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At a certain company, 25 percent of the employees are male and 50 percent of the employees are sales staff. What is the number of employees at this company?(1) Exactly 7 of the employees at the company are males who are sales staff.(2) There are 16 more female employees than male employees at the company.
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If $${2}^{x}+{2}^{x}+{2}^{x}+{2}^{x}={2}^{n}$$, what is x in terms of n?
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PREP07 Test 1
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 If m lies between the integers p and s on the number line shown, which of the following is a possible value for m?
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代数
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If –4 < x < 7 and –6 < y < 3, which of the following specifies all the possible values of xy?
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PREP07 Test 2
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A certain restaurant offers 6 kinds of cheese and 2 kinds of fruit for its dessert platter. If each dessert platter contains an equal number of kinds of cheese and kinds of fruit, how many different dessert platters could the restaurant offer?
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Company K has an annual budget for a certain project, and $$\frac{1}{5}$$ of this budget was spent during the first quarter of the year. If $$\frac{1}{8}$$of the remainder of the budget was spent during the second quarter, what fraction of the budget was left at the end of the second quarter?
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 The circle shown has center R. If arc UST has length 48π, what is the radius of the circle?
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A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 2 inches wide on each side, the total area would have been (M + 52) square inches. What is the perimeter of the photograph, in inches?
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A salesperson received a 6-percent commission on the amount of total sales up to and including $10,000, and an r-percent commission on the amount of total sales over $10,000. If the salesperson received a total commission of $920 on total sales of $14,000, what was the value of r?
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In the xy-plane, what is the x-intercept of the line whose equation is 3y – 4x = 15?
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If four of the five integers in a list are 10, 2, 8, and 5, what is the fifth integer?(1) The product of the five integers is 0.(2) The sum of the five integers is 25.
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A certain state has a sales tax of 5 percent on the portion of a purchase price that is greater than $100. If a customer paid a sales tax of $4 on a particular item, what was the purchase price of the item?
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How many different factors does the integer n have? (1) $${n}={a}^{4}{b}^{3}$$, where a and b are different positive prime numbers. (2) The only positive prime numbers that are factors of n are 5 and 7.
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The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?(1) The total number of women and children in the room is 12.(2) There are fewer than 4 men in the room.
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How many years did Dr. Jones live?(1) If Dr. Jones had become a doctor 10 years earlier than he did, he would have been a doctor for exactly $$\frac{2}{3}$$ of his life.(2) If Dr. Jones had become a doctor 10 years later than he did, he would have been a doctor for exactly $$\frac{1}{3}$$ of his life.
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When 15n, where n is a positive integer, is divided by 6, the remainder is x. What is the value of x?(1) When n is divided by 2, the remainder is 0.(2) When n is divided by 3, the remainder is 0.
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PREP07 Test 2
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One kilogram of a certain coffee blend consists of x kilogram of type I coffee and y kilogram of type II coffee. The cost of the blend is C dollars per kilogram, where C = 6.5x + 8.5y. Is x<0.8?(1) y>0.15(2) $$C\ge7.30$$
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The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 16, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers?
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In isosceles triangle PQR, if the measure of angle P is 80º, which of the following could be the measure of angle R?I. 20ºII. 50ºIII. 80º
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what is 35 percent of the sum of 1.4 and $$\frac{1}{5}$$?
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