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GRE Practice Test 3aPowered by:
Success Prepwww.successprep.com
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
Practice Questions Courtesy: ets gre - www.ets.org/gre
02
Quantity Ax2 - 4y2
Quantity B8
(x - 2y)(x + 2y) = 4
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.
Practice Questions Courtesy: ets gre - www.ets.org/gre
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� ����
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.
Practice Questions Courtesy: ets gre - www.ets.org/gre
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.
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.
Practice Questions Courtesy: ets gre - www.ets.org/gre
05
Quantity Axy
Quantity B0.85
����[����y = 8
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.
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06
2�LV�WKH�FHQWHU�RI�WKH�FLUFOH��DQG�WKH�SHULPHWHU�RI�¨$2%�LV��
0 B
A
60o
Quantity AThe circumference of the circle
Quantity B12
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
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07
Quantity AThe standard deviation of a set of 5 GLIIHUHQW�LQWHJHUV��HDFK�RI�ZKLFK�LV�
between 0 and 10
Quantity BThe standard deviation of a set of 5 GLIIHUHQW�LQWHJHUV��HDFK�RI�ZKLFK�LV�
between 10 and 20
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
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08
Quantity Ax(x2)4
Quantity B(x3)3
x > 1
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
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09
Quantity A|x| + |-2|
Quantity B|x - 2|
[����
A Quantity A is greater.
B Quantity B is greater.
C Quantities A and B are equal.
D It is impossible to determine which quantity is greater.
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10
7x + 3y = 123x + 7y = 6
,I�[�DQG�\�VDWLVI\�WKH�V\VWHP�RI�HTXDWLRQ�DERYH��ZKDW�LV�WKH�YDOXH�RI�[���\�"
A 2»3
B 3»2
C 1
D 4
(� �
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11
☐ 12o
☐ 15o
☐ 45o
☐ 50o
☐ 70o
,Q�WULDQJOH�$%&��WKH�PHDVXUH�RI�DQJOH�$�LV���o and the measure of angle B is greater than 90o��:KLFK�RI�WKH�IROORZLQJ�FRXOG�EH�WKH�PHDVXUH�RI�DQJOH�&"
Indicate all such measures.
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12
What is the least integer n such that 1»2n ��������"
A 10
B 11
C 500
D 501
(� 7KHUH�LV�QR�VXFK�OHDVW�LQWHJHU
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13
,Q�WKH�VXQVKLQH��DQ�XSULJKW�SROH����IHHW�WDOO�LV�FDVWLQJ�D�VKDGRZ���IHHW�ORQJ��$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
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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
Practice Questions Courtesy: ets gre - www.ets.org/gre
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
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
Practice Questions Courtesy: ets gre - www.ets.org/gre
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
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
Practice Questions Courtesy: ets gre - www.ets.org/gre
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
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
Practice Questions Courtesy: ets gre - www.ets.org/gre
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.
Practice Questions Courtesy: ets gre - www.ets.org/gre
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"
Practice Questions Courtesy: ets gre - www.ets.org/gre
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
Practice Questions Courtesy: ets gre - www.ets.org/gre
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