ASVAB Arithmetic Reasoning Practice Test 407633 Results

Your Results Global Average
Questions 5 5
Correct 0 3.50
Score 0% 70%

Review

1

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

57% Answer Correctly
$33.80
$39.00
$42.90
$16.90

Solution

By buying two shirts, Roger 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


2

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

absolute value

greatest common multiple

greatest common factor

least common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


3

What is \( \frac{24\sqrt{8}}{8\sqrt{2}} \)?

71% Answer Correctly
\(\frac{1}{3}\) \( \sqrt{\frac{1}{4}} \)
\(\frac{1}{4}\) \( \sqrt{3} \)
3 \( \sqrt{4} \)
\(\frac{1}{4}\) \( \sqrt{\frac{1}{3}} \)

Solution

To divide terms with radicals, divide the coefficients and radicands separately:

\( \frac{24\sqrt{8}}{8\sqrt{2}} \)
\( \frac{24}{8} \) \( \sqrt{\frac{8}{2}} \)
3 \( \sqrt{4} \)


4

Damon loaned Diane $800 at an annual interest rate of 1%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$872
$808
$856
$840

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 $800
i = 0.01 x $800

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $800 + $8
total = $808


5

If a car travels 120 miles in 8 hours, what is the average speed?

86% Answer Correctly
65 mph
50 mph
25 mph
15 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{120mi}{8h} \)
15 mph