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OG19-语文分册 OG20-语文分册
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On May first, in order to reduce the number of overdue books, a children's library instituted a policy of forgiving fines and giving bookmarks to children returning all of their overdue books. On July first there were twice as many overdue books as there had been on May first, although a record number of books had been returned during the interim.
Which of the following, if true, most helps to explain the apparent inconsistency in the results of the library's policy?
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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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OG19-数学分册
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A total of 20 amounts are entered on a spreadsheet that has 5 rows and 4 columns; each of the 20 positions in the spreadsheet contains one amount. The average (arithmetic mean) of the amounts in row i is $$R_i$$ ($$1 \leq i \leq 5$$). The average of the amounts in column j is $$C_j$$ ($$ 1\leq j \leq 4$$). What is the average of all 20 amounts on the spreadsheet?
(1) $$R_1 + R_2 + R_3 + R_4 + R_5 = 550$$
(2) $$C_1 + C_2 +.C_3 + C_4 = 440$$
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OG19-数学分册
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If a, b, c, and dare numbers on the number line shown and if the tick marks are equally spaced, what is the value of a + c ?
(1) $$a+b=-8$$
(2) $$a+ d= 0$$
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OG19-数学分册
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What is the probability that Lee will make exactly 5 errors on a certain typing test?
(1) The probability that Lee will make 5 or more errors on the test is 0.27.
(2) The probability that Lee will make 5 or fewer errors on the test is 0.85.
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OG19-数学分册
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If pis a positive integer, is $$2^{p} + 1$$ a prime number?
(1) p is a prime number.
(2) p is an even number.
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OG19-数学分册
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If $$abc \neq 0$$, is $$\frac{\frac{a}{b}}{c}=\frac{a}{\frac{b}{c}}$$ ?
(1) $$a=1$$
(2) $$c= 1$$
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OG19-数学分册
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A certain list consists of 400 different numbers. Is the average (arithmetic mean) of the numbers in the list greater than the median of the numbers in the list?
(1) Of the numbers in the list, 280 are less than the average.
(2) Of the numbers in the list, 30 percent are greater than or equal to the average.
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OG19-数学分册
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What is the area of rectangular region R?
(1) Each diagonal of R has length 5.
(2) The perimeter of R is 14.
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OG19-数学分册
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What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?
(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter.
(2) The wheel made twenty 360-degree rotations per minute.
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OG19-数学分册
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In the equation $$x^{2} +bx+ 12 = 0$$, xis a variable and b is a constant. What is the value of b ?
(1) $$x - 3$$ is a factor of $$x^{2} + bx+ 12$$.
(2) 4 is a root of the equation $$x^{2} +bx+ 12 = 0$$.
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OG19-数学分册
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In the figure above, line segment OP has slope $$\frac{1}{2}$$ and line segment PQ has slope 2. What is the slope of line segment OQ?
(1) Line segment OP has length $$2\sqrt{5}$$.
(2) The coordinates of point Q are (5,4).
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