ASVAB Exam Questions & Answers 2026 (21–30)

Question 1

Which value of x satisfies the equation x² − 5x + 6 = 0?

TheoryPractice · Accepted Answer

x = 2 or x = 3. Factor the quadratic: (x − 2)(x − 3) = 0, giving solutions x = 2 or x = 3.

Question 2

A cylindrical water tank has a radius of 3 feet and a height of 10 feet. What is the volume of the tank? (Use π ≈ 3.14)

TheoryPractice · Accepted Answer

282.6 ft³. Volume of a cylinder = π × r² × h = 3.14 × 9 × 10 = 282.6 ft³.

Question 3

If 2^n = 64, what is the value of n?

TheoryPractice · Accepted Answer

6. Since 2⁶ = 64, n = 6; each successive power of 2 doubles the result: 2, 4, 8, 16, 32, 64.

Question 4

Two supplementary angles are in the ratio 2:3. What is the measure of the larger angle?

TheoryPractice · Accepted Answer

108°. Supplementary angles sum to 180°; with ratio 2:3 the parts are 2x and 3x, so 5x = 180°, x = 36°, and the larger angle = 3 × 36° = 108°.

Question 5

Simplify: (3x²y)(4xy³)

TheoryPractice · Accepted Answer

12x³y⁴. Multiply the coefficients (3 × 4 = 12) and add exponents of like bases: x^(2+1) = x³ and y^(1+3) = y⁴, giving 12x³y⁴.

Question 6

If x + y = 10 and xy = 21, what is the value of x² + y²?

TheoryPractice · Accepted Answer

58. Use the identity x² + y² = (x + y)² − 2xy = 100 − 2(21) = 100 − 42 = 58.

Question 7

A sphere has a surface area of 144π cm². What is its volume?

TheoryPractice · Accepted Answer

288π cm³. Surface area = 4πr² = 144π gives r² = 36, so r = 6; volume = (4/3)πr³ = (4/3)π(216) = 288π cm³.

Question 8

Which expression is equivalent to (x² − 9) / (x² − x − 6)?

TheoryPractice · Accepted Answer

(x + 3)/(x + 2). Factor numerator as (x−3)(x+3) and denominator as (x−3)(x+2); cancel the (x−3) factor to get (x+3)/(x+2).

Question 9

What is the value of (27)^(−2/3)?

TheoryPractice · Accepted Answer

1/9. 27^(1/3) = 3, so 27^(2/3) = 3² = 9; the negative exponent gives the reciprocal: 27^(−2/3) = 1/9.

Question 10

An interior angle of a regular polygon measures 150°. How many sides does the polygon have?

TheoryPractice · Accepted Answer

12. For a regular n-gon, interior angle = (n−2)×180/n; setting equal to 150 gives 150n = 180n − 360, so 30n = 360, n = 12.