GRE Practice Test 1aPowered by:

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Practice Questions Courtesy: barron's gre educational series inc.

01

Quantity AThe number of primes that are

divisible by 9

Quantity BThe number of primes that are

divisible by 19

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: barron's gre educational series inc.

02

Quantity AAC

Quantity BBC

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.

B

A C140o70o

Practice Questions Courtesy: barron's gre educational series inc.

03

Quantity Aa

Quantity B18

a - b = 5b - c = 5c - 3 = 5

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: barron's gre educational series inc.

04

Quantity AThe greatest prime factor of 490

Quantity BThe greatest prime factor of 500

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: barron's gre educational series inc.

05

Quantity AThe smallest number greater than

100 in the sequence

Quantity B120

7KH�¿UVW�WHUP�RI�D�VHTXHQFH�LV����6WDUWLQJ�ZLWK�WKH�VHFRQG�WHUP��each term is 1 less than 3 times the previous term.

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: barron's gre educational series inc.

06

Quantity A7KH�SHULPHWHU��LQ�LQFKHV�RI�WKH�

¿JXUH�DERYH

Quantity B300

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.

5'4"

9'2"

17 1»4"

11 1»4"

10 1»4"

8"

8"

,Q�WKH�VWDLU�XQLW�LQ�WKH�¿JXUH�DERYH��DOO�WKH�DQJOHV�DUH�ULJKW�DQJOHV��7KH�OHIW�VLGH�LV������DQG�WKH�ERWWRP�LV������(DFK�YHUWLFDO�ULVHU�LV�����7KH�WRS�VWHS�LV���ó���DQG�HDFK�VWHS�EHORZ�LW�LV����more than the preceeding step.

Practice Questions Courtesy: barron's gre educational series inc.

07

Quantity A(a + b)2

Quantity B(a - b)2

DE����

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: barron's gre educational series inc.

08

Quantity A R r

Quantity B1.5

The radius of the large circle is R.The radius of the small circle is r.

The areas of the shaded region and the white region are equal.

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: barron's gre educational series inc.

09

7KH�DUHD�RI�D�ULJKW�WULDQJOH�ZKROH�VLGHV�DUH������DQG����LV�KRZ�PDQ\�WLPHV�WKH�DUHD�RI�D�ULJKW�WULDQJOH�ZKRVH�VLGHV�DUH������DQG��"

A 2

B 3

C 4

D 6

(� �

Practice Questions Courtesy: barron's gre educational series inc.

10

,I�WKH�DYHUDJH��DULWKPHWLF�PHDQ��RI�[��\�DQG�]�LV�����ZKLFK�RI�WKH�IROORZLQJ�LV�WKH�YDOXH�RI�]�LQ�WHUPV�RI�[�DQG�\"

A 20 - x - y

B 20 + x + y

C 40 - x - y

D 40 + x + y

(� �����[���\

Practice Questions Courtesy: barron's gre educational series inc.

11

☐ 0

☐ 1»4

☐ 1»2

☐ 3»4

☐ 1

$�DQG�%�DUH�LQGHSHQGHQW�HYHQWV��DQG�WKH�SUREDELOLW\�WKDW�ERWK�HYHQWV�RFFXU�LV�ò��:KLFK�RI�WKH�IROORZLQJ�FRXOG�EH�WKH�SUREDELOLW\�WKDW�HYHQW�$�RFFXUV"Indicate all such probabilities.

Practice Questions Courtesy: barron's gre educational series inc.

12

If m2� �����WKHQ�ZKDW�LV�WKH�YDOXH�RI��P������P�����"

A 17 - 1

B 17 + 1

C 16

D 18

(� ���

Practice Questions Courtesy: barron's gre educational series inc.

13

,I�D��E��[�DQG�\�DUH�SRVLWLYH�LQWHJHUV��DQG���a × 13b = (13x)y = 1313��ZKDW�LV�WKH�DYHUDJH��DULWKPHWLF�PHDQ��RI�D��E��[�DQG�\"

Practice Questions Courtesy: barron's gre educational series inc.

14

2005 05101520253035404550

20001995199019852005 02468

101214161820

2000199519901985

,Q�����������RI�WKH�&HQWUDO�&LW\�6FKRRO�'LVWULFWV�WRWDO�H[SHQGLWXUHV�FDPH�IURP�ORFDO�SURSHUW\�WD[HV��DQG�WKH�UHVW�FDPH�IURP�WKH�VWDWH�JRYHUQPHQWV�$LG�WR�6FKRROV�3URJUDP��,I�WKH�VWDWH�KDG�UHGXFHG�LWV�DLG�WR�WKH�GLVWULFW�E\������E\�ZKDW�SHUFHQWDJH�would local property taxes have had to be increased in order for the district to maintain WKH�VDPH�OHYHO�RI�H[SHQGLWXUHV"

Expenditures by the Central City School District

([SHQGLWXUHV�SHU�6WXGHQW(in thousands of dollars)

7RWDO�([SHQGLWXUHV(in millions of dollars)

$� ���%� �����&� ���

'� ���(� ����

Practice Questions Courtesy: barron's gre educational series inc.

15

2005 05101520253035404550

20001995199019852005 02468

101214161820

2000199519901985

)URP�WKH�JUDSKV��LW�FDQ�EH�LQIHUUHG�WKDW�WKH�QXPEHU�RI�VWXGHQWV�LQ�WKH�&HQWUDO�&LW\�6FKRRO�GLVWULFW�LQ������ZDV�FORVHVW�WR�ZKLFK�RI�WKH�IROORZLQJ�

Expenditures by the Central City School District

([SHQGLWXUHV�SHU�6WXGHQW(in thousands of dollars)

7RWDO�([SHQGLWXUHV(in millions of dollars)

$� �����%� �����&� �����

'� �����(� �����

Practice Questions Courtesy: barron's gre educational series inc.

16

2005 05101520253035404550

20001995199019852005 02468

101214161820

2000199519901985

%DVHG�RQ�WKH�LQIRUPDWLRQ�LQ�WKH�WZR�JUDSKV��E\�ZKDW�SHUFHQW�GLG�WKH�QXPEHU�RI�VWXGHQWV�LQ�WKH�&HQWUDO�&LW\�6FKRRO�GLVWULFW�LQFUHDVH�IURP������DQG�����"

percent

Expenditures by the Central City School District

([SHQGLWXUHV�SHU�6WXGHQW(in thousands of dollars)

7RWDO�([SHQGLWXUHV(in millions of dollars)

Practice Questions Courtesy: barron's gre educational series inc.

17

The circumference of a circle is 12. Which of the following is closest to the DUHD�RI�WKH�FLUFOH�"

A 6

B 12

C 18

D 24

(� ��

Practice Questions Courtesy: barron's gre educational series inc.

18

☐ 1

☐ 5»4

☐ 4»3

☐ 3»2

☐ 5»3

☐ 7»4

☐ 2

,I�D�OLQH�SDVVHV�WKURXJK�WKH�RULJLQ�DQG�WKH�SRLQW�����G���ZKHUH�����G������ZKLFK�RI�WKH�IROORZLQJ�FRXOG�EH�WKH�VORSH�RI�WKH�OLQH"�Indicate all such slopes.

Practice Questions Courtesy: barron's gre educational series inc.

19

A rectangle is drawn in a standard xy-coordinate plane. If the sides of the UHFWDQJOH�DUH�QRW�SDUDOOHO�WR�WKH�D[HV��ZKDW�LV�WKH�SURGXFW�RI�WKH�VORSH�RI�WKH�IRXU�VLGHV"

A -1

B 0

C 1

D 2

(� ,W�FDQQRW�EH�GHWHUPLQHG�IURP�WKH�LQIRUPDWLRQ�JLYHQ�

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

20

If 1 + a 2 ������ZKDW�LV�WKH�YDOXH�RI� 1 + a2

a a2( )

Practice Questions Courtesy: barron's gre educational series inc.

21ANSWER KEY

1. B2. C3. C4. A5. A6. A7. D8. B9. C10. E11. C,D,E12. C13. 6.7514. B15. B16. 2517. B18. B,C,D,E,F19. C20. 98