ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 41:

  (x3)3 = __________.

  A. 3x3

  B. x6

  C. x9

  D. 2x6

  Correct Answer: C

  Explanation:

  (x3)3 is the same as (x3) (x3) (x3).

  Multiply exponents with the same base by keeping the base and adding the exponents: (x3) (x3) (x3) = x9.

• Question 42:

  A cube has a volume of 64 cubic inches.

  What's its surface area?

  A. 16 square inches

  B. 64 square inches

  C. 96 square inches

  D. 32 square inches

  Correct Answer: C

  Explanation:

  Volume is calculated by multiplying length times width times height (V = lwh).

  Because the edges are equal on a cube, each edge is 4 inches. The cube root of 64 produces this

  number: 64 = 4 x 4 x 4.

  The area of one side of the cube is 4 x 4 = 16, and because a cube has 6 sides, you multiply 16 x 6 to find

  the surface area of the cube, 96 inches.

• Question 43:

  A square box has a volume of 64 cubic inches.

  What's its perimeter?

  A. 8 inches

  B. 16 inches

  C. 64 inches

  D. 32 inches

  Correct Answer: B

  Explanation:

  Volume equals length times width times height (V = lwh). In this case, V = 64, so one side of the box is 4inches long. The cube root of 64 produces this number: 64 = 4 x 4 x 4.

  Find the perimeter by adding the four sides together: 4 + 4 + 4 + 4 = 16.

• Question 44:

  Solve for x: -x2 – x + 30 = 0

  A. 4, -8

  B. -6, 5

  C. -4, 5

  D. 6, -3

  Correct Answer: B

  Explanation: This is a quadratic equation, which is solved by factoring. –x2–x+ 30 = 0 –(–x2–x+ 30) = 0 x2+x– 30 = 0 (x+6)(x– 5) = 0 x+ 6 = 0x– 5 = 0 x= –6x= 5

• Question 45:

  

  Angle AB (shown above) is a(n) __________.

  A. complementary angle

  B. supplementary angle

  C. acute angle

  D. obtuse angle

  Correct Answer: D

  Explanation:

  Angles measuring more than 90 degrees are obtuse angles.

• Question 46:

  

  What type of quadrilateral is the figure above?

  A. square

  B. rhombus

  C. trapezoid

  D. parallelogram

  Correct Answer: D

  Explanation:

  Parallelograms have opposite sides of equal length.

• Question 47:

  

  Triangle ABC (shown above) is a(n) __________.

  A. right triangle

  B. equilateral triangle

  C. scalene triangle

  D. isosceles triangle

  Correct Answer: A

  Explanation:

  A right triangle has one right angle (one 90-degree angle).

• Question 48:

  A tube has a radius of 3 inches and a height of 5 inches.

  What's its approximate volume?

  A. 34 cubic inches

  B. 141 cubic inches

  C. 565 cubic inches

  D. 45 cubic inches

  Correct Answer: B

  Explanation:

  For cylinders, Volume = πr2(h). In this problem, V = π(32)(5).

  Assume π is approximately 3.14.

  V is approximately equal to (3.14)(9)(5) or 141 cubic inches.

• Question 49:

  Solve the following inequity:

  2⁄3(6x – 9) + 4 > 5x + 1

  A. x > 6

  B. x < 6

  C. x > -3

  D. x < -3

  Correct Answer: C

  Explanation: 2⁄3(6x– 9) + 4 > 5x+ 1 4x – 6 + 4 > 5x + 1 4x – 2 > 5x + 1 4x > 5x + 3 –x > 3 x < –3

• Question 50:

  A circle has a radius of 5 inches.

  What's its approximate area?

  A. 78.5 inches

  B. 70.0 inches

  C. 314.0 inches

  D. 25.0 inches

  Correct Answer: A

  Explanation:

  The area of a circle is A = πr2. A = π52.

  π is approximately 3.14, so 3.14 x 25 means A is approximately 78.5 inches.