|
81
|
If $$a= 1 + \frac{1}{4} + \frac{1}{16} + \frac{1}{64}$$ and $$ b = 1 + \frac{1}{4}a$$, then what is
the value of $$a - b$$ ?
|
|
82
|
In a certain learning experiment, each participant had
three trials and was assigned, for each trial, a score of
either -2, -1, 0, 1, or 2. The participant's final score
consisted of the sum of the first trial score, 2 times
the second trial score, and 3 times the third trial
score. If Anne received scores of 1 and -1 for her first
two trials, not necessarily in that order, which of the
following could NOT be her final score?
|
|
83
|
For all positive integers $$m$$ and $$v$$, the expression $$m\Theta v$$
represents the remainder when $$m$$ is divided by $$v$$. What
is the value of $$((98 \Theta 33) \Theta 17) - (98 \Theta (33 \Theta 17))$$ ?
|
|
84
|
The chart above shows year-end values for Darnella's
investments. For just the stocks, what was the
increase in value from year-end 2000 to year-end
2003?
|
|
85
|
If the sum of the reciprocals of two consecutive odd
integers is $$\frac{12}{35}$$ , then the greater of the two integers is
|
|
86
|
What is the sum of the odd integers from 35 to 85,
inclusive?
|
|
87
|
In a certain sequence, each term after the first term
is one-half the previous term. If the tenth term of the
sequence is between 0.0001 and 0.001, then the
twelfth term of the sequence is between
|
|
88
|
A certain drive-in movie theater has a total of 1 7 rows
of parking spaces. There are 20 parking spaces in the
first row and 21 parking spaces in the second row. In
each subsequent row there are 2 more parking spaces
than in the previous row. What is the total number of
parking spaces in the movie theater?
|
|
89
|
Ada and Paul received their scores on three tests. On
the first test, Ada's score was 10 points higher than
Paul's score. On the second test, Ada's score was
4 points higher than Paul's score. If Paul's average
(arithmetic mean) score on the three tests was
3 points higher than Ada's average score on the three
tests, then Paul's score on the third test was how many
points higher than Ada's score?
|
|
90
|
The price of a certain stock increased by 0.25 of
1 percent on a certain day. By what fraction did the
price of the stock increase that day?
|
|
91
|
For each trip, a taxicab company charges $4.25 for
the first mile and $2.65 for each additional mile or
fraction thereof. If the total charge for a certain trip
was $62.55, how many miles at most was the trip?
|
|
92
|
When 24 is divided by the positive integer n, the
remainder is 4. Which of the following statements
about n must be true?
I. n is even.
II. n is a multiple of 5.
Ill. n is a factor of 20.
|
|
93
|
What is the thousandths digit in the decimal equivalent
of $$\frac{53}{5,000}$$?
|
|
94
|
The average (arithmetic mean) of the positive integers
x, y, and z is 3. If x < y < z, what is the greatest
possible value of z?
|
|
95
|
The product of 3,305 and the 1-digit integer xis a
5-digit integer. The units (ones) digit of the product is 5
and the hundreds digit is y. If A is the set of all possible
values of x and B is the set of all possible values of
y, then which of the following gives the members of A
and B?
|
|
96
|
What is the largest integer n such that $$\frac{1}{2^{n}}> 0.01$$ ?
|
|
97
|
If x and y are integers such that $$2 < x \leq 8$$ and
$$2 < y \leq 9$$, what is the maximum value of $$\frac{1}{x}-\frac{x}{y}$$ ?
|
|
98
|
Items that are purchased together at a certain discount
store are priced at $3 for the first item purchased and
$1 for each additional item purchased. What is the
maximum number of items that could be purchased
together for a total price that is less than $30 ?
|
|
99
|
What is the least integer z for which $$(0.000125)(0.0025)(0.00000125) \times 10^{z}$$ is an integer?
|
|
100
|
The average (arithmetic mean) length per film for a group
of 21 films is t minutes. If a film that runs for 66 minutes
is removed from the group and replaced by one that runs
for 52 minutes, what is the average length per film, in
minutes, for the new group of films, in terms of t?
|