PREP模考试卷04

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题目详情

题号 题目内容 平均正确率 操作
PS-9e2ojk
The function f is defined for each positive three-digit integer n by [math]f(n)=2^x3^y5^z[/math], where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-... 76%

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DS-452bak
Are all of the numbers in a certain list of 15 numbers equal?[br/](1)The sum of all the numbers in the list is 60.[br/](2)The sum of any 3 numbers in the list is 12. 81%

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PS-342uqk
[img]20120407195048426_3698.jpg[/img][br/]The number line shown contains three points R, S, and T, whose coordinates have absolute values r, s, and t, respectively. Which of the following equals th... 83%

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DS-1a2ack
Each week a certain salesman is paid a fixed amount equal to $300, plus a commission equal to 5 percent of the amount of his sales that week over $1,000. What is the total amount the salesman was p... 81%

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DS-9f1vrk
What is the value of [math](3^(-(x + y))) /( 3^(-(x - y)))[/math]?[br/](1)x = 2[br/](2)y = 3 76%

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DS-292bnk
What is the value of [math](2t+t-x)/(t-x)[/math][br/](1)[math]2t/(t-x)[/math]=3[br/](2)t-x=5 87%

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PS-13353k
[math]0.99999999/1.0001 - 0.99999991/1.0003=[/math] 58%

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DS-562sik
What is the remainder when the sum of the positive integers x and y is divided by 6?[br/](1) When x is divided by 6, the remainder is 3.[br/](2) When y is divided by 6, the remainder is 1. 89%

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DS-452rxk
How many different factors does the integer n have?[br/](1) [math]n=a^4b^3[/math], where a and b are different positive prime numbers.[br/](2) The only positive prime numbers that are factors of n ... 67%

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PS-292gnk
In a nationwide poll, N people were interviewed.If [math]1/4[/math] of them answered "yes" to question 1, and of those, [math]1/3[/math] answered "yes" to question 2, which ofthe following expressi... 53%

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PS-e22kak
If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x =[math]2^i3^k5^m7^p[/math], then i + k + m + p = 88%

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PS-ae2w0k
Which of the following is closest to [math]10^(180) – 10^(30)[/math] ? 89%

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DS-2527dk
In Jefferson School, 300 students study French or Spanish or both. If 100 of these students do not study French, how many of these students study both French and Spanish?[br/](1)Of the 300 students... 80%

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PS-2a2djk

The temperatures in degrees Celsius recorded at 6 in the morning in various parts of a certain country were 10°, 5°, -2°, -1°, -5°, and 15°. What is the median of these t...

93%

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PS-212ihk
A rectangular circuit board is designed to have width w inches, perimeter p inches, and area k square Inches. Which of the following equations must be true? 90%

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PS-b42cyk
A car dealer sold x used cars and y new cars during May. If the number of used cars sold was 10 greater than the number of new cars sold, which of the following expresses this relationship? 81%

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PS-ab2dkk
If[math]y((3x-5)/2)=y[/math] and [math]y!=0[/math],then x= 91%

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DS-351y3k
If a and b are integers, is b even?[br/](1)3a + 4b is even.[br/](2)3a + 5b is even. 75%

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DS-8633lk
The average (arithmetic mean) price of the 3 items that Kate purchased from a clothing store was $50. If there was no sales tax on any item that had a price of less than $80 and 6 percent sales tax... 85%

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DS-fa33hk
If the sequence S has 300 terms, what is the 293rd term of S?[br/](1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.[br/](2) The first term of S ... 92%

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DS-cb1uzk
What is the probability that a student randomly selected from a class of 60 students will be a male who has brown hair?[br/](1)One-half of the students have brown hair.[br/](2)One-third of the stud... 70%

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DS-dc1tpk
Mary persuaded n friends to donate $500 each to her election campaign, and then each of these n friends persuaded n more people to donate $500 each to Mary’s campaign. If no one donated more than o... 74%

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DS-b728wk
If x, y, and z are positive integers, is x - y odd?[br/](1)x = [math]z^2[/math][br/](2)y = [math](z-1)^2[/math] 87%

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PS-6024kk

[math]C_(m,n) = (m!) / [(m-n)! n!][/math] for nonnegative integers m and n, m ≥ n. If [math]C_(5,3) = C_(5,x)[/math] and x ≠ 3, what is the value of x?

96%

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DS-9d2axk
A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were i... 64%

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PS-d32jgk
If y is an integer, then the least possible value of |23 - 5y| is 82%

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DS-c228qk

If m > 0 and n > 0, is [math](m+x)/(n+x)>m/n[/math][br/](1)m<n[br/](2)x>0

76%

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DS-db2q3k
Is the integer n even?[br/](1) n – 5 is an odd integer.[br/](2) n/5 is an even integer. 89%

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DS-bc1wrk
Is x > k?[br/](1)[math]2^x*2^K=4[/math][br/](2)[math]9^X*3^K=81[/math] 83%

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DS-1d28pk
If x is an integer, is [math]9^x + 9^(-x)[/math] = b ?[br/](1)[math]3^x + 3^(-x) = sqrt(b+2)[/math][br/](2)x > 0 88%

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DS-211vlk
What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?[br/](1)The average height of the students in class X is 120 centimeter... 75%

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PS-9a2h9k
In the formula V =[math]1/((2r)^3)[/math],if r is halved, then V is multiplied by 77%

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DS-e91ujk
Division R of Company Q has 1,000 employees. What is the average (arithmetic mean) annual salary of the employees at Company Q?[br/](1)The average annual salary of the employees in Division R is $3... 90%

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PS-281zfk
A certain computer program generates a sequence of numbers [math]a_1[/math], [math]a_2[/math], … , an such that [math]a_1 = a_2 = 1[/math] and [math]a_k=a_(k-1)+2a_(k-2)[/math] for all integers k s... 92%

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PS-1c36pk
A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change? 81%

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PS-c720zk
A certain machine produces 1,000 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 7 days? 98%

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PS-8e24mk

The sum of three integers is 40. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers?

95%

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