GRE Preparation Kit 4 - Section 3

[Samuel]

SECTION 3

Time 30- minutes

30 Questions

1. 13 + 12 5
    x 2 y < 0
    x > 0

2. xy 0

3. The area of the shaded 55 region
    y = x + 1

4. (x - y) 2 1
    xy<0

5. x + y 0

6. Area of square region

15. Twice the area of The area of triangle the shaded region AOB

16. A ream of paper contains 480 sheets of paper. A  certain box holds 16 reams. The number of sheets of paper in 5 of
      these boxes is
     (A) 2,400
     (B) 3,840
     (C) 7,680
     (D) 38,400
     (E) 76,800

17. The numbers in a table are arranged in 10 rows and 4 columns such that one number is placed at the intersection of
      each row and column. How many numbers are contained in the table?
     (A) 14
     (B) 40
     (C) 400
     (D) 10 4
     (E) 410

18. A recipe for 42 cookies requires 1
     4
     3
    cups of flour.
    How many cups of flour are required to make 210 of these cookies?
    (A) 5
    (B) 8        4           3
    (C) 9        4           1
    (D) 2        1           10
    (E) 2         1          17

19. If y = 7x - 5, then x =
     (A) 7y +5
     (B) 7          y      -5
     (C) 7          y     +5
     (D) 7          y 5
     (E) 7           y 5

20. If 2a + 2b = 7 and 3c + 3d = 15, then the average (arithmetic mean) of a, b, c, and d is
      (A) 2      1      1
      (B) 8      1      2
      (C) 3
      (D) 4      1      4
      (E) 2      1      8

Questions 21-25 refer to the following information

A sample of employees were tested on data-entry skills for one hour , and the number of errors (x) they made and the percent of employees (p) making x errors were recorded as follows.

21. What is the range for the number of errors made by the employees in the sample?
      (A) 4
      (B) 5
      (C) 6
      (D) 7
      (E) It cannot be determined from the information given.

22. What percent of the sample made fewer than 4 errors?
      (A) 17%
      (B) 24%
      (C) 39%
      (D) 41%
      (E) 58%

23. If 40 employees in the sample made exactly 5 error, what was the total number of employees in the sample?
     (A) 800
     (B) 600
     (C) 500
     (D) 400
     (E) 200

24. If those employees who made 6 or more errors were removed from the sample and an employee were selected at   
      random from those remaining, what is the probability that the employee selected made no errors?
     (A) 11    1
     (B) 22    1
     (C) 39    1
     (D) 50    1
     (E) 78     1

25. What was the median number of errors in the sample?
      (A) 3
      (B) 3.5
      (C) 4
      (D) 4.5
      (E) It cannot be determined from the information given.

26. In the rectangular coordinate system above, if P, not shown, is a point on AB and if the x-coordinate of P is 1, what is
      the y-coordinate of P?
      (A) 3      4
      (B) 2      3
      (C) 3      7
      (D) 2      5
      (E) 3      8

27. Circular region C has a radius of 1 centimeter and a circumference of x centimeters: If the region has an area of y
      square centimeters, what is the ratio of x to y?
      (A) 2
      (B) 2     1
      (C) 2p 
      (D) p
      (E)       1

28. If 2.5105 cubic feet of earth are to be removed in constructing a tunnel in the shape of a right circular cylinder 20 feet
      in diameter, what will be the length, in feet, of the tunnel?
      (A) 25,000
      (B) 12,500
      (C) 5,000
      (D) 2,500
      (E) 1,250

29. One adult and 10 children are on an elevator. If the adult's weight is 4 times the average (arithmeuc mean) weight of
      the children, the adult's weight is what fraction of the total weight of the 11 people on the elevator?
      (A) 11     1
      (B) 4       1
      (C) 7       2
      (D) 11     4
      (E)  5       2

30. 
     3 2
     5
     ((0.2) )
     0.2
      =
     (A) 0.05
     (B) 0.5
     (C) 4.0
     (D) 2.0
     (E) 5.0