ASVAB Arithmetic Reasoning Practice Test 850742 Results

Your Results Global Average
Questions 5 5
Correct 0 3.28
Score 0% 66%

Review

1

What is \( \frac{5}{9} \) + \( \frac{9}{15} \)?

60% Answer Correctly
\( \frac{6}{9} \)
\( \frac{9}{45} \)
1\(\frac{7}{45}\)
1 \( \frac{8}{45} \)

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90] and the first few multiples of 15 are [15, 30, 45, 60, 75, 90]. The first few multiples they share are [45, 90] making 45 the smallest multiple 9 and 15 share.

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

\( \frac{5 x 5}{9 x 5} \) + \( \frac{9 x 3}{15 x 3} \)

\( \frac{25}{45} \) + \( \frac{27}{45} \)

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

\( \frac{25 + 27}{45} \) = \( \frac{52}{45} \) = 1\(\frac{7}{45}\)


2

What is 2a5 x 8a3?

75% Answer Correctly
16a8
10a5
10a3
16a-2

Solution

To multiply terms with exponents, the base of both exponents must be the same. In this case they are so multiply the coefficients and add the exponents:

2a5 x 8a3
(2 x 8)a(5 + 3)
16a8


3

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Monty buys two shirts, each with a regular price of $37, how much will he pay for both shirts?

57% Answer Correctly
$46.25
$14.80
$59.20
$22.20

Solution

By buying two shirts, Monty will save $37 x \( \frac{40}{100} \) = \( \frac{$37 x 40}{100} \) = \( \frac{$1480}{100} \) = $14.80 on the second shirt.

So, his total cost will be
$37.00 + ($37.00 - $14.80)
$37.00 + $22.20
$59.20


4

Which of the following is not a prime number?

65% Answer Correctly

9

7

5

2


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


5

Ezra loaned Charlie $1,400 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly
$98
$49
$30
$72

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = (\( \frac{6}{100} \)) x $1,400
i = 0.07 x $1,400
i = $98