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PREP07 Test 2
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Is the average (arithmetic mean) of 5 different positive integers at least 30 ?(1) Each of the integers is a multiple of 10. (2) The sum of the 5 integers is 160.
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PREP07 Test 2
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If mv < pv < 0, is v > 0 ? (1) m < p (2) m < 0
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PREP07 Test 2
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Greta and Randy collected bottles to be recycled. How many bottles did Randy collect?(1) Greta and Randy collected a total of 85 bottles. (2) Greta collected 15 more bottles than Randy did.
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PREP07 Test 2
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In 1995 Division A of Company X had 4,850 customers. If there were 86 service errors in Division A that year, what was the service-error rate, in number of service errors per 100 customers, for Division B of Company X in 1995 ?
(1) In 1995 the overall service-error rate for Divisions A and B combined was 1.5 service errors per 100 customers. (2) In 1995 Division B had 9,350 customers, none of whom were customers of Division A.
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PREP07 Test 2
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 In the figure shown, point O is the center of the semicircle and points B, C, and D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO ?(1) The degree measure of angle COD is 60. (2) The degree measure of angle BCO is 40.
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PREP07 Test 2
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Working independently at their respective constant rates, pumps X and Y took 48 minutes to fill an empty tank with water. What fraction of the water in the full tank came from pump X ? (1) Working alone at its constant rate, pump X would have taken 80 minutes to fill the tank with water.(2) Working alone at its constant rate, pump Y would have taken 120 minutes to fill the tank with water.
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PREP07 Test 2
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If m and r are two numbers on a number line, what is the value of r ? (1) The distance between r and 0 is 3 times the distance between m and 0 . (2) 12 is halfway between m and r.
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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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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 recent lunch meeting at a certain club was attended by members and guests. Each member paid $4 for the lunch, and each guest paid $8 for the lunch. How many of the people attending the meeting were members? (1) A total of 20 people attended the meeting. (2) A total of $92 was paid for the lunch.
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PREP07 Test 2
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The integers m and p are such that 2 < m < p and m is not a factor of p. If r is the remainder when p is divided by m, is r > 1 ? (1) The greatest common factor of m and p is 2. (2) The least common multiple of m and p is 30.
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PREP07 Test 2
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What is the result when x is rounded to the nearest hundredth? (1) When x is rounded to the nearest thousandth the result is 0.455. (2) The thousandths digit of x is 5.
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PREP07 Test 2
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What was a certain company's revenue last year? (1) Last year the company's gross profit was $4,100. (2) Last year the company's revenue was 50 percent greater than its expenses.
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PREP07 Test 2
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In 1984 a certain union had a total of 15,600 members. Was the percent increase in the total number of members in the union from 1984 to 1985 greater than that from 1985 to 1986 ?(1) From 1984 to 1985 the total number of members in the union increased by 781, and from 1985 to 1986 the total number of members in the union again increased by 781. (2) In 1985 the union had a total of 16,381 members, and in 1986 the union had a total of 17,162 members.
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PREP07 Test 2
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At a certain theater, the cost of each adult's ticket is $5 and the cost of each child's ticket is $2. What was the average (arithmetic mean) cost of all the adults' and children's tickets sold at the theater yesterday? (1) Yesterday the ratio of the number of children's tickets sold at the theater to the number of adults' tickets sold at the theater was 3 to 2. (2) Yesterday 80 adults' tickets were sold at the theater.
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PREP07 Test 1
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A certain one-day seminar consisted of a morning session and an afternoon session. If each of the 128 people attending the seminar attended at least one of the two sessions, how many of the people attended the morning session only?(1) 3/4 of the people attended both sessions.(2) 7/8 of the people attended the afternoon session.
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PREP07 Test 1
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In a certain conference room each row of chairs has the same number of chairs, and the number of rows is 1 less than the number of chairs in a row. How many chairs are in a row?(1) There is a total of 72 chairs.(2) After 1 chair is removed from the last row, there is a total of 17 chairs in the last 2 rows.
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PREP07 Test 1
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At a refreshment stand, each can of soda sells for the same price and each sandwich sells for the same price. What is the total price for 2 sandwiches and 3 cans of soda at the stand?(1) At the stand the total price for 1 sandwich and 1 can of soda is $3.(2) At the stand the total price for 3 sandwiches and 2 cans of soda is $8.
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PREP07 Test 1
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Al, Pablo, and Marsha shared the driving on a 1,500-mile trip. Which of the three drove the greatest distance on the trip?
(1) Al drove 1 hour longer than Pablo but at an average rate of 5 miles per hour slower than Pablo.(2) Marsha drove 9 hours and averaged 50 miles per hour.
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PREP07 Test 1
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How many hours did it take Helen to drive from her house to her parents' house?(1) Helen's average speed on this trip was 72 kilometers per hour.(2) If Helen's average speed on this trip had been 8 kilometers per hour greater, it would have taken her 1 hour less.
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