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PREP07 Test 1
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If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?(1) n + 1 is divisible by 3.(2) n > 20
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PREP07 Test 1
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Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it. If one ball is to be selected at random from the box, what is the probability that the ball selected will either be white or have an even number painted on it?(1) The probability that the ball will both be white and have an even number painted on it is 0.(2) The probability that the ball will be white minus the probability that the ball will have an even number painted on it is 0.2.
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PREP07 Test 1
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Linda put an amount of money into each of two new investments, A and B, that pay simple annual interest. If the annual interest rate of investment B is 1.5 times that of investment A, what amount did Linda put into investment A ?(1) The interest for 1 year is $50 for investment A and $150 for investment B.(2) The amount that Linda put into investment B is twice the amount that she put into investment A.
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PREP07 Test 1
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Of the 1,400 college teachers surveyed, 42 percent said that they considered engaging in research an essential goal. How many of the college teachers surveyed were women?(1) In the survey, 36 percent of the men and 50 percent of the women said that they considered engaging in research an essential goal.(2) In the survey, 288 men said that they considered engaging in research an essential goal.
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PREP07 Test 1
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If x, y, and z are integers and xy + z is an odd integer, is x an even integer?(1) xy + xz is an even integer.(2) y + xz is an odd integer.
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PREP07 Test 1
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On the number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line?(1) xyz < 0(2) xy < 0
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PREP07 Test 1
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Is |x - y | > |x | - |y | ?(1) y < x(2) xy < 0
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PREP07 Test 1
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If m, k, x, and y are positive numbers, is mx + ky > kx + my ?(1) m > k(2) x > y
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PREP07 Test 1
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The sum of the integers in list S is the same as the sum of the integers in list T. Does S contain more integers than T ?(1) The average (arithmetic mean) of the integers in S is less than the average of the integers in T.(2) The median of the integers in S is greater than the median of the integers in T.
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PREP07 Test 1
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The positive integers x, y, and z are such that x is a factor of y and y is a factor of z. Is z even?(1) xz is even.
(2) y is even.
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PREP07 Test 1
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Jack and Mark both received hourly wage increases of 6 percent. After the wage increases, Jack's hourly wage was how many dollars per hour more than Mark's? (1) Before the wage increases, Jack's hourly wage was $5.00 per hour more than Mark's.(2) Before the wage increases, the ratio of Jack's hourly wage to Mark's hourly wage was 4 to 3.
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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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. The cost to park a car in a certain parking garage is $8.00 for up to 2 hours of parking and $1.75 for each hour in excess of 2 hours. What is the average (arithmetic mean) cost per hour to park a car in the parking garage for 9 hours?
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PREP07 Test 1
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A boat traveled upstream a distance of 90 miles at an average speed of (v - 3) miles per hour and then traveled the same distance downstream at an average speed of (v + 3)miles per hour. If the trip upstream took half an hour longer than the trip downstream, how many hours did it take the boat to travel downstream?
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PREP07 Test 1
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At a repair shop, the total cost of a repair consists of the charge for parts and a charge of $22.00 per hour for labor. If the total cost of a certain repair at the shop was $249.75 and the charge for parts was $150.75, then the labor charge was for how many hours of labor?
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PREP07 Test 1
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Which of the following must be equal to $${x}^{6}{x}^{4}$$ ?
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PREP07 Test 1
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A certain scholarship committee awarded scholarships in the amounts of $1,250,$2,500, and $4,000. The committee awarded twice as many $2,500 scholarships as $4,000 scholarships, and it awarded three times as many $1,250 scholarships as $2,500 scholarships. If a total of $37,500 was awarded in $1,250 scholarships, how many $4,000
scholarships were awarded?
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PREP07 Test 1
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If x >$${y}^{2}$$ >$${z}^{4}$$, which of the following statements could be true?I. $$x >{y}>{z}$$II. $$z >{y}>{x}$$III.$$x>{z}>{y}$$
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PREP07 Test 1
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Of the 13 employees in a certain department, 1 has an annual salary of $38,000, 2 have an annual salary of $45,000 each, 2 have an annual salary of $42,500 each, 3 have an annual salary of $40,000 each, and 5 have an annual salary of $48,500 each. What is the median annual salary for the 13 employees?
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PREP07 Test 1
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In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 4 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump?
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