Arithmetic Reasoning - ASVAB Advantage

Question 1 of 50

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?

7:4
9:4
9:2
5:6

Question 2 of 50

Simplify $\sqrt{50}$

2√2
5√4
2√4
5√2

Question 3 of 50

What is 2 $\sqrt{112}$ + 6 $\sqrt{7}$

12√784
14√7
8√784
12√16

Question 4 of 50

A triathlon course includes a 400m swim, a 40.8km bike ride, and a 3.3km run. What is the total length of the race course?

66.9km
60.2km
44.5km
52.1km

Question 5 of 50

What is 1/9 ÷ 1/9?

2/35
9
1
1/48

Question 6 of 50

If $| a | = 7$ , which of the following best describes a?

none of these is correct
a = 7 or a = -7
a = 7
a = -7

Question 7 of 50

Which of the following is an improper fraction?

7/15
1 2/5
a/5
2/5

Question 8 of 50

Which of the following is not an integer?

0
-1
1/2
1

Question 9 of 50

Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 16 small cakes per hour. The kitchen is available for 3 hours and 35 large cakes and 360 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

8
5
7
11

Question 10 of 50

On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

14
7
13
10

Question 11 of 50

Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 11 small cakes per hour. The kitchen is available for 4 hours and 37 large cakes and 210 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

15
14
9
8

Question 12 of 50

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?

3:4
25:2
1:2
9:6

Question 13 of 50

Which of the following is not an integer?

0
1
-1
1/2

Question 14 of 50

The __________ is the smallest positive integer that is a multiple of two or more integers.

least common factor
least common multiple
absolute value
greatest common factor

Question 15 of 50

What is $\sqrt{\frac{25}{64}}$ $\sqrt{\frac{25}{64}}$

1
4
7/9
5/8

Question 16 of 50

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?

3:6
1:2
25:2
7:2

Question 17 of 50

What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?

35
31
23
26

Question 18 of 50

In a class of 24 students, 11 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?

20
16
5
12

Question 19 of 50

What is 1/6 x 4/8?

2/21
1/12
1/63
1/2

Question 20 of 50

What is 5/3 + 2/7?

2 8/21
1 20/21
5/21
1 3/7

Question 21 of 50

What is -2b³ x 3b⁴?

-6b7
b7
-6b
-6b12

Question 22 of 50

On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?

22
42
39
29

Question 23 of 50

In a class of 35 students, 11 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?

10
28
11
15

Question 24 of 50

A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 35% off.” If Bob buys two shirts, each with a regular price of $28, how much will he pay for both shirts?

$46.20
$30.80
$40.60
$18.20

Question 25 of 50

What is 4/8 ÷ 2/6?

2/5
1 1/2
4/81
1/4

Question 26 of 50

Ezra loaned Christine $1,100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?

$1,122
$1,177
$1,188
$1,199

Question 27 of 50

Solve for 5!/3!

840
1/8
9
20

Question 28 of 50

The __________ is the smallest positive integer that is a multiple of two or more integers.

absolute value
least common multiple
least common factor
greatest common factor

Question 29 of 50

If a rectangle is twice as long as it is wide and has a perimeter of 24 meters, what is the area of the rectangle?

2 m2
32 m2
128 m2
72 m2

Question 30 of 50

If a car travels 240 miles in 6 hours, what is the average speed?

40 mph
45 mph
55 mph
25 mph

Question 31 of 50

What is 4/6 + 4/10?

1 7/14
1 8/17
1 9/30
1 1/15

Question 32 of 50

Convert b^-2 to remove the negative exponent.

−1/b−2
1/b−2
−1/−2b
1/b2

Question 33 of 50

What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?

38
45
46
48

Question 34 of 50

How many hours does it take a car to travel 65 miles at an average speed of 65 miles per hour?

4 hours
2 hours
1 hour
3 hours

Question 35 of 50

A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 30% off.” If Alex buys two shirts, each with a regular price of $49, how much will he pay for both shirts?

$83.30
$68.60
$14.70
$51.45

Question 36 of 50

Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 12 small cakes per hour. The kitchen is available for 4 hours and 21 large cakes and 350 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

9
15
14
10

Question 37 of 50

What is 6 $\sqrt{75}$ – 2 $\sqrt{3}$

2√83
4√25
4√-16
12√225

Question 38 of 50

What is 8b8/2b2?

4b-6
4b16
4b6
1/4 b-6

Question 39 of 50

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?

1:2
7:8
3:1
49:2

Question 40 of 50

A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 5% off.” If Monty buys two shirts, each with a regular price of $25, how much money will he save?

$1.25
$11.25
$5.00
$2.50

Question 41 of 50

A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 8 hours for maintenance.

How many error-free parts did the machine produce yesterday?

107.5
120.1
104.8
209

Question 42 of 50

a(b + c) = ab + ac defines which of the following?

distributive property for division
distributive property for multiplication
commutative property for division
commutative property for multiplication

Question 43 of 50

Which of the following statements about exponents is false?

b1 = b
all of these are false
b0 = 1
b1 = 1

Question 44 of 50

What is 3/6 – 7/10?

2 6/30
1 9/30
8/30
-1/5

Question 45 of 50

Simplify $\sqrt{18}$

6√4
8√2
3√2
6√2

Question 46 of 50

What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?

24
27
31
25

Question 47 of 50

How many 12-passenger vans will it take to drive all 56 members of the football team to an away game?

4 vans
14 vans
12 vans
5 vans

Question 48 of 50

How many hours does it take a car to travel 100 miles at an average speed of 20 miles per hour?

9 hours
3 hours
5 hours
4 hours

Question 49 of 50

What is the distance in miles of a trip that takes 9 hours at an average speed of 15 miles per hour?

135 miles
175 miles
260 miles
125 miles

Question 50 of 50

Betty scored 92% on her final exam. If each question was worth 2 points and there were 120 possible points on the exam, how many questions did Betty answer correctly?

41
53
70
55

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