MATH.12

# Q23 if x and y are positive integers and x 3 y 4 2000

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Q23: If x and y are positive integers, and x 3 y 4 = 2,000, which of the following is the value of xy? A. 2 B. 4 C. 8 D. 10 E. 20 Answer: ---------------------------------------------------------------------------------------------------------------------- Q24: If ab = 1, what is the value of (axb)(ayb)? (1) ax = by = 2 (2) 2xy = 4 ---------------------------------------------------------------------------------------------------------------------- Q25: Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January? 8

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---------------------------------------------------------------------------------------------------------------------- Q26: If positive integer x is a multiple of 6 and positive integer y is a multiple of 14, is xy a multiple of 105? (1) x is a multiple of 9. (2) y is a multiple of 25. ---------------------------------------------------------------------------------------------------------------------- Q27: R, S, T, and U are points on a line, and U is the midpoint of line segment ST. If the lengths of line segments RS, RT, and ST are 20, 4, and 24, respectively. What is the length of line segment RU? A. 6 B. 8 C. 12 D. 14 E. 16 Answer: ---------------------------------------------------------------------------------------------------------------------- Q28: Each of the 30 boxes in a certain shipment with either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 14 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed? ---------------------------------------------------------------------------------------------------------------------- Q29: 9
The sum of all the integers k such that –26 < k < 24 is A. 0 B. -2 C. -25 D. -49 E. -51 ---------------------------------------------------------------------------------------------------------------------- Q30: M = {-6, -5, -4, -3, -2} T = {-2, -1, 0, 1, 2, 3} If an integer is to be randomly selected from set M above and an integer is to be randomly selected from set T above, what is the probability that the product of the two integers will be negative? ---------------------------------------------------------------------------------------------------------------------- Q31: A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 200 feet. What is its area, in square feet? ----------------------------------------------------------------------------------------------------------------------

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