Multiple Choice [One Answer Only]
Questions Scrambled-No Order-Similiar to CLAST
Question 01
Study the information given below. If a logical conclusion is given,
select that conclusion.
All beachcombers are swimmers. All swimmers wear swimsuits.
Sally is wearing a swimsuit. Therefore:
a) Sally cannot swim
b) Sally is a beachcomber
c) Sally can swim
d) None of these answers
Question 02
The difference between a number and five more than three times the number
is six. What equation could be used to find x, the number?
a) x + (3x - 5) = 6
b) x - 3x + 5 = 6
c) x - (3x + 5) = 6
d) x - (5x + 3) = 6
Question 03
Find: (- 1/2) ÷ (- 1/12)
a) - 1/6
b) 6
c) -6
d) 1/6
Question 04
Find the surface area of a rectangular solid that is 17 inches long, 16 inches
wide, and 14 inches high.
a) 1468 sq. in.
b) 1468 in.
c) 3808 sq. in.
d) 1368 sq. in.
Question 05
Which option gives the condition(s) that corresponds to the shaded
region of the plane shown below?
![](Images/practice1/27.gif)
a) x > -1, y < -1, and y < x
b) x > -1 and y < -1
c) y = -x
d) y > x - 1
Question 06
The graph below depicts the size (square feet) and sales price ($) for homes
sold in Connecticut (o) and homes sold in Florida (x) as determined by the
1990 Real Estate Association survey. Which of the following is true based
on the graph below?
![](Images/practice1/41.gif)
a) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in Florida than for homes in Connecticut.
b) A relationship between price and size exists ONLY for homes in Connecticut.
c) A relationship between price and size exists ONLY for homes in Florida.
d) Larger homes tend to cost more than smaller homes; a stronger relationship
exists for homes in Connecticut than for homes in Florida.
Question 07
Find: (54) (93)
a) (5 x 5 x 5 x 5) (9 x 9 x 9)
b) (5 + 5 + 5 + 5) (9 + 9 + 9)
c) (5 x 9)12
d) (5 x 4) (9 x 3)
Question 08
Simplify: 2
+ 9
- 1 =
a) 11
2
- 1
b)
+ 10
c) 10
d) 11
-
1
Question 09
What is the place value associated with the underlined digit?
1.4192 (base ten)
a) 1/10
b) 1/100
c) 1/102
d) 1/104
Question 10
All of the following arguments A-D have true conclusions, but one of the arguments
is not valid. Select the argument that is not valid.
a) All birds have feathers and all penguins are birds.
Therefore, all penguins
have feathers.
b) All fleas have six legs and insects have six legs.
Therefore, all fleas
are insects.
c) Every borough of New York City is in New York State.
The Bronx is a
borough of New York City.
Therefore, the Bronx
is in New York State.
d) All birds have legs and all penguins are birds.
Therefore, all penguins
have legs.
Question 11
The cost of a long-distance phone call from New York to London is defined by
C(t) = 0.80(t - 1) + 1.35, where the cost is $1.35 for the first minute and
$0.80 for each additional minute. Find the cost of a 3-minute phone call.
a) $3.75
b) $1.60
c) $2.40
d) $2.95
Question 12
Study the figure, then select the formula for computing the total area
of the figure.
![](Images/practice1/35.gif)
a) A = LW +
L2
b) A = 1/4
L2 +
LW
c) A = 1/8
L2 +
LW
d) A = LW +
W2
Question 13
Twenty individuals work for a company. The lowest paid person earns $150 per
week and the highest paid person earns $280 per week. Which of the following
values could be a reasonable estimate of the total weekly payroll for the company?
a) $8600
b) $4200
c) $2100
d) $215
Question 14
The following is a distribution of the cause of fires nationally:
Cause |
Percent of all Fires |
|
Cooking |
32 |
Smoking |
16 |
Appliances |
18 |
Heating system |
9 |
Electrical system |
8 |
Other |
17 |
If it is known that a fire has NOT been caused by the heating or electrical
systems, find the probability that it was caused by cooking.
a) 32/83
b) 9/50
c) 18/83
d) 8/25
Question 15
Subtract: -18.40 - 1.681 =
a) 16.719
b) -16.719
c) -19.721
d) -20.081
Question 16
Find: 0.0414 ÷ 207,000
a) 2.00 x 103
b) 2.00 x 10-7
c) 2.00 x 10-3
d) 2.00 x 107
Question 17
Select the conclusion which will make the following argument valid.
If you work hard, then you will get a good job. If you get a good job, then
you will be happy.
a) If you are work hard, then you will be happy.
b) If you are happy, then you worked hard.
c) If you are not happy, then you did not get a good job.
d) If you do not work hard, then you will not be happy.
Question 18
Find an equivalent form of 1/2.
a) 0.050
b) 0.50
c) 0.50%
d) 5.0%
Question 19
Choose the inequality equivalent to -3 < -3x - 6 < 3.
a) -1 < x < 3
b) x > 3
c) x < -1
d) -3 < x < -1
Question 20
For each of the figures below, S represents the sum of the measures of the interior
angles. Study the given information, then find S for a fourteen -sided polygon.
![](Images/practice1/34i.gif) |
![](Images/practice1/34ii.gif) |
![](Images/practice1/34iii.gif) |
3 sides |
4 sides |
6 sides |
1 triangle |
2 triangle |
4 triangles |
S = 180 |
S = 360 |
S = 720 |
a) 1980
b) 2340
c) 2160
d) 2520
Question 21
The table below shows the distribution of families by income in Tampa, Florida.
Income Level |
Percent of Families |
|
$ 0 - |
9, 999 |
3 |
10, 000 - |
14, 999 |
4 |
15, 000 - |
19, 999 |
24 |
20, 000 - |
24, 999 |
40 |
25, 000 - |
34, 999 |
11 |
35, 000 - |
49, 999 |
9 |
50, 000 - |
79, 999 |
5 |
80, 000 - |
119, 000 |
3 |
120, 000 and over |
1 |
Identify the amount below which 31 percent of the families in Tampa have
lower incomes.
a) $20,000
b) $35,000
c) $15,000
d) $25,000
Question22
Insert =, <, or > to make a true statement:
a) <
b) >
c) None of these answers
d) =
Question 23
Given that:
i. No people who make assignments are friendly.
ii. All instructors makes assignments.
Determine which conclusion can be logically deduced.
a) None of these answers
b) Some instructors are friendly.
c) All instructors are friendly.
d) No instructor is friendly.
Question 24
Which is a linear factor of 5x2 - 14x + 8 ?
a) x - 3
b) 5x + 3
c) x + 3
d) 5x - 4
Question 25
Which statement is true for the figure shown, given that L1
and L2 are parallel lines?
![](Images/practice1/37.gif)
a) m
V = m
R
b) None of the statements is true.
c) Since m
T = 70º
m
S = 115º
d) Since m
T = 70º
m
Q = 70º
Question 26
Look for a common linear relationship between the numbers in each
pair. Then identify the missing term.
(8, 2)
(0.8, 0.2)
(-20, -5)
(1/9, 1/36)
(28, 7)
(1/4, ___)
a) 2
b) 16
c) 1/2
d) 1/16
Question 27
A college president wants to find out which courses are popular with students.
The president decides to conduct a survey of a sample of students. What procedure
would be most appropriate for obtaining a statistically unbiased sample of the
college's students?
a) Survey a random sample of students from a list of the entire student body.
b) Have students voluntarily mail in their preferences.
c) Survey a random sample of students from the English department.
d) Survey the first hundred students from an alphabetical listing.
Question 28
Two machines can complete 5 tasks every 3 days. Let t represent the number
of tasks these machines can complete in a 31-day month. Select the correct
statement of the given condition.
a) t/3 = 31/10
b) t/5 = 3/31
c) 5/3 = t/31
d) 3/5 = t/31
Question 29
If 50 is decreased to 40, what is the percent decrease?
a) 20%
b) 80%
c) 10%
d) 2%
Question 30
Sets A, B, C, and U are related as shown in the diagram below.
![](Images/practice1/51.gif)
What statement can be made regarding the relationship among the sets, assuming
none of the regions is empty?
a) No element which is a member of set C is also a member of set A.
b) All elements which are members of set A are also members of set B.
c) Any element which is a member of set A and set B cannot be in set C.
d) Any element which is a member of set U is also a member of set C.
Question 31
Find the real roots of the equation: 3x2 - 1 = 7x
a) ![](Images/practice1/25a.gif)
b) ![](Images/practice1/25b.gif)
c) ![](Images/practice1/25c.gif)
d) ![](Images/practice1/25d.gif)
Question 32
What type of measure is needed to express the line segment of the solid rectangle
shown below?
![](Images/practice1/32.gif)
a) linear
b) cubic
c) square
d) equilateral
Question 33
Find
of 10.
a) 0.105
b) 1.05
c) 10.5
d) 0.10
Question 34
The number of patients treated at Dr. Jason's dentist office each day was
recorded for 10 days. Using the given data, find the mean, the median, and
the mode for this sample.
1, 28, 23, 19, 17, 19, 13, 19, 4, 14
a) 15, 7, 18, 19
b) 15.7, 19, 18
c) 19, 18, 15.7
d) 14.5, 19, 18
Question 35
The statement logically equivalent to "It is not true that both Michael
and Ralph are teachers" is:
a) If Michael is not a teacher, Ralph is not a teacher.
b) Michael is not a teacher or Ralph is not a teacher.
c) Ralph is not a teacher and Michael is not a teacher.
d) If Ralph is not a teacher, Michael is not a teacher.
Question 36
Divide:
=
a) ![](Images/practice1/15a.gif)
b) ![](Images/practice1/15b.gif)
c) ![](Images/practice1/15c.gif)
d) ![](Images/practice1/15d.gif)
Question 37
With Tony's new car, he is using only 79% as much gasoline per month as with
his old car. He was using 101 gallons of gasoline per month with his old car.
How much gasoline per month does Tony save with his new car?
a) 39.9 gal
b) 79.8 gal
c) 21.2 gal
d) 8.0 gal
Question 38
Which statement is true for the pictured triangles?
![](Images/practice1/38a.gif)
a) m
x = 40º
b) m
z
m
w
c) AC = 5.8
d) CE/CA = CB/CD
Question 39
Find: 4t + 3t X 3 + 16t2 ÷ 8 X 3
a) 2/3 t2 + 13t
b) 6t2 + 21t
c) 2/3 t2 + 21t
d) 6t2 + 13t
Question 40
The graph below represents the yearly rainfall in inches in Sagamore County
for 1985-1990. Find the rainfall for 1987.
![](Images/practice1/40.gif)
a) 37 inches
b) 43 inches
c) 20 inches
d) 29 inches
Question 41
Solve the system:
3x - y = -5
6x - 2y = 10
a) {(x, y) | y = 3x + 5}
b) The empty set
c) (-1, 2)
d) (1, 2)
Question 42
Select the rule of logical equivalence that directly transforms (in
one step) statement "i" into statement "ii."
i. If x2 is odd, then x is odd.
ii. If x is not odd, then x2 is not odd.
a) "If p, then q" is equivalent to "(not p) or q."
b) The correct equivalence rule is not given.
c) "If p, then q" is equivalent to "if not q, then not p."
d) "Not (p and q)" is equivalent to "not p or not q."
Question 43
Identify the angle below.
![](Images/practice1/36.gif)
a) obtuse
b) right
c) acute
d) straight
Question 44
How many whole numbers leave a remainder of 2 when divided into 34 and a remainder
of 3 when divided into 19?
a) 4
b) 5
c) 2
d) 3
Question 45
Choose the statement that is not true for all real numbers.
a) (a + b) (a - b) = (a - b) (a + b)
b) 6xy (2x + y) = 6xy (2y + x)
c) (2a) b = 2 (ab)
d) 6 (a) + 6 (b) = 6 (a + b)
Question 46
The probability of getting an A in Mrs. Ford's class in any semester is 22%.
What is the probability of NOT getting an A?
a) 88%
b) 78%
c) 68%
d) 56%
Question 47
Solve for b: 19b - 2 < 20b + 12
a) b = -14
b) b > -14
c) b > 14
d) b < -14
Question 48
Find the cost of carpeting an office that measures 21 feet by 24 feet if the
carpet costs $10.50 per square yard.
a) $5292.00
b) $588.00
c) $1764.00
d) $882.00
Question 49
For each of the statements below, determine whether -2 is a solution.
(i) | x - 2 | = 0
(ii) (t + 5)) (t - 1) < 9
(iii) y2 + 6y + 18 = 10
a) ii only
b) ii and iii only
c) i only
d) iii only
Question 50
A panel of judges is to consist of 2 women and 5 men. A list of potential judges
has 4 women and 7 men on it. How many different panels could be created from
this list?
a) 32
b) 126
c) 6
d) 18
Question 51
The formula for finding the simple interest (I) on a loan is I = PRT. How much
interest will Bill pay on his car loan if he finances $16,000 (P) at a 10% simple
interest rate (R) for 2 years (T)?
a) $3200
b) $800
c) $320
d) $1600
Question 52
The negation of the statement "If Rita is offered a free trip, she will
accept it" is:
a) If Rita is not offered a free trip, she will not accept it.
b) Rita is offered a free trip and she accepts it.
c) Rita is offered a free trip and she does not accept it.
d) If Rita is offered a free trip, she will not accept it.
Question 53
Find f(3) given f(x) = 3x2 - 2x + 7.
a) 10
b) 28
c) 21
d) 16
Question 54
The graph below represents the distribution of scores on a placement
test for students at Central High School. Select the statement that is true
about the distribution of scores.
![](Images/practice1/43.gif)
a) The mean and the mode are the same.
b) The median is greater than the mode.
c) The mean is less than the mode.
d) The median and the mode are the same.
Question 55
A 12-ounce can of grape juice concentrate costs $1.20, and a 24-ounce can costs
$2.88. How much money can be saved by buying 280 ounces of the more economical
size?
a) $28.00
b) $33.60
c) $1.68
d) $5.60
Question 56
If x-2(3x - 1) = 0, then
a) x = -2/7
b) x = -2/5
c) x = -1/5
d) x = 2/5