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OG18-数学分册
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In $$\Delta$$XYZ, what is the length of YZ?(1) The length of XY is 3.(2) The length of XZ is 5.
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OG18-数学分册
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If x is a positive integer, is $$\sqrt{x}$$ an integer?(1) $$\sqrt{4x}$$ is an integer.(2) $$\sqrt{3x}$$ is not an integer.
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OG18-数学分册
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In the xy-plane, lines k and $$\ell$$ intersect at the point (1,1) . Is the y-intercept of k greater than the y-intercept of $$\ell$$?(1) The slope of k is less than the slope of $$\ell$$.(2) The slope of $$\ell$$ is positive.
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Both X and Y are more than 0，is X<70？
1）4y+3x<200
2）6y+5x<340
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OG19 OG20 OG2022
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If n is an integer, what is the greatest common divisor of 12 and n？
(1)The product of 12 and n is 432
(2)The greatest common divisor of 24 and n is 12
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OG19 OG20 OG2022
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if xy$$\neq$$0,is $$x^{3}+y^{3}>0$$?
(1)x+y>0
(2)xy>0
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OG19 OG20 OG2022
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Each of the 256 solid-colored marbles in a box is either blue, green, or purple What is the ratio of the number of blue marbles to the number of purple marbles in the box?
(1)The number of green marbles in the box is 4 times the number of blue marbles in the box.
(2)There are 192 green marbles in the box.
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OG19 OG20 OG2022
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In a real estate office that employs n salespeople, f of them are females and x of the females are new employees. What is the value of n?
(1)If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3
(2)If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2
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OG19 OG20 OG2022
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What was the median annual salary for the employees at Company X last year?
(1)Last year there were 29 employees at Company X
(2)Last year 12 employees at Company X had an annual salary of $24,000
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OG19 OG20 OG2022
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The cost of 10 pounds of apples and 2 pounds of grapes was $12. What was the cost per pound of apples?
(1)The cost per pound of grapes was $2
(2)The cost of 2 pounds of apples was less than the cost of 1 pound of grapes.
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OG19 OG20 OG2022
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Last semester, Professor K taught two classes, A and B. Each student in class A handed in 7 assignments, and each student in class B handed in 5 assignments. How many students were in class A
(1)The students in both classes combined handed in a total of 85 assignments.
(2)There were 10 students in class B
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OG19 OG20 OG2022
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Machine R and machine S work at their respective constant rates. How a much time does it take machine R, working alone, to complete a certain job?
(1) The amount of time that it takes machine S, working alone, to complete the job is $${\frac{3}{4}}$$ the amount of time that it takes machin R, working alone, to complete the job
(2)Machine R and machine S, working together, take 12 minutes to complete the job
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OG19-数学分册
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What is the value of the integer x?
(1) x rounded to the nearest hundred is 7,200.
(2) The hundreds digit of x is 2.
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OG19-数学分册
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In a certain factory, hours worked by each employee in excess of 40 hours per week are overtime hours and are paid for at $$1\frac{1}{2}$$ times the employee's regular hourly pay rate. If an employee worked a total of 42 hours last week, how much was the employee's gross pay for the hours worked last week?
(1) The employee's gross pay for overtime hours worked last week was $30.
(2) The employee's gross pay for all hours worked last week was $30 more than for the previous week.
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OG19-数学分册
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If x > 0, what is the value of $$x^{5}$$ ?
$$\sqrt{x}$$=32
$$x^{2}=2^{20}$$
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OG19-数学分册
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In the quilting pattern shown above, a small square has its vertices on the sides of a larger square. What is the side length, in centimeters, of the larger square?
(1) The side length of the smaller square is 10 cm.
(2) Each vertex of the small square cuts 1 side of the larger square into 2 segments with lengths in the ratio of 1:2.
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OG19-数学分册
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Is zw positive?
(1) $$z + w^{3} = 20$$
(2) z is positive.
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OG19-数学分册
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In the rectangular coordinate system .above, if △OPQ and △QRS have equal area, what are the coordinates of point R?
(1) The coordinates of point Pare (0,12).
(2) $$OP = OQ$$ and $$QS = RS$$.
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OG19-数学分册
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Company X's profits this year increased by 25% over last year's profits. Was the dollar amount of Company X's profits this year greater than the dollar amount of Company Y's?
(1) Last year, the ratio of Company Y's profits to Company X's profits was 5:2.
(2) Company Y experienced a 40% drop in profits from last year to this year.
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OG19-数学分册
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A candle company determines that, for a certain specialty candle, the supply function is $$p = m_1x +b_1$$ and the demand function is $$p = m_2x +b_2$$, where p is the price of each candle, x is the number of candles supplied or demanded, and $$m_1$$, $$m_2$$, $$b_1$$, and $$b_2$$ are constants. At what value of x do the graphs of the supply function and demand function intersect?
(1) $$m_1 = -m_2 = 0.005$$
(2) $$b_2 - b_1 = 6$$
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