GRE Preparation Kit 2 - Section 5

[Samuel]

SECTION 5

Time –30 minutes

30 Questions

To the nearest hundredth, = 3.14 and 10 = 3.16

1. 2 10
    A marble is to be drawn at random from a bag that contains 2 yellow marbles, 4 blue marbles, 6 
    green marbles, and no other marbles.

2. The probability that the The probability that the marble drawn will be marble drawn will be green
    yellow or blue

3. 3
    1
    250
    2
    1
    250
    x + y + n = 15
    x + y + k = 9

4. n – k 6
    In the rectangular coordinate system, line k passes through the points (0,0) and (4,8); line m   
    passes through the points (0,1) and (4,9).

5. The slope of line k The slope of line m The vertices of an equilateral triangle are on a circle.

6. The length of a side The diameter of of the triangle the circle

7. 11
    1
    0.09
    XQY and ZYR are equilateral triangles, and the ratio of ZR to PR is 1 to 4.

8. The perimeter of

9. x + y 2(x + y) In a certain store, computer X costs 30 percent more than computer Y, and
    computer Y costs 30 percent more than computer Z.

10. The cost of computer X The cost of computer Y minus the cost of minus the cost of computer Y.
      computer Z.
      x 2 y < 0

11. xy 0

12. y 4x
     m is a positive integer less than 4.

13. (m + 2) m m m2
      1
      1
      
      
       x
       x
       =
       x
       1
       x 1

14. x -2
      1
      The median of 10, 15, x, and y is 18.5, and x<y.

15. x 22

16. The cost, is dollars, for and appliance repair at a certain company is 1.2p + 20h, where p is the 
      wholesale price of the parts, in dollars, and h is the number of hours it takes to repair the
       appliance. What is the cost of repairing an appliance if the wholesale price of the parts is $15
       and it takes 2 hours to repair it?
       (A) $12
       (B) $18
       (C) $20
       (D) $40
       (E) $58

17. For what value of x will 8 + (x -3) 2 have the least value?
     (A) –3
     (B) 0
     (C) 3
     (D) 5
     (E) 8

18. How many integers from 3 to 30, inclusive, are odd?
      (A) 13
      (B) 14
      (C) 15
      (D) 16
      (E) 17

19. In the figure above, ABCE is a square. What are the coordinates of point B?
      (A) (-4,2)
      (B) (-2,4)
      (C) (-2,6)
      (D) (4, -6)
      (E) (6,-2)

20. 3.7(107 ) =
     (A) 370,000
     (B) 3,700,000
     (C) 37,000,000
     (D) 370,000,000
     (E) 3,700,000,000

Questions 21-25 refer to the following graph.

21. For how many of the years shown after 1950 was there a decrease from the previous year in
      the number of registered cars?
     (A) Nine
     (B) Eight
     (C) Seven
     (D) Six
     (E) Five

22. The ratio of the population per registered car in 1985 to that in 1975 was most nearly
      (A) 0.55
      (B) 0.65
      (C) 0.75
      (D) 0.85
      (E) 0.95

23. From 1972 to 1985, the percent increase in the number of registered cars was most nearly
      (A) 60%
      (B) 50%
      (C) 45%
      (D) 35%
      (E) 15%

24. From 1950 to 1985, the population of Country X increased by approximately how many million
      people?
      (A) 45
      (B) 80
      (C) 165
      (D) 200
      (E) It cannot be determined from the information given.

25. If the number of registered cars were to increase yearly through the year 2000 at the same
      average annual rate shown for the period 1981-1985, for which of the following years would the   
      number of registered cars be closest to 76 million?
      (A) 1995
      (B) 1996
      (C) 1997
      (D) 1998
      (E) 1999

26. A rectangular field is 400 feet long and 300 feet wide. If a square field has, the same perimeter as
      the rectangular field, what is the length, in feet, of each side of the square field?
      (A) 175
      (B) 350
      (C) 200 2
      (D) 350 2
       (E) 100 3

27. The expressions in the table above give the distance of each of two trains from Centerville at t
      hours after 12:00 noon. At what time will the trains be equidistant from Centerville?
      (A) 1:30 p.m.
      (B) 3:30 p.m.
      (C) 5:10 p.m.
      (D) 8:50 p.m.
      (E) 11:30 p.m.

28. In 1982, if the 1.8 billion dollars collected as child support payments was only 10 percent of the
      total court-ordered payments due, approximately how many billion dollars of court-ordered 
      payments for child support were not collected?
      (A) 1.6
      (B) 14.4
      (C) 16.2
      (D) 17.2
      (E) 18.0

29. If each shaded circular region in the figure above has radius 5, then the total area of the shaded 
      regions is what fraction of the area of the square region?
     (A)12       
     (B)36       
     (C)60       
     (D)6         1
     (E)3          1

30. If 4x
         1
         +
          y
          1
          =
          3
          1
          
          
           x
           1
           + 
           
           
           y
           1
            , what is the ratio of x to y?
      (A) 3 to 4
      (B) 2 to 3
      (C) 1 to 2
      (D) 1 to 8
      (E) 1 to 9s