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PREP 07 Test 1

GMAT官方免费提供了GMAT模考软件GMATPrep，其界面与真实考试完全相同，但是我们只能做两套模拟题。有前辈发现GMATPrep中事实上内置了一个很大的题库，Prep破解即前辈从GMATPrep中还原出来的完整题库，全部属于真题，且有标准答案，是分项突破时很好的练习材料。 其中第一套共包含PS题目196 题。

1 A grocery store purchased crates of 40 oranges each for $5.00 per crate and then sold each orange for$0.20. What was the store's gross profit on each crate of oranges?
2 The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =
3 A certain taxi company charges $3.10 for the first $\frac{1}{5}$ of a mile plus$0.40 for each additional $\frac{1}{5}$ of a mile. What would this company charge for a taxi ride that was 8 miles long?
4 In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?
5 If $(\frac{1}{5})^{m}(\frac{1}{4})^{18}=\frac{1}{2(10)^{35}}$, then m =
6 The value of $\frac{10^9-10^4} {10^8-10^5}$ is closest to which of the following?
7 For every positive even integer n, the function h(n) is defined to be the product of all the even integers from 2 to n, inclusive. If p is the smallest prime factor of h(100) + 1, then p is
8 A flower arrangement consists of 30 roses, each of which is either white or red. If a rose is to be selected at random from the flower arrangement, the probability that the rose selected will be white is twice the probability that it will be red. How many white roses are in the flower arrangement?
9 Last year the range of the annual salaries of the 100 employees at Company X was $30,000. If the annual salary of each of the 100 employees this year is 10 percent greater than it was last year, what is the range of the annual salaries of the 100 employees this year? 10 If a = 7 and b = -7, what is the value of $2a - 2b + b^2$ ? 11 In the figure above, the radius of the circle with center O is 1 and BC = 1. What is the area of triangular region ABC ? 12 Last year a certain bond with a face value of$5,000 yielded 8 percent of its face value in interest. If that interest was approximately 6.5 percent of the bond's selling price,approximately what was the bond's selling price?
13 If m lies between the integers p and s on the number line shown, which of the following is a possible value for m?
14 $\frac{({8}^{2})({3}^{3})({2}^{4})}{96^2}$
15 At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles.If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
16 When $\frac{2}{3}$ of the garments in a shipment were inspected, 18 of the garments passed inspection and the remaining 2 garments failed How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?
17 In a certain board game, a stack of 48 cards, 8 of which represent shares of stock, are shuffled and then placed face down. If the first 2 cards selected do not represent shares of stock, what is the probability that the third card selected will represent a share of stock?
18 3 teaspoons = 1 tablespoon4 tablespoons = $\frac{1}{4}$ cupAccording to the information above, how many teaspoons are equal to $\frac{3}{8}$ cup?
19 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 ?
20 It takes Carlos 9 minutes to drive from home to work at an average rate of 22 miles per hour. How many minutes will it take Carlos to cycle from home to work along the same route at an average rate of 6 miles per hour?

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