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If Diana’s stamp collection, $$\frac{4}{5}$$ of the stamps are Canadian, and $$\frac{3}{7}$$ of the Canadian stamps were issued before 1940. If 192 stamps in Diana’s collection are Canadian stamps that were issued in 1940 or later, how many stamps in her collection are not Canadian?
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A certain right circular cylinder has a radius of 5 inches. There is a kind of liquid filled in this cylinder to the height of 9 inches. If this liquid is poured completely into a second right cylinder, then the liquid will fill the second cylinder to the height of 4 inches. What is the radius of the second cylinder, in inches?
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A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?(1) If each of the salespeople sales 4 of the cars, 23 cars will remain unsold.(2) If each of the salespeople sales 6 of the cars, 5 cars will remain unsold.
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The membership of a committee consists of 3 English teachers, 4 Mathematics teachers, and 2 Social Studies teachers. If 2 committee members are to be selected at random to write the committee’s report, what is the probability that the two members selected will both be English teachers?
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For each positive integer n, the integer n* is defined by $$ n^* = {n}^{2}$$ + 1. What is the value of the positive integer k ?(1) When k is divided by 4, the remainder is 1.(2) $$18 \leq k^* \leq 36$$
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The tens digit of positive integer X is 3. Is the units digit of X greater than 4?(1) The units digit of 2X is less than the units digit of X.(2) The tens digit of 2X is 7.
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If ¼ of the larger of two numbers is greater than 5 times the smaller of the same two numbers, is the smaller number less than 4?(1) The larger number is greater than 70.(2) The larger number is less than 80.
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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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Of the mutual funds on a select list, $$\frac{1}{3}$$ have 5-star ratings, and $$\frac{2}{5}$$ of the remaining funds have 4-star ratings. If the remaining 300 funds on the list have 3-star ratings, how many funds are on the list?
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In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?
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In a nationwide poll, N people were interviewed.If $$\frac{1}{4}$$ of them answered "yes" to question 1, and of those, $$\frac{1}{3}$$ answered "yes" to question 2, which of the following expressions represents the number of people interviewed who did not answer "yes" to both questions?
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Magoosh
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Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
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Magoosh
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If n = 2×3×5×7×11×13×17, then which of the following statements must be true?I. $$n^{2}$$ is divisible by 600
II. n + 19 is divisible by 19III.$$\frac{n+4}{2}$$ is even
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What is the maximum number of sheep that Ruben's pen will hold?1. If 8 sheep are removed from the pen when it is$$\frac{2}{3}$$ full, the number of sheep in the pen will decrease by $$\frac{1}{4}$$.2. Currently, there are 12 sheep in the pen.
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PREP07 Test 2
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The numbers x and y are not integers. The value of x is closest to which integer?(1) 4 is the integer that is closest to x + y.(2) 1 is the integer that is closest to x - y.
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To reduce its stock of disposable contact lenses, a pharmacy sells 7 boxes for the price of 4. Given that a customer buys 7 boxes, approximately, what is the amount that she saves as a percent of what she would have spent?
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The average (arithmetic mean) salary of 15 people in the shipping department at a certain firm is $20,000. The salary of 5 of the employees is $25,000 each and the salary of 4 of the employees is $16,000 each. What is the average salary of the remaining employees?
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PREP07 Test 1
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For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence for which the product of the two consecutive terms is negative. What is the number of variations in sign for the sequence 1, -3, 2, 5, -4, -6 ?
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