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GRE Practice Test 3bPowered by:
Success Prepwww.successprep.com
Practice Questions Courtesy: ets gre - www.ets.org/gre
01
Quantity Ax - y
Quantity By - x
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.
x is a positive integer and
y is a negative integer
Practice Questions Courtesy: ets gre - www.ets.org/gre
02
Quantity AThe probability that event E will
occur
Quantity B0.58
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.
The probability that both events E
and F will occur is 0.42
Practice Questions Courtesy: ets gre - www.ets.org/gre
03
yoP
Q
SPS = SR
R
xo
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.
Practice Questions Courtesy: ets gre - www.ets.org/gre
04
Quantity Aa
b
Quantity Ba + 3
b + 3
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.
a and b are positive integers
Practice Questions Courtesy: ets gre - www.ets.org/gre
05
Quantity AThe average of the 150
measurements
Quantity B25
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.
The average (arithmetic mean) of 100 measurements is 23, and the average
of 50 additional measurements is 27.
Practice Questions Courtesy: ets gre - www.ets.org/gre
06
(3,4)
O
yk
x
Quantity AThe slope of line k
Quantity B1
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
07
Quantity AThe value of k
Quantity B-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.
One of the roots of the equation x2���N[����� ���LV����DQG�N�LV�D�FRQVWDQW�
Practice Questions Courtesy: ets gre - www.ets.org/gre
08
Quantity AThe price at which the suit was sold
Quantity B����RI�WKH�VXLWV�VXJJHVWHG�UHWDLO�
price
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.
7KH�RULJLQDO�SULFH�RI�D�VXLW�ZDV����SHUFHQW�OHVV�WKDQ�WKH�VXLWV������suggested retail price. The price at which the suit was sold was 20 percent
less than the original price.
Practice Questions Courtesy: ets gre - www.ets.org/gre
09
Quantity AThe area of rectangular area ABCD
Quantity B7KH�DUHD�RI�WKH�WUDSH]RLGDO�UHJLRQ�
()*+
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.
BF
CG
A ED H8
3 4
5
7
Practice Questions Courtesy: ets gre - www.ets.org/gre
10
,I�M�DQG�N�DUH�LQWHJHUV�DQG�M�N�LV�HYHQ��ZKLFK�RI�WKH�IROORZLQJ�PXVW�EH�HYHQ"
A k
B jk
C j + 2k
D jk + j
(� MN����M
Practice Questions Courtesy: ets gre - www.ets.org/gre
11
The circles shown are tangent at point B. Point A is the center of the large FLUFOH��DQG�OLQH�VHJPHQW�$%��QRW�VKRZQ��LV�WKH�GLDPHWHU�RI�WKH�VPDOO�FLUFOH��7KH�DUHD�RI�WKH�VPDOOHU�FLUFOH�LV�ZKDW�IUDFWLRQ�RI�WKH�DUHD�RI�WKH�ODUJH�FLUFOH"
BA
Practice Questions Courtesy: ets gre - www.ets.org/gre
12
☐ $40,200
☐ $43,350
☐ $47,256
☐ $51,996
☐ $53,808
/DVW�\HDU��.DWH�VSHQW�EHWZHHQ�ó�DQG��1»3 of her gross income on her PRUWJDJH�SD\PHQWV��,I�.DWH�VSHQW���������RQ�KHU�PRUWJDJH�SD\PHQWV�ODVW�\HDU��ZKLFK�RI�WKH�IROORZLQJ�FRXOG�KDYH�EHHQ�KHU�JURVV�LQFRPH�ODVW�\HDU"
Indicate all such gross incomes.
Practice Questions Courtesy: ets gre - www.ets.org/gre
13
,Q�6WDWH�;��DOO�YHKLFOH�OLFHQVH�SODWHV�KDYH���OHWWHUV�IURP�WKH����OHWWHUV�RI�WKH�alphabet followed by 3 one-digit numbers. How many different license plates FDQ�6WDWH�;�KDYH�LI�UHSHWLWLRQ�RI�OHWWHUV�DQG�QXPEHUV�LV�DOORZHG"
$� ������
%� ������
&� ������
'� �������
(� �������
Practice Questions Courtesy: ets gre - www.ets.org/gre
14
,I�S�LV�D�QHJDWLYH�QXPEHU�DQG�����V���_S_��ZKLFK�RI�WKH�IROORZLQJ�PXVW�DOVR�EH�D�QHJDWLYH�QXPEHU"
A (p + s)2
B (p - s)2
C (s - p)2
D p2 - s2
(� V2 - p2
Practice Questions Courtesy: ets gre - www.ets.org/gre
15
,I����������� ���������WKHQ�[�H[SUHVVHG�LQ�WHUPV�RI�P�LV� 2m 2m 2x
$� P��
B m - 1
C m + 1
D 2m
(� P2
Practice Questions Courtesy: ets gre - www.ets.org/gre
16
7KH�¿JXUH�VKRZV�D�QRUPDO�GLVWULEXWLRQ�ZLWK�PHDQ�P�DQG�VWDQGDUG�GHYLDWLRQ�G��including approximate percents of the distribution in each of the six regions shown. )RU�D�SRSXODWLRQ�RI���������VXEZD\�ULGHUV��WKH�QXPEHUV�RI�VXEZD\�WULSV�WDNHQ�SHU�rider last January are approximately normally distributed with a mean of 56 trips and a standard deviation of 13 trips. Approximately how many of the riders took between 30 DQG����WULSV�ODVW�-DQXDU\"
$� ������%� �������&� �������
'� �������(� �������
34% 34%
14%14%
m-2d m+2dm-dm +dm
2% 2%
m
Practice Questions Courtesy: ets gre - www.ets.org/gre
17
'LVWULEXWLRQ�RI�(QUROOPHQW�E\�&ODVV�DQG�*HQGHU��7RWDO�(QUROOPHQW�������
Class Males Females
Freshmen 303 259Sophomores 215 109Juniors 182 88Seniors 160 84Total 860 540
3HUFHQW�RI�7RWDO�(QUROOPHQW�0DMRULQJ�LQ�6HOHFWHG�$FDGHPLF�$UHDV�
Area Percent
Humanities 33%Social Sciences 30%Physical Sciences 24%
1RWH� No student is majoring in more than one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
The ratio of the number of male freshmen to the number of female sophomores is DSSUR[LPDWHO\"
A 2 to 1B 3 to 1C 3 to 2
D 4 to 1(� ��WR��
Practice Questions Courtesy: ets gre - www.ets.org/gre
18
'LVWULEXWLRQ�RI�(QUROOPHQW�E\�&ODVV�DQG�*HQGHU��7RWDO�(QUROOPHQW�������
Class Males Females
Freshmen 303 259Sophomores 215 109Juniors 182 88Seniors 160 84Total 860 540
3HUFHQW�RI�7RWDO�(QUROOPHQW�0DMRULQJ�LQ�6HOHFWHG�$FDGHPLF�$UHDV�
Area Percent
Humanities 33%Social Sciences 30%Physical Sciences 24%
1RWH� No student is majoring in more than one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
,I�WKH�WRWDO�HQUROOPHQW�LV����SHUFHQW�JUHDWHU�WKDQ�LW�ZDV�¿YH�\HDUV�DJR��ZKDW�ZDV�WKH�WRWDO�HQUROOPHQW�¿YH�\HDUV�DJR"
$� �����%� �����&� �����
'� �����(� �����
Practice Questions Courtesy: ets gre - www.ets.org/gre
19
'LVWULEXWLRQ�RI�(QUROOPHQW�E\�&ODVV�DQG�*HQGHU��7RWDO�(QUROOPHQW�������
Class Males Females
Freshmen 303 259Sophomores 215 109Juniors 182 88Seniors 160 84Total 860 540
3HUFHQW�RI�7RWDO�(QUROOPHQW�0DMRULQJ�LQ�6HOHFWHG�$FDGHPLF�$UHDV�
Area Percent
Humanities 33%Social Sciences 30%Physical Sciences 24%
1RWH� No student is majoring in more than one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
+RZ�PDQ\�VWXGHQWV�DUH�HLWKHU�MXQLRUV�RU�PDOHV�RU�ERWK"
A 678B 766C 948
'� �����(� �����
Practice Questions Courtesy: ets gre - www.ets.org/gre
20
'LVWULEXWLRQ�RI�(QUROOPHQW�E\�&ODVV�DQG�*HQGHU��7RWDO�(QUROOPHQW�������
Class Males Females
Freshmen 303 259Sophomores 215 109Juniors 182 88Seniors 160 84Total 860 540
3HUFHQW�RI�7RWDO�(QUROOPHQW�0DMRULQJ�LQ�6HOHFWHG�$FDGHPLF�$UHDV�
Area Percent
Humanities 33%Social Sciences 30%Physical Sciences 24%
1RWH� No student is majoring in more than one area.
STUDENT ENROLLMENT AT A SMALL COLLEGE
:KLFK�RI�WKH�IROORZLQJ�VWDWHPHQWV�PXVW�EH�WUXH"
Indicate all such statements.
☐ The number of males majoring in physical sciences is greater than the number of females majoring in that area.
☐ 6WXGHQWV�PDMRULQJ�LQ�HLWKHU�VRFLDO�VFLHQFHV�RU�SK\VLFDO�VFLHQFHV�FRQVWLWXWH�PRUH�WKDQ��� percent of the total enrollment.
☐ The ratio of the number of males to the number of females in the senior class is less than 2 to 1.
Practice Questions Courtesy: ets gre - www.ets.org/gre
21
7KH�TXDQWLWLHV�6�DQG�7�DUH�SRVLWLYH�DQG�DUH�UHODWHG�E\�WKH�HTXDWLRQ�6� �k»T ZKHUH�N�LV�D�FRQVWDQW��,I�WKH�YDOXH�RI�6�LQFUHDVHV�E\����SHUFHQW��WKHQ�WKH�YDOXH�RI�7�GHFUHDVHV�E\�ZKDW�SHUFHQW"
$� ���
B 33 1»3%
&� ���
D 66 2»3%
(� ���
Practice Questions Courtesy: ets gre - www.ets.org/gre
22
,I�[�DQG�\�DUH�WKH�WHQV�GLJLW�DQG�WKH�XQLWV�GLJLW��UHVSHFWLYHO\��RI�WKH�SURGXFW�����������������ZKDW�LV�WKH�YDOXH�RI�[���\�"
A 12
B 10
C 8
D 6
(� �
Practice Questions Courtesy: ets gre - www.ets.org/gre
23
A developer has land that has x feet of lake frontage. The land is to be VXEGLYLGHG�LQWR�ORWV��HDFK�RI�ZKLFK�LV�WR�KDYH�HLWKHU����IHHW�RU�����IHHW�RI�ODNHfrontage. If 1»9 of the lots are to have 80 feet of frontage each and the UHPDLQLQJ����ORWV�DUH�WR�KDYH�����IHHW�RI�IURQWDJH�HDFK��ZKDW�LV�WKH�YDOXH�RI�[�"
A 400
%� �����
&� �����
'� �����
(� �����
Practice Questions Courtesy: ets gre - www.ets.org/gre
24
����������������������������������������\7KH�WZHOYH�QXPEHUV�VKRZQ�UHSUHVHQW�WKH�DJHV��LQ�\HDUV��RI�WKH�WZHOYH�KRXVHV�RQ�D�FHUWDLQ�FLW\�EORFN��:KDW�LV�WKH�PHGLDQ�DJH��LQ�\HDUV��RI�WKH�WZHOYH�KRXVHV�RQ�WKH�EORFN"
years
Practice Questions Courtesy: ets gre - www.ets.org/gre
25
☐ 2.5☐ 3.0☐ 3.5☐ 4.0☐ 4.5☐ 5.0☐ 5.5☐ 6.0
7KH�¿JXUH�VKRZV�OLQH�VHJPHQW�34�DQG�D�FLUFOH�ZLWK�UDGLXV���DQG�FHQWHU��������LQ�WKH�xy-plane. Which of the following values could be the distance between a point on OLQH�VHJPHQW�34�DQG�D�SRLQW�RQ�WKH�FLUFOH"
Indicate all such values.
(1,3)
(1,1)
O
y
x