the sentence that must be changed.
4 If there is no error, pick answer choice (E).
5 There will be no change in any parts of the sentence that are not underlined.
1. Despite
A
the enormous voter drive
B , there are still many city-dwellers who
C are not registered
D
to vote No error
E
2. Debating
A
the energy bill was the first order of business for the Senate; to set the
3. The FDA did not conclude
A
that the negative side affects
B
of the drug offset
C the drug’s positive benefits
D
No error E
4. Over the last decade,
A the information industry had grown into a
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5. Reading widely
A
in her field, making herself
B available to students, and
her sophisticated research
C
paid off for D Professor Jackson: she was awarded
tenure last year No error
E
6. One cannot perform multiple tasks
simultaneously
A
if one is B
easily distracted
C
by one’s surroundings
D
No error E
7. In many ways emblematic of
A
the sweeping changes the state’s
B agricultural industry has undergone
C
, strawberry farming had exploded
D
in Central California.
No error
E
8. Of A
Armigo’s two films, most critics agree
B that the second is
C
best D
No error E
9. Most people in the neighborhood agree that
A
it is reasonable for
B
the represen-tative to not acquiesce
C
to D the demands of the transit authority No error
E
10. Although
A
in many ways Canada is a staunch ally of
B
the United States, they have
C made their differences known on
D
a number of important issues.
No error E