ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 21:

  

  In the above figure, the sum of Angles 1 and 2 equals __________.

  A. 180 degrees

  B. 90 degrees

  C. 45 degrees

  D. 360 degrees

  Correct Answer: A

  Explanation:

  Supplementary angles always equal 180 degrees.

• Question 22:

  

  The angles of the quadrilateral above __________.

  A. are all right angles

  B. each equal 45 degrees

  C. are all unequal

  D. total 180 degrees

  Correct Answer: A

  Explanation:

  Rectangles have four equal angles, and all angles are right angles.

• Question 23:

  

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

  A. equilateral triangle

  B. right triangle

  C. scalene triangle

  D. isosceles triangle

  Correct Answer: D

  Explanation:

  In an isosceles triangle, Sides A and C are equal, and Angles 1 and 2 are equal.

• Question 24:

  A cylinder has a diameter of 12 inches and a height of 10 inches. What's its approximate volume?

  A. 4,521 cubic inches

  B. 120 cubic inches

  C. 1,130 cubic inches

  D. 1,440 cubic inches

  Correct Answer: C

  Explanation:

  For cylinders, Volume = πr2(h). Since the radius is half the diameter, the problem can be calculated this

  way: V = π(62)10. V = π(36)10.

  If π is approximately 3.14, then 3.14 x 36 x 10 = 1,130 cubic inches.

• Question 25:

  A cylinder has a diameter of 10 inches. What's its approximate area?

  A. π(102)

  B. π(25)

  C. π(5)

  D. π(102)(10)

  Correct Answer: B

  Explanation:

  The area of a cylinder is A = πr2. In this problem, A = π52= π(25). Radius is half the diameter.

• Question 26:

  A square box has 6-inch sides.

  What's its volume?

  A. 18 cubic inches

  B. 216 cubic inches

  C. 12 cubic inches

  D. 36 cubic inches

  Correct Answer: B

  Explanation:

  Volume equals length x width x height (V =lwh): 6 x 6 x 6 = 216 cubic inches.

• Question 27:

  A circle measures 12 feet in diameter.

  What's its area to the nearest foot?

  A. 452

  B. 24

  C. 113

  D. 48

  Correct Answer: C

  Explanation:

  The area of a circle equals π times the radius squared. The radius is 1⁄2 the diameter.

  A = πr2. A = π62= π36.

  If π is approximately 3.14, the area of the circle is approximately 3.14 x 36 or 113 feet.

• Question 28:

  If -5x = 25, x equals __________.

  A. –5

  B. 5

  C. 10

  D. 0

  Correct Answer: A

  Explanation:

  Isolate x by dividing each side of the equation by –5:

  -5x ÷ -5 = 25 ÷ -5

  x = -5

• Question 29:

  √(5 + x)2 = __________.

  A. 5 – x

  B. 5 + x

  C. √5 – √x

  D. √5 + √x

  Correct Answer: B

  Explanation: This is so easy that it may tempt you to think that the correct answer is too obvious. The square root of (5 +x)2 is simply 5 + x.

• Question 30:

  (3 x 3)(5 – 3)(6 + 2) = x2.

  What's the value of x?

  A. 6

  B. 12

  C. 144

  D. 64

  Correct Answer: B

  Explanation:

  First solve the left side of the equation: (9)(2)(8) = 144. So x2 = 144.

  Find the square root of each side: x = 12.