Download 15. x y 16. the number of integers the number of integers from –5 to

– THE GRE QUANTITATIVE SECTION –
15.
A
x°
B
C
y°
D
16.
IN
__
BC
ABC, AC = BC
__
DE AND x = 65
E
x
y
the number of integers
from –5 to 5
the number of integers
from 5 to 15
17.
The area of square ABCD is 25.
AB BC CD
20
x 0.5
18.
x4
4x
19.
x
1–x
x1
The perimeter of triangle ABC the
perimeter of triangle DEF.
20.
area of triangle ABC
21.
22.
x
x–1
area of triangle DEF
The sum of five consecutive
integers is 35.
the value of the greatest
of these integers
9
160
310
216
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23.
A
AB = BC = AC
y°
x°
C
B
2x
24.
y
The water tank is two-thirds full with
12 gallons of water.
the capacity of this tank
25.
20 gallons
x=y=z
+
3a
5a
15
zº
+1
xº
yº
2a + 22
a
7
xy7
26.
xy
27.
14
The area of isosceles right triangle ABC is 18.
the length of leg AB
the length of hypotenuse AC
Questions 28 and 29 refer to the following diagram:
A
B
D
C
ABCD IS A SQUARE.
2.
DIAGONAL BD = 6 28.
perimeter of ABCD
24
217
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29.
area of ABD
18
30.
In triangle ABC, AB BC, and the measure of angle
B the measure of angle C.
the measure of angle B the measure of angle B the measure of angle C
the measure of angle A
31.
abc
def
a
f
64 x 81
32.
x
33.
65
K
L
A
C
B
KA = 7, BCL = 17, BC = 8
POINTS K, A, B, C, AND L
ARE COLLINEAR.
34.
length of KL
23
144
+ 44
100
35.
A
x°
y°
z°
C
B
AB = AC
36.
xy
xz
348
3
12
x
4
37.
x
7
+ 3 = 12
x
218
1
– THE GRE QUANTITATIVE SECTION –
38.
0.003%
0.0003
39.
k
400
k
%
4
40.
A
I
RADIUS OF I = 3 INCHES
RADIUS OF II = 4 INCHES
RADIUS OF III = 5 INCHES
B
C
III
II
length of perimeter of the triangle ABC,
formed by joining the centers of the three circles
2 feet
Directions: For each question, select the best answer choice given.
41. Which of the following has the largest numerical value?
8
a. 0.8
0.8
b. 8
c. (0.8)2
d. 0.8
e. 0.8π
42. If 17xy 7 19xy, then 4xy a. 2
b. 3
1
c. 32
d. 7
e. 14
43. The average of two numbers is xy. If one number is equal to x, what is the other number equal to?
a. y
b. 2y
c. xy x
d. 2xy x
e. xy 2x
219
– THE GRE QUANTITATIVE SECTION –
7
1
44. A snapshot 18 inches 22 inches is to be enlarged so that the longer dimension will be 4 inches.
What will be the length (in inches) of the shorter dimension?
3
a. 28
1
b. 22
c. 3
3
d. 38
1
e. 32
2
45. The length and width of rectangle AEFG are each 3 of the corresponding parts of ABCD.
Here, AEB 12 and AGD 6.
E
A
G
F
D
C
The area of the shaded part is
a.
b.
c.
d.
e.
B
24.
32.
36.
40.
48.
220
– THE GRE QUANTITATIVE SECTION –
Questions 46–50 refer to the following chart and graph.
ALAMEDA SAVINGS BANK DATA
200
NUMBER OF DEPOSITORS
IN THOUSANDS
NUMBER OF
REGULAR DEPOSITORS
150
100
50
NUMBER OF HOLIDAY
CLUB DEPOSITORS
YEAR
1975
1980
1985
1990
HOW THE BANK PUTS
YOUR MONEY TO WORK FOR YOU
MORTGAGES
58.6%
STOCKS 5.2%
CASH
ON
HAND
3.9%
OTHER ASSETS
3%
BONDS
29.3%
46. How many thousands of regular depositors did the bank have in 1980?
a. 70
b. 85
c. 95
d. 100
e. 950
47. In 1979, what was the ratio of the number of Holiday Club depositors to the number of regular
depositors?
a. 2:3
b. 2:1
c. 1:2
d. 7:9
221
– THE GRE QUANTITATIVE SECTION –
e. 3:2
48. Which of the following can be inferred from the graphs?
I. Interest rates were static in the 1980–1983 period.
II. The greatest increase in the number of Holiday Club depositors over a previous year occurred in 1984.
III. Alameda Savings Bank invested most of its assets in stocks and bonds.
a. I only
b. II only
c. III only
d. I and III
e. II and III
49. About how many degrees (to the nearest degree) are in the angle of the sector representing mortgages?
a. 59
b. 106
c. 211
d. 246
e. 318
50. The average annual interest on mortgage investments is m percent and the average annual interest on
the bond investment is b percent. If the annual interest on the bond investment is x dollars, how many
dollars are invested in mortgages?
a.
xm
b
xb
b. m
c.
10xb
m
bx
d. 100m
200x
e. b
222
– THE GRE QUANTITATIVE SECTION –
51. What is the area of ABCD?
10
A
8
B
6
4
2
0
a.
b.
c.
d.
e.
C
D
2
4
6
8
10
12
14
24
30
35
36
48
52. If x 2 2x 8 0, then x is either 4 or
a. 2.
b. 1.
c. 0.
d. 2.
e. 8.
53. The following shows the weight distribution in the average adult. The total average body weight is
70,000 grams.
Elements of the Body
Muscles
Water
Skeleton
Blood
Gastrointestinal Tract
Liver
Brain
Lungs
Weight (in grams)
30,000
18,800
10,000
5,000
2,000
1,700
1,500
1,000
If the weight of an adult’s skeleton is represented as g grams, his or her total body weight can be
represented as
a. 7g.
b. g 6.
c. 60g.
d. g 60.
e. 70,000g.
223
– THE GRE QUANTITATIVE SECTION –
54. The afternoon classes in a school begin at 1:00 P.M. and end at 3:52 P.M. There are four afternoon class periods
with 4 minutes between periods. The number of minutes in each class period is
a. 39.
b. 40.
c. 43.
d. 45.
e. 59.
55. The average of P numbers is x, and the average of N numbers is y. What is the average of the total
numbers (P N)?
a.
x+y
2
b. x y
Py + Nx
c. xy(P + N)
x+y
d. P+N
Px + Ny
e. P+N
n
56. For which of the values of n and d is d 1?
a. n 5 and d 6
b. n 3 and d 2
c. n 1 and d 2
d. n 1 and d 1
e. n 0 and d 1
57.
a° b°
c° d °
e°
f°
l
m
In the figure above, l m. All of the following are true EXCEPT
a. mc md.
b. ma md.
c. ma me.
d. mf mb.
e. m f mc.
224
– THE GRE QUANTITATIVE SECTION –
58. If 0.6 is the average of the four quantities 0.2, 0.8, 1.0, and x, what is the numerical value of x?
a. 0.2
b. 0.4
c. 0.67
d. 1.3
e. 2.4
59.
a2 – b2
(a – b)
is equal to
a. a b.
b. a b.
c.
d.
a+b
.
a–b
a–b
a +
b.
e. 1.
60. The area of square EFGH is equal to the area of rectangle ABCD. If GH 6 feet and AD 4 feet, the
perimeter (in feet) of the rectangle is
a. 9.
b. 13.
c. 24.
d. 26.
e. 36.
Questions 61–65 refer to the following chart and graph.
CALORIES
COMPOSITION OF AVERAGE DIET
CALORIES
GRAMS
CARBOHYDRATES
500
2,050
PROTEIN
100
410
FAT
100
930
CALORIES REQUIRED PER DAY
BY BOYS AND GIRLS
CALORIES
4,000
3,000
2,000
1,000
AGE
2
4
6
8
10
12
14
16
BOYS
GIRLS
225
18