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Machine K, working alone at its constant rate, produces 100 units of product Z in 2 hours. Machine L, working alone at its constant rate, produces 100 units of product Z in 3 hours. Machine M, working alone at its constant rate, produces 100 units of product Z in 4 hours.

Quantity A

The amount of time that it takes machines K, L, and M, working simultaneously at their respective constant rates, to produce 100 units of product Z

Quantity B

1 hour


A certain company has 50 printers that print at the same constant rate. Working continuously and simultaneously at that rate, it takes 9 of the printers 5 hours to complete print job A. Working continuously and simultaneously at that rate, it takes n of the printers 3 hours to complete print job A.

Quantity A

n

Quantity B

16


Two officers, stationed at opposite ends of a 1.5-mile zone where the speed limit is 40 miles per hour, use stopwatches and two-way radios to check speeds through the zone. A certain driver traveled through the entire zone in exactly 108 seconds. If the penalty for speeding in this zone is $50 plus $10 for each mile per hour that the driver exceeded the speed limit, how much should the penalty be for this driver?
$$2^{3x}=4^{2y}$$[/br] x > 0 and y > 0

Quantity A

x

Quantity B

y


Quantity A

$$(\frac{2^{3}}{3^{2}})^{4}$$

Quantity B

$$(\frac{2^{-3}}{3^{-2}})^{-4}$$


The advertised size of a television is the length of the diagonal of the rectangular viewing screen. For a television advertised as 42-inch, if the ratio of the lengths of the sides of the viewing screen is 16 to 9. approximately what is the area, in square inches, of the viewing screen?


The two circles have centers at B and C, respectively, and are mutually tangent. Each circle has radius r.

Quantity A

The perimeter of quadrilateral ABCD

Quantity B

8r




The two circles shown have the same circumference and are tangent to each other at point S. Point R (not shown) is on one of the circles, and point T (not shown) is on the other circle.

Quantity A

The circumference of either circle

Quantity B

The length of line segment RT




Of the following, which is closest to the percent increase in the number of subscribers from quarter I to quarter Il of 1997?


The increase from quarter IV of 1997 to quarter l of 1998 in the total time that the subscribers spent on-line daily was approximately how many million minutes?


From quarter I of 1997 to quarter IV of 1998, the average (arithmetic mean) increase per quarter in the number of subscribers was approximately how many million?
Ten consecutive integers are arranged in order from least to greatest. If n is the median of the first 5 integers, then the median of the last 5 integers must be
A dog show features four breeds consisting of 3 poodles, 3 German shepherds, 3 boxers, and 2 Irish setters. If the winning group will consist of one dog from each breed, how many different winning groups are possible?
Jim exercised last Monday at 6:00 in the evening and then exercised every third day after that. For example,after last Monday,he exercised the following Thursday and then the Sunday following that.How many days after last Monday will be the next Monday he exercises?

_____days
In a list of 350 different positive integers, 70 percent of the integers are less than 500, and the least integer is x.

Quantity A

The greatest possible value of x

Quantity B

255


n is an integer greater than 10.

Quantity A

(n+2)!+(n+1)!

Quantity B

(n+3)!+n!


x > y

Quantity A

-2x

Quantity B

-2y




ABCD is a parallelogram.

Quantity A

CE

Quantity B

2


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