Is the smallest of five consecutive integers even?
(1) The product of the five integers is 0.
(2) The sum of the five integers is 0.
a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d. EACH statement ALONE is sufficient.
e. Statements (1) and (2) TOGETHER are NOT SUFFICIENT - b. Statement (2) ALONE is sufficient, but
statement (1) alone is not sufficient.
What is the value of x?
(1) x2 = 6x - 9
(2) x2 = x + 6
a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d. EACH statement ALONE is sufficient.
,e. Statements (1) and (2) TOGETHER are NOT SUFFICIENT - a. Statement (1) ALONE is sufficient, but
statement (2) alone is not sufficient.
State | 1980 | 1990
Washington 12% 10%
Oregon 17% 17%
Iowa 9% 13%
Vermont 20% 15%
Maine 9% 12%
California 33% 33%
Total | 1.2 B | 1.6 B
The number of matches produced in Oregon in 1980 was approximately the same as the number
produced in which state in 1990?
Washington
Maine
California
Oregon
Iowa - Iowa
State | 1980 | 1990
Washington 12% 10%
Oregon 17% 17%
Iowa 9% 13%
,Vermont 20% 15%
Maine 9% 12%
California 33% 33%
Total | 1.2 B | 1.6 B
The increase in the number of matches produced in California from 1980 to 1990 exceeds by how many
million the increase in the number of matches produced in Oregon over the same period?
68
64
16
2.56
1.82 - 64
A circle is inscribed in a square. What is the area of the shaded region?
(1) The distance from the center of the circle to a vertex of the square is 2 Square root of 2
(2) The square has a perimeter of 16.
a. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
b. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
c. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
d. EACH statement ALONE is sufficient.
e. Statements (1) and (2) TOGETHER are NOT SUFFICIENT - d. EACH statement ALONE is sufficient.
(3^3+ 3)/3 + (3^2+3^2)/3^2 =
, 1
5
12
17
30 - 12
During the first hour of a day, a stationary store sells only $1.50 worth of envelopes, $2.25 worth of
pens, and a three-ring binder for $5.25. If the store had $20 in the cash register at the beginning of the
day, and the store charges 8 percent sales tax on all purchases, how much money is in the register at the
end of the first hour?
$29.72
$27.92
$20.72
$9.72
$7.92 - $29.72
Triangle:
a=6
b=?
c=?
Angle ab = 90
In the right triangle above, is c less than 10?
(1) b < 8
(2) c > 9
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