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PREP07 Test 1
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If u, v, and w are integers, is u > 0 ?(1) $$u = v^2 + 1$$ (2) $$u = w^4 + 1$$
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PREP07 Test 1
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If p is a prime number greater than 2, what is the value of p ?(1) There are a total of 100 prime numbers between 1 and p + 1.(2) There are a total of p prime numbers between 1 and 3,912.
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PREP07 Test 1
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Is $${{1}\over{a-b}} \lt{b-a}$$?
(1) a < b.
(2) 1<|a-b|.
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PREP07 Test 1
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Is $$ \sqrt{\left (x-3\right) ^2} =3-x$$ (1)$$ x\neq 3$$ (2) –x |x| >0
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If the sum of three different numbers is 54, what is the largest number?(1) The largest number is twice the smallest number. (2) The sum of the two smaller numbers is 30.
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PREP07 Test 2
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7A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 7 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B ?
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PREP07 Test 2
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Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and the other jar 1/3 full. If the water in the jar with the lesser capacity is then poured into the jar with the greater capacity, what fraction of the larger jar will be filled with water?
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PREP07 Test 2
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Which of the following lists the number of points at which a circle can intersect a triangle?
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PREP07 Test 2
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A certain list of 100 data has an average (arithmetic mean) of 6 and a standard deviation of d, where d is positive. Which of the following pairs of data, when added to the list, must result in a list of 102 data with standard deviation less than d ?
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PREP07 Test 2
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If Sally drives at a constant speed of 50 miles per hour, how many minutes will be required for her to drive 10 miles?
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PREP07 Test 2
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 All points (x, y) that lie below the line l, shown above, satisfy which of the following inequalities?
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PREP07 Test 2
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 On the number line above, what is the length of segment AB ?
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PREP07 Test 2
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 For each country listed in the left column of the table, the number in the right column gives the number of units of Country X currency that is equivalent to 1 unit of the country's currency. Which of the following is equivalent to the greatest number of units of Country X currency?
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PREP07 Test 2
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If x = kc and y = kt, then y - x =
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PREP07 Test 2
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The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number then f(p) =
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PREP07 Test 2
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A college admissions officer predicts that 20 percent of the students who are accepted will not attend the college. According to this prediction, how many students should be accepted to achieve a planned enrollment of x students?
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PREP07 Test 2
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If a certain wheel turns at a constant rate of x revolutions per minute, how many revolutions will the wheel make in k seconds?
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PREP07 Test 2
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If two of the four expressions x + y, x + 5y, x - y, and 5x - y are chosen at random, what is the probability that their product will be of the form of $$x^2 - (by)^2$$, where b is an integer?
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PREP07 Test 2
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The sum of the first 50 positive even integers is 2,550. What is the sum of the even integers from 102 to 200, inclusive?
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PREP07 Test 2
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$$R=\frac{24\frac{F}{N}}{P+\frac{A}{12}}$$ A certain bank uses the formula above to approximate the annual percentage rate R of a monthly installment loan. Which of the following is an equivalent form of the formula?
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