ASVAB ASVAB Certifications ASVAB-SECTION-6 Questions & Answers

• Question 141:

  How many inches are contained in /feet and /inches?

  A. f x i

  B. f + i

  C. f + 12f + i

  D. W + i

  Correct Answer: D

  Explanation:

  In 1 foot, there are 12 inches (12 x 1). In 2 feet, there are 24 inches (12 x 2). Therefore, in /feet, there are

  12 x f or 12f inches. Add 12/inches to / inches to obtain the total of 12f + i.

• Question 142:

  What is the value of (0.1)3?

  A. 0.3

  B. 0.003

  C. 0.1

  D. 0.001

  Correct Answer: D

  Explanation:

  The exponent in (0.1)3 means you use 0.1 as a multiplier 3 times.

  (0.1)3= (0.1) (0.1) (0.1) = 0.001

  When multiplying decimals, count off one decimal place in the answer for each decimal place in the

  numbers you multiply.

• Question 143:

  An equilateral triangle has the same perimeter as a square whose side is 12 inches.

  What is the length of a side of the triangle?

  A. 9 inches

  B. 12 inches

  C. 18 inches

  D. 16 inches

  Correct Answer: D

  Explanation:

  The perimeter of a square is 4 times a side. Therefore, the perimeter of this square is 4 x 12 inches or 48

  inches.

  The equilateral triangle has the same perimeter as the square. Since the 3 sides of an equilateral triangle

  are equal, divide by 3 to find the length of one side. (48 inches) ÷3 = 16 inches (length of one side).

• Question 144:

  If a car traveled 200 miles at an average rate of speed of r miles per hour, the time it took for the trip could be written as __________.

  A. 200/r

  B. r/200

  C. 200r

  D. r/60

  Correct Answer: A

  Explanation:

  The basic formula for travel is "distance equals rate multiplied by time," or D = rt.

  The car traveled 200 miles (D); therefore 200 =rt.

  To solve for time, divide both sides of the equation by r. (You are undoing the multiplication.)

  200/r = rt/rr

  200/r = t (time it took for trip)

• Question 145:

  A room is 19 feet long, 10 feet wide, and 8 feet high.

  If you want to paint the walls and ceiling, how many square feet of surface will you have to cover with paint?

  A. 232 square feet

  B. 422 square feet

  C. 464 square feet

  D. 654 square feet

  Correct Answer: D

  Explanation:

  First, find the area (surface) of the ceiling. Since it is opposite the floor, it has the same length and width A

  = lw). 19 feet x 10 feet = 190 square feet (ceiling).

  Next find the combined area of two matching (opposite) walls. Start with the walls formed by the length and

  height of the room. (Clear the decimal in the divisor.) 19 feet x 8 feet = 152 square feet (first wall). 152 feet

  x 2 = 304 square feet (matching walls).

  Then find the area of the walls formed by the width and height of the room. 10 feet x 8 feet = 80 square

  feet (second wall). 80 feet x 2 = 160 square feet (matching walls).

  Finally, combine all surfaces to be painted.

  190 + 304 + 160 = 654 square feet

• Question 146:

  If you divide 24x3 + 16x2 - 8x by 8x, how many x's will be there in the quotient?

  A. 0

  B. 5

  C. 2

  D. -1

  Correct Answer: C

  Explanation:

  An easy way to do this example is to break it into three examples, dividing each by 8x. Divide the numbers

  first and then the letters. However, to divide the exponents of x, just find the difference between them.

  (Thus, x3 ÷ x = x(3-1) = x2)

  24x3/8x + 16x2/8x - 8x/8x = 3x2 + 2x - 1

  Since the question asks only how many x's there are in the quotient (not how many x2's), the answer is 2.

• Question 147:

  One of the equal angles of an isosceles triangle is 40 degrees.

  What is the angle opposite the unequal side?

  A. 40 degrees

  B. 90 degrees

  C. 100 degrees

  D. 140 degrees

  Correct Answer: C

  Explanation:

  In an isosceles triangle, two of the sides are equal. This means that the angles opposite them are equal,

  too. If one is 40 degrees, then so is the other. To find the angle opposite the unequal side, begin by adding

  the equal angles.

  40 + 40 = 80 degrees

  To find the third angle, subtract this amount from 180 (the number of degrees in any triangle)

  180 - 80 = 100 degrees (third angle).

• Question 148:

  An artist sold 4 of his paintings. These represented 0.05 of all the artwork he had done.

  How many paintings had he made at that point?

  A. 100

  B. 80

  C. 50

  D. 20

  Correct Answer: B

  Explanation:

  Let p stand for the total number of paintings the artist has made. The 4 paintings he sold are equal to 0.05

  of all his paintings. This can be expressed as an equation:

  0.05p = 4

  To solve for p, divide both sides by 0.05. This undoes the multiplication of 0.05 and p and gives you the

  value of p so that you know the total number of paintings the artist has painted.

• Question 149:

  Solve for x:

  3x + 2 = -13

  A. x = 13

  B. x = -41/3

  C. x = 8

  D. x = -5

  Correct Answer: D

  Explanation: Step 1: Subtract 2 from each side of the equation in order to eliminate -2 from the left side. (You are undoing the addition.) 3x + 2 - 2 = -13 - 2 3x = -15 Step 2: Now divide each side by 3 to find x. (You are undoing the multiplication.) 3x/3 = -15/3 x = -5

• Question 150:

  If you cut the largest possible circular tabletop from a square whose sides measure two feet each, how much wood is wasted?

  Use 3.14 for π.

  A. 1 square foot

  B. 1.86 square feet

  C. 5.86 square feet

  D. 0.86 square feet

  Correct Answer: D

  Explanation: Step 1: Find the area of the square. 2 feet x 2 feet = 4 square feet Step 2: Find the area of the circle, using the formula A = πr2. (The radius equals half the diameter; the diameter of this circle is 2 feet – the same length as one side of the square.) 3.14 x r2 = 3.14 x 12 = 3.14 square feet Step 3: Subtract 3.14 square feet from 4 square feet to find the wood that is wasted, 0.86 square feet.