GRE Preparation Kit 6 - Section 4

[Samuel]

SECTION 4

Time –30 minutes

30 Questions

1. 13
    9
    130
    90
    x 10 y

2. x – 10 y – 10

3. 10 percent of 25 percent 35 percent of of $69.97 $69.97
    3
    2
    1
    
    
    
    c
    b
    a

4. 2
    2 2
    c
    a b
    3
    1

5. x 50

6. 26 10 8

7. The area of rectangular 84 region ABCD M(r, s, t) denotes the average (arithmetic mean) of r, s, and t, and M(x, y)
    denotes the average of x and y.

8. M(70, 80, 90) M(x, 90) where x =M(70,80)

9. The area of triangular The area of triangular region ABC region ABC
    x 2 (2 5) 2 62

10. |x| 4
      cy
      x y
      
      
      1
      2

11. xc y
     Cylindrical tank X has radius 4 meters and height 3 meters. Cylindrical tank Y has radius 3 meters and height 4 meters.

12. The volume of tank X The volume of tank Y
      6
      4
      
      y
      x

13. y-x 1
     O is the center of the circle.
     PQ < OP

14. x 60

15. The mean of the The median of 45 scores the 45 scores

16. If the temperature of a compound increases at a constant rate of 15 degrees per minute, how many minutes does it
      take for the temperature of the compound to increase from 60 degrees to 300 degrees?
      (A) 12
      (B) 16
      (C) 20
      (D) 24
      (E) 30

17. If 2,
      7
      12
      
      
      s
      r which of the following must be true?
      (A) r = 0
      (B) r = 6
      (C) r = s
      (D) r = 2s
      (E) r = 3s

18. If the edges of a 3-inch by 4-inch rectangular photograph were each lengthened by 50 percent, what would be the
      area. in square inches, of the enlarged rectangular photograph?
      (A) 18
      (B) 20
      (C) 24
      (D) 27
      (E) 30

19. If 2
      y
      x
      and 3,
      1
      
      x
      then y=
     (A) 1/6
     (B) 2/3
     (C) 1
     (D) 3/2
     (E) 6

20. Three pumps, X, Y, and Z. removed water from a tank. Pump X removed 550 gallons, pump Y removed 1,250 gallons,
      and pump Z removed 1/3 of the total number of gallons removed by the three pumps combined. How many gallons of
      water did pump Z remove from the tank?
      (A) 450
      (B) 600
      (C) 900
      (D) 1,800
      (E) 2,700

21. For the year after 1940 in which box office receipts were less than they were ten years before, what was the average
     admission charge?
     (A) $0.53
     (B) $0.69
     (C) $1.55
     (D) $2.69
     (E) $4.75

24. What was the percent decrease in the number of farms from 1970 to 1990 ?
      (A) 9%
      (B) 21%
      (C) 30%
      (D) 70%
      (E) 90%

25. The average acreage per farm was approximately 140 in 1910 and 220 in 1950. The ratio of the total farmland avreage
      in 1910 to the total in 1950 was most nearly
      (A) 4     3
      (B) 3     2
      (C) 5     3
      (D) 2     1
      (E) 5     2

26. A research scientist wants to study a certain attribute of dogs. It is estimated that approximately 5 percent of all
     dogs have this attribute. If the scientist wants to study a sample of N dogs having the attribute, approximately how many
     dogs should be screened in order to obtain the desired sample size?
     (A) N/5
     (B) 5N
     (C) 2ON
     (D) 105N.
     (E) 120N

27. A square is inscribed in a circle. If the circle has radius 4. what is the perimeter of the square ?
      (A) 8
      (B) 8 2
      (C) 16
      (D) 16 2
      (E) 32 2

28. How many 3-digit integers, greater than 100. are there in which the sum of the digits equals 3?
      (A) Three
      (B) Four
      (C) Six
      (D) Nine
      (E) Twelve

29. An equilateral triangle with perimeter p, a square and a semicircle were joined to form the figure shown above.
      What is the perimeter of this figure?
      (A) 3p
      (B) p
           p
           
           2
     (C) p p
           2
           7
           
           
     (D) p p
           3 3
           7 
           
     (E) p p
          3 6
          4 
          

30. If x is
      9
      1
      11 percent more than y, then y is what percent less than x?
      (A) 9%
      (B) 10%
      (C) %
            9
            1
            11
      (D) %
            2
            1
            12
      (E) 15%