MATH.14

Q15 if p is the product of the integers from 1 to 30

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Q15: If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3 k is a factor of p ? A. 10 B. 12 C. 14 D. 16 E. 18 Answer: ------------------------------------------------------------------------------------------------------------ Q16: If x and y are positive, is x 3 > y ? (1) x > y 5

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(2) x > y ------------------------------------------------------------------------------------------------------------ Q17: If x , y , and k are positive numbers such that ( y x x + )(10) + ( y x y + )(20) = k and if x < y , which of the following could be the value of k ? ------------------------------------------------------------------------------------------------------------ Q18: What is the value of the integer k ? (1) k + 3 > 0 (2) k 4 0 ------------------------------------------------------------------------------------------------------------ Q19: Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and 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? A. 4 B. 6 C. 10 D. 20 E. 24 6
Answer: ------------------------------------------------------------------------------------------------------------ Q20: Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was \$120,000. What was the median price of the three houses? (1) The price of Tom’s house was \$110,000. (2) The price of Jane’s house was \$120,000. ------------------------------------------------------------------------------------------------------------ Q21: The results of a certain experiment included 6 data values that were all multiples of the same number c , namely, c , 8 c , 2 c , 5 c , 4 c , and 4 c . Was the average (arithmetic mean) of the 6 data values greater than 8? (1) c < 4 (2) c > 2 ------------------------------------------------------------------------------------------------------------

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