GRE Preparation Kit 3 - Section 2

[Samuel]

SECTION 2

Time – 30 minutes

30 Questions

1. 5
   1
   4
   1
   
   20
   1
   x – y – 3 = 0

2. x y
   The average (arithmetic mean) of 3 numbers is 37.5.

3. The sum of the 3 numbers 100
   x >0
4. x
   1
   +1
   1
   1
   x 

5. The perimeter of The perimeter of a rectsquare with sides of angle with length 10 length 5 and width 2
   x is positive number and y is 30 percent of x

6. 25. percent of y 55 percent fo x

7. r v
   x < 0

8. x x

9. r
   r
   1
   m and n are positive integers.

10. m + n mn
     A bicycle registration costs $2.250 in City X and $3.00 in City Y. At these rates, the cost of 4
     registrations in City X is k percent of the cost of 3 registrations in City Y.

11. k 90

12. 2 1
    
    
    
    
     x
     x 2

13. The area of the triangular 6 region An identification code read from left to right consists of 2 digits, a
     dash, 3 digits, a dash, and then 4 digits. Each digit can be any number from 0 through 9.

14. The number of different 10 9 identification codes possible In a rectangular coordinate system, line k
     has x-intercept 4 and slope –2.

15. The y-intercept of k 2

16. Of the following, which is the closest approximation to
     3.02
     (1.5)(19.9)(4.012)
      ?
     (A) 400
     (B) 120
     (C) 100
     (D) 40
     (E) 10

17. If (x - 1) 2 = (x - 2) 2 , then x=
     (A) -8     5
     (B)  3     2
     (C)  3     4
     (D)  3     2
     (E)   2     5

18. In the figure above, the areas of square regions X and Y are 1 and 4, respectively. What is the area
     of the triangular region?
     (A) 2
     (B) 1
     (C) 4       3
     (D) 2       1
     (E) 4        1

19. If erasers cost $0.25 each, at most how many erasers can be purchased for n dollars, where n is an
     integer?
     (A) 25   n
     (B) 4     n
     (C) 4n
     (D) 25n
     (E) 4      25n

20. Three salespeople are paid commissions in proportion to the amount of their sales, which total
     $25, 000, $40, 000, and $60, 000, respectively. If a total of $20, 000 is allocated for these three
      commissions, what is the amount of the largest commission paid?
      (A) $8, 000
      (B) $8, 400
      (C) $9, 600
      (D) $10, 000
      (E) $12, 000

Questions 21-23 refer to the following information.

For a cash advance, a certain credit card company charges a transaction fee equal to a percent of the total amount of the cash advance, according to the graph below.

21. When compared with the transaction fee for a $1,000 cash advance, the transaction fee for a $500
     cash advance is
     (A) $5 more
     (B) $10 more
     (C) the same
     (D) $5 less
     (E) $10 less

22. For which of the following cash advance amounts is the transaction fee approximately $4?
     (A) $190
     (B) $420
     (C) $750
     (D) $1, 200
     (E) $1, 580

23. For a total of $1, 500 that is advanced in separate cash amounts, for which of the following is the
     total of the transaction fees the LEAST?
     (A) Two cash advances of $750
     (B) Three cash advances of $500
     (C) Six cash advances of $250
     (D) Two cash advances, one of $1, 100 and one of $400
     (E) Two cash advances, one of $1, 250 and one of $250

Questions 24-25 refer to the following information

24. What is the median nighttime charge for 360 minutes of calling?
     (A) $63.84
     (B) $71.40
     (C) $72.50
     (D) $87.92
     (E) $113.29

25. The daytime charge for 360 minutes of calling for phone service T is approximately what percent  
     more than the nighttime charge?
     (A) 7%
     (B) 14%
     (C) 28%
     (D) 33%
      (E) 40%

26. A square dart board has four dark circular regions of radius 3 inches as shown in the design above.  
     Each point on the dart board is equally likely to be hit by a dart that hits the board. What is the
     probability that a dart that hits the board will his one of the circular regions?
     (A) 16     
     (B) 48     
     (C) 64     
     (D) 3       1
     (E) 4        1

27. If x increased by 50 percent is equal to 20, then x =  
    (A) 3       40
    (B) 10  
    (C) 3      20
    (D) 5      
    (E) 4       3

28. In the rectangular coordinate plane, point A has coordinates (-4, 0), point B has coordinates (0, 4),
     point C has coordinates (4, 0), and point D has coordinates (0, -4). What is the area of quadrilateral
     ABCD?
     (A) 8
     (B) 16
     (C) 24
     (D) 32
     (E) 64

29. An experiment has three possible outcomes, l, J, and K. The probabilities of the outcomes are 0.25,  
     0.35, and 0.40, respectively. If the experiment is to be performed twice and the successive outcomes
     are independent, what is the probability that K will not be an outcome either time?
     (A) 0.36
     (B) 0.40
     (C) 0.60
     (D) 0.64
     (E) 0.80

30. If the inside diameter of a cylindrical garden hose is 1 inch, what is the length, in inches, of a straight
     hose that can hold a maximum of 1 gallon of water? (1 gallon = 231 cubic inches)
     (A) 231p
     (B)       231
     (C) 924
     (D) 924p
     (E)       924