20 Questions

Questions and Answers

- 1.When 50,000 is written as
*5.0 x 10*, what is the value of^{n}*n*?- A.
1

- B.
2

- C.
3

- D.
4

- E.
5

- 2.On a car trip. Dave drove
*m*miles, Jim drove twice as many miles as Dave, and Kevin drove 20 fewer miles than Jim. In terms of*m*, how many miles did Kevin drive?- A.
2m + 20

- B.
2m - 20

- C.
M/2 + 20

- D.
M+20/2

- E.
M/2 - 20

- 3.If
*x*and*y*are positive integers, what are all the solutions (*x, y*) of the equation*4x + 3y = 16*?- A.
(1, 4) only

- B.
(3, 1) only

- C.
(1, 4) and (2, 2)

- D.
(1, 4) and (3, 1)

- E.
(2, 2) and (3, 1)

- 4.A company's profit.
*P*, in dollars, for producing*x*machines in one day is given by*P = 600x - 10x*If the company produces 10 machines in one day, then, according to this formula, what is the profit for that day?^{2}- A.
$6,000

- B.
$5,000

- C.
$4,000

- D.
$3,000

- E.
$2,000

- 5.
*18 - n*, 18,*18 + n*What is the average (arithmetic mean) of the 3 quantities in the list above?- A.
4

- B.
12

- C.
18

- D.
4 + n/3

- E.
18 + n/3

- 6.Note: Figure not drawn to scaleIn isosceles triangle
*ABC*above,*AM*and*CM*are the angle bisectors of angle*BAC*and angle*BCA*.What is the measure of angle*AMC*?- A.
100°

- B.
105°

- C.
120°

- D.
125°

- E.
130°

- 7.A fruit salad is made from pineapples, apples, and peaches mixed in the ratio of 5 to 3 to 2, respectively, by weight. What fraction of the mixture by weight is apple?
- A.
1/5

- B.
3/10

- C.
2/5

- D.
2/3

- E.
1/2

- 8.Note: Figure not drawn to scaleIn the figure above, square
*BCDE*is inscribed in the circle. What is the degree measure of*CD*?- A.
45°

- B.
60°

- C.
90°

- D.
120°

- E.
180°

- 9.If
*C*and*D*are two sets of numbers, and if every number in*C*is also in*D*, which of the following cannot be true?- A.
3 is in both C and D

- B.
4 is in neither C nor D

- C.
5 is in C, but not in D

- D.
6 is in D, but not in C

- E.
If 7 is not in D, then 8 is not in C

- 10.
- A.
12

- B.
48

- C.
144

- D.
36

- E.
1728

- 11.If
*a*≠*0*and , what is the value of*x*?- A.
-3

- B.
-1

- C.
1

- D.
3

- E.
5

- 12.Note: Figure not drawn to scaleThe figure above is composed of 25 small triangles that are congruent and equilateral. If the area of
*CFI*is 18, what is the area of*AFK*?- A.
40

- B.
42.5

- C.
50

- D.
52.5

- E.
62.5

- 13.
*4x + 3y = 204x + y = 14*If the equations above are true, which of the following is the value of*y*?- A.
-4

- B.
-3

- C.
0

- D.
3

- E.
4

- 14.A car costs dollars, and this cost is to be shared equally by a group of people. In terms of
*x*, how many dollars less will each person contribute if there are 5 people in the group instead of 4?- A.
X/5

- B.
X/4

- C.
X/20

- D.
9x/20

- E.
9x

- 15.If
*y = 3x + 2*and*x < 2*, which of the following represents all the possible values for*y*?- A.
Y < 8

- B.
Y > 8

- C.
Y < 5

- D.
Y > 5

- E.
5 < y < 8

- 16.Note: Figure not drawn to scaleThe graphs of the functions
*f*and*g*in the interval from*a = -2*to*a = 2*are shown above. Which of the following could express*g*in terms of*f*?- A.
G(a) = f(a) + 1

- B.
G(a) = f(a + 1)

- C.
G(a) = f(a + 1) + 1

- D.
G(a) = f(a) - 1

- E.
G(a) = f(a - 1)

- 17.Note: Figure not drawn to scaleIn the figure above, a shaded polygon which has equal sides and equal angles is partially covered with a sheet of blank paper. If
*x + y = 90*, how many sides does the polygon have?- A.
Eleven

- B.
Ten

- C.
Nine

- D.
Eight

- E.
Seven

- 18.If
*e*,*f*,*g*and*h*are the coordinates of the indicated points on the number line above, which of the following is greatest?- A.
|e + h|

- B.
|e + f|

- C.
|e - f|

- D.
|e - h|

- E.
|e + g|

- 19.On the day of a rainstorm, the depth of the water at a certain location along the Winding River was recorded hourly, and the results are indicated in the line graph above. Each unit on the vertical axis represents 1 foot. If the depth of the water decreased 10 percent from 4:00 P.M. to 5:00 P.M , what was the depth of the water at 5:00 P.M.?
- A.
5 feet

- B.
15 feet

- C.
18 feet

- D.
20 feet

- E.
35 feet

- 20.HFor all numbers
*a*and*b*, let*a b*be defined by*a b = ab + a + b*.*x*,*y*and z, which of the following must be true? Ⅰ.*x y = y**x*Ⅱ.*(x - 2) (x + 2) = (x**x) - 2*Ⅲ.*x (y + z) = (x**y) + (x**z)*- A.
L only

- B.
Ll only

- C.
Lll only

- D.
L and ll only

- E.
L , ll and lll