GRE Preparation Kit 1 - Section 3

[Samuel]

SECTION 3

Time –30 minutes

30 Questions

x 2 -1 = y
x = 3

1. y 2 80 
    The gross receipts from the sale of t tickets, at $17 per ticket, total $16,660.

2. t 1,000
    Points T and U are on a circle with center O

3. OT TU 
    A box contains 20 marbles all of which are solid colored; 5 of the marbles are green and 
    10 of the marbles are fed.

4. The probability that The probability that a a marble selected at marble selected at ranrandom
    form the box dom from the box will will be green be neither red now green

5. Eleven thousand plus 11,111
    eleven hundred plus
    eleven

6. x 15
    The cost c of an order of n special envelopes is given by c= ($0.50)n + $ 15.00.

7. The cost of an order of $260. 500 special envelopes.  The average (arithmetic mean) of 7, 9,
    and x is greater than 9.

8. x 11
    a>0

9. 4 5a 2 40a

10. 0.53
      0.27
      0.053
      0.027
      Each of the numbers x, y, w, and z (not neces sarily distinct) can have any of the values 2, 3,
      9, or14.

11. y
     x
     wz
     a = -219

12. a 7 + a15 a 8 + a14

13. x 2 + 2x + 1 x 2
      a > h

14. d e
     w, x, y, and z are consecutive positive integers and w<x<y<z.

15. The remainder when 1
      (w +x)(x + y)(y + z) is divided by 2

16. A certain machine drills 30 holes in 8 minutes. At that constant rate, how many holes will 4 such
      machines drill in 1
      3
      1
      hours?
     (A) 300
     (B) 900
     (C) 960
     (D) 1,200
     (E) 2,560

17. Tina, Ed, and Lauren agree to share the cost of a gift and to make their contributions in 
      proportion to their ages. Ed’s age is
      2
      1
      of Tina’s age, and
      Lauren’s age is
      3
      1
      of Ed’s age. If Lauren’s share of the cost is $ 2.50, what is the cost of the gift?
     (A) $25
     (B) $20
     (C) $15
     (D) $12
     (E) $10

18. Three solid cubes of lead, each with edges 10 centimeters long, are melted together in a level,
      rectangular -shaped pan. The base of the pan has inside dimensions of 20 centimeters by 30 
      centimeters, and the pan is 15 centimeters deep.If the volume of the solid lead is approximately
      the same as the volume of the molted lead, approximately how many centimeters deep is the 
      melted lead in the pan?
      (A) 2.5
      (B) 3
      (C) 5
      (D) 7.5
      (E) 9

19. Which of the following CANNOT be the sum of two integers that have a product of 30?
      (A) 31
      (B) 17
      (C) –11
      (D) –13
      (E) –21

20. In the rectangular coordinate system above, if point (a, b), shown, and the two points (4a, b) 
      and (2a, 2b), not shown, were connected by straight lines, then the area of the resulting 
      triangular region, in terms of a and b, would be
      (A) 2
            ab
      (B) ab
      (C)  2
             3ab
      (D) 2ab
      (E) 4ab

Questions 21-22 refer to the following graph.

The top and bottom of each bar indicate, respectively, the highest and lowest daily number of shirts sold during the month. The heavy line across each bar indicates the average (arithmetic mean) number of shirts sold per day during the month.

21. What was the range in the daily number of shirts sold during March?
      (A) 20
      (B) 45
      (C) 50
      (D) 60
      (E) 70

22. The average(arithmetic mean)number of shirts sold per day during February was approximately
      what percent greater than the average number sold during January?
      (A) 10%
      (B) 20%
      (C) 30%
      (D) 40%
      (E) 70%

Questions 23-25 refer to the following graph.

23. For which two uses of electricity was the ratio of the amounts of electricity used most nearly 3 
     to 1?
    (A) Water heater and lights/small appliances
    (B) Large appliances and lights/small appliances
    (C) Air conditioner and water heater
    (D) Air conditioner and lights/small appliances
    (E) Air conditioner and large appliances

24. The electricity used by the water heater was measured separately and its cost per kilowatt-hour
      was one-half the cost per kilowatt-hour of the rest of the electricity used. The cost of the 
      electricity used by the water heater was most nearly what fraction of the total cost of all the 
      electricity used?
     (A) 11
           1
     (B) 9
           1
     (C) 8
           1
     (D) 5
           1
     (E) It cannot be determined from the information given.

25. In November the Smythe household used the same total amount of electricity as in July, but the
      water heater used 33 percent of this total amount. By approximately what percent did the 
      amount of electricity used by the water heater increase from July to November?
      (A) 13%
      (B) 33%
      (C) 50%
      (D) 65%
      (E) 130%

26. One integer will be randomly selected from the integers 11 to 60, inclusive. What is the robability
      that the selected integer will be a perfect square or a perfect cube?
      (A) 0.1
      (B) 0.125
      (C) 0.16
      (D) 0.5
      (E) 0.9

27. The measures of two angles of a parallelogram differ by 52 degrees. The number of degrees in 
      the smaller angle is
      (A) 38
      (B) 52
      (C) 64
      (D) 76
      (E) 128

28. The odds in favor of winning a game can be found by computing the ratio of the probability of 
      wining to the probability of not winning. if the probability that Pat will win a game is
      9
      4
      , what are the odds that Pat will win the game?
     (A) 4 to 5
     (B) 4 to 9
     (C) 5 to 4
     (D) 5 to 9
     (E) 9 to 5

29.If a, b, c, and d are consecutive integers such that a<b<c<d, then in terms of a, the
     sum a + b + d =
    (A) a + 4
    (B) 2a + 3
    (C) 3a + 2
    (D) 3a + 3
    (E) 3a +4

30. 2x + 2x =
     (A) 2 x1
     (B) 2 x2
     (C) 22x
     (D) 4x
     (E) 42x