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01

The number of years of service of the eight employees in a production department are 15, 10, 9, 17,6, 4, 14 and 16. What is the range of service of the eight employees?

A 10

B 11

C 12

D 13

E 14

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02

:KLFK�RI�WKH�IROORZLQJ�LV�HTXDO�WR�WKH�YDOXH�RI� 25 + 25 + 35 + 35+ 35 ?

A 56

B 135

C 26 + 36

D 27 + 38

E 45 + 95


03

If x is an even integer, which of the following must be an odd integer?

A 3x 2

B 3x + 1 2

C 3x2

D 3x2

2

E 3x2 + 1 2

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04

:KLFK�RI�WKH�IROORZLQJ�LQHTXDOLWLHV�KDV�D�VROXWLRQ�VHW�WKDW��ZKHQ�JUDSKHG�RQ�WKH�QXPEHU�OLQH��LV�D�VLQJOH�OLQH�VHJPHQW�RI�¿QLWH�length?

A x4��

B x3��

C x2��

D 2 � _[_��

(� ��[��


05

Is x less than 20?

(1) The sum of x and y is less than 20

(2) y is less than 20

$� 6WDWHPHQW��$/21(�LV�VXI¿FLHQW��EXW�VWDWHPHQW��DORQH�LV�QRW�VXI¿FLHQW

%� 6WDWHPHQW��$/21(�LV�VXI¿FLHQW��EXW�VWDWHPHQW��DORQH�LV�QRW�VXI¿FLHQW�

&� %27+�VWDWHPHQWV�72*(7+(5�DUH�VXI¿FLHQW��EXW�1(,7+(5�VWDWHPHQW� $/21(�LV�VXI¿FLHQW�

'� ($&+�VWDWHPHQW�$/21(�LV�VXI¿FLHQW

(� 6WDWHPHQWV��DQG��72*(7+(5�DUH�127�VXI¿FLHQW

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06

If 521 × 411 = 2 × 10n what is the value of n?

A 11

B 21

C 22

D 23

E 32


07

,Q�WKH�¿JXUH�VKRZQ��WKH�PHDVXUH�RI�DQJOH�356�LV�KRZ�PDQ\�GHJUHHV�JUHDWHU�WKDQ�WKH�measure of angle PQR

(1) The measure of angle QPR is 30o

(2) The sum of the measures of angles PQR and PRQ is 150o



&� %27+�VWDWHPHQWV�72*(7+(5�DUH�VXI¿FLHQW��EXW�1(,7+(5�VWDWHPHQW��$/21(�� LV�VXI¿FLHQW�



P S

R

Q

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08

A None

%� 4�RQO\

&� 4�DQG�5�RQO\

'� 3��4��DQG�5�RQO\

(� 3��4��5��DQG�6�

In the rectangular coordinate system above, for which of the shaded regions is the area 2 ?

P

O x

y

8

8

4

4

QR

S

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09

$�VPDOO�ZDWHU�SXPS�ZRXOG�WDNH��KRXUV�WR�¿OO�DQ�HPSW\�WDQN��7KH�ODUJHU�SXPS�ZRXOG�WDNH�ò�KRXU�WR�¿OO�WKH�VDPH�WDQN��How many hours would it take both pumps, working at their UHVSHFWLYH�FRQVWDQW�UDWHV��WR�¿OO�WKH�HPSW\�WDQN�LI�WKH\�EHJDQ�pumping at the same time ?

A ¼

%� ѿ

C 2»5

D 5»4

E 3»2


10

At a two-day seminar, 90 percent of those registered attended WKH�VHPLQDU�RQ�WKH�¿UVW�GD\��:KDW�SHUFHQW�RI�WKRVH�UHJLVWHUHG�did not attend the seminar on either day?

(1) A total of 1,000 people registered for the two-day seminar

(2) Of those registered, 80 percent attended the seminar on the second day?






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11

:KHQ�D�FHUWDLQ�WUHH�ZDV�¿UVW�SODQWHG��LW�ZDV��IHHW�WDOO��DQG�WKH�height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1»5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year ?

A 3»10

B 2»5

C 1»2

D 2»3

E 6»5


12

A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of the 1,000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1,000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviations of the mean?

A Four

B Six

C Nine

D Ten

E Eleven

7.51 8.22 7.86 8.36 8.09 7.83 8.30 8.01 7.73 8.25 7.96 8.53

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13

A 0.80

B 1.25

C 8.00

D 12.50

E 80.00

The mass of 1 cubic meter of substance is 800 kilograms under certain conditions. What is the volume, in cubic centimeters of 1 gram of this substance under these conditions? (1 kilogram = 1000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

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14

'XULQJ�D�FDU�WULS��0DULD�VWRSSHG�WR�UHVW�DIWHU�VKH�WUDYHOHG�ò�RI�the total distance to her destination. She stopped again after VKH�WUDYHOHG�ó�RI�WKH�GLVWDQFH�UHPDLDQLQJ�EHWZHHQ�KHU�¿UVW�stop and her destination, and then she drove the remaining 120 miles to her destination. What was the total distance in miles from Maria’s starting point to her destination?

A 280

B 320

C 360

D 420

E 480


15

If the two regions above have the same area, what is the ratio W��V�"

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sstt

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16

{ -10, -6, -5, -4, -2.5, -1, 0, 2.5, 4, 6, 7, 10 }

A number is to be selected at random from the set above. what is the probability that the number selected will be the solution RI�WKH�HTXDWLRQ��[��[��[��

A 1»12

B 1»6

C 1»4

D 1»3

E 1»2


17

6TXDUH�6�LV�LQVFULEHG�LQ�FLUFOH�7��,I�WKH�SHULPHWHU�RI�6�LV��what is the circumference of T ?

A �ʌ

B ��ʌ

C �¥�ʌ

D �¥�ʌ

E ��¥�ʌ

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18

R =

24F N P + A 12

A certain bank uses the formular above to approximate the annual percentage rate R of a monthly installment loan. Which of the following an equivalent form of the formula ?

A 5� �� 24F (12P + A) 12N

B 5� �� 24F 12NP + AN

C 5� �� 2F N(P + A)

D 5� �� 288F PN + AN

E 5� �� 288F 12NP + AN


19

A sales person received a sales commission of 3 percent of the VDOH�SULFH�IRU�HDFK�RI�WKH�¿UVW��PDFKLQHV�WKDW�VKH�VROG�DQG�4 percent of the sale price for each machine that she sold sfter WKH�¿UVW��,I�WKH�VDOH�SULFH�RI�HDFK�PDFKLQH�ZDV��and the sales person received a $36,000 commission, how many machines did she sell ?

A 90

B 103

C 105

D 115

E 120

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20

/\QQ�OHQW�5REHUW��DW��SHUFHQW�VLPSOH�DQQXDO�LQWHUHVW�WR�be repaid at the end of 3 years. What was the total amount that 5REHUW�KDG�WR�SD\�WR�/\QQ�"

A $10,180

B $10,190

C $10,600

D $11,800

E $11,910


21

Of the 50 employees of a certain company, 30 earn an average (arithmetic mean) salary of $30,000, 15 earn an average salary of $40,000 and 5 earn an average salary of $60,000. What is the average salary earned by the employees of this company?

A $30,000

B $36,000

C $40,000

D $45,000

E $50,000

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22

Working alone at its own constant rate, a machine seals k cartons in 8 hours and working alone at its own constant rate, a second machine seals k cartons in 4 hours. If the two machines each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?

A ��

B ��ѿ�

C ��

D ��Ҁ�

E ��


23

For every integer k from 1 to 10, inclusive, the kth term of a FHUWDLQ�VHTXHQFH�LV�JLYHQ�E\��k +1 1 . 2k

,I�7�LV�WKH�VXP�RI�WKH�¿UVW��WHUPV�LQ�WKH�VHTXHQFH��WKHQ�7�LV�"

A greater than 2

B between 1 and 2

C EHWZHHQ�ò�DQG��

D EHWZHHQ�ó�DQG�ò

E less than ¼

( )

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24

If n is a positive integer less than 200 and 14n is an integer, 60then n has how many different positive prime factors?

A Two

B Three

C Five

D Six

E Eight


25

A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other LV�XVHG�WR�IRUP�D�VTXDUH��1R�ZLUH�LV�OHIW�RYHU��:KLFK�RI�WKH�IROORZLQJ�UHSUHVHQWV�WKH�WRWDO�DUHD��LQ�VTXDUH�PHWHUV��RI�WKH�FLUFXODU�DQG�WKH�VTXDUH�UHJLRQV�LQ�WHUPV�RI�U�"

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%� ʌU2 + 10

&� ʌU2 ��ó��ʌ2r2

'� ʌU2 ��ʌU�2

(� ʌU2 ��ò�ʌU�2

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26

$�FRPSDQ\�KDV�WZR�W\SHV�RI�PDFKLQHV��W\SH�5�DQG�W\SH�6��2SHUDWLQJ�DW�D�FRQVWDQW�UDWH��D�PDFKLQH�RI�W\SH�5�GRHV�D�certain job in 36 hours and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines RI�W\SH�5�ZHUH�XVHG�"

A 3

B 4

C 6

D 9

E 12


27

If xy = 1, what is the value of 2(x+y)2

? 2(x-y)2

A 2

B 4

C 8

D 16

E 32

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28

$�FHUWDLQ�FRPSDQ\�KDV��HTXDOO\�TXDOL¿HG�DSSOLFDQWV�IRU��open positions. How many different groups of 4 applicants can EH�FKRVHQ�E\�WKH�FRPSDQ\�WR�¿OO�WKH�SRVLWLRQV�LI�WKH�RUGHU�RI�selection does not matter ?

A 18

B 72

C 180

D 1,260

E 3,060


29

Last year a certain bond with a face value of $5,000 yielded 8 percent of its face value in interest. If that interest was approximately 6.5 percent of the bond's selling price, approximately what was the bond's selling price ?

A $4,063

B $5,325

C $5,351

D $6,000

E $6,154

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30

If 0 < m < 1, which of the following expressions has the least value?

A m

B m2

C m3

D 2 - m

E (m + 1)2


31

A 4 units of Country A currency

B 25 units of Country B currency

C 98 units of Country C currency

D 3 units of Country D currency

E 7 units of Country E currency

COUNTRY Number of Units of

Country X Currency

Country A 2.2Country B 0.5Country C 0.1Country D 4.0Country E 1.7

For each country listed in the left column of the table, the number in the right column gives the number of units of Country X currency that is equivalent to 1 unit of the country's currency. Which of the following is equivalent to the greatest number of units of Country X currency ?

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32

A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly SUR¿W��UHYHQXH�IURP�VDOHV�PLQXV�WKH�PDQXIDFWXUHUV�FRVW�WR�produce) on the sales of these units will be at least $42,000 ?

A $110

B $120

C $140

D $160

E $180


33

2 + 2 + 22 + 23+ 24 + 25 + 26 + 27 + 28 =

A 29

B 210

C 216

D 235

E 237

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34

Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 2 hours. How many hours does it take machines X and Y, working simultaneously, to produce 12k bottles ?

A 8

B 12

C 15

D 18

E 24


35

If k and t are integers and k2 - t2 is an odd integer, which of the following must be an even integer?I. k + t + 2II. k2 + 2kt + t2

III. k2 + t2

A None

B I only

C II only

D III only

E I, II, and III

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36

A certain store found that last year, the average (arithmetic mean) monthly sales from January through October was $120,000. In November and December, the monthly sales were 3 and 5 times, respectively, the average for the other 10 months. What was the store's average monthly sales last year?

A $180,000

B $216,000

C $252,000

D $318,000

E $360,000


37

Each day Linda spends 6 hours at her baby-sitting job, for which she is paid $15.00 per hour. In addition, Linda spends a total of 1.5 hours each day, for which she is not paid, travelling to and from the job. What is Linda's hourly rate of pay for the total amount of time that she spends each day at her baby-sitting job and travelling to and from that job ?

A $180,000

B $216,000

C $252,000

D $318,000

E $360,000

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06

(82) (33) (24) =

962

A 3

B 6

C 9

D 12

E 18


39

)RU�D�¿QLWH�VHTXHQFH�RI�QRQ]HUR�QXPEHUV��WKH�QXPEHU�RI�YDULDWLRQV�LQ�VLJQ�LV�GH¿QHG�DV�WKH�QXPEHU�RI�SDLUV�RI�FRQVHFXWLYH�WHUPV�RI�WKH�VHTXHQFH�IRU�ZKLFK�WKH�SURGXFW�RI�the two consecutive terms is negative. What is the number of YDULDWLRQV�LQ�VLJQ�IRU�WKH�VHTXHQFH��"�

A One

B Two

C Three

D Four

E Five

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40

A 50

B 51

C 56

D 57

E 60

Month Number of Days

Worked

June 20July 17August 19

The table above shows the number of days worked by a certain sales representative in each of three months last year. If the number of sales calls that the representative made each month was proportional to the number of days worked in that month and if the representative made a total of 168 sales calls in the three months shown, how many sales calls did the representative make in August?


41

,Q�WKH�¿JXUH�EHORZ��WKH�UDGLXV�RI�WKH�FLUFOH�with center O is 1 and BC = 1. What is the area of the triangular region ABC?

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C 1

'� ¥�

(� ¥�

A

B

CO

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42

The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

A 15

B 33

C 34

D 46

E 51


43

If the average (arithmetic mean) of the 4 numbers n + 2, 2n - 3, 4n + 1, and 7n + 4 is 15, what is the value of n?

A 11 14

B 4

C 32 7

D 11

E 13

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44

A T

B U

C V

D Y

E Z

7KH�¿JXUH�VKRZV�VHYHQ�WUDLQ�VWDWLRQV�DQG�WKH�GLVWDQFHV��LQ�PLOHV��DORQJ�WKH�UDLOZD\V�WKDW�FRQQHFW�WKHVH�VWDWLRQV��%HJLQQLQJ�DW�RQH�RI�WKH�VWDWLRQV��WKH�WUDLQ�WDNHV��KRXUV�WR�WUDYHO�GLUHFWO\�WR�VWDWLRQ�:�DW�DQ�DYHUDJH�UDWH�RI��PLOHV�SHU�KRXU��$W�ZKLFK�RI�WKH�VWDWLRQV�GLG�WKH�WUDLQ�EHJLQ"

700

125750

Note: Figure not drawn to scale

500

600T

U

V W X

Y

Z

675


45

$�ÀRZHU�DUUDQJHPHQW�FRQVLVWV�RI��URVHV��HDFK�RI�ZKLFK�LV�either white or red. If a rose is to be selected at random from WKH�ÀRZHU�DUUDQJHPHQW��WKH�SUREDEELOLW\�WKDW�WKH�URVH�VHOHFWHG�will be white is twice the probability that it will be red. How PDQ\�ZKLWH�URVHV�DUH�LQ�WKH�ÀRZHU�DUUDQJHPHQW�"

A 5

B 10

C 15

D 20

E 25

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46

Over a certain time period, did the number of shares of stock in 5XWKV�SRUWIROLR�LQFUHDVH"

(1) Over the time period, the ratio of the number of shares of stock to the total number of shares of stocks and bonds in� 5XWKV�SRUWIROLR�LQFUHDVHG�

(2) Over the time period, the total number of shares of stock� DQG�ERQGV�LQ�5XWKV�SRUWIROLR�LQFUHDVHG�







47

A certain list consists of several different integers. Is the product of all the integers in the list positive

(1) The product of the greatest and smallest of the integers in the list is positive

(2) There is an even number of integers in the list






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48

The cost of each adults' 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







49

If n is a positive integer and r is the remainder when n2 - 1 is divided by 8, what is the value of r ?

(1) n is odd.

(2) n is not divisible by 8.






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50

If (400)(6,000) = (240)(100x), what is the value of x ?

A 5

B 10

C 15

D 20

E 25


51

If 3 x - b = c6 , then x =

A c2 + b

B c6 + b

C c9 + b

D c12 + b

E c18 + b

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52

A between -9 and -10

B between -8 and -9

C between -4 and -5

D between -3 and -4

(� XQGH¿QHG

The value of 3 -89 is


53

A 0

B 1

C 2

D 3

E 4

For a certain race, 3 teams were allowed to enter 3 members each. A team earned 6 - n points whenever one of its members ¿QLVKHG�LQ�Qth�SODFH��ZKHUH��Q��7KHUH�ZHUH�QR�WLHV��GLVTXDOL¿FDWLRQV��RU�ZLWKGUDZDOV��,I�QR�WHDP�HDUQHG�PRUH�WKDQ�6 points, what is the least possible score a team could have earned?

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54

A None

B One

C Two

D Three

E Four

)RU�DQ\�SRVLWLYH�LQWHJHU�Q��WKH�OHQJWK�RI�Q�LV�GH¿QHG�DV�WKH�number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 × 5 × 5. How many two-digit positive integers have a length of 6?


55

A 3

B 5

C 8

D 13

E 15

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?

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56

A I only

B II only

C III only

D I and II

E I and III

If 0 < r < 1< s < 2, which of the following must be less than 1 ?

I. r s II. rs

III. s - r


57

,Q�WKH�UHFWDQJXODU�FRRUGLQDWH�V\VWHP�DERYH��WKH�DUHD�RI�ǻ345�LV�ZKDW�IUDFWLRQ�RI�WKH�DUHD�RI�ǻ/01"�

(2,0) (6,0) (10,0)

Q(8,4)

M(8,12)

(14,0)LO P R N

x

y

A 1»9

B 1»8

C 1»6

D 1»5

E 1»3

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58

Each of the 25 balls in a certain box is either red, blue, or white and has a number from 1 to 10 painted on it. If one ball is to be selected at random from the box, what is the probability that the ball selected will either be white or have an even number painted on it?

(1) The probability that the ball will both be white and have an even number painted on it is 0.

(2) The probability that the ball will be white minus the probability that the ball will have an even number painted on it is 0.2







59

A 10

B 11

C 15

D 16

E 18

What is the sum of the different prime factors of 550 ?

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60

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$W�WKH�HQG�RI�WKH�¿UVW�TXDUWHU��WKH�VKDUH�SULFH�RI�D�FHUWDLQ�mutual fund was 20 percent higher than it was as the beginning RI�WKH�\HDU��$W�WKH�HQG�RI�WKH�VHFRQG�TXDUWHU��WKH�VKDUH�SULFH�was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end RI�WKH�¿UVW�TXDUWHU�WR�WKH�HQG�RI�WKH�VHFRQG�TXDUWHU�"


61

A x

B x-1

C x2

'� ¥[�

E x3

If 0 < x < 1, what is the median of the values x, x-1, x2��¥[��DQG�x3 ?

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62

A 3 and 15

B 3 and 20

C 4 and 13

D 4 and 14

E 5 and 14

In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiples the integer on the card by the next larger integer. If each possible product is between 15 and 200, then the least and greatest integers on the cards could be ?


63

A d = p - 0.22

B d = p 1.22

C d = p - 0.18 1.04 D d = p - 0.18 1.04

E d = p - 0.04 1.18

In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding 4 percent sales tax to the dealers' price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per gallon p charged at the pump ?

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64

A 56

B 68

C 69

D 71

E 73

38, 69, 22, 73, 31, 47, 13, 82

Which of the following numbers is greater than three-fourths of the numbers but less than one-fourth of the numbers in the list above ?


65

A None

B One

C Two

D Three

E Four

40, 45, 45, 50, 50, 60, 70, 75, 95, 100

The scores on a certain history test are shown above. How many scores were greater than the median score but lessthan the mean score ?

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66

A 0.90

B 0.70

C 0.45

D 0.30

E 0.25

In the graduating class of a certain college, 48 percent of the students are male and 52 percent are female. In this class 40 percent of the male and 20 percent of the female students are 25 years old or older. If one student in the graduating class is randomly selected, approximately what is the probabbility that he or she will be less than 25 years old.


67

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For each of her sales, a sales woman receives a commission HTXDO�WR��SHUFHQW�RI�WKH�¿UVW��RI�WKH�WRWDO�DPRXQW�RI�the sale, plus 30 percent of the total amount of the sale in excess of $500. If the total amount of one of her sales is $800, then the saleswoman's commission was approximately what percent of the total amount of the sale ?

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68

A d

B 3d

C 15d

D d + 5

E d + 15

If d is the standard deviation of x, y and z, what is the standard deviation of x + 5, y + 5 and z + 5 ?


69

A Operator A

B Operator B

C Operator C

D Operator D

E Operator E

1:00 - 2:00 2:00 - 3:00 3:00 - 4:00 4:00 - 5:00

Operator A 3 7 7 3Operator B 4 5 5 6Operator C 8 2 5 5Operator D 6 4 4 6Operator E 3 4 5 8

7KH�WDEOH�VKRZV�WKH�QXPEHU�RI�FDOOV�UHFHLYHG�E\�HDFK�RI�¿YH�RSHUDWRUV�GXULQJ�HDFK�RI�4 one-hour periods. For which operator was the standard deviation of the number of calls received during these 4 periods the least ?

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70

A x + y > y

B xz > xy

C tz < z

D mu < 0

E tm > 0

For the numbers on the number line above, which of the following statements is true?

0-1

m x y z t u

1 2


71

In the xy-plane, line k has a positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, what is the y-intercept of line k ?

A -6

B -4

C -3

D 3

E 6

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72

A -x

B -1

C 1

D x

(� ¥[

If x < 0, then -x|x| is


73

7KH�¿JXUH�VKRZV�WKH�WRS�VLGH�RI�D�FLUFXODU�PDGDOOLRQ�PDGH�RI�D�FLUFXODU�SLHFH�RI�colored glass surrounded by a metal frame, represented by the shaded region. If the radius of the medallion is r centimeters and the width of the metal frame is s centimeters, then in terms of s and r, what is the area of the metal frame, in square centimeters ?

$� ʌ�U��V��2

%� ʌ�U2 - s2)

&� �ʌ�U��V��

'� ʌU��U��V�

(� ʌV��U��V�

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Olu Sanya


74

A x T

B x T - S

C Sx T - S D Sx T(T - S)

E x(T - S) T

7R�FHOHEUDWH�D�FROOHDJXHV�UHWLUHPHQW��WKH�7�FRZRUNHUV�LQ�DQ�RI¿FH�DJUHHG�to share equally the cost of a catered lunch. If the lunch costs a total of x dollars and S of the coworkers fail to pay their share, which of the following represents the additional amount, in dollars, that each of the remaining coworkers would have to contribute so that the cost of the lunch is completely paid?


75

A 2

B 9

C 15

D 21

E 30

A certain telephone company offers two plans, A and B. Under plan A, the FRPSDQ\�FKDUJHV�D�WRWDO�RI��IRU�WKH�¿UVW��PLQXWHV�RI�HDFK�FDOO�DQG�$0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the same amount under plan A and under plan B ?

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Olu Sanya


76

)RU�DOO�QXPEHUV�[�VXFK�WKDW�[��LI�J�[��LV�GH¿QHG�E\� g(x) = x2 + 2, then 1 1 x - 1 g(2) g(x)

A 6(x - 1) x2 + 2

B 6(x2+ 2) x - 1

C x2 + 2 2(x - 1)

D (x - 1) 6(x2 + 2)

E x2 + 2 6(x - 1)

( ) ( ) =


77

10012 - 9992 1012 - 992

A 10

B 20

C 40

D 80

E 100

=

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78

What is the greatest prime factor of 417 - 228 ?

A 2

B 3

C 5

D 7

E 11


79

A $88.10

B $89.00

C $89.10

D $89.50

E $90.00

Source Price

Internet $80, with no sales tax, plus $10 shipping feeStore X $90, a 10% discount, plus 10% tax on discounted priceStore Y $90, no taxStore Z $90, a 10% sales tax, and $10 rebate after tax

Isaac can purchase a certain item in four diferrent ways, as shown in the table. What is the lowest price for which he can purchase this item ?

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80

An investor purchased 20 shares of a certain stock at a price of $45.75 per share. Later this investor purchased 30 more shares at a price of $46.25 per share. what was the average (arithmetic mean) price per share that the investor paid for the 50 shares?

A $45.80

B $45.95

C $46.00

D $46.05

E $46.20


81

Working alone at its own constant rate, a machine seals k cartons in 8 hours, and working at its own constant a second machine seals k cartons in 4 hours. If the two machines each working at its own constant rate and for the same period of time, together sealed a certain number of cartons, what percent of the cartons were sealed by the machine working at the faster rate?

$� ��

%� ��ѿ�

&� ��

'� ��Ҁ�

(� ��

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Olu Sanya


82

,Q�WKH�LQ¿QLWH�VHTXHQFH�D1, a2, a3, .........., an, ......., each term DIWHU�WKH�¿UVW�LV�HTXDO�WR�WZLFH�WKH�SUHYLRXV�WHUP��,I�D5 - a2 = 12, what is the value of a1?

A 4

B 24 7

C 2

D 12 7

E 6 7


83A certain movie depicted product A in 21 scenes, product B in 7 scenes, product C in 4 scenes and product D in 3 scenes. The four product manufacturers paid amounts proportional to the number of scenes in which their product was depicted in the movie. If each manufacturer paid x dollars per scene, how much did the manufacturer of product D pay for this advertising?

(1) The manufacturers of products A and B together paid a total of $560,000 for this advertising

(2) The manufacturer of product B paid $60,000 more for this advertising than the manufacturer of product C paid






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84

If k ≠ 0, 1, or -1, is 1 > 0 ? k

(1) 1 > 0 k-1

(2) 1 > 0 k+1







85

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






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86

If 2x - 2x-2 = 3(213), what is the value of x ?

A 9

B 11

C 13

D 15

E 17


87

A 30

B 20

C 18

D 12

E 6

The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?

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88

The numbers of books read by 7 students last year were 10, 5, S��T��U��DQG��:KDW�ZDV�WKH�UDQJH�RI�WKH�QXPEHUV�RI�ERRNV�read by the 7 students last year?

�� S��T

(2) p < r < 15







89

If n is a positive integer and r is the remainder when n2 - 1 is divided by 8, what is the value of r ?

(1) n is odd

(2) n is not divisible by 8






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90

If a certain sample of data has a mean of 20.0 and a standard deviation of 3.0. which of the following values is more than 2.5 standard deviations from the mean ?

A 12.0

B 13.5

C 17.0

D 23.5

E 26.5


91

In the xy-plane, line k has a positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, what is the y-intercept of line k ?

A -6

B -4

C -3

D 3

E 6


92

A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet ? ��VTXDUH�IHHW� ��DFUH�

A $5,330

B $3,630

C $1,350

D $360

E $150

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Olu Sanya


93

$IWHU�D�¿VKHUPDQ�VROG�ò�RI�WKH�¿VK�KH�KDG�FDXJKW�DQG�JDYH�DZD\�ò�RI�WKH�UHPDLQLQJ�¿VK��KH�KDG��¿VK�OHIW��ZKDW�ZDV�WKH�WRWDO�QXPEHU�RI�¿VK�KH�KDG�FDXJKW�"

A 8

B 16

C 20

D 32

E 40


94

If (2x)(3y) = 288, where x and y are positive integers, then (2x-1)(3y-2) =

A 16

B 24

C 48

D 96

E 144


95

:KLFK�RI�WKH�IROORZLQJ�LV�HTXDO�WR�WKH�DYHUDJH��DULWKPHWLF�mean) of (x + 2)2 and (x - 2)2 ?

A x2

B x2 + 2

C x2 + 4

D x2 + 2x

E x2 + 4x

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96

7KH�DUHD�RI�D�VTXDUH�JDUGHQ�LV�$�VTXDUH�IHHW�DQG�WKH�SHULPHWHU�is P feet. If A = 2P + 9, what is the perimeter of the garden, in feet ?

A 28

B 36

C 40

D 56

E 64


97

If (2x)(2y) = 8 and (9x)(3y) = 81, then (x, y) =

A (1, 2)

B (2, 1)

C (1, 1)

D (2, 2)

E (1, 3)


98

Each unit of a certain product costs a manufacturer $9 to produce. The manufacturer sells the product in boxes of 50 units for $560 per box. How many boxes of the product does WKH�PDQXIDFWXUHU�QHHG�WR�VHOO�WR�\LHOG�D�SUR¿W�RI��"

A 90

B 100

C 900

D 1,000

E 1,100

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99

One member of a committee of 5 men and 8 women resigned and was not replaced. What fraction of the remaining members were men?

(1) 7 of the remaining members were women 12

(2) The member who resigned was a woman







100

If b is positive, is ab positive?

(1) a2b > 0

(2) a2 + b = 13






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101

If w and z are positive, is w < 1 ? z

(1) w < z

(2) z < 4







102

A certain circular area has its center at point P and has radius 4, and points X and Y lie in the same plane as the circular area. Does point Y lie outside the circular area?

(1) The distance between point P and point X is 4.5

(2) The distance between point X and point Y is 9







103

If w, x, y, and z are numbers on the number line shown, which of the following products is least?

A wy

B wz

C xy

D xz

E yz

-2 -1 x y 0 z 1 2w

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104

,I�WKH�RSHUDWLRQ�͞��LV�GH¿QHG�IRU�DOO�SRVLWLYH�LQWHJHUV�[�DQG�Z�E\�[�͞�Z� ��x ��WKHQ��͞��͞�� 2w

A 2

B 4

C 8

D 16

E 32


105

A 3

B 4

C 5

D 6

E 8

Type of Cake Eggs Flour Sugar

Angel Food 6 3 cups 1 cupDevil’s Food 3 4 cups 2 cupsPound 2 4 cups 1 cup

7KH�WDEOH�VKRZV�WKH�TXDQWLWLHV�RI�HJJV��ÀRXU�DQG�VXJDU�XVHG�E\�D�FHUWDLQ�EDNHU�WR�make one cake of each of the three different types. If the baker had 24 eggs, 30 cups RI�ÀRXU�DQG��FXSV�RI�VXJDU�DYDLODEOH�DQG�KDG�WR�PDNH��DQJHO�IRRG�FDNHV�DQG��devil’s food cake, what is the maximum number of pound cakes that the baker could make with the remaining ingredients?


106

If w, x and y are consecutive odd positive integers and Z��[��\��ZKLFK�RI�WKH�IROORZLQJ�FRXOG�EH�HTXDO�WR�\��[��Z�"

A -4

B -2

C -1

D 0

E 3

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107

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







108

What is the greatest integer that is less than t ?

(1) t = 9 4

(2) t = -3 2

2






( )


109

Does set S contain any even numbers

(1) There are no prime numbers in S

(2) There are no multiples of 4 in S






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110

Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car

(2) Of the families who live in the town, 2,970 own both a car and a television set







111

What is the value of v3 - k3 ?

(1) vk > 0

(2) v - k = 6







112

What is the value of 3n - 4

(1) 6n - 10 = 30

(2) n = 20 3 9






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113

If eleven consecutive integers are listed from least to greatest, what is the average (arithmetic mean) of the eleven integers?

�� 7KH�DYHUDJH�RI�WKH�¿UVW�QLQH�LQWHJHUV�LV��

(2) The average of the last nine integers is 9







114

$Q�DQWLTXH�GHDOHU�ERXJKW�D�FRIIHH�WDEOH�WKDW�ZDV�WKHQ�VROG�IRU�D�SUR¿W��:KDW�ZDV�WKH�VHOOLQJ�SULFH�RI�WKH�FRIIHH�WDEOH

(1) The dealer’s cost for the coffee table was $340

�� 7KH�GHDOHU¶V�JURVV�SUR¿W�RQ�WKH�FRIIHH�WDEOH�ZDV��RI� the selling price







115

The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?

A 10

B 20

C 40

D 80

E 100

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116

The distributor of cases of a certain beverage charges $60 per case for orders of 1 to 5 cases, $50 per case for orders 6 to 20, and $45 per case for orders of more than 20 cases. If the GLVWULEXWRU�¿OOHG�WKUHH�RUGHUV��RQH�IRU��FDVHV��RQH�IRU��FDVHV�of the beverage and one for 30 cases of the beverage, what was the total amount the distributor charged for the orders?

A $1,960

B $2,000

C $2,040

D $2,080

E $2,120


117

A certain bakery has 6 employees. It pays annual salaries of $14,000 to each of 2 employees, $16,000 to 1 employee and $17,000 to each of the remaining employees. The average (arithmetic mean) annual salary of these employees is closest to which of the following?

A $15,200

B $15,500

C $15,800

D $16,000

E $16,400


118

Each day Linda spends 6 hours at her baby-sitting job, for which she is paid $15.00 per hour. In addition, Linda spends a total of 1.5 hours each day, for which she is not paid, travelling to and from the job. What is Linda’s hourly rate of pay for the total amount of time that she spends each day at her baby-sitting job and travelling to and from that job?

A $7.50

B $9.00

C $10.00

D $10.75

E $12.00

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119

2(4 -1)2 = 23 -2

A 28

B 27

C 26

D 25

E 24


120

In the addition table shown above, what is the value of m + n ?

A -19

B 4

C 5

D 6

E 22

+ x y z4 1 -5 me 7 n 10f 2 -4 5


121

,Q�WKH�DULWKPHWLF�VHTXHQFH�W1, t2, t3, .........., tn, ......., t1 = 23 and tn = tn-1 - 3 for each n > 1. What is the value of n when tn = -4?

A -1

B 7

C 10

D 14

E 20

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122

3 teaspoons = 1 tablespoon

4 tablespoons = ¼ cup

According to the information above, how many teaspoons are HTXDO�WR�Ǫ�FXS"

A 3

B 4

C 9

D 12

E 18


123

If two sides of a triangle have lengths 2 and 5, which of the following could be the perimeter of the triangle?

I. 9II. 15III. 19

A None

B I only

C II only

D II and III only

E I, II, and III


124

Is x + y negative ?

(1) x is negative

(2) y is positive






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125

In the triangle ABC above, what is the length of side BC ?

(1) Line segment AD has a length 6

(2) x = 36






A 2xo2xoxo CD

B


126

0DOLNV�UHFLSH�IRU��VHUYLQJV�RI�D�FHUWDLQ�GLVK�UHTXLUHV��ò cups of pasta. $FFRUGLQJ�WR�WKLV�UHFLSH��ZKDW�LV�WKH�QXPEHU�RI�FXSV�RI�SDVWD�WKDW�0DOLN�ZLOO�use the next time he prepares this dish ?

�� 7KH�QH[W�WLPH�KH�SUHSDUHV�WKLV�GLVK��0DOLN�ZLOO�PDNH�KDOI�DV�PDQ\ servings as he did the last time he prepared the dish

�� 0DOLN�XVHG��FXSV�RI�SDVWD�WKH�ODVW�WLPH�KH�SUHSDUHG�WKLV�GLVK







127

If l and k are lines in the xy-plane, is the product of the slopes of l�DQG�N�HTXDO�WR��"

(1) Line l passes through the origin and the point (1,2).

(2) Line k has x-intercept 4 and y-intercept 2.






Olu Sanya


Olu Sanya


128

,I�D�HTXDOV�WKH�VXP�RI�WKH�HYHQ�LQWHJHUV�IURP��WR��LQFOXVLYH��DQG�E�HTXDOV�WKH�VXP�RI�WKH�RGG�LQWHJHUV�IURP��WR��inclusive, what is the value of a - b ?

A 1

B 10

C 19

D 20

E 21


129

7KH�¿JXUH�VKRZQ�UHSUHVHQWV�D�SLHFH�RI�ODQG�WKDW�LV�WKH�VKDSH�RI�D�TXDUWHU�FLUFOH��,I�WKH�ODQG�LV�HQFORVHG�E\�D�IHQFH��ZKLFK�RI�the following is closest to the length, in feet, of the fence?

A 278

B 341

C 357

D 400

E 441

100 ft

100 ft


130

Company C has a machine that, working alone at its constant rate, processes 100 units of a certain product in 5 hours. If Company C plans to buy a new machine that will process this product at a constant rate and if the two machines, working together at their respective constant rates, are to process 100 units of this product in 2 hours, what should be the constant rate, in units per hour, of the new machine ?

A 50

B 45

C 30

D 25

E 20


131

If a = 7 and b = -7, what is the value of 2a - 2b + b2 ?

A -49

B 21

C 49

D 63

E 77

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Olu Sanya


132

A certain kennel will house 24 dogs for 7 days. Each dog UHTXLUHV��RXQFHV�RI�GRJ�IRRG�SHU�GD\��,I�WKH�NHQQHO�purchases dog food in cases of 30 cans each and if each can holds 8 ounces of dog food, how many cases will the kennel need to feed all of the dogs for 7 days ?

A 5

B 6

C 7

D 8

E 9


133

If x = 2 , then x - y = y 3 x

$� �ò

%� �ѿ

C 1»3

D 1»2

E 5»2


134

,I�1�LV�D�SRVLWLYH�LQWHJHU��LV�WKH�XQLWV�GLJLW�RI�1�HTXDO�WR�]HUR�"

(1) 14 and 35 are factors of N

(2) N = (25)(32)(57)(76)







135

For which of the following functions is f(a + b) = f(a) + f(b) for all positive numbers a and b ?

A f(x) = x2

B f(x) = x + 1

C I�[�� ¥[

D f(x) = 2»xE f(x) = -3x

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136

In the xy-plane, at what two points does the graph ofy = (x + a)(x + b) intersect the x-axis ?

(1) a + b = -1

(2) The graph intersects the y-axis at (0, -6)







137

Is p + pz = p ?

(1) p = 0

(2) z = 0







138

Machine A, working alone at its constant rate, manufactures 280 bolts per hour, and machine B, working alone at its constant rate, manufactures 220 bolts per hour. How many hours will it take for machines A and B, working together at their respective constant rates, to manufacture 1,000 bolts ?

A 1

B 1.3

C 1.5

D 1.8

E 2

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139

1 + 0.00010.04 + 10

The value of the expression above is closest to which of the following ?

A 0.0001

B 0.001

C 0.1

D 1

E 10


140

Mary purchased 3 theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases a fourth theater ticket with a price of $16, what is the average price of all 4 theatre tickets ?

A $4

B $6

C $8

D $10

E $12


141

A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed ?

A 14

B 18

C 35

D 56

E 144

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Olu Sanya


142

At a repair shop, the total cost of a repair consists of the charge for parts and a charge of $22.00 per hour for labor. If the total cost of a certain repair at the shop was $249.75 and the charge for parts was $150.75, then the labor charge was for how many hours of labor ?

A 4.5

B 5

C 5.5

D 6.5

E 9


143

How many of the 42 people in a group are employed students?

(1) 29 of the 42 people are employed

(2) 24 of the 42 people are students







144






A store sells milk in cartons of two sizes, one-half gallon and one-quarter gallon. If the store sold a total of 300 cartons of milk yesterday, how many gallons of milk did it sell yesterday?

(1) Yesterday the store sold 120 one-quarter gallon cartons of milk

(2) Yesterday the store sold 90 gallons of milk in one-half gallon cartons

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Olu Sanya


145

A wooden rod is cut into two pieces. What is the length of the longer piece?

(1) One of the pieces is 20 inches longer than the other piece

�� 7KH�OHQJWK�RI�WKH�VKRUWHU�SLHFH�LV�ѿ�WKH�OHQJWK�RI�WKH longer piece







146

At a certain restaurant, if each hamburger costs the same amount, what is the cost, excluding sales tax of 1 hamburger?

(1) The total cost, including a 6 percent sales tax, is $4.77 for 3 hamburgers

(2) The total cost, including a 6 percent sales tax, is less than $6.50 for 4 hamburgers







147

If the product of the three digits of the positive integer k is 14, what is the value of k?

(1) k is an odd integer

(2) k < 700







148

0DUN�ERXJKW�D�VHW�RI��ÀRZHUV�SRWV�RI�GLIIHUHQW�VL]HV�DW�D�WRWDO�cost of $8.25. Each pot cost $0.25 more than the next one below it in size. What is the cost, in dollars, of the largest pot ?

A $1.75

B $1.85

C $2.00

D $2.15

E $2.30

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Olu Sanya


149

If a certain sample of data has a mean of 20.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean ?

A $1.75

B $1.85

C $2.00

D $2.15

E $2.30


150

,I�0�LV�D�¿QLWH�VHW�RI�QHJDWLYH�LQWHJHUV��LV�WKH�WRWDO�QXPEHU�RI�integers in M an odd number ?

(1) The product of all the integers in M is odd.

(2) The product of all the integers in M is negative.







151

What is the retail price of a certain calculator ?

(1) The retail price of the calculator is $2.00 more than the wholesale price.

(2) The retail price of the calculator is 50 percent more than the $4.00 wholesale price







152

What is the average (arithmetic mean) of eleven consecutive integers ?

�� 7KH�DYHUDJH�RI�WKH�¿UVW�QLQH�LQWHJHUV�LV��

(2) The average of the last nine integers is 9







153

If x is positive, what is the value of y?

(1) 5x = 15

(2) xy + y = 18






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154

Is x to the right of -5 on the number line ?

(1) x is to the right of -7 on the number line.

(2) x is between -4 and -3 on the number line.







155

If 521 × 411 = 2 × 10n what is the value of n?

A 11

B 21

C 22

D 23

E 32


156

If 2x - 2x-2 = 3(213), what is the value of x ?

A 9

B 11

C 13

D 15

E 17

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Olu Sanya


157

If x is a negative integer, which of the following expressions has the LEAST value ?

A x2 - 0.50

B x2 - 0.51

C x3 - 0.502

D x3 - 0.511

E x4 - 0.512


158

According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the FRQFHQWUDWH�DUH�UHTXLUHG�WR�SUHSDUH��RXQFH�VHUYLQJV�RI�orange juice ?

A 25

B 34

C 50

D 67

E 100


159

7KH�SHULPHWHU�RI�D�FHUWDLQ�LVRFHOHV�ULJKW�WULDQJOH�LV��¥��What is the length of the hypotenus of the triangle ?

A 8

B 16

&� �¥��

'� �¥�

(� ��¥�


160

Is x + y negative ?

(1) x is negative.

(2) y is positive.







161

What is the remainder when the positive integer x is divided by 3 ?

(1) When x is divided by 6, the remainder is 2.

(2) When x is divided by 15, the remainder is 2






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162

The formular F = C + 32 gives the relationship between the temperature in degrees Fahrenheit, F and the temperature given in degrees Celsius, C. If the temperature is 85 degrees Fahrenheit, what is the temperature, to the nearest degree, in Celsius?

A 18oC

B 23oC

C 29oC

D 47oC

E 51oC

9 5


163

In isoceles ǻ567�ZKDW�LV�WKH�PHDVXUH�RI�angle 5"

(1) The measure of angle T is 100o.

(2) The measure of angle S is 40o.







164

For the students in class A, the range of heights is r centimeters and the greatest height is g centimeters. For the students is class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of students in class B ?

(1) r < s

(2) g > h







165

On a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. what was the number of men on the sight-seeing tour ?

(1) On the sight-seeing tour, the ratio of the number of children to the number of men was 5 to 11

(2) The number of women on the sight-seeing tour was less than 30.







166

,Q�WKH�¿JXUH�DERYH��SRLQWV�3�DQG�4�OLH�RQ�WKH�FLUFOH�ZLWK�FHQWHU�O. What is the value of s?

A 1 2

B 1

&� ¥�

'� ¥�

E ¥2 2

o x

y

Q(s,t)P(-¥3,1

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167

If r and s are integers and rs + r is odd, which of the following must be even ?

A r

B s

C r + s

D rs - r

E r2 + s


168

7KH�SHULPHWHUV�RI�VTXDUH�UHJLRQ�6�DQG�UHFWDQJXODU�UHJLRQ�5�DUH�HTXDO��,I�WKH�VLGHV�RI�5�DUH�LQ�WKH�UDWLR��ZKDW�LV�WKH�UDWLR�RI�WKH�DUHD�RI�UHJLRQ�5�WR�WKH�DUHD�RI�UHJLRQ�6�"

$� ��

%� ��

&� ��

'� ��

(� ��


169

A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 36 hours and a machine of type S does the same job in 18 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?

A 3

B 4

C 6

D 9

E 12

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170

�,I�[��WKHQ��[2 =

x

A -1

B 0

C 1

D x

E |x| x


171

Which of the following is an integer?

I. 12! II. 12! III. 12! 6! 8! 7!5!

A I only

B II only

C III only

D I and II only

E I, II, and III


172

Lines n and p lie in the xy-plane. Is the slope of line n less than the slope of line p ?

(1) Lines n and p intersect at the point (5,1).

(2) The y-intercept of line n is greater than the y-intercept of line p







173

,V�P��Q�"

(1) m + n < 0

(2) mn < 0






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174

At a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank ?

A 3 25

B 11 36

C 7 12

D 2 3

E 25 36


175

Of the following, which is the least ?

A 1 0.2

B (0.2)2

C 0.02

D 0.2 2

E 0.2


176

A 60 - 69

B 70 - 79

C 80 - 89

D 90 - 99

E It cannot be determined from the information given

Score Interval Number of

Scores

50 - 5960 - 6970 - 7980 - 8990 - 99

210162718

The table above shows the distribution of test scores for a group of management trainees. Which score interval contains the median of the 73 scores ?


177

From a bag containing 12 identical blue balls, y identical yellow balls, and no other balls, one ball will be removed at random. If the probability is less than 2/5 that the removed ball will be blue, what is the least number of yellow balls that must be in the bag?

A 17

B 18

C 19

D 20

E 21

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178

$�FHUWDLQ�OLEUDU\�DVVHVVHV�¿QHV�IRU�RYHUGXH�ERRNV�DV�IROORZV��2Q�WKH�¿UVW�GD\�WKDW�D�ERRN�LV�RYHUGXH��WKH�WRWDO�¿QH�LV��)RU�HDFK�DGGLWLRQDO�GD\�WKDW�WKH�ERRN�LV�RYHUGXH��WKH�WRWDO�¿QH�is either increased by $0.30 or doubled, whichever results LQ�WKH�OHVVHU�DPRXQW��:KDW�LV�WKH�¿QDO�¿QH�IRU�D�ERRN�RQ�WKH�fourth day it is overdue ?

A $0.60

B $0.70

C $0.80

D $0.90

E $1.00


179

,I�WKH�V\PERO�¨�UHSUHVHQWV�HLWKHU�DGGLWLRQ�RU�PXOWLSOLFDWLRQ��which operation does it represent?

�� D�¨�E� �E�¨�D�IRU�DOO�QXPEHUV�D�DQG�E�"

�� D�¨��E��F�� D�¨�E��D�¨�F��IRU�DOO�QXPEHUV�D��E�DQG�F�







180

What is the value of n ?

(1) n is between 0 and 1.

(2) 7 is 3 more than n. 16 8







181

Pat bought 5 pounds of apples. How many pounds of pears could Pat have bought for the same amount of money ?

(1) One pound of pears costs $0.50 more than one pound of apples

�� 2QH�SRXQG�RI�SHDUV�FRVWV��ò�WLPHV�DV�PXFK�DV�RQH pound of apples.







182

7R�¿OO�DQ�RUGHU�RQ�VFKHGXOH��D�PDQXIDFWXUHU�KDG�WR�SURGXFH�1,000 tools per day for n days. What is the value of n ?

(1) Because of production problems, the manufacturer � SURGXFHG�RQO\��WRROV�SHU�GD\�GXULQJ�WKH�¿UVW��GD\V�

(2) Because of production problems, the manufacturer had to produce 1,500 tools per day on each of the last 4 days in order to meet the schedule






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183

In a certain conference room each row of chairs has the same number of chairs, and the number of rows is 1 less than the number of chairs in a row. How many chairs are in a row?

(1) There is a total of 72 chairs.

(2) After 1 chair is removed from the last row, there is a total of 17 chairs in the last 2 rows.







184

Alice's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?

$� ò

%� ѿ

C 1»4

D 1»5

E 1»6


185

A 30

B 20

C 18

D 12

E 6

The residents of Town X participated in a survey to determine the number of hours per week each resident spent watching television. The distribution of the results of the survey had a mean of 21 hours and a standard deviation of 6 hours. The number of hours Pat, a resident of Town X, watched television last week was between 1 and 2 standard deviations below the mean. Which of the following could be the number of hours that Pat watched television last week?

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186

,I�0�LV�D�¿QLWH�VHW�RI�QHJDWLYH�LQWHJHUV��LV�WKH�WRWDO�QXPEHU�RI�integers in M an odd number ?

(1) The product of all the integers in M is odd.

(2) The product of all the integers in M is negative.







187

During a one-day sale, a store sold each sweater of a certain type for $30 more than the store's cost to purchase each sweater. How many of these sweaters were sold during the sale ?

(1) During the sale, the total revenue from the sale of these sweaters was $270.

(2) During the sale, the store sold each of these sweaters at a price that was 50 percent greater than the store's cost to purchase each sweater.







188

The sum of the integers in list S is the same as the sum of the integers in list T. Does S contain more integers than T ?

(1) The average (arithmetic mean) of the integers in S is less than the average of the integers in T.

(2) The median of the integers in S is greater than the median of the integers in T.







189

The attendees at a certain convention purchased a total of 15,000 books. How many of these attendees were female ?

(1) There was a total of 4,000 attendees at the convention.

(2) The male attendees purchased an average (arithmetic mean) of 3 books each, and the female attendees purchased an average of 5 books each.






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190

On the number line, the distance between x and y is greater than the distance between x and z. Does z lie between x and y on the number line ?

(1) xyz < 0

(2) xy < 0






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191ANSWER KEY1. D2. C 3. E4. E5. E6. B7. D8. D9. C10. B11. D12. E13. B14. B15. D16. B17. D18. E19. D20. D21. B22. D23. D24. B25. E

26. C27. D28. E29. E30. C31. B32. D33. A34. D35. A36. A37. E38. A39. C40. D41. B42. E43. B44. B45. D46. C47. C48. D49. A50. D

51. E52. C53. D54. C55. D56. A57. A58. E59. E60. B61. A62. C63. D64. D65. B66. B67. B68. A69. B70. E71. A72. A73. E74. D75. B

76. D77. A78. D79. B80. D81. D82. E83. D84. A85. C86. D87. D88. E89. A90. A91. A92. E93. B94. A95. C96. B97. A98. D99. D100. E

101. A102. C103. B104. A105. B106. C107. D108. D109. E110. E111. E112. D113. D114. C115. C116. D117. C118. E119. D120. C121. C122. E123. A124. E125. A

126. C127. C128. B129. C130. C131. E132. C133. A134. D135. E136. C137. D138. E139. C140. D141. B142. A143. E144. D145. C146. A147. E148. C149. A150. B

151. B152. D153. C154. B155. B156. D157. D158. A159. B160. E161. D162. C163. A164. C165. C166. B167. B168. B169. C170. E171. E172. C173. B174. E175. C

176. C177. C178. B179. B180. B181. B182. E183. D184. D185. D186. B187. C188. A189. C190. E

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