ASVAB Arithmetic Reasoning Practice Test 984340 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.18
Score	0%	64%

Review

If a car travels 280 miles in 8 hours, what is the average speed?

86% Answer Correctly

	55 mph
	65 mph
	25 mph
	35 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{280mi}{8h} $
35 mph

11 members of a bridal party need transported to a wedding reception but there are only 3 3-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly

	6
	7
	4
	2

Solution

There are 3 3-passenger taxis available so that's 3 x 3 = 9 total seats. There are 11 people needing transportation leaving 11 - 9 = 2 who will have to find other transportation.

Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 11 small cakes per hour. The kitchen is available for 4 hours and 30 large cakes and 220 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

41% Answer Correctly

	6
	14
	8
	39

Solution

If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 30 large cakes are needed for the party so $ \frac{30}{12} $ = 2$\frac{1}{2}$ cooks are needed to bake the required number of large cakes.

If a single cook can bake 11 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 11 x 4 = 44 small cakes during that time. 220 small cakes are needed for the party so $ \frac{220}{44} $ = 5 cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 5 = 8 cooks.

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 30% off." If Monty buys two shirts, each with a regular price of $12, how much will he pay for both shirts?

57% Answer Correctly

	$15.00
	$13.20
	$20.40
	$18.00

Solution

By buying two shirts, Monty will save $12 x $ \frac{30}{100} $ = $ \frac{$12 x 30}{100} $ = $ \frac{$360}{100} $ = $3.60 on the second shirt.

So, his total cost will be
$12.00 + ($12.00 - $3.60)
$12.00 + $8.40
$20.40

What is $ \frac{4c^8}{3c^3} $?

60% Answer Correctly

	$\frac{3}{4}$c⁵
	1$\frac{1}{3}$c^{$\frac{3}{8}$}
	1$\frac{1}{3}$c¹¹
	1$\frac{1}{3}$c⁵

Solution

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

$ \frac{4c^8}{3c^3} $
$ \frac{4}{3} $ c^{(8 - 3)}
1$\frac{1}{3}$c⁵

	\(\frac{3}{4}\)c⁵
	1\(\frac{1}{3}\)c^{\(\frac{3}{8}\)}
	1\(\frac{1}{3}\)c¹¹
	1\(\frac{1}{3}\)c⁵