ASVAB Arithmetic Reasoning Practice Test 141484 Results

Your Results Global Average
Questions 5 5
Correct 0 3.26
Score 0% 65%

Review

1

What is \( \frac{3}{2} \) - \( \frac{7}{4} \)?

61% Answer Correctly
\( \frac{8}{4} \)
1 \( \frac{3}{4} \)
-\(\frac{1}{4}\)
\( \frac{3}{11} \)

Solution

To subtract these fractions, first find the lowest common multiple of their denominators. The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 4 are [4, 8, 12, 16, 20, 24, 28, 32, 36, 40]. The first few multiples they share are [4, 8, 12, 16, 20] making 4 the smallest multiple 2 and 4 share.

Next, convert the fractions so each denominator equals the lowest common multiple:

\( \frac{3 x 2}{2 x 2} \) - \( \frac{7 x 1}{4 x 1} \)

\( \frac{6}{4} \) - \( \frac{7}{4} \)

Now, because the fractions share a common denominator, you can subtract them:

\( \frac{6 - 7}{4} \) = \( \frac{-1}{4} \) = -\(\frac{1}{4}\)


2

4! = ?

84% Answer Correctly

5 x 4 x 3 x 2 x 1

4 x 3 x 2 x 1

3 x 2 x 1

4 x 3


Solution

A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.


3

Which of the following statements about exponents is false?

47% Answer Correctly

b1 = b

b1 = 1

all of these are false

b0 = 1


Solution

A number with an exponent (be) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b1 = b) and a base with an exponent of 0 equals 1 ( (b0 = 1).


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Frank buys two shirts, each with a regular price of $26, how much will he pay for both shirts?

57% Answer Correctly
$9.10
$32.50
$42.90
$35.10

Solution

By buying two shirts, Frank will save $26 x \( \frac{35}{100} \) = \( \frac{$26 x 35}{100} \) = \( \frac{$910}{100} \) = $9.10 on the second shirt.

So, his total cost will be
$26.00 + ($26.00 - $9.10)
$26.00 + $16.90
$42.90


5

A factor is a positive __________ that divides evenly into a given number.

78% Answer Correctly

improper fraction

fraction

mixed number

integer


Solution

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.