GRE Preparation Kit 7 - Section 4

[Samuel]

SECTION 4

Time— 30 minutes

30 Questions

2 2 21 1 3
1 1 1

1. 1  r and s are integers, and r<s.

2. The number of odd inte- The number of even integers between r and s gers between r and s.

3. x-y x+y

4. 10x-x 10
    On a drawing done to scale,
    4
    1
    inch represents 5 feet.

5. The number of inches 7.5 on the drawing that represents 150 feet

6. x 3
    y>0
    x=3y

7. 20 percent of x 50 percent of y In a certain order of goods, 3
    1 of the items are shirts costing $18 each and 3
    2 of the items are hats costing $12 each.

8. The average (arithmetic $15 mean) cost per item in the order

9. The area of triangular Twice the area of region PRS triangular region PQR xy<0

10. x-y 0

11. The average (arithmetic 1 mean) of 11    10     and  10    11   d>0

12. The area of a circular The area of a square region with diameter region with diagonal of length d

13.  7
      6
      (0.83)
      (0.83)
      1

14. x y

15. (2x+3y) 2 4x 2 +6xy+9y 2

TEMPERATURES IN DEGREES FAHRENHEIT RECORDED AT NOON ON THE FIRST FOUR DAYS OF CERTAIN MONTHS
Month Temperatures
January 32,14,24,28
April 45,50,58,47
June 76,80,74,79
August 84,95,100,89
November 48,43,39,42

16. In a set of measurements, the range is defined as the greatest measurement minus the least measurement.
      According to the table above, during the first four days of which month was the range of temperatures at noon the
      greatest?
      (A) January Y
      (B) April
      (C) June
      (D) August
      (E) November

17. In the figure above, if QR=4 and PQ=3, then the (x,y) coordinates of point P are
      (A) (-4)
      (B)  2         3
      (C) 0
      (D) - 2       3
      (E) -24

20. A car gets 22 miles per gallon using gasoline costing $1.10 per gallon. What is the approximate cost, in dollars, for driving
      the car x miles using this gasoline?
     (A) 0.50x  (B) 0.30x (C) 0.11x (D) 0.10x (E) 0.05x

Questions 21-25 refer to the following table.

POPULATION DATA FOR TEN SELECTED STATES IN 1980 AND 1987
Population(in thousands)
State 1980 1987
Percent Change in Population,
1980-1987
Population Per Square Mile in 1987
A            23, 668          27, 663            16, 9            177
B            17, 558          17, 825              1. 5            372
C            14, 229          16, 789            18. 0            64
D              9, 746          12, 023            23. 4            222
E             11, 864          11, 936              0. 6            266
F             11, 427          11, 582              1. 4            208
G            10, 798          10. 784             -0. 1            263
H              9, 262            9, 200             -0. 7            162
I               7, 365            7, 672              4. 2            1, 027
J               5, 882            6, 413              9. 0            131


                                                           
21. Which of the following states had the most land area in 1987?
      (A) A (B) B (C) C (D) D (E) E

22. In 1987 the average (arithmetic mean) population of the three most populous of the ten selected states was most nearly
     equal to.
     (A) 18 million (B) 19 million (C) 20 million (D) 21 million (E) 22 million

23. If the land area of State J was the same in 1980 as it was in 1987, then the population square mile of State J in 1980 was
      most nearly equal to
      (A) 140 (B) 130 (C) 120 (D) 110 (E) 100

24. If ranked from highest to lowest according to population, how many of the ten states changed in rank from 1980 to 1987?
      (A) One (B) Two (C) Three  (D) Four (E) Five

27. In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest number of students
      that could have taken both algebra and chemistry?
     (A) 21 (B) 27 (C) 37 (D) 121 (E) 142

29. The price of product R is 20 percent higher than the price of product S, which in turn is 30 percent higher than the price of
      product T. The price of product R is what percent higher than the price of product T?
      (A) 60% (B) 56% (C) 50% (D) 44% (E) 25%

30. In the sum above, if X and Y each denote one of the digits from 0 to 9, inclusive, then X=
      (A) 9 (B) 5 (C) 3 (D) 1 (E) 0