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PREP07 Test 2
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On the number line, the distance between point A and point C is 5 and the distance between point B and point C is 20. Does point C lie between point A and point B ?(1) The distance between point A and point B is 25. (2) Point A lies to the left of point B.
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PREP07 Test 2
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If n is a three-digit positive integer, what is the sum of the digits of n ?(1) The hundreds digit of n is 3 times the units digit. (2) The hundreds digit of n is 3 more than the tens digit.
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PREP07 Test 2
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The retail price of a certain refrigerator is 1.6 times its wholesale price. What is the difference between the retail price and the wholesale price of the refrigerator?
(1) The wholesale price of the refrigerator is $200.
(2) The retail price of the refrigerator is $320.
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PREP07 Test 2
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Tanya prepared 4 different letters to be sent to 4 different addresses. For each letter, she prepared an envelope with its correct address. If the 4 letters are to be put into the 4 envelopes at random, what is the probability that only 1 letter will be put into the envelope with its correct address?
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PREP07 Test 2
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in the xy-plane, each point on circle K has nonnegative coordinates and the center of K is the point (4, 7). What is the maximum possible area of K?
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PREP07 Test 2
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If a = 1 and$$\frac{(a-b)}{c}=1$$, which of the following is NOT a possible value of b ?
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PREP07 Test 2
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A company wants to buy computers and printers for a new branch office, and the number of computers can be at most 3 times the number of printers. Computers cost $1,500 each, and printers cost $300 each. What is the greatest number of computers that the company can buy if it has a total of $9,100 to spend on computers and printers?
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PREP07 Test 2
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A fast-food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the order of selection does not matter?
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PREP07 Test 2
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What is the greatest possible area of a triangular region with one vertex at the center of a circle of radius 1 and the other two vertices on the circle?
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PREP07 Test 2
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If n denotes a number to the left of 0 on the number line such that the square of n is less than $$\frac{1}{100}$$, then the reciprocal of n must be
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PREP07 Test 2
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A certain basket contains 10 apples, 7 of which are red and 3 of which are green. If 3 different apples are to be selected at random from the basket, what is the probability that 2 of the apples selected will be red and 1 will be green?
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PREP07 Test 2
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When N is divided by T, the quotient is S and the remainder is V. Which of the following expressions is equal to N ?
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PREP07 Test 2
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A certain company sold 1,000 blenders at $100 each and 10 stoves at $1,000 each. If the company's total cost for the blenders and stoves was $50,000, what was the company's total gross profit on these items?
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PREP07 Test 2
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Which of the following is equal to the average (arithmetic mean) of $$(x + 2)^2$$ and $$(x - 2)^2$$ ?
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PREP07 Test 2
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During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. She stopped again after she traveled $$\frac{1}{4}$$ of the distance remaining between her first stop and her destination, and then she drove the remaining 120 miles to her destination. What was the total distance, in miles, from Maria's starting point to her destination?
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PREP07 Test 2
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 If p, q, r, and s are as shown on the number line above, which of the following products is greatest?
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PREP07 Test 2
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If $$(2^x)(3^y) = 288$$, where x and y are positive integers, then $$(2^{x - 1})(3^{y - 2})$$=
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PREP07 Test 2
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A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at a constant rate of 20 miles per hour. The cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate. How many minutes must the cyclist wait until the hiker catches up?
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PREP07 Test 2
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A contest will consist of n questions, each of which is to be answered either "True" or "False." Anyone who answers all n questions correctly will be a winner. What is the least value of n for which the probability is less than 1/1000 that a person who randomly guesses the answer to each question will be a winner?
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PREP07 Test 2
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If $$(2^x)(2^y) = 8$$ and $$(9^x)(3^y) = 81$$, then (x, y) =
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