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PREP07 Test 1
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Pumps A, B, and C operate at their respective constant rates. Pumps A and B, perating simultaneously, can fill a certain tank in 6/5 hours; pumps A and C, operating simultaneously, can fill the tank in 3/2 hours; and pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and
C, operating simultaneously, to fill the tank?
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PREP07 Test 1
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If the product of the three digits of the positive integer k is 14, what is the value of k?(1)k is an odd integer.(2)k ＜ 700
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PREP07 Test 1
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Which of the following equations is NOT equivalent to $${4}{x}^{2}={y}^{2}-{9}$$
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PREP07 Test 1
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On a certain day, Tim invested $1,000 at 10 percent annual interest, compounded annually, and Lana invested $2,000 at 5 percent annual interest, compounded annually. The total amount of interest earned by Tim's investment in the first 2 years was how much greater than the total amount of interest earned by Lana's investment in the first 2 years?
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PREP07 Test 1
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Of the 75 houses in a certain community, 48 have a patio. How many of the houses in the community have a swimming pool?(1) 38 of the houses in the community have a patio but do not have a swimming pool.(2) The number of houses in the community that have a patio and a swimming pool is equal to the number of houses in the community that have neither a swimming pool nor a patio.
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PREP07 Test 1
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A basket contains 5 apples, of which 1 is spoiled and the rest are good. If Henry is to select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
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PREP07 Test 1
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The attendees at a certain convention purchased a total of 15,000 books. How many of these attendees were female?(1) There was a total of 4,000 attendees at the convention.(2) The male attendees purchased an average (arithmetic mean) of 3 books each, and the female attendees purchased an average of 5 books each.
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PREP07 Test 1
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A certain state levies a 4 percent tax on the nightly rates of hotel rooms. A certain hotel in this state also charges a $2.00 nightly fee per room, which is not subject to tax. If the total charge for a room for one night was $74.80, what was the nightly rate of the room?
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PREP07 Test 1
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If x and y are positive integers, what is the value of x + y ?(1) $$2^x3^y = 72$$(2) $$2^x2^y = 32$$
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PREP07 Test 1
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Peter and Tom shared the driving on a certain trip. If Peter and Tom both drove for the same amount of time, but Peter only drove $$\frac{2}{5}$$ of the total distance, what was the ratio of Peter's average speed to Tom's average speed?
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PREP07 Test 1
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What is the value of h?(1) $$h^2 = 36$$(2) $$h^2 + 12h = -36$$
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PREP07 Test 1
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At what simple annual interest rate must $2,500 be invested if it is to earn $225 in interest in one year?
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PREP07 Test 1
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How many odd integers are greater than the integer x and less than the integer y ?(1) There are 12 even integers greater than x and less than y. (2) There are 24 integers greater than x and less than y.
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PREP07 Test 1
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Jason's salary and Karen's salary were each p percent greater in 1998 than in 1995. What is the value of p ?(1) In 1995 Karen's salary was $2,000 greater than Jason's. (2) In 1998 Karen's salary was $2,440 greater than Jason's.
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PREP07 Test 1
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Did one of the 3 members of a certain team sell at least 2 raffle tickets yesterday?(1) The 3 members sold a total of 6 raffle tickets yesterday.(2) No 2 of the members sold the same number of raffle tickets yesterday.
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PREP07 Test 1
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If s and t are two different numbers on the number line, is s + t equal to 0 ?(1) The distance between s and 0 is the same as the distance between t and 0.(2) 0 is between s and t.
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PREP07 Test 1
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Of the 1,000 companies responding to a certain survey, what percent indicated that they had a business recovery plan?(1) 200 of the companies did not indicate that they had a business recovery plan.(2) The number of companies that indicated that they had a business recovery plan was 4 times the number that did not indicate that they had a business recovery plan
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PREP07 Test 1
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Martha bought an armchair and a coffee table at an auction and sold both items at her store. Her gross profit from the purchase and sale of the armchair was what percent greater than her gross profit from the purchase and sale of the coffee table?(1) Martha paid 10 percent more for the armchair than for the coffee table.(2) Martha sold the armchair for 20 percent more than she sold the coffee table.
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PREP07 Test 1
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Each employee of Company Z is an employee of either Division X or Division Y, but not both. If each division has some part-time employees, is the ratio of the number of full-time employees to the number of part-time employees greater for Division X than for Company Z ?(1) The ratio of the number of full-time employees to the number of part-time employees is less for Division Y than for Company Z.(2) More than half of the full-time employees of Company Z are employees of Division X, and more than half of the part-time employees of Company Z are employees of Division Y.
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PREP07 Test 1
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What is the remainder when the positive integer x is divided by 6?(1) When x is divided by 2, the remainder is 1; and when x is divided by 3, the remainder is 0.(2) When x is divided by 12, the remainder is 3.
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