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# math.30 - MATH-Q1 If Henry were to add 5 gallons of water...

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MATH ---------------------------------------------------------------------------------------------------------------------- Q1: If Henry were to add 5 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full? A. 25 B. 40 C. 64 D. 80 E. 96 Answer: ---------------------------------------------------------------------------------------------------------------------- Q2: The function f is defined for each positive three-digit integer n by f(n) = 2 x 3 y 5 z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 9f(v), then m-v = ? A. 8 B. 9 C. 18 D. 20 E. 80 Answer: ---------------------------------------------------------------------------------------------------------------------- Q3: At a certain food stand, the price of each apple is ¢ 40 and the price of each orange is ¢ 60. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is ¢ 56. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is ¢ 52? ---------------------------------------------------------------------------------------------------------------------- Q4: Professor Vasquez gave a quiz to two classes. Was the range of scores for the first class equal to the range of scores for the second class? (1) In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70. (2) In each class, the average (arithmetic mean) score on the quiz was 85.

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---------------------------------------------------------------------------------------------------------------------- Q5: If x and y are positive integers, what is the value of x? (1) 3 x 5 y = 1,125 (2) y = 3 ---------------------------------------------------------------------------------------------------------------------- Q6: If d - 9 = 2d, then d = A. -9 B. -3 C. 1 D. 3 E. 9 Answer: ---------------------------------------------------------------------------------------------------------------------- Q7: There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible? ---------------------------------------------------------------------------------------------------------------------- Q8:
In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square? ----------------------------------------------------------------------------------------------------------------------

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