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GMAT QUANTITATIVE WEEK 1

Total questions: 20

Worksheet time: 30mins

Name
Class
Date
1.

Each week, a clothing salesperson receives a commission equal to 15 percent of the first $500 in sales and 20 percent of all additional sales that week.

What commission would the salesperson receive on total sales for the week of $1,300 ?

a)

$195

b)

$227

c)

$235

d)

$260

e)

$335

2.

A certain restaurant that regularly advertises through the mail has 1,040 cover letters and 3,000 coupons in stock. In its next mailing, each envelope will contain 1 cover letter and 2 coupons. If all of the cover letters in stock are used, how many coupons will remain in stock after this mailing?

a)

920

b)

1,040

c)

1,500

d)

1,960

e)

2,080

3.

The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $150, by what percent is the price to be reduced?

a)

10%

b)

15%

c)

20%

d)

25%

e)

30%

4.

(12−13)+(13−14)+(14−15)+(15−16)\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{3}-\frac{1}{4}\right)+\left(\frac{1}{4}-\frac{1}{5}\right)+\left(\frac{1}{5}-\frac{1}{6}\right)

a)

−16-\frac{1}{6}

b)

0

c)

13\frac{1}{3}

d)

12\frac{1}{2}

e)

23\frac{2}{3}

5.

Each of the 12 squares shown is labeled x, y, v, or w.

What is the ratio of the number of these squares labeled x or y to the number of these squares labeled v or w?

a)

1:2

b)

2:3

c)

4:3

d)

3:2

e)

2:1

6.

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

a)

3

b)

5

c)

8

d)

10

e)

13

7.

A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round-trip has the technician completed?

a)

5%

b)

10%

c)

25%

d)

40%

e)

55%

8.

If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?

a)

400

b)

420

c)

480

d)

500

e)

600

9.

Of the following, which is the closest to 60.21.03×4.86\frac{60.2}{1.03\times4.86}

a)

10

b)

12

c)

13

d)

14

e)

15

10.

The value of 78+1912\frac{\frac{7}{8}+\frac{1}{9}}{\frac{1}{2}} is closest to ehich of the following?

a)

2

b)

32\frac{3}{2}

c)

1

d)

12\frac{1}{2}

e)

0

11.

The positive two-digit integers x and y have the same digits, but in reverse order. Which of the following must be a factor of x + y ?

a)

6

b)

9

c)

10

d)

11

e)

14

12.

In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is -5, how many of the numbers in the sequence are positive?

a)

None

b)

One

c)

Two

d)

Three

e)

Four

13.

If O < a < b < c, which of the following statements must be true?

I. 2a > b + c

II. c - a > b - a

III. ca>ba\frac{c}{a}>\frac{b}{a}

a)

I only

b)

II only

c)

III only

d)

I and II

e)

II and III

14.

When n liters of fuel were added to a tank that was already 13\frac{1}{3} full, the tank was filled to 79\frac{7}{9} of its capacity. In terms of n, what is the capacity of the tank, in liters?

a)

109n\frac{10}{9}n

b)

43n\frac{4}{3}n

c)

32n\frac{3}{2}n

d)

94n\frac{9}{4}n

e)

73n\frac{7}{3}n

15.

Which of the following is greatest?

a)

10 3\sqrt[]{3}

b)

9 4\sqrt[]{4}

c)

8 5\sqrt[]{5}

d)

7 6\sqrt[]{6}

e)

6 7\sqrt[]{7}

16.

Which of the following expressions can be written as an integer?

I. (82+82)2\left(\sqrt[]{82}+\sqrt[]{82}\right)^2

II. (82)(82)\left(82\right)\left(\sqrt[]{82}\right)

III. (82)(82)82\frac{\left(\sqrt[]{82}\right)\left(\sqrt[]{82}\right)}{82}

a)

None

b)

I only

c)

II only

d)

I and II

e)

I and III

17.

If (13+14+15+16)\left(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}\right) = r(19+112+115+118)r\left(\frac{1}{9}+\frac{1}{12}+\frac{1}{15}+\frac{1}{18}\right) , then r =

a)

13\frac{1}{3}

b)

43\frac{4}{3}

c)

3

d)

4

e)

12

18.

If x and y are positive integers such that y is a multiple of 5 and 3x + 4y = 200, then x must be a multiple of which of the following?

a)

3

b)

6

c)

7

d)

8

e)

10

19.

In Western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993 ?

a)

9% of x100\frac{x}{100}

b)

14% of x100\frac{x}{100}

c)

75% of x100\frac{x}{100}

d)

9% of x

e)

14% of x

20.

If k is a positive integer, what is the remainder when (k + 2)(k3 - k) is divided by 6 ?

a)

0

b)

1

c)

2

d)

3

e)

4