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What is the total number of executives at Company P?(1)The number of male executives is $$\frac3 5$$ the number of female executives.(2)There are 4 more female executives than male executives.
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If two copying machines work simultaneously at their respective constant rates, how many copies do they produce in 5 minutes?(1)One of the machines produces copies at the constant rate of 250 copies per minute.(2)One of the machines produces copies at twice the constant rate of the other machine.
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OG16 OG17 OG18 OG19 OG20 OG2022
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In the parallelogram shown, what is the value of x?(1)y = 2x(2)x + z = 120
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OG12
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The number n of units of its product that Company X is scheduled to produce in month t of its next fiscal year is given by the formula $${n}=\frac{900} {1+{c2}^{-t}}$$, where c is a constant and t is a positive integer between 1 and 6, inclusive. What is the number of units of its product that Company X is scheduled to produce in month 6 of its next fiscal year?(1)Company X is scheduled to produce 180 units of its product in month 1 of its next fiscal year.(2)Company X is scheduled to produce 300 units of its product in month 2 of its next fiscal year.
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Is the number x between 0.2 and 0.7?(1)560x< 280(2)700x > 280
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OG12
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Is x an integer?(1)$$\frac x 2$$ is an integer.(2)2x is an integer.
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What is the value of$$\frac1 k+\frac1 r$$(1)k+r=20(2)kr = 64
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OG12 OG15
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In △PQR, if PQ = x, QR = x + 2, and PR = y, which of the three angles of △PQR has the greatest degree measure?(1)y=x + 3(2)x = 2
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What distance did Jane travel?(1)Bill traveled 40 miles in 40 minutes.(2)Jane traveled at the same average rate as Bill.
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OG12 OG15 OG16 OG17 OG18
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The profit from the sale of a certain appliance increases, though not proportionally, with the number of units sold. Did the profit exceed $4 million on sales of 380,000 units?(1)The profit exceeded $2 million on sales of 200,000 units.(2)The profit exceeded $5 million on sales of 350,000 units.
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OG12 OG15 OG16
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The inside of a rectangular carton is 48 centimeters long, 32 centimeters wide, and 15 centimeters high. The carton is filled to capacity with k identical cylindrical cans of fruit that stand upright in rows and columns, as indicated in the figure above. If the cans are 15 centimeters high, what is the value of k ?(1)Each of the cans has a radius of 4 centimeters.(2)Six of the cans fit exactly along the length of the carton.
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OG12 OG15
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For the system of equations given, what is the value of z?(1)x=7(2)t = 5
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OG12 OG15 OG16
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If the two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?(1)Each step is $$\frac3 4$$ foot high.(2)Each step is 1 foot wide.
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OG12 OG15 OG16
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What is the value of n in the equation $$-25 + 19 + n = s$$?(1)$$s = 2$$(2)$$\frac{n}{s} = 4$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If d denotes a decimal, is $$d \ge 0.5$$?(1)When d is rounded to the nearest tenth, the result is 0.5.(2)When d is rounded to the nearest integer, the result is 1.
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If $$\sqrt {\frac x y}=n$$ what is the value of $$x$$?(1)$$yn=10$$(2)$$y=40$$ and $$n=\frac1 4$$
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OG12 OG15
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What is the value of b + c ?(1)ab + cd + ac + bd = 6(2)a + d = 4
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How much did a certain telephone call cost?(1)The call lasted 53 minutes.(2)The cost for the first 3 minutes was 5 times the cost for each additional minute.
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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The figure above represents a circle graph of Company H's total expenses broken down by the expenses for each of its five divisions. If O is the center of the circle and if Company H's total expenses are $5,400,000, what are the expenses for Division R ?(1)x = 94(2)The total expenses for Divisions S and T are twice as much as the expenses for Division R.
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If Ms. Smith's income was 20 percent more for 1991 than it was for 1990. how much was her income for 1991?(1)Ms. Smith's income for the first 6 months of 1990 was S17,500 and her income for the last 6 months of 1990 was $20,000.(2)Ms. Smith's income for 1991 was $7,500 greater than her income for 1990.
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