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GRE Practice Test 2b
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01

           Quantity A                                                   Quantity B
    The sum of the integers                                     The product of the integers
    from -11 to 11, inclusive                                    from -11 to 11, inclusive.




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

                                  a and b are primes
                                      a + b = 12

           Quantity A                                                         Quantity B
              b                                                                  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.




                   Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
03

           Quantity A                                                  Quantity B
    The perimeter of a square                                  The circumfrence of a circle
    whose sides are x inches                                   whose diameter is x inches




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 A                                                Quantity B
      The probability of getting all                            The probability of getting no
    heads when a fair coin is flipped                         heads when a fair coin is flipped
               5 times                                                   5 times


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 A                                                Quantity B
    The sum of the areas of two                           The area of one equilateral triangle
    equilateral triangles whose                                  whose sides are 20
           sides are 10


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 A                                               Quantity B
The number of 3-digit integers all of                    The number of 3-digit integers all of
      whose digits are even.                                   whose digits are odd




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.
07




                         The sides of the large square are S.
                         The sides of the small square are s.
            The area of the shaded region and the white region are equal.

            Quantity A                                                          Quantity B
               S                                                                   1.5
               s
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.
A                               B                        08




                                        D                               C
    The shaded region above is bounded by two semicircles and two sides of square ABCD.
                        The perimeter of the shaded region is 4 + 2π


               Quantity A                                                           Quantity B
             The area of the                                                           1
             shaded 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: BARRON'S GRE EDUCATIONAL SERIES INC.
09

Scott has b baseball cards. Brian has one card more than Scott has. Adam
has three fewer than Scott has. In terms of b, how many cards do the three
boys have together?




A    b-2

B    b-1

C    3b

D    3b - 1

E    3b - 2

                   Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
10

Consider the following list of numbers that represents the number of text
messages that Geraldine received on 10 consecutive days:
10, 9, 1, 3, 7, 7, 8, 3, 4, 3.

Which of the following statements concerning this set of data are true?

Indicate all such lengths.




☐    The median is less than the average (arithmetic mean).
☐    The median is less than the mode.
☐    The mode is less than the average.
☐    The average of the median and the mode is between 4 and 4.5.


                     Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
y                                                                   11

                       A (3,5)




                                                               x
                   O                      B (8,0)

In the figure above, what is the area of ∆OAB


A    12

B    16

C    20

D    24

E    40

                   Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
12

Water enters a vat, whose capacity is 60 liters, through a faucet at the top
and leaves the vat through a drain at the bottom. If the vat is empty, the drain
is open, and water starts to flow through the faucet at a constant rate of 5
liters per minute, it takes exactly 50 minutes until the vat is full. At what rate,
in liters per minute, is water flowing through the drain?

                               liters per minute




                     Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
13

The price of a quart of milk was increased by 20%. How many quarts of milk
can be purchased for the amount of money that used to buy 30 quarts of
milk?




A    24

B    25

C    28

D    32

E    36

                   Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
14
                                                Political Campaign Receipts
            Millions of dollars
      500
      450                                   Democratic receipts, net
      400
                                            Republican receipts, net
      350
      300
      250
      200
      150
      100
       50
        0
                 2


                           4



                                        6


                                                   8



                                                               0


                                                                          2



                                                                                     4



                                                                                                6
                -8


                         -8



                                      -8


                                                 -8



                                                             -9


                                                                        -9



                                                                                   -9



                                                                                               -9
              81


                        83



                                     85


                                               87



                                                           89


                                                                      91



                                                                                 93



                                                                                             95
            19


                      19



                                   19


                                             19



                                                          19


                                                                    19



                                                                               19



                                                                                           19
In which of the following pairs of years were the ratios of Republican receipts to
Democratic receipts most nearly equal?


A     1981 - 82 and 1985 - 86
                                                                    D        1987 - 88 and 1995 - 96
B     1983 - 84 and 1995 - 96
                                                                    E        1991 - 92 and 1993 - 94
C     1987 - 88 and 1989 - 90
                                  Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
15
                                               Political Campaign Receipts
           Millions of dollars
     500
     450                                   Democratic receipts, net
     400
                                           Republican receipts, net
     350
     300
     250
     200
     150
     100
      50
       0
                2


                          4



                                       6


                                                  8



                                                              0


                                                                         2



                                                                                    4



                                                                                               6
               -8


                        -8



                                     -8


                                                -8



                                                            -9


                                                                       -9



                                                                                  -9



                                                                                              -9
             81


                       83



                                    85


                                              87



                                                          89


                                                                     91



                                                                                93



                                                                                            95
           19


                     19



                                  19


                                            19



                                                         19


                                                                   19



                                                                              19



                                                                                          19
Between which two consecutive two-year periods was there the greatest percent
increase in the Democratic receipts?


A    1981 - 82 and 1983 - 84
                                                                   D        1991 - 92 and 1993 - 94
B    1985 - 86 and 1987 - 88
                                                                   E        1993 - 94 and 1995 - 96
C    1989 - 90 and 1991 - 92
                                 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
Political Campaign Receipts                                        16
            Millions of dollars
      500
      450                                   Democratic receipts, net
      400
                                            Republican receipts, net
      350
      300
      250
      200
      150
      100
       50
        0
                 2


                           4



                                        6


                                                   8



                                                               0


                                                                          2



                                                                                     4



                                                                                                6
                -8


                         -8



                                      -8


                                                 -8



                                                             -9


                                                                        -9



                                                                                   -9



                                                                                               -9
              81


                        83



                                     85


                                               87



                                                           89


                                                                      91



                                                                                 93



                                                                                             95
            19


                      19



                                   19


                                             19



                                                          19


                                                                    19



                                                                               19



                                                                                           19
Indicate all such statements.
☐      From 1981 - 1996, inclusive, Republican receipts were more than 2 billion dollars.
       (Note: 1 billion = 1,000 million)

☐      The ratio of Republican receipts to Democratic receipts was greater than 2:1 in more than half of the two
       year periods covered in the graph.

☐      Republican receipts in 1995 - 1996 exceeded the total of Democratic receipts for the 10 years from
       1981 - 1990

☐      The two-year period in which the ratio of Republican receipts to Democratic receipts was the greatest was
       1981 - 1982


                                  Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
17

Last year Leo bought two paintings. This year he sold them for $2,000 each.
On one, he made a 25% profit, and on the other he had a 25% loss. What
was his net loss or profit?




A    He broke even.

B    He lost less than $100.

C    He lost more than $100

D    He earned less than $100

E    He earned more than $100.

                   Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
18

If c and d are odd positive integers, which of the following could be odd?

Indicate all such expressions.




☐    cd
☐    cd+1
☐    (c + 1)d+1
☐    (c + d)(c+d)
☐    cd
     dc




                    Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
19

Let P and Q be points which are two inches apart, and let A be the area,
in square inches, of a circle which passes through P and Q. Which of the
following is the set of all possible values of A?




A    0<A

B    0<A≤π

C    A=π

D    A>π

E    A≥π

                   Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
20

If the total surface area of a cube is 864, what is the volume of the cube?




                    Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
21
                               ANSWER KEY
1. C
2. B
3. A
4. C
5. B
6. B
7. B
8. B
9. D
10. C,D
11. C
12. 3.8
13. 25
14. C
15. A
16. A,B,C,D
17. C
18. A,B,E
19. E
20. 1,728



              Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.

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Success Prep GRE Practice Test 2b

  • 1. GRE Practice Test 2b Powered by: Success Prep www.successprep.com
  • 2. 01 Quantity A Quantity B The sum of the integers The product of the integers from -11 to 11, inclusive from -11 to 11, inclusive. 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.
  • 3. 02 a and b are primes a + b = 12 Quantity A Quantity B b 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. Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 4. 03 Quantity A Quantity B The perimeter of a square The circumfrence of a circle whose sides are x inches whose diameter is x inches 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.
  • 5. 04 Quantity A Quantity B The probability of getting all The probability of getting no heads when a fair coin is flipped heads when a fair coin is flipped 5 times 5 times 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.
  • 6. 05 Quantity A Quantity B The sum of the areas of two The area of one equilateral triangle equilateral triangles whose whose sides are 20 sides are 10 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.
  • 7. 06 Quantity A Quantity B The number of 3-digit integers all of The number of 3-digit integers all of whose digits are even. whose digits are odd 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.
  • 8. 07 The sides of the large square are S. The sides of the small square are s. The area of the shaded region and the white region are equal. Quantity A Quantity B S 1.5 s 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.
  • 9. A B 08 D C The shaded region above is bounded by two semicircles and two sides of square ABCD. The perimeter of the shaded region is 4 + 2π Quantity A Quantity B The area of the 1 shaded 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: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 10. 09 Scott has b baseball cards. Brian has one card more than Scott has. Adam has three fewer than Scott has. In terms of b, how many cards do the three boys have together? A b-2 B b-1 C 3b D 3b - 1 E 3b - 2 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 11. 10 Consider the following list of numbers that represents the number of text messages that Geraldine received on 10 consecutive days: 10, 9, 1, 3, 7, 7, 8, 3, 4, 3. Which of the following statements concerning this set of data are true? Indicate all such lengths. ☐ The median is less than the average (arithmetic mean). ☐ The median is less than the mode. ☐ The mode is less than the average. ☐ The average of the median and the mode is between 4 and 4.5. Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 12. y 11 A (3,5) x O B (8,0) In the figure above, what is the area of ∆OAB A 12 B 16 C 20 D 24 E 40 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 13. 12 Water enters a vat, whose capacity is 60 liters, through a faucet at the top and leaves the vat through a drain at the bottom. If the vat is empty, the drain is open, and water starts to flow through the faucet at a constant rate of 5 liters per minute, it takes exactly 50 minutes until the vat is full. At what rate, in liters per minute, is water flowing through the drain? liters per minute Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 14. 13 The price of a quart of milk was increased by 20%. How many quarts of milk can be purchased for the amount of money that used to buy 30 quarts of milk? A 24 B 25 C 28 D 32 E 36 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 15. 14 Political Campaign Receipts Millions of dollars 500 450 Democratic receipts, net 400 Republican receipts, net 350 300 250 200 150 100 50 0 2 4 6 8 0 2 4 6 -8 -8 -8 -8 -9 -9 -9 -9 81 83 85 87 89 91 93 95 19 19 19 19 19 19 19 19 In which of the following pairs of years were the ratios of Republican receipts to Democratic receipts most nearly equal? A 1981 - 82 and 1985 - 86 D 1987 - 88 and 1995 - 96 B 1983 - 84 and 1995 - 96 E 1991 - 92 and 1993 - 94 C 1987 - 88 and 1989 - 90 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 16. 15 Political Campaign Receipts Millions of dollars 500 450 Democratic receipts, net 400 Republican receipts, net 350 300 250 200 150 100 50 0 2 4 6 8 0 2 4 6 -8 -8 -8 -8 -9 -9 -9 -9 81 83 85 87 89 91 93 95 19 19 19 19 19 19 19 19 Between which two consecutive two-year periods was there the greatest percent increase in the Democratic receipts? A 1981 - 82 and 1983 - 84 D 1991 - 92 and 1993 - 94 B 1985 - 86 and 1987 - 88 E 1993 - 94 and 1995 - 96 C 1989 - 90 and 1991 - 92 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 17. Political Campaign Receipts 16 Millions of dollars 500 450 Democratic receipts, net 400 Republican receipts, net 350 300 250 200 150 100 50 0 2 4 6 8 0 2 4 6 -8 -8 -8 -8 -9 -9 -9 -9 81 83 85 87 89 91 93 95 19 19 19 19 19 19 19 19 Indicate all such statements. ☐ From 1981 - 1996, inclusive, Republican receipts were more than 2 billion dollars. (Note: 1 billion = 1,000 million) ☐ The ratio of Republican receipts to Democratic receipts was greater than 2:1 in more than half of the two year periods covered in the graph. ☐ Republican receipts in 1995 - 1996 exceeded the total of Democratic receipts for the 10 years from 1981 - 1990 ☐ The two-year period in which the ratio of Republican receipts to Democratic receipts was the greatest was 1981 - 1982 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 18. 17 Last year Leo bought two paintings. This year he sold them for $2,000 each. On one, he made a 25% profit, and on the other he had a 25% loss. What was his net loss or profit? A He broke even. B He lost less than $100. C He lost more than $100 D He earned less than $100 E He earned more than $100. Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 19. 18 If c and d are odd positive integers, which of the following could be odd? Indicate all such expressions. ☐ cd ☐ cd+1 ☐ (c + 1)d+1 ☐ (c + d)(c+d) ☐ cd dc Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 20. 19 Let P and Q be points which are two inches apart, and let A be the area, in square inches, of a circle which passes through P and Q. Which of the following is the set of all possible values of A? A 0<A B 0<A≤π C A=π D A>π E A≥π Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 21. 20 If the total surface area of a cube is 864, what is the volume of the cube? Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.
  • 22. 21 ANSWER KEY 1. C 2. B 3. A 4. C 5. B 6. B 7. B 8. B 9. D 10. C,D 11. C 12. 3.8 13. 25 14. C 15. A 16. A,B,C,D 17. C 18. A,B,E 19. E 20. 1,728 Practice Questions Courtesy: BARRON'S GRE EDUCATIONAL SERIES INC.