GRE Preparation Kit 5 - Section 2

[Samuel]

SECTION 2

Time –30 minutes

30 Questions

5 is
5
1
of x

1. x 1

2. A number whose square 15 is 4 less than twice the square of 10
    x 1 = 4

3. x 17

4. The area of region 150 sqft ABCDEF
    2x = x + 1

5. x y
    x 0

6. x
    2
    2x
    The circle above with center O has a radius of 5

7. y 20
    A government program paid out $20,000 to each of 60, 000 families.

8. The total amount $1.2 9 10 that the program paid out to the families x and y each represent single digits in the decimal
    4.3xy8. When the decimal is rounded to the nearest hundredth, the result is 4.36.

9. x 5
    In

14. The area of triangular 225 region ABC

15. t3
     1,000
     r

16. Diane completed each of her exercise sets in 75 seconds and rested for 55 seconds between the exercise sets. What is
      the ratio of the amount of time it took her to complete exercise set to the amount of time she rested between the sets?
     (A) 5:6
     (B) 5:11
     (C) 6:11
     (D) 11:5
     (E) 11:6

17. A certain car gets 20 miles per gallon of gasoline for city driving. If the car gets 15 percent more miles per gallon for
      highway driving, how many miles per gallon does the car get for highway driving?
     (A) 17
     (B) 22
     (C) 23
     (D) 30
     (E) 35

18. In the figure above, the area of the shaded square region is what percent of the area of the square region ABCD?
     (A) %
          3
          2
          16
    (B) %
          2
          1
          12
    (C) 12%
    (D) %
          2
          1
          8
    (E) 8%

19. The cost of sending a package special delivery is x cents per ounce up to 10 ounces and y cents for each ounce in excess
      of 10. Which of the following represents the total cost, in cents, of sending special delivery a package weighing w ounces,
      if w > 10?
     (A) x + (w - 10)y +10
     (B) x + (w - 10) + y
     (C) 10x + 10(w - y )
     (D) 10x + y(w - 10)
     (E) 10x + wy

20. All of the following are equivalent to c
      a b
      EXCEPT
     (A) c
          (a b)
     (B) c
          a b
          
          ( )
    (C) c
          a b
          
          
          
    (D) c
         b a
         
    (E) c
         b a
         
         
 
Questions 21-25 refer to the following graph. In answering these questions, assume that the male and female populations are
equal for each of the years shown.

21. For which of the following years was the difference between the life expectancy at birth for males and the life expectancy
     at birth for females the least?
     (A) 1900
     (B) 1910
     (C) 1920
     (D) 1930
     (E) 1940

22. The average(arithmetic mean) life expectancy at birth for a person born in 1980 was approximately how many more 
      years than for a person born in 1900?
      (A) 20
      (B) 22
      (C) 24
      (D) 26
      (E) 30

23. The life expectancy at birth of a male born in 1900 is closest to what fraction of the life expectancy at birth of a male
      born in 1980?
      (A) 3
            4
      (B) 3
            2
      (C) 2
            1
      (D) 3
            1
      (E) 4
            1

24. Which of the following statements can be inferred from the graph?
      (B) 34%
      (C) 40%
      (D) 51%
      (E) 66%

26 If 7 < x < 37 and x is an integer, then x can have how many different values?
     (A) Three
     (B) Four
     (C) Five
     (D) Eight
     (E) Ten

27. For which of the following expressions is the value for x = 0 equal to the value for x = 1 ?
      (A) x 1
            x
      (B) 1
            1
            
            
            x
            x
     (C) 2x - 1
     (D) x (x - 1) + x
     (E) x (x -1) +1

28. It the average (arithmetic mean) of x, y, z, 5, and 7 is 8, which of the value for x = 1?
      I The median of the five numbers cannot be 5
      II At least one of x, y and z is greater than 9
      III The range of the five numbers is 2 or more
      (A) I only
      (B) II only
      (C) III only
      (D) I and III
      (E) II and III

29. As shown in the figure above a circular flower bed lies in a square garden plot that is 60 meters on each side. What
      fraction of the garden plot area is not part of the flower bed?
      (A) 4
            1
      (B) 4
            3
      (C) 2
            4 
      (D) 4
            4 
      (E)  4
            2
     
30. Which of the following CANNOT be a factor of 2i and 3 j , where i and j are positive integers?
      (A) 6
      (B) 8
      (C) 27
      (D) 42
      (E) 54