103

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

104

On a scale drawing, a rectangle 1 inch by $$1\frac{1}{3}$$inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot = 12 inches)

105

According to a survey of 200 people, 60 enjoy skiing and 80 enjoy skating. If the number of people who enjoy neither skiing nor skating is 2 times the number of people who enjoy both skiing and skating, how many people surveyed enjoy neither skiing nor skating?

106

m⊕p = n
n⊕r =m
n⊕q = q
p⊕q = p
q⊕p = r
If the relations shown hold for the operation ⊕ and the numbers m, n, p, q, and r, then [(m ⊕ p) ⊕q] ⊕ p =

107

To rent a tractor, it costs a total of x dollars for the first 24 hours, plus y dollars per hour for each hour in excess of 24 hours. Which of the following represents the cost, in dollars, to rent a tractor for 36 hours?

108

If the mass of 1 cubic centimeter of a certain substance is 7.3 grams, what is the mass, in kilograms, of 1 cubic meter of this substance? (1 cubic meter = 1,000,000 cubic centimeters; 1 kilogram = 1,000 grams)

109

If z≠o and z + $$\frac{12z^{2}}{z}$$=$$\frac{w}{z}$$,then ω=

110

For all real numbers a, b, c, d, e,and f,the operation θ is defined by the equation (a, b, c) θ (d, e,f) = ad + be + cf. What is the value of (1,2, 3)θ(1,$$\frac{1}{2}$$, $$\frac{1}{3}$$)?

111

If m and p are positive integers and$$ m^{2} + p^{2} < 100$$, what is the greatest possible value of mp ?

112

If $$\frac{x}{y}=\frac{c}{d}$$ and $$\frac{d}{c}=\frac{b}{a}$$, which of the following must be true?I. $$\frac{y}{x} = \frac{b}{a}$$II. $$\frac{x}{a} = \frac{y}{b}$$III. $$\frac{y}{a} = \frac{x}{b}$$

113

If k is an integer and $$({0.0025})({0.025})({0.00025})\times{10}^{k}$$ is an integer, what is the least possible value of k?

114

If a(a + 2) = 24 and b(b + 2) = 24, where $$ a\neq b,$$ then a + b =

115

In the xy plane, the distance between the origin and the point(4,5)is the same as the distance between which of the following two points?

116

In a recent election, Ms. Robbins received 8,000 votes cast by independent voters, that is, voters not registered with a specific political party. She also received 10 percent of the votes cast by those voters registered with a political party. If N is the total number of votes cast in the election and 40 percent of the votes cast were cast by independent voters, which of the following represents the number of votes that Ms. Robbins received?

117

The profit P, in dollars, for any given month at a certain company is defined by P = I  C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12month year?

118

In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?

119

A manufacturer makes and sells 2 products, P and Q. The revenue from the sale of each unit of P is $20.00 and the revenue from the sale of each unit of Q is $17.00. Last year the manufacturer sold twice as many units of Q as P. What was the manufacturer's average (arithmetic mean ) revenue per unit sold of these 2 products last year?

121

Last year a state senate consisting of only Republican and Democrat members had 20 more Republican members than Democrat members. This year the senate has the same number of members as last year, but it has 2 fewer Republican members than last year. If this year the number of Republican members is $$\frac{2}{3}$$ the number of senate members, how many members does the senate have this year?

122

The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

123

Sam has $800 in his account. He will deposit $1 in his account one week from now, $2 two weeks from now, and each week thereafter he will deposit an amount that is $1 greater than the amount that he deposited one week before. If there are no other transactions, how much money will Sam have in his account 50 weeks from now?
