GRE Preparation Kit 3 - Section 4

[Samuel]

SECTION 4

Time – 30 minutes

30 Questions

x, y, and z are coordinates of three points on the number line above.

1. xy xz
   10 inches of snowfall is equivalent to 1 inch of rainfall. (1 foot = 12 inches)

2. The number of inches 1 of rainfall equivalent to 1 food of snowfall b > 0

3. a – b b – a
    The geometric mean of any two positive numbers x and y is xy .

4. The geometric mean The average (arithmetic of 4 and 8 mean) of 4 and 8

5.  35
     16
     9
     4
     1 < x < y

6. x +4 y

7.  The length of ST The length of RS
     x + 5 = 3
     y = 2x

8. x y
    1 gallon = 8 pints
    1 quart = 2 pints

9. The least number of The least number of half-pint bottles needed one-quart bottles needed to 
    hold x quarts of to hold x gallons of milk. The figure shows a cube with edge of length e.

10. The length of diagonal AB 2 e y = 3x – 1

11. x
     3
     y
     + 3

12. 37 
      36
      37
      37 +
      36
      37

13. 0.01% of 1,000 1
      x and y are positive integers and x > y.

14. 3
      2
      y
      x
      2
      3
      x
      y

15. The perimeter of the 2 2 + 2 shaded region in the rectangle

16. - 
      
      
      
      
      2
      6
      =
      (A) -4
      (B) -3
      (C) 3
      (D) 4
      (E) 8

17. A rectangular parking lot 2x feet long and x feet wide is to be enlarged so that the lot will be 2
      times as long and 3 times as wide as it is now. The area of the enlarged rectangular lot will be
      how many times the area of the present lot?
      (A) 6
      (B) 5
      (C) 4
      (D) 3
      (E) 2

18. If 2x = 5 and 3y = 8, then
      y
      x
      9
      4
      =
    (A) 18     5
    (B) 16     5
    (C) 12     5
    (D)  8      5
    (E)  4       5

19. A certain jar contains 100 jelly beans: 50 white, 30 green, 10 yellow, 5 red, 4 purple, and 1
      black. If a jelly bean is to be chosen at random, what is the probability that the jelly bean will 
      be neither purple nor red?
      (A) 0.09
      (B) 0.11
      (C) 0.55
      (D) 0.91
      (E) 0.96

20. (:PROBLEMSOLVE)The average (arithmetic mean) of x and x equals
      (A) x if x > 0, and equals 0 if x= 0
      (B) -x if x < 0, and equals 0 if x = 0
      (C) 0, regardless of the value of x
      (D) x, regardless of the value of x
      (E) |x|, regardless of the value of x

Questions 21- 22 refer to the following graph.

21. Expenditures for physician services in1989 were approximately how many billion dollars more 
      than expenditures for nursing care?
      (A) 38.5
      (B) 66.0
      (C) 82.5
      (D) 110.0
      (E) 154.0

22. If health care expenditures accounted for 11 percent of the gross domestic product in 1989,   
      then the gross domestic product was approximately how many billion dollars?
      (A) 605
      (B) 5, 000
      (C) 5, 500
      (D) 6, 050
      (E) 6, 500

Questions 23-25 refer to the following graph.

23. The total enrollment in 1985 was approximately how much greater than the total enrollment in   
      1960?
      (A) 4 million
      (B) 5 million
      (C) 7 million
      (D) 9 million
      (E) 11 million

24. For which of the years shown was the ratio of male to female enrollment greatest?
     (A) 1980
     (B) 1975
     (C) 1970
     (D) 1965
     (E) 1960

25. For which of the following periods was the percent increase in female enrollment the greatest?
      (A) 1960 to 1965
      (B) 1965 to 1970
      (C) 1970 to 1975
      (D) 1975 to 1980
      (E) 1980 to 1985

26. If a certain town has 90 doctors and the ratio of mate doctors to female doctors is 3 to 2, then 
      the number of female doctors in this town is
      (A) 18
      (B) 30
      (C) 36
      (D) 45
      (E) 54

27. Which of the following points (x, y) is NOT on the graph of y < 2x?
      (A) (-3, -7)
      (B) (3, 3)
      (C) (2, -9)
      (D) (2, 2)
      (E) (2, 5)

28. If apples sell for $0.68 per pound and Juanita bought 36 apples for $8.16, then the average 
      (arithmetic mean) number of apples per pound was
     (A) 3     1
     (B) 2     1
     (C) 1     
     (D) 2
     (E) 3

29. The sum of the first 50 positive integers is 1, 275. What is the sum of the integers from 51 - 100
      (A) 2, 525
      (B) 2, 550
      (C) 3, 250
      (D) 3, 775
      (E) 5, 050

30. The figure above shows a semicircle with center O and a quarter circle with center R. If OQ = 4
      and QR = 6, what is the ratio of the area of the shaded region to the area of the semicircular
      region?
      (A) 2:3
      (B) 4:3
      (C) 8:9
      (D) 9:4
      (E) 9:8