GRE Preparation Kit 6 - Section 3

[Samuel]

SECTION 3

Time –30 minutes

30 Questions

1. 0.82
    1
    0.81
    1

2. The number of miles 10,000the rocket travels in 2 hours
    1
    4 20
    
    
    x y
    x y

3. x y

4. (23 ) 2 (22 )3
     0 < n <1

5. 3
    4
    n 

6. 2 2 2 2

7. r + v s + t
    A grocer buys apples at the regular price of 38 cents per pound.

8. The amount saved by The additional amount the grocer on a pur- paid by the grocer on a chase of 100 pounds purchase 
    of 100 pounds of apples if the price of apples if the price per pound is x cents per pound is x cents less than the regular
    more than the regular price

9. 2x y x y

10. The area of square a 2 b2 region TUVW

11. The median of the positive integers l, m, n, r, and s is 10, where l < m < n < r < s.
      2
      s
      10
      O is the center of both circles.

12. The area of the The area of the circular region shaded sector ROQ with radius OP
      8 4
      4 4
      
      
      y
      x

13. The greatest possible 200 value of 25x – 12.5y p, q, r, and s are the coordinates of the points indicated on the number
      line.

14. p q r s
      x 0

15. x x

16. If 3x + 9y = 7x + y. then 8y=
      (A) 4x
      (B) 6x
      (C) 8x
      (D) 10x
      (E) 12x

17. If the number of microbes in a test tube increases by 25 percent per day, how many microbes are there in the test tube
     at the end of a given day if the number of microbes at the end of the next day is 240,000 ?
     (A) 180,000
     (B) 192,000
     (C) 210,000
     (D) 288,000
     (E) 300,000

18. The average (arithmetic mean) of five numbers is 88. Four of the numbers are 92, 89, 91.....84. What is the fifth number?
      (A) 82
      (B) 84
      (C) 86
      (D) 89
      (E) 92

19. The scores reported for a certain multiple-choice test were derived by subtracting 1/3 of the number of wrong answers
      from the number of right answers. On a 40-question test, if none of the questions was omitted and the score reported 
      was 20, how many wrong answers were there?
      (A) 5
      (B) 10
      (C) 15
      (D) 25
      (E) 30

20. In the figure above, a – 2b =
      (A)-10
      (B)-8
      (C) 0
      (D) 8
      (E) 10

21. Which program resulted in an increase in energy use instead of a decrease as projected?
      (A) Program G
      (B) Program J
      (C) Program K
      (D) Program M
      (E) Program R

22. For which Program were actual energy savings a closest to 3/4 of the projected savings?
      (A) Program G
      (B) Program H
      (C) Program P
      (D) Program Q
      (E) Program T

23. How many of the programs resulted in greater energy savings than were projected?
      (A) One
      (B) Three
      (C) Four
      (D) Five
      (E) Eight

24. For which program was the ratio of actual energy savings to projected energy savings closest to 1?
     (A) Program G
     (B) Program K
     (C) Program M
     (D) Program P
     (E) It cannot be determined from the information given.

25. Actual energy savings for Program G were approximately what fraction of actual energy savings for Program T ?
     (A) 1/5
     (B) 1/4
     (C) 3/5
     (D) 5/3
     (E) It cannot be determined from the information given

26. If x is the sum of seven consecutive odd integers beginning with 3 and y is the sum of seven consecutive odd integers
      beginning with 5, then y-x equals
      (A) 2
      (B) 7
      (C) 8
      (D) 12
      (E) 14

27. If 5 y
      5
      5 5
      4
      1 5
      
      , what is the value of y?
      (A) 0
      (B) 1
      (C) 2
      (D) 3
      (E) 4

28. In a rectangular coordinate system, the set of all points (x, y) such that -2< x < 2 and -2 < y < 2 comprises
     (A) two perpendicular line segments
     (B) two parallel line segments
     (C) a circular region
     (D) a triangular region
     (E) a square region

29. The figure above shows a rectangular play area in which one child stands at B while another child runs back and
      forth along the entire side AD. If the running child is in a position randomly located along side AD at a given time,
      what is the probability that the two children are at most 50 feet apart at that time?
      (A) 5     1
      (B) 5     2
      (C) 5     3
      (D) 5     4
      (E) 1 

30. On a highway there is an electric pole every 96 feel. If the poles am numbered consecutively, what is the number of the
      pole 2 miles past pole number 56 ? (1 mile = 5,280 feet)
      (A) 109
      (B) 110
      (C) 152
      (D) 165
      (E) 166