ETS - PRACTICE SET 1
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Posts and Telecommunications Institute of Technology**We aren't endorsed by this school
Course
MATH 101
Subject
Mathematics
Date
Dec 27, 2024
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8
Uploaded by dinhhoa
PRACTICE SET 1Quantitative Comparison Questions Points R, S, and T lie on a number line, where S is between R and T. The distance between R and S is 6, and the distance between R and T is 15. 1. S is a set of 8 numbers, of which 4 are negative and 4 are positive. 2. The length of each side of rectangle R is an integer, and the area of R is 36. 3. x = (z –1)2y = (z +1)24. x, y, and z are the lengths of the sides of a triangle. 5.
At a club meeting, there are 10 more club members than nonmembers. The number of clubmembers at the meeting is c. 6. n is a positive integer that is greater than 3 and has d positive divisors. 7. m = 1032+ 2 When m is divided by 11, the remainder is r. 8. xy = 8 and x = y –2. 9. Multiple-choice Questions—Select One Answer Choice 10.The area of circle W is 16 πand the area of circle Z is 4 π.What is the ratio of the circumference of W to the circumference of Z ? 2 to 1 4 to 1 8 to 1 16 to 1 32 to 1 For Questions 10 to 17, select a single answer choice.
11.In the xy-plane, a quadrilateral has vertices at (–1, 4), (7, 4), (7, –5), and (–1, –5). What is theperimeter of the quadrilateral? 17 18 19 32 34 12.The table above shows the frequency distribution of the heights of 80 students. What is the leastpossible range of the heights of the 80 students? 15 16 20 24 28 13.Which of the following functions f defined for all numbers x has the property that f (–x) = –ƒ(x) for all numbers x ? f(x) = x2(x2–1) f (x) = x(x3–1) f(x) = x2(x3–1)
14.If 10xequals 0.1 percent of 10y, where x and y are integers, which of the following must betrue? y = x + 2y = x + 3x = y + 3y = 1,000xx = 1,000y 15.The figure above shows the standard normal distribution, with mean 0 and standard deviation 1, including approximate percents of the distribution corresponding to the six regions shown. The random variable Y is normally distributed with a mean of 470, and the value Y = 340 is at the 15th percentile of the distribution. Of the following, which is the best estimate of the standard deviation of the distribution? 125 135 145 155 165 16.A car dealer received a shipment of cars, half of which were black, with the remainder consisting of equal numbers of blue, silver, and white cars. During the next month, 70 percent of the black cars, 80 percent of the blue cars, 30 percent of the silver cars, and 40 percent of the white cars were sold. What percent of the cars in the shipment were sold during that month? 36% 50% 55% 60%
72% 17.If an investment of P dollars is made today and the value of the investment doubles every 7years, what will be the value of the investment, in dollars, 28 years from today? 8P4P4 16P 8P 4P Multiple-choice Questions—Select One or More Answer Choices 18.The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Which of the following numbers of hours are within 2 standard deviations of the mean of the distribution? Indicate all such numbers.2 5 10 14 16 20 19.In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is19, which of the following numbers are in the sequence? Indicate all such numbers.5 8 11 For Questions 18 to 19, select all the answer choices that apply.
16 22 35 Numeric Entry Questions 20.In a single line of people waiting to purchase tickets for a movie, there are currently 10 peoplebehind Shandra. If 3 of the people who are currently in line ahead of Shandra purchase tickets and leave the line, and no one else leaves the line, there will be 8 people ahead of Shandra inline. How many people are in the line currently? 21.When the decimal point of a certain positive decimal number is moved six places to the right,the resulting number is 9 times the reciprocal of the original number. What is the original number?
Data Interpretation Set22.In 1993 the number of Valentine’sDay cards sold was approximately how many times thenumber of Thanksgiving cards sold? 20 30 40 50 60 23.In 1993 a card company that sold 40 percent of the Mother’s Day cards that year priced its cards for that occasion between $1.00 and $8.00 each. If the revenue from sales of the company’sMother’sDay cards in 1993 was r million dollars, which of the following indicatesall possible values of r ? 155 < r < 1,240 93 < r < 496 93 < r < 326 62 < r < 744 Questions 22 to 25 are based on the fol owing data. For these questions, selecta single answer choice unless otherwise directed.
62 < r < 496 24.Approximately what was the percent increase in the annual revenue from all greeting card salesfrom 1990 to 1993 ? 50% 45% 39% 28% 20% 25.In 1993 the average (arithmetic mean) price per card for all greeting cards sold was $1.25. Forwhich of the following occasions was the number of cards sold in 1993 less than the total number of cards sold that year for occasions other than the ten occasions shown? Indicate all such occasions.Christmas Valentine’sDay Easter Mother’sDayFather’sDayGraduationThanksgivingHalloween For Question 25, select all the answer choices that apply.