PREP07 Test 2
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If m is a positive odd integer between 2 and 30, then m is divisible by how many different positive prime numbers?(1) m is not divisible by 3.(2) m is not divisible by 5.
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PREP07 Test 2
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For each hour at his part-time job, Jack is paid $0.05 per box for the first 100 boxes of apples packed and $0.07 for each additional box of apples packed. If Jack packed 125 boxes of apples in one hour, how much was he paid for that hour?
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PREP07 Test 2
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If k is an integer greater than 1, is k equal to 2^r for some positive integer r ?(1) k is divisible by 2^6.(2) k is not divisible by any odd integer greater than 1.
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PREP07 Test 2
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Of the 200 members of a certain association, each member who speaks German also speaks English, and 70 of the members speak only Spanish. If no member speaks all three languages, how many of the members speak two of the three languages? (1) 60 of the members speak only English.(2) 20 of the members do not speak any of the three languages.
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PREP07 Test 2
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If the probability that event S will not occur is 1 - y, then the probability that event S will occur is
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PREP07 Test 2
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If a, b, and c are integers, what is the value of a ? (1) (a - 7)(b - 7)(c - 7) = 0 (2) bc = 18
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PREP07 Test 2
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The table shows the number of residents in a certain development who are willing to contribute to build a swimming pool, provided the required contribution does not exceed the amount indicated by the resident. The following three amounts are being considered as the required contribution. Which would ensure that more than half of the residents contribute to build the pool? Ⅰ.$33 Ⅱ.$48 Ⅲ.$55
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PREP07 Test 2
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An antique dealer bought a coffee table that was then sold for a profit. What was the selling price of the coffee table?(1) The dealer's cost for the coffee table was $340. (2) The dealer's gross profit on the coffee table was 15% of the selling price.
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PREP07 Test 2
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According to a financial analyst, if Company C sets the unit selling price of its product at x dollars, then its monthly profit P, in dollars, is given by the formula P = 1,000(4x - x^2 - 2). According to this formula, at what amount should Company C set the unit selling price of its product so that its monthly profit is $2,000 ?
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PREP07 Test 2
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Helen, Jim, and Ivan each purchased some books at a bookstore. Helen purchased 4 books and Jim purchased 1 book. If the 3 people purchased an average (arithmetic mean) of 2 books per person, how many books did Ivan purchase?
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PREP07 Test 2
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Is $$x^4+y^4>z^4$$ ?(1) $$x^2+y^2>z^2$$(2) x + y > z
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PREP07 Test 2
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In the xy-plane, the line k passes through the origin and through the point (a, b), where ab ≠ 0. Is b positive?(1) The slope of line k is negative.(2) a > b
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PREP07 Test 2
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Denise made 9 sales calls on Monday, 6 sales calls on Tuesday, 7 sales calls on Wednesday, 9 sales calls on Thursday, and 11 sales calls on Friday. What was the average (arithmetic mean) number of sales calls that Denise made for these 5 days?
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PREP07 Test 2
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The numbers of books read by 7 students last year were 10, 5, p, q, r, 29, and 20. What was the range of the numbers of books read by the 7 students last year? (1) 5 < p < q (2) p < r < 15
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PREP07 Test 2
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Each day Linda spends 6 hours at her baby-sitting job, for which she is paid $15.00 per hour. In addition, Linda spends a total of 1.5 hours each day, for which she is not paid, traveling to and from the job. What is Linda's hourly rate of pay for the total amount of time that she spends each day at her baby-sitting job and traveling to and from that job?
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PREP07 Test 2
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Is the positive integer j divisible by a greater number of different prime numbers than the positive integer k ?(1) j is divisible by 30. (2) k = 1,000
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PREP07 Test 2
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A certain class, consisting of a lecture and a question-and-answer session, lasted from 2:45 to 4:30 one afternoon. If the lecture lasted from 2:45 to 4:15, then the question-and-answer session was what fraction of the total class time?
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PREP07 Test 2
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Is xy > 0 ? (1) x - y > -2 (2) x - 2y < -6
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PREP07 Test 2
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$${(1001^2-999^2)}\over{(101^2-99^2)}=$$?
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PREP07 Test 2
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If x - y > 10, is x - y > x + y ? (1) x = 8 (2) y = -20
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