|
PREP07 Test 2
|
In a class of 30 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. If the average (arithmetic mean) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed?
|
|
PREP07 Test 2
|
One morning Emily recorded the time that it took to read each of her e-mail messages. The times, in seconds, were 32, 18, 20, 29, and 21. How many seconds greater was the average (arithmetic mean) time than the median time?
|
|
PREP07 Test 2
|
If r is the remainder when the positive integer n is divided by 7, what is the value of r ?(1) When n is divided by 21, the remainder is an odd number.(2) When n is divided by 28, the remainder is 3.
|
|
PREP07 Test 2
|
For all numbers a and b, the operation # is defined by a # b = 2a + 2b + 1. What is the value of 6 # 1 ?
|
|
PREP07 Test 2
|
If w, x, y, and z are integers such that w/x and y/z are integers, is w/x + y/z odd?(1) wx + yz is odd.(2) wz + xy is odd.
|
|
PREP07 Test 2
|
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.
|
|
PREP07 Test 2
|
Company P's cost c, in dollars, of producing n units of a certain product is c = 2.5n + 25,000. What is the greatest number of units that Company P can produce if the cost of producing these units cannot exceed $200,000 ?
|
|
PREP07 Test 2
|
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.
|
|
PREP07 Test 2
|
If @ denotes one of the four arithmetic operations addition, subtraction, multiplication and division, what is the value of 1 @ 2 ? (1) n @ 0 = n for all integers n. (2) n @ n = 0 for all integers n.
|
|
PREP07 Test 2
|
Warehouse W's revenue from the sale of sofas was what percent greater this year than it was last year? (1) Warehouse W sold 10 percent more sofas this year than it did last year. (2) Warehouse W's selling price per sofa was $30 greater this year than it was last year.
|
|
PREP07 Test 2
|
If d is a positive integer and f is the product of the first 30 positive integers, what is the value of d ?(1) (10)^d is a factor of f.(2) d > 6
|
|
PREP07 Test 2
|
If k is a line in the xy-plane, what is the slope of k ?(1) The x-intercept of k is 2. (2) The y-intercept of k is 3.
|
|
PREP07 Test 2
|
The numbers x and y are not integers. The value of x is closest to which integer?(1) 4 is the integer that is closest to x + y.(2) 1 is the integer that is closest to x - y.
|
|
PREP07 Test 2
|
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.
|
|
PREP07 Test 2
|
If Mary always takes the same route to work, how long did it take Mary to get to work on Friday? (1) It took Mary 20 minutes to get to work on Thursday. (2) Mary's average speed on her trip to work was 25 percent greater on Thursday than it was on Friday.
|
|
PREP07 Test 2
|
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.
|
|
PREP07 Test 2
|
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.
|
|
PREP07 Test 2
|
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.
|
|
PREP07 Test 2
|
At a certain store, each notepad costs x dollars and each marker costs y dollars. If $10 is enough to buy 5 notepads and 3 markers, is $10 enough to buy 4 notepads and 4 markers instead? (1) Each notepad costs less than $1. (2) $10 is enough to buy 11 notepads.
|
|
PREP07 Test 2
|
The cost of each adult's ticket for a certain concert was $30, and the cost of each child's ticket for the concert was $24. If Hannah purchased tickets for this concert, what was the average (arithmetic mean) cost per ticket? (1) Hannah purchased twice as many children's tickets as adults' tickets. (2) Hannah purchased 4 children's tickets.
|