Quantitative of GMAT level 3 part 3

; Subject: ; Class: ; with 37 questions; test in 75 minutes; update 16-10-2018

  • Question 1:

    The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?

    A.

    7

    B.

    11

    C.

    13

    D.

    16

  • Question 2:

    Mary’s income is 60 percent more than Tim’s income, and Tim’s income is 40 percent less than Juan’s income. What percent of Juan’s income is Mary’s income?

    A.

    124%

    B.

    120%

    C.

    96%

    D.

    80%

  • Question 3:

    If a = -0.3 , which of the following is true?

    A.

    a < a2 < a3

    B.

    a < a3 < a2

    C.

    a2 < a < a3

    D.

    a2 < a3 < a

  • Question 4:

    If s > 0 and \(\sqrt{r\over s}\) = s, what is r in terms of s?

    A.

    \(1\over s\)

    B.

    \(\sqrt s\)

    C.

    s\(\sqrt s\)

    D.

    s3

  • Question 5:

    In order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?

    A.

    15

    B.

    16

    C.

    25

    D.

    40

  • Question 6:

    Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?

    A.

    1

    B.

    2

    C.

    3

    D.

    4

  • Question 7:

    If n = 38 – 28, which of the following is NOT a factor of n ?

    A.

    97

    B.

    65

    C.

    35

    D.

    13

  • Question 8:

    If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?

    A.

    10

    B.

    12

    C.

    14

    D.

    16

  • Question 9:

    A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?

    A.

    8%

    B.

    15%

    C.

    45%

    D.

    52%

  • Question 10:

    In Country C, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?

    A.

    50% decrease

    B.

    30% decrease

    C.

    15% decrease

    D.

    30% increase

  • Question 11:

    In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was \(3\over 5\). After 600 additional Republicansand 500 additional Democrats registered, the ratio was \(4\over 5\) . After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?

    A.

    100

    B.

    300

    C.

    400

    D.

    1,000

  • Question 12:

    A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?

    A.

    16%

    B.

    32%

    C.

    48%

    D.

    84%

  • Question 13:

    If t = \(1\over {2^9 x 5^3}\) is expressed as a terminating decimal, how many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point?

    A.

    3

    B.

    4

    C.

    5

    D.

    6

  • Question 14:

    According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

    A.

    250,000

    B.

    280,000

    C.

    310,000

    D.

    325,000

  • Question 15:

    Each year for 4 years, a farmer increased the number of trees in a certain orchard by \(1\over 4\) of the number of trees in the orchard the preceding year. If all of the trees thrived and there were 6,250 trees in the orchard at the end of the 4-year period, how many trees were in the orchard at the beginning of the 4-year period?

    A.

    1,250

    B.

    1,563

    C.

    2,250

    D.

    2,560

  • Question 16:

    Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?

    A.

    0.10

    B.

    0.15

    C.

    0.27

    D.

    0.33

  • Question 17:

    What is the smallest integer n for which 25n > 512 ?

    A.

    6

    B.

    7

    C.

    8

    D.

    9

  • Question 18:

    The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?

    A.

    5

    B.

    8

    C.

    10

    D.

    12

  • Question 19:

    If a square mirror has a 20-inch diagonal, what is the approximate perimeter of the mirror, in inches?

    A.

    40

    B.

    60

    C.

    80

    D.

    100

  • Question 20:

    The water from one outlet, flowing at a constant rate, can fill a swimming pool in 9 hours. The water from a second outlet, flowing at a constant rate, can fill the same pool in 5 hours. If both outlets are used at the same time, approximately what is the number of hours required to fill the pool?

    A.

    0.22

    B.

    0.31

    C.

    2.50

    D.

    3.21

  • Question 21:

    If T = \(5\over 9\)(K - 32),and if T = 290 , then K =

    A.

    \(1,738\over 9\)

    B.

    322

    C.

    490

    D.

    554

  • Question 22:

    For the positive numbers, n,n + 1 ,n + 2, n +  4, and n + 8, the mean is how much greater than the median?

    A.

    0

    B.

    1

    C.

    n + 1

    D.

    n + 2

  • Question 23:

    On a scale that measures the intensity of a certain phenomenon, a reading of corresponds to an intensity that is 10 times the intensity corresponding to a reading of n. On that scale, the intensity corresponding to a reading of 8 is how many times as great as the intensity corresponding to a reading of 3?

    A.

    5

    B.

    50

    C.

    510

    D.

    105

  • Question 24:

    If x(2x + 1) = 0 and (x + \(1\over 2\))(2x - 3) = 0, then x = 

    A.

    -3

    B.

    -\(1\over 2\)

    C.

    0

    D.

    \(1\over 2\)

  • Question 25:

    Water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2:16. Approximately how many grams of oxygen are there in 144 grams of water?

    A.

    16

    B.

    72

    C.

    112

    D.

    128

  • Question 26:

    In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 20 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?

    A.

    50%

    B.

    53%

    C.

    54%

    D.

    55%

  • Question 27:

    When positive integer x is divided by positive integer y, the remainder is 9. If \({x\over y} = 96.12\) , what is the value of y?

    A.

    96

    B.

    75

    C.

    48

    D.

    25

  • Question 28:

    A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?

    A.

    2%

    B.

    17%

    C.

    20%

    D.

    65%

  • Question 29:

    If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake’s present weight, in pounds?

    A.

    131

    B.

    135

    C.

    139

    D.

    147

  • Question 30:

    A ladder of a fire truck is elevated to an angle of 60° and extended to a length of 70 feet. If the base of the ladder is 7 feet above the ground, how many feet above the ground does the ladder reach?

    A.

    35

    B.

    42

    C.

    35\(\sqrt3\)

    D.

    7 + 35\(\sqrt3\)

  • Question 31:

    In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 560. What is the sum of the last 5 integers in the sequence?

    A.

    585

    B.

    580

    C.

    575

    D.

    570

  • Question 32:

    A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?

    A.

    \({3q}\over 200\)

    B.

    \({3q}\over 2\)

    C.

    150q

    D.

    \(q\over 100\) + 50

  • Question 33:

    The total cost for Company X to produce a batch of tools is $10,000 plus $3 per tool. Each tool sells for $8. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company X’s gross profit per tool is

    A.

    $3.00

    B.

    $3.75

    C.

    $4.50

    D.

    $5.00

  • Question 34:

    If n is an integer greater than 6, which of the following must be divisible by 3 ?

    A.

    n(n + 1)(n - 4)

    B.

    n(n + 2)(n - 1)

    C.

    n(n + 3)(n - 5)

    D.

    n(n + 4)(n - 2)

  • Question 35:

    Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts?

    A.

    22

    B.

    25

    C.

    28

    D.

    32

  • Question 36:

    \({(0.0036)(2.8)}\over {(0.04)(0.1)(0.003)}\) = 

    A.

    840.0

    B.

    84.0

    C.

    8.4

    D.

    0.84

  • Question 37:

    Leona bought a 1-year, $10,000 certificate of deposit that paid interest at an annual rate of 8 percent compounded semiannually. What was the total amount of interest paid on this certificate at maturity?

    A.

    $10,464

    B.

    $864

    C.

    $816

    D.

    $800

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