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  • Armed Services Vocational Aptitude Battery

ASVAB

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Which number is prime?
[imath]\text{(A) } 21 \quad \text{(B) } 9 \quad \text{(C) } 13 \quad \text{(D) } 16[/imath]

Answer: C

(A) 21 → Not prime (divisible by 3 and 7)
(B) 9 → Not prime (divisible by 3)
(C) 13 → ✅ Prime (only divisible by 1 and 13)
(D) 16 → Not prime (divisible...
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2
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77
0 Votes
What is [imath]x + 4z - 5 - 3x[/imath], when [imath]x = 2[/imath] and [imath]z = 3x[/imath]?

A) [imath]15[/imath]
B) [imath]17[/imath]
C) [imath]23[/imath]
D) [imath]26[/imath]



Step-by-step Explanation

Step 1: Use the given value of [imath]x = 2[/imath]
Then [imath]z = 3x = 3 \cdot 2 = 6[/imath]

Since we know z=6, just replace z with 6 in the...
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7
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Evaluate the expression [imath]4a - 2x + 3y[/imath] if [imath]a = -2[/imath], [imath]x = 5[/imath], and [imath]y = 6[/imath]:
[imath]\text{(A) } 0 \quad \text{(B) } -10 \quad \text{(C) } 8 \quad \text{(D) } 12[/imath]

Answer: A

We are given:
[imath]4a - 2x + 3y[/imath]
where:
[imath]a = -2,\quad x = 5,\quad y = 6[/imath]


Step 1: Substitute...
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52
0 Votes
Evaluate
[imath]\frac{(m - n)^2 - 2p}{(-n)^3}[/imath]
when [imath]m = 7[/imath], [imath]n = 3[/imath], and [imath]p = 5[/imath]

A) [imath]\frac{1}{27}[/imath]
B) [imath]-\frac{1}{27}[/imath]
C) [imath]\frac{2}{9}[/imath]
D) [imath]-\frac{2}{9}[/imath]



Step-by-step Explanation

Step 1: Substitute values
[imath]\frac{(7 - 3)^2 -...[/imath]
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The sum of two angles in a triangle is [imath]136^\circ[/imath].
How many degrees is the third angle?

A) [imath]44^\circ[/imath]
B) [imath]90^\circ[/imath]
C) [imath]134^\circ[/imath]
D) [imath]224^\circ[/imath]



Step-by-step Explanation

Step 1: Use the triangle angle sum rule
The interior angles of any triangle always...
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2
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0 Votes
If [imath]\sqrt{x} + 6 = 16[/imath], then [imath]x[/imath] could equal:

A) [imath]1[/imath]
B) [imath]4[/imath]
C) [imath]10[/imath]
D) [imath]100[/imath]



Step-by-step Explanation

Step 1: Isolate the square root
[imath]\sqrt{x} + 6 = 16[/imath]

Subtract 6 from both sides:
[imath]\sqrt{x} + 6 - 6 = 16 - 6[/imath]

Then we get
[imath]\sqrt{x}...[/imath]
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7
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Which of the following pairs of numbers represents a perfect square and its square root?

A) [imath]16[/imath] and [imath]\sqrt{8}[/imath]
B) [imath]25[/imath] and [imath]\sqrt{5}[/imath]
C) [imath]125[/imath] and [imath]25[/imath]
D) [imath]256[/imath] and [imath]16[/imath]



Step-by-step Explanation

Step 1: Understand the question
We need a...
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5
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Simplify:
[imath]e^{ax} \cdot e^{-ax} - e^{2ax}[/imath]

A) [imath]e^{-2ax}[/imath]
B) [imath]e - e^{2ax}[/imath]
C) [imath]1 - e^{2ax}[/imath]
D) [imath]e^{-2a2x} - e^{2ax}[/imath]



Step-by-step Explanation

Step 1: Use exponent multiplication rule
When multiplying like bases, add the exponents:

[imath]e^{ax} \cdot...[/imath]
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Which of the following expressions is equivalent to
[imath]92x^2 + x - 1 + xy + \frac{2x^3}{x}[/imath]?

A) [imath]94x^2 + x + xy - 1[/imath]
B) [imath]92x^2 + 3x + xy - 1[/imath]
C) [imath]2x^2 + 92x + y - 1[/imath]
D) [imath]2x^3 + 92x^2 + 2x + xy - 1[/imath]



Step-by-step Explanation

Start with the given...
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3
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What is the reciprocal of [imath]15\frac{2}{3}[/imath]?

A) [imath]15\frac{3}{2}[/imath]
B) [imath]3\frac{2}{15}[/imath]
C) [imath]\frac{45}{3}[/imath]
D) [imath]\frac{3}{47}[/imath]



Step-by-step Explanation

Step 1: Convert the mixed number to an improper fraction

[imath]15\frac{2}{3}[/imath] means:

[imath]15 + \frac{2}{3} =...[/imath]
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6
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Which of these is the same as [imath]\frac{11}{20}[/imath]?

A) [imath]\frac{3}{4}[/imath]
B) [imath]45\%[/imath]
C) [imath]\frac{4}{7}[/imath]
D) [imath]55\%[/imath]



Step-by-step Explanation

Step 1: Convert the fraction to a decimal or percent

To convert [imath]\frac{11}{20}[/imath] to a percent:

[imath]\frac{11}{20} = 0.55 =...[/imath]
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4
0 Votes
If [imath]x = 2[/imath], what is the value of [imath]8x - x[/imath]?

A) [imath]8[/imath]
B) [imath]10[/imath]
C) [imath]14[/imath]
D) [imath]18[/imath]



Step-by-step Explanation

Step 1: Substitute the value of [imath]x[/imath]

We are given [imath]x = 2[/imath], so substitute that into the expression:

[imath]8x - x = 8(2) - 2[/imath]



Step...
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27
0 Votes
Which of the following is an expression for "the sum of three times a number and -7 is equal to 9"?

A) [imath]3x + (-7) = 9[/imath]
B) [imath]3x + 7 = 9[/imath]
C) [imath]x + 3 + (-7) = 9[/imath]
D) [imath]7x - 3 = 9[/imath]


Step-by-step Explanation

Step 1: Translate the sentence into math

The sentence says:
"The...
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11
0 Votes
If [imath]0.02 \div x = 1[/imath], then [imath]x =[/imath]

[imath]\text{(A) } 0.02 \quad \text{(B) } 50 \quad \text{(C) } 5.0 \quad \text{(D) } 0.5[/imath]


We are given:
[imath]0.02 \div x = 1[/imath]


Step 1: Multiply both sides by [imath]x[/imath]
Rewrite division to fraction (since they are the same thing)...
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2
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41
0 Votes
What is [imath](600 \times 3) \div 4[/imath]?
[imath]\text{(A) } 450 \quad \text{(B) } 200 \quad \text{(C) } 600 \quad \text{(D) } 300[/imath]



Step 1: Multiply:
[imath]600 \times 3 = 1800[/imath]

Step 2: Divide:
[imath]1800 \div 4 = 450[/imath]


Final answer: (A) [imath]450[/imath]
Remember PEMDAS

PEMDAS...
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Anonymous (3ccc)
A
1 Vote
Convert 24% to a fraction.
[imath]\text{(A) } \frac{6}{25} \quad \text{(B) } \frac{1}{25} \quad \text{(C) } \frac{6}{24} \quad \text{(D) } \frac{1}{24}[/imath]

Answer: A


Step 1: Write 24% as a fraction:
[imath]24\% = \frac{24}{100}[/imath]

Step 2: Simplify:
Find GCF of 24 and 100 → GCF = 4...
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2
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167
Anonymous (80cd)
A
0 Votes
A
1745947434038.png

Answer: B

1746251450281.png
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3
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Anonymous (db6f)
A
0 Votes
The reciprocal of [imath]\frac{1}{8}[/imath] is:
[imath]\text{(A) } 8 \quad \text{(B) } 1 \quad \text{(C) } \frac{1}{8} \quad \text{(D) } \frac{1}{4}[/imath]

Answer: A


The reciprocal of a fraction is found by flipping the numerator and denominator:

[imath]\text{Reciprocal of } \frac{1}{8} =...[/imath]
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2
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66
Anonymous (a53a)
A
2 Votes
If [imath]x = 6[/imath], what is the value of [imath]y[/imath] in the formula:

[imath]y = \left( \frac{x^2 + 2}{2} \right) - 5[/imath]

[imath]\text{(A) } 12 \quad \text{(B) } 13 \quad \text{(C) } 14 \quad \text{(D) } 15[/imath]

Answer: C


Step 1:
[imath]y = \left(\frac{x^2 + 2}{2}\right) - 5[/imath]
Substitute [imath]x = 6[/imath]...
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2
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109
Anonymous (691d)
A
0 Votes
A
1745949162649.png

Answer: C

1746263932902.png
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1
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36
Anonymous (e266)
A
0 Votes
A
1745472165015.png

Answer: C

1746222394938.png
Replies
1
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59
Anonymous (426f)
A
0 Votes
A
1745472347547.png

Answer: C

1746222571261.png
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1
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48
Anonymous (2c21)
A
0 Votes
A
Question
Solve for [imath]x[/imath]:

[imath](x - 1)^2 = (x + 1)^2[/imath]

A) [imath]0[/imath]
B) [imath]1[/imath]
C) [imath]2[/imath]
D) [imath]-1[/imath]



Step-by-step Explanation

Step 1: Expand both sides

Left side:
[imath](x - 1)^2 = x^2 - 2x + 1[/imath]

Right side:
[imath](x + 1)^2 = x^2 + 2x + 1[/imath]

So the...
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1
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32
Anonymous (e4ef)
A
0 Votes
A
Solve the following inequality:

[imath]\frac{3}{4}(4x - 8) + 5 > 6x + 2[/imath]

What is [imath]x[/imath]?

A) [imath]x > 2[/imath]
B) [imath]x < 4[/imath]
C) [imath]x > -1[/imath]
D) [imath]x < -1[/imath]



We are solving:
[imath]\frac{3}{4}(4x - 8) + 5 > 6x + 2[/imath]

Step 1: Distribute [imath]\frac{3}{4}[/imath]:
[imath]\frac{3}{4} \times...[/imath]
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1
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36
Anonymous (56ba)
A
0 Votes
[imath](5 \times 2)(8 - 3)(7 + 1) = (4 \times 5)x[/imath]

What is the value of [imath]x[/imath]?

[imath]\text{(A) } 20 \quad \text{(B) } 10 \quad \text{(C) } 40 \quad \text{(D) } 50[/imath]

Answer: C


We are given:
[imath](5 \times 2)(8 - 3)(7 + 1) = (4 \times 5)x[/imath]

Step 1: Simplify each part:
[imath]5 \times...[/imath]
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1
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42
Anonymous (64c1)
A
0 Votes
If
[imath]x - 4 = 10[/imath],
what is [imath]x[/imath]?

[imath]\text{A) } 6 \quad \text{B) } 14 \quad \text{C) } -6 \quad \text{D) } -14[/imath]

Answer: B



We are given the equation:
[imath]x - 4 = 10[/imath]

Step 1: Add 4 to both sides
We want to isolate [imath]x[/imath].

[imath]x - 4 + 4 = 10 + 4[/imath]
(since...
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46
0 Votes
A
1746266622625.png

Answer: B

1746266712999.png
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Anonymous (9e62)
A
0 Votes
A
1746266320334.png


What is the measure of the angle shown on the protractor?

A) [imath]30^\circ[/imath]
B) [imath]35^\circ[/imath]
C) [imath]40^\circ[/imath]
D) [imath]140^\circ[/imath]

Identify the baseline:
  • The bottom red line is aligned with [imath]0^\circ[/imath] on the protractor.
  • ✅ This will be the starting...
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0
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21
Anonymous (1fef)
A
0 Votes
A
1746265207761.png

Answer: C

1746265326087.png
Replies
0
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15
Anonymous (2e82)
A
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