Free ASVAB Section 2: Arithmetic Reasoning Exam Braindumps (page: 18)

Page 18 of 65

A personal trainer earns a 65% commission on her training sales.
If she sells $530.00 worth of training, how much commission does she make?

  1. $874.50
  2. $34.45
  3. $344.50
  4. $185.50

Answer(s): C

Explanation:

Multiply her total sales by her percent commission to find her commission: $530.00 × 0.65 = $344.50.



A rectangle is one inch longer than it is wide. Its diameter is five inches. What’s the width of the rectangle?

  1. 2 inches
  2. 3 inches
  3. 4 inches
  4. 5 inches

Answer(s): B

Explanation:

The diagonal formula for a rectangle is D2 = L2 + W2. In this case, D = 5, and L = W + 1. Substituting the known values into the formula results in 52 = (W + 1)2 + W2.
25 = (W + 1)(W + 1) + W2
25 = W2 + 2W + 1 + W2
25 = 2W2 + 2W + 1
(Note: This equation is a quadratic equation and can be solved by setting it equal to zero and factoring.) 0 = 2W2 + 2W – 24
1⁄2(0) = 1⁄2(2 W2 + 2W – 24)
0 = W2 + W – 12
0 = (W – 3)(W + 4)
W – 3 = 0W + 4 = 0
W = 3
W = –4 (not a possible solution)



A treasure map is drawn to a scale of 2 inches = 3 miles. On the map, the distance between Point A and X- marks-the-spot is 91/2 inches.
How many actual miles does this represent?

  1. 281/2 miles
  2. 141/4 miles
  3. 61/3 miles
  4. 19 miles

Answer(s): B

Explanation:

If 2 inches = 3 miles, then 1 inch equals 11/2 miles: 3 ÷ 2 = 1.5. Multiply 11/2 miles × 91/2 inches to determine the actual distance: 1.5 × 9.5 = 14.25 or 141/4 miles.



A painter has painted a picture on a piece of canvas that measures 10 × 14 inches. In order to accommodate a frame, he has left an unpainted margin of 1 inch all the way around.
What part of the canvas has been painted?

  1. 80%
  2. 75%
  3. 25%
  4. 66%

Answer(s): A

Explanation:

The area of the entire piece of canvas = 10 inches × 14 inches = 140 square inches. The portion painted on equals 8 inches × 12 inches = 112 square inches. (This is determined by subtracting 1 inch from the length of each side to account for the margin.) The portion used for painting can be expressed as a fraction: 112⁄140. Reduce this fraction (divide 112 by 140) to determine that 80% of the canvas is covered with paint.



Page 18 of 65



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