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61
|
The expression n! is defined as the product of the
integers from 1 through n. If p is the product of the
integers from 100 through 299 and q is the product
of the integers from 200 through 299, which of the
following is equal to $$\frac{p}{q}$$?
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62
|
A school club plans to package and sell dried fruit to
raise money. The club purchased 12 containers of
dried fruit, each containing $$16\frac{3}{4}$$ pounds. What is the
maximum number of individual bags of dried fruit, each
containing $$\frac{1}{4}$$ pounds, that can be sold from the dried
fruit the club purchased?
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63
|
A nursery sells fruit trees priced as shown in the chart
above. In its inventory 54 trees are less than 5 feet
in height. If the expected revenue from the sale of its
entire stock is estimated at $2,450, approximately
how much of this will come from the sale of trees that
are at least 5 feet tall?
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64
|
The sequence $$a_{1}$$, $$a_{2}$$, $$a_{3}$$, $$a_{4}$$,$$a_{5}$$ is such that
$$a_{n}=a_{n-1}+5$$ for $$2\leq n\leq 5$$. If$$ a_{5} = 31$$, what is
the value of $$a_{1}$$ ?
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65
|
A certain bridge is 4,024 feet long. Approximately
how many minutes does it take to cross this
bridge at a constant speed of 20 miles per hour?
(1 mile= 5,280 feet)
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66
|
If S = {0, 4, 5, 2, 11, 8), how much greater than
the median of the numbers in S is the mean of the
numbers in S ?
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67
|
The annual interest rate earned by an investment
increased by 10 percent from last year to this year. If
the annual interest rate earned by the investment this
year was 11 percent, what was the annual interest rate
last year?
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68
|
A total of 5 liters of gasoline is to be poured into
two empty containers with capacities of 2 liters and
6 liters, respectively, such that both containers will
be filled to the same percent of their respective
capacities. What amount of gasoline, in liters, must be
poured into the 6-liter container?
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69
|
List S consists of 10 consecutive odd integers, and list
T consists of 5 consecutive even integers. If the least
integer in S is 7 more than the least integer in T, how
much greater is the average (arithmetic mean) of the
integers in S than the average of the integers in T?
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70
|
In the figure above, what is the area of triangular
region BCD?
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|
71
|
What is the larger of the 2 solutions of the equation
$$x^{2} - 4x = 96$$?
|
|
72
|
Of the goose eggs laid at a certain pond,$$\frac{2}{3}$$ hatched,
and $$\frac{3}{4}$$ of the geese that hatched from those eggs
survived the first month. Of the geese that survived
the first month, $$\frac{3}{5}$$ did $$\underline{not}$$ survive the first year. If
120 geese survived the first year and if no more than
one goose hatched from each egg, how many goose
eggs were laid at the pond?
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73
|
If $$x^{2} - 2x - 15 = 0$$ and $$ x > 0$$ which of the following
must be equal to 0 ?
I. $$x^{2} - 6x +9$$
II. $$x^{2} - 7x +10$$
III. $$x^{2} - 10x +25$$
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74
|
$$\frac{(39,897)(0.0096)}{198.76}$$ is approximately
|
|
75
|
If a square region has area n, what is the length of the
diagonal of the square in terms of n ?
|
|
76
|
The "prime sum" of an integer n greater than 1 is the
sum of all the prime factors of n, including repetitions.
For example, the prime sum of 12 is 7, since
12 = 2 x 2 x 3 and 2 + 2 + 3 = 7. For which of the
following integers is the prime sum greater than 35 ?
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77
|
Each machine at a toy factory assembles a certain kind
of toy at a constant rate of one toy every 3 minutes.
If 40 percent of the machines at the factory are to be
replaced by new machines that assemble this kind
of toy at a constant rate of one toy every 2 minutes,
what will be the percent increase in the number of
toys assembled in one hour by all the machines at the
factory, working at their constant rates?
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78
|
When a subscription to a new magazine was
purchased for m months, the publisher offered a
discount of 75 percent off the regular monthly price
of the magazine. If the total value of the discount was
equivalent to buying the magazine at its regular monthly
price for 27 months, what was the value of m ?
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79
|
At a garage sale, all of the prices of the items sold
were different. If the price of a radio sold at the garage
sale was both the 15th highest price and the 20th
lowest price among the prices of the items sold, how
many items were sold at the garage sale?
|
|
80
|
Half of a large pizza is cut into 4 equal-sized pieces, and
the other half is cut into 6 equal-sized pieces. If a person
were to eat 1 of the larger pieces and 2 of the smaller
pieces, what fraction of the pizza would remain $$\underline{uneaten}$$?
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