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OG19-数学分册
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The subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x, y}, {w, x, y}, and {} (the empty subset). How many subsets of the set { w, x, y, z) contain w ?
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OG19-数学分册
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If $$10^{50} - 74$$ is written as an integer in base 10 notation, what is the sum of the digits in that integer?
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OG19-数学分册
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Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?
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OG19-数学分册
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The closing price of Stock X changed on each trading day last month. The percent change in the closing price of Stock X from the first trading day last month to each of the other trading days last month was less than 50 percent. If the closing price on the second trading day last month was $10.00, which of the following CANNOT be the closing price on the last trading day last month?
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OG19-数学分册
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A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce?
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OG19-数学分册
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ls 2x>2y?
(1) x > y
(2) 3x> 3y
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OG19-数学分册
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In each quarter of 1998, Company M earned more money than in the previous quarter, What was the range of Company M's quarterly earnings in 1998?
(1) In the 2nd and 3rd quarters of 1998, Company M earned $4.0 million and $4.6 million, respectively.
(2) In the 1st and 4th quarters of 1998, Company M earned $3.8 million and $4.9 million, respectively.
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OG19-数学分册
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Is the integer p even?
(1) The integer $$p^{2}+ 1$$ is odd.
(2) The integer $$p + 2$$ is even.
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OG19-数学分册
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Did Insurance Company K have more than $300 million in total net profits last year?
(1) Last year Company K paid out $0.95 in claims for every dollar of premiums collected.
(2) Last year Company K earned a total of $150 million in profits from the investment of accumulated surplus premiums from previous years.
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OG19-数学分册
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On the scale drawing of a certain house plan, if 1 centimeter represents x meters, what is the value of x ?
(1) A rectangular room that has a floor area of 12 square meters is represented by a region of area 48 square centimeters.
(2) The 15-meter length of the house is represented by a segment 30 centimeters long.
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OG19-数学分册
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Is the positive integer n odd?
(1) $$n^{2} + {n+1}^{2} + {n+1}^{2} $$is even.
(2) $$n^{2} - {n+1}^{2} + {n+1}^{2} $$is even.
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OG19-数学分册
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Is k + m < O ?
(1) k < O
(2) km> O
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OG19-数学分册
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What is the value of $$2^{x}+2^{-x}$$?
(1) X > 0
(2) $$4^{x}+4^{-x}=23$$
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OG19-数学分册
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What is the ratio of c to d?
(1) The ratio of 3c to 3d is 3 to 4.
(2) The ratio of $$c + 3$$ to $$d + 3$$ is 4 to 5.
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OG19-数学分册
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How many members of a certain legislature voted against the measure to raise their salaries?
(1) $$\frac{1}{4}$$of the members of the legislature did not vote on the measure.
(2) If 5 additional members of the legislature had voted against the measure, then the fraction of members of the legislature voting against the measure would have been $$\frac{1}{3}$$.
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OG19-数学分册
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If x is a positive integer, what is the value of x?
(1) $$x^{2} = \sqrt{x}$$
(2) $$\frac{n}{x} = n$$ and $$ n\neq 0$$.
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OG19-数学分册
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Is the median of the five numbers a, b, c, d, and e equal to d?
(1) a< c< e
(2) b< d< c
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OG19-数学分册
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Yesterday between 9:00 a.m. and 6:00 p.m. at Airport X, all flights to Atlanta departed at equally spaced times and all flights to New York City departed at equally spaced times. A flight to Atlanta and a flight to New York City both departed from Airport X at 1 :00 p.m. yesterday. Between 1 :00 p.m. and 3:00 p.m. yesterday, did another pair of flights to these 2 cities depart from Airport X at the same time?
(1) Yesterday at Airport X, a flight to Atlanta and a flight to New York City both departed at 10:00 a.m.
(2) Yesterday at Airport X, flights to New York City departed every 15 minutes between 9:00 a.m. and 6:00 p.m.
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OG19-数学分册
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In the figure above, $$\overline {AB}$$, which has length z cm, is tangent to the circle at point A, and $$\overline {BD}$$, which has length y cm, intersects the circle at point C. If $$BC= x$$ cm and $$z = \sqrt{xy}$$ , what is the value of x ?
(1) CD=x cm
(2) z =$$5\sqrt{2}$$
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OG19-数学分册
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In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencils than regular pencils. All taxes on the order are a fixed percent of the pretax prices. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?
(1) The tax on the order was 5% of the total pretax price of the order.
(2) The order contained exactly 400 regular pencils.
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