Success Prep GRE Practice Test 3a

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Practice Questions Courtesy: ets gre - www.ets.org/gre

01

Quantity Ax

Quantity By

A Quantity A is greater.

B Quantity B is greater.

C Quantities A and B are equal.

D It is impossible to determine which quantity is greater.

8 y4 4

x 4

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02

Quantity Ax2 - 4y2

Quantity B8

(x - 2y)(x + 2y) = 4






03

Quantity AThe amount of sugar required

for the same recipe to make 30 cookies

Quantity B2 cups

A certain recipe requires 3»2 FXSV�RI�VXJDU�DQG�PDNHV��GR]HQ�FRRNLHV��GR]HQ� ��





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04

Quantity AThe sum of the distance from

the power station to each of the substations

Quantity B30 miles

A power station is located on the boundary of a square region that measures 10 miles on each side. Three substations are

located inside the square region.






05

Quantity Axy

Quantity B0.85

��[��y = 8





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06

2�LV�WKH�FHQWHU�RI�WKH�FLUFOH��DQG�WKH�SHULPHWHU�RI�¨$2%�LV��

0 B

A

60o

Quantity AThe circumference of the circle

Quantity B12






07

Quantity AThe standard deviation of a set of 5 GLIIHUHQW�LQWHJHUV��HDFK�RI�ZKLFK�LV�

between 0 and 10

Quantity BThe standard deviation of a set of 5 GLIIHUHQW�LQWHJHUV��HDFK�RI�ZKLFK�LV�

between 10 and 20





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08

Quantity Ax(x2)4

Quantity B(x3)3

x > 1






09

Quantity A|x| + |-2|

Quantity B|x - 2|

[��





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10

7x + 3y = 123x + 7y = 6

,I�[�DQG�\�VDWLVI\�WKH�V\VWHP�RI�HTXDWLRQ�DERYH��ZKDW�LV�WKH�YDOXH�RI�[��\�"

A 2»3

B 3»2

C 1

D 4

(� �


11

☐ 12o

☐ 15o

☐ 45o

☐ 50o

☐ 70o

,Q�WULDQJOH�$%&��WKH�PHDVXUH�RI�DQJOH�$�LV��o and the measure of angle B is greater than 90o��:KLFK�RI�WKH�IROORZLQJ�FRXOG�EH�WKH�PHDVXUH�RI�DQJOH�&"

Indicate all such measures.

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12

What is the least integer n such that 1»2n ��"

A 10

B 11

C 500

D 501

(� 7KHUH�LV�QR�VXFK�OHDVW�LQWHJHU


13

,Q�WKH�VXQVKLQH��DQ�XSULJKW�SROH��IHHW�WDOO�LV�FDVWLQJ�D�VKDGRZ��IHHW�ORQJ��$W�WKH�VDPH�WLPH��D�QHDUE\�XSULJKW�SROH�LV�FDVWLQJ�D�VKDGRZ��IHHW�ORQJ��,I�WKH�OHQJWKV�RI�WKH�VKDGRZV�DUH�SURSRUWLRQDO�WR�WKH�KHLJKWV�RI�WKH�SROHV��ZKDW�LV�WKH�KHLJKW��LQ�IHHW��RI�WKH�WDOOHU�SROH"

A 10

B 12

C 514

D 15

(� ��

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14

If a is the smallest prime number greater than 21 and b is the largest prime QXPEHU�OHVV�WKDQ��WKHQ�ab =

A 299

B 323

C 330

D 345

(� ��

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15

7KH�WRWDO�DPRXQW�RI�-XG\V�ZDWHU�ELOO�IRU�WKH�ODVW�TXDUWHU�RI�WKH�\HDU�ZDV��7KH�ELOO�FRQVLVWHG�RI�D�¿[HG�FKDUJH�RI��SOXV�D�FKDUJH�RI�$0.0075 per gallon for the water used in the quarter. For how many gallons of ZDWHU�ZDV�-XG\�FKDUJHG�IRU�WKH�TXDUWHU"

gallons


16

/LVW�5��/LVW�6��

The median of the numbers in list R is how much greater than the median of WKH�QXPEHUV�LQ�OLVW�6"

A 8

B 10

C 12

D 13

(� ��

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17

The two corporate sectors that increased their support for the arts from 1988 to 1991 PDGH�D�WRWDO�FRQWULEXWLRQ�LQ��RI�DSSUR[LPDWHO\�KRZ�PDQ\�PLOOLRQ�GROODUV" *LYH�\RXU�DQVZHU�WR�WKH�nearest 10 million dollars.

1988

0

10

20

30

40Percent

Financial, Insurance,Real Estate

Services Other

5%

26%

17%

22%

31%

20% 20%18%19%

8% 8%6%

1991

CORPORATE SUPPORT FOR THE ARTS BY SECTOR IN 1988 AND 1991Total for 1988: $630 millionTotal for 1991: $520 million

Manufacturing Retail Wholesale


18

How many of the six corporate sectors listed each contributed more than $60 million to WKH�DUWV�LQ�ERWK��DQG��"

A OneB TwoC Three

D Four(� )LYH

1988

0

10

20

30

40Percent


Services Other

5%

26%

17%

22%

31%

20% 20%18%19%

8% 8%6%

1991



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19

)URP��WR��ZKLFK�FRUSRUDWH�VHFWRU�GHFUHDVHG�LWV�VXSSRUW�IRU�WKH�DUWV�E\�WKH�JUHDWHVW�GROODU�DPRXQW"

$� 6HUYLFHV%� 0DQXIDFWXULQJC Retail

D Wholesale(� 2WKHU

1988

0

10

20

30

40Percent


Services Other

5%

26%

17%

22%

31%

20% 20%18%19%

8% 8%6%

1991




20

2I�WKH�UHWDLO�VHFWRUV��FRQWULEXWLRQ�WR�WKH�DUWV��ó�ZHQW�WR�V\PSKRQ\�RUFKHVWUD�DQG�½ of the remainder went to public television. Approximately how many million dollars more did the retail sector contribute to public television that year than to symphony RUFKHVWUD"�

A 5.2B 6.3C 10.4

D 13.0(� ��

1988

0

10

20

30

40Percent


Services Other

5%

26%

17%

22%

31%

20% 20%18%19%

8% 8%6%

1991



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21

☐ 0RUH�WKDQ�KDOI�RI�WKH�WLWOHV�GLVWULEXWHG�E\�L are also distributed by M.☐ 0RUH�WKDQ�KDOI�RI�WKH�WLWOHV�GLVWULEXWHG�E\�M are also distributed by L.☐ No titles are distributed by both L and M.

The total number of recording titles distributed by music distributors L and M�LV��7KH�QXPEHU�RI�UHFRUGLQJ�WLWOHV�GLVWULEXWHG�E\�L�LV��DQG�WKH�number of recording titles distributed by M�LV��:KLFK�RI�WKH�IROORZLQJ�VWDWHPHQWV�PXVW�EH�WUXH"

Indicate all such statements.


22

If c and d are positive integers and m is the greatest common factor of c and G��WKHQ�P�PXVW�EH�WKH�JUHDWHVW�FRPPRQ�IDFWRU�RI�F�DQG�ZKLFK�RI�WKH�IROORZLQJ�LQWHJHUV"

A c + d

B 2 + d

C cd

D 2d

(� G2

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23

The average (arithmetic mean) of the 11 numbers in the list is 14. If the DYHUDJH�RI��RI�WKH�QXPEHUV�LQ�WKH�OLVW�LV��ZKDW�LV�WKH�DYHUDJH�RI�WKH�RWKHU��QXPEHUV"


24

2I�WKH��SDUWLFLSDQWV�LQ�D�SURIHVVLRQDO�PHHWLQJ��DUH�IHPDOH�DQG�ò�RI�WKH�IHPDOH�DQG�ó�RI�WKH�PDOH�SDUWLFLSDQWV�DUH�OHVV�WKDQ�WKLUW\�\HDUV�ROG��,I�RQH�RI�WKH�SDUWLFLSDQWV�ZLOO�EH�UDQGRPO\�VHOHFWHG�WR�UHFHLYH�D�SUL]H��ZKDW�LV�WKH�SUREDELOLW\�WKDW�WKH�SHUVRQ�VHOHFWHG�ZLOO�EH�OHVV�WKDQ�WKLUW\�\HDUV�ROG"�

A 1»8

B 1»3

C 3»8

D 2»5

(� 3»4


25

,Q�WKH�[\�SODQH��ZKDW�LV�WKH�VORSH�RI�WKH�OLQH�ZKRVH�HTXDWLRQ�LV��[��\� ��"�

A -4

B -8»3

C 2»3

D 3»2

(� 2

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Success Prep GRE Practice Test 3a

Education

practice questions

real estate

recording

240 gre prac

power station

public television

square region

standard deviation