GRE Preparation Kit 7 - Section 2

[Samuel]

SECTION 2

Time— 30 minutes

25 Questions

1. 60 percent of 16 10
    O is the center of the circle and OS=SQ.

2. PQ OR
    n is an integer such that 1<n<4.

3. n-1 2
    9 20
    2
    1
    X 

4. x+19 40
    Board A measures between 2.15 feet and 2. 25 feet in length; board B measures between 2.20 feet and 2.30 feet in length.

5. The length of board A The length of board B

6. t 2

7. x y

8. x(y+z) xy+z

9. 104 56

10. x 120

11. ) 2
     2.5
     1.5
     ( 0.36
     For each positive integer n,
     1
     1 1
     
     
     n n n a

12. a1a2 a3 a4
      5
      4

13. The area of rectangular r2 region ABCD S is a set of n consecutive integers.

14. The mean of S The median of S The length of a rectangular box is 4 inches longer than the depth, and the width of the 
      box is 1 inch less than the length. The depth of the box is between 2inches and 4 inches.

15. The volume of the box in 200 cubic inches

16. In a circle graph used to represent a budget totaling $600, the measure of the central angle associated with a $120 item in
      the budget is
      (A) 72°(B) 108°(C) 120° (D) 144° (E) 216

17. ) 
      2
      1
      4
      1
      ) (
      4
      1
      3
      1
      ) (
      3
      1
      2
      1
      (
     (A)  0
     (B)  4    1
     (C)  2    1
     (D)  1
     (E)  4
           5
           t 0
           t 2 0 2
          
          t 

18. The vertices of square S have coordinates (-1,- 2), (-1,1), (2,1), and (2,-2), respectively. What are the coordinates of the
      point where the diagonals of S intersect?
      (A)  2     1     ,     2     1
      (B)  2     1     ,     2     1     ( 
      (C)  2     1     ,     2     3
      (D)  2     1     ,     2     3     ( 
      (E)   2     1     ,    2      3     (

19. The admission price per child at a certain amusementp arkis  12        7   the admission price per adult. If the  admission
       price for 4 adults and 6 children is $112.50, what is the admission price per adult?
       (A) $15.00 (B) $13.50 (C) $12.75
       (D) $11.25 (E) $8.75

20. If x=2y and y=2z/3, what is the value of z in terms of x?
     (A) 3     2x
     (B) 4     3x
     (C) 3     4x
     (D) 2     3x
     (E) 3x

Questions 21-25 refer to the following graph.

INDUSTRLAL WASTE GENERATED BY SPECIFIC INDUSTRIES OF COUNTRY X

Note: Because of the great disparity in the amounts of waste generated by different industries, the graph is broken in three places, and after each break, a new and more appropriate scale is introduced. As usual, the value represented by a bar is read only at its far right end.

21. How many million metric tons of hazardous waste was produced in 1985 by the inorganic and organic chemicals industries
      combined?
     (A) 66 (B) 16 (C) 10 (D) 5 (E) 3

22. For those industries that generated a total of more than a million metric tons of waste in 1985, what was the approximate
      average (arithmetic mean) total waste, in millions of metric tons, generated per industry?
      (A) 42 (B) 34 (C) 28 (D) 25 (E) 23

23. In 1985 hazardous waste in electroplating exceeded hazardous waste in electronic components by how many million
      metric tons?
      (A) 1.96 (B) 1.50 (C) 0.96 (D) 0.80 (E) 0.60

24. In 1985 the pharmaceuticals industry generated total waste equal to how many times the hazardous waste in the same
      industry?
      (A) 1.2 (B) 2.5 (C) 3 (D) 6 (E) 12

25. For which of the following industries is the hazardous waste projection for the year 2000 at least double its 1985 level?
      I. Electronic components
      II. Electroplating
      III. Inorganic chemicals
      (A) I only
      (B) I and II only
      (C) I and III only
      (D) II and III only
      (E) I, II, and III

26. Sixty-eight people are sitting in 20 cars and each car contains at most 4 people. What is the maximum possible number of
      cars that could contain exactly 1 of the 68 people?
      (A) 2 (B) 3 (C) 4 (D) 8 (E) 12

27. The width of a rectangular playground is 75 percent of the length. If the perimeter of the playground is 280 meters, how
      long, in meters, is a straight path that cuts diagonally across the playground from one corner to another?
      (A) 60 (B) 70 (C) 80 (D) 90 (E) 100

28. Which of the following numbers is NOT the sum of three consecutive odd integers?
      (A) 15 (B) 75 (C) 123 (D) 297 (E) 313

29. If )
      100
      72.42 (24
      n
      k , where k and n are positive integers and n < 100, then k +n =
      (A) 17 (B) 16 (C) 15 (D) 14 (E) 13

30. Which of the following pairs of numbers has an average (arithmetic mean) of 2?
      (A) 5
           2 , 1
           3
           2
           1
      (B) 5 , 3
           1.6, 2.4
           0.5
     (C) 1
     (D) 2 3 , 2 - 2 3
     (E) 2 - 2 , 4 - 2