ASVAB Exam Questions & Answers 2026 (21–30)

Question 1

What is the value of (0.2)5 ?

TheoryPractice · Accepted Answer

0.00032. Tackle the problem in two stages. First find the value of exponent ignoring the decimal. Second, find the position of the decimal.

2⁵ = 2 x2 x 2 x2 x 2 x 2 = 32

(0.2)⁵= 0.2 x 0.2 x 0.2 x 0.2 x 0.2 x 0.2 = 0.00032

Key takeaway: In decimal based exponents’ problems, be careful in placing decimal at correct position.

Question 2

What are the roots of the equation b² + 15 = −8b?

TheoryPractice · Accepted Answer

−3 and −5. Solution: First rewrite the quadratic equation in standard form. This means getting all the terms on one side and zero on the other side:

b² + 15	=	−8b
b² + 15 + 8b	=	−8b + 8b
b² + 8b + 15	=	0

Now factor the left side of the equation. Set up two pairs of parentheses, and fill in the factors of b² as the first terms:

(b )(b )

Now find two factors of 15 that add up to 8. Since 15 is positive, these two factors must have the same sign. And since two negative numbers can't possibly add up to 8, both of these factors must be positive.

The numbers that work are 3 and 5, because 3 × 5 = 15 and 3 + 5 = 8. Put these into the parentheses as the last terms:

(b + 3)(b + 5) = 0

Finally, to find the roots of the equation, set each factor equal to zero and solve for b:

b + 3	=	0	b + 5	=	0
b + 3 − 3	=	0 − 3	b + 5 − 5	=	0 − 5
b	=	−3	b	=	−5

Question 3

In an examination consisting of 4 subjects, John achieved scores of 100, 60, and 55 in three of the subjects. To maintain an average mark of 75 across all four subjects, what score must John have received in the fourth subject?

TheoryPractice · Accepted Answer

85. To find the score John must have received in the fourth subject, we need to consider the average mark across all four subjects. Since John achieved scores of 100, 60, and 55 in three of the subjects, we can calculate the sum of these scores (100 + 60 + 55) which equals 215.

Now, to maintain an average mark of 75 across all four subjects, we need to find the total score John should have received in all four subjects. We can start by multiplying the average mark of 75 by 4 to get the desired total score, which is 300.

To find the score John must have received in the fourth subject, we subtract the sum of the scores achieved in the three subjects from the desired total score. In this case, 300 - 215 equals 85.

Therefore, John must have received a score of 85 in the fourth subject to maintain an average mark of 75 across all four subjects.

Question 4

Which figure BEST shows how the objects in the left box will appear if they are fit together?

TheoryPractice · Accepted Answer

D. Only in figure D shapes of pieces are the same.

Question 5

The accusation was hurtful

TheoryPractice · Accepted Answer

Statement of wrongdoing. An accusation is a statement, or claim, of wrongdoing.

Question 6

Use your knowledge of word roots to determine which word is most similar in meaning to equity.

TheoryPractice · Accepted Answer

Fairness. Solution: The word root equ means equal.

Question 7

The letter emphasized two important ideas.

TheoryPractice · Accepted Answer

Stressed. To emphasize is to stress.

Question 8

In the figure above, the flat sheet metal pattern that can be bent along the dotted lines to form the completely closed triangular box is

TheoryPractice · Accepted Answer

2. As brace C has the greatest area of support, it is the most secure.

Question 9

What is the friction due to air called?

TheoryPractice · Accepted Answer

Air resistance. The friction due to air has a special name: air resistance.

Question 10

What are the differences between a wedge and an inclined plane?

TheoryPractice · Accepted Answer

A wedge is used in motion.. A wedge is a simple machine that is used for splitting, cutting, or holding objects in place. It has a triangular shape and is typically made of metal or wood. When a wedge is used, it is either driven into an object or used to separate two objects by applying force in a focused and concentrated manner. This motion makes a wedge different from an inclined plane.

ASVAB Exam Questions & Answers 2026 (21–30)

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