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Page 1: Success Prep GRE Practice Test 3b

GRE Practice Test 3bPowered by:

Success Prepwww.successprep.com

Page 2: Success Prep GRE Practice Test 3b

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

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Page 3: Success Prep GRE Practice Test 3b

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

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Page 4: Success Prep GRE Practice Test 3b

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.

Page 5: Success Prep GRE Practice Test 3b

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

Page 6: Success Prep GRE Practice Test 3b

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.

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Page 7: Success Prep GRE Practice Test 3b

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.

Page 8: Success Prep GRE Practice Test 3b

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�

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Page 9: Success Prep GRE Practice Test 3b

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.

Page 10: Success Prep GRE Practice Test 3b

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

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Page 11: Success Prep GRE Practice Test 3b

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

Page 12: Success Prep GRE Practice Test 3b

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

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Page 13: Success Prep GRE Practice Test 3b

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.

Page 14: Success Prep GRE Practice Test 3b

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"

$� ������

%� ������

&� ������

'� �������

(� �������

Page 15: Success Prep GRE Practice Test 3b

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

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Page 16: Success Prep GRE Practice Test 3b

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

Page 17: Success Prep GRE Practice Test 3b

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

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Page 18: Success Prep GRE Practice Test 3b

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��

Page 19: Success Prep GRE Practice Test 3b

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"

$� �����%� �����&� �����

'� �����(� �����

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Page 20: Success Prep GRE Practice Test 3b

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

'� �����(� �����

Page 21: Success Prep GRE Practice Test 3b

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.

Page 22: Success Prep GRE Practice Test 3b

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%

(� ���

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Page 23: Success Prep GRE Practice Test 3b

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

(� �

Page 24: Success Prep GRE Practice Test 3b

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

%� �����

&� �����

'� �����

(� �����

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Page 25: Success Prep GRE Practice Test 3b

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

Page 26: Success Prep GRE Practice Test 3b

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

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