ASVAB Arithmetic Reasoning Practice Test 783671 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.74
Score	0%	55%

Review

Which of the following statements about exponents is false?

47% Answer Correctly

	all of these are false
	b¹ = 1
	b⁰ = 1
	b¹ = b

Solution

A number with an exponent (b^e) 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).

A bread recipe calls for 3$\frac{3}{8}$ cups of flour. If you only have $\frac{3}{4}$ cup, how much more flour is needed?

62% Answer Correctly

	1$\frac{1}{2}$ cups
	3$\frac{1}{4}$ cups
	2$\frac{5}{8}$ cups
	2$\frac{7}{8}$ cups

Solution

The amount of flour you need is (3$\frac{3}{8}$ - $\frac{3}{4}$) cups. Rewrite the quantities so they share a common denominator and subtract:

($ \frac{27}{8} $ - $ \frac{6}{8} $) cups
$ \frac{21}{8} $ cups
2$\frac{5}{8}$ cups

Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 12 small cakes per hour. The kitchen is available for 4 hours and 27 large cakes and 100 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

	14
	10
	6
	7

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. 27 large cakes are needed for the party so $ \frac{27}{12} $ = 2$\frac{1}{4}$ cooks are needed to bake the required number of large cakes.

If a single cook can bake 12 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 12 x 4 = 48 small cakes during that time. 100 small cakes are needed for the party so $ \frac{100}{48} $ = 2$\frac{1}{12}$ 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 + 3 = 6 cooks.

A tiger in a zoo has consumed 60 pounds of food in 6 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 90 pounds?

56% Answer Correctly

	5
	8
	4
	3

Solution

If the tiger has consumed 60 pounds of food in 6 days that's $ \frac{60}{6} $ = 10 pounds of food per day. The tiger needs to consume 90 - 60 = 30 more pounds of food to reach 90 pounds total. At 10 pounds of food per day that's $ \frac{30}{10} $ = 3 more days.

Frank loaned Latoya $1,100 at an annual interest rate of 7%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly

	$1,177
	$1,199
	$1,166
	$1,144

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 $1,100
i = 0.07 x $1,100

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

total = $1,100 + $77
total = $1,177

	1\(\frac{1}{2}\) cups
	3\(\frac{1}{4}\) cups
	2\(\frac{5}{8}\) cups
	2\(\frac{7}{8}\) cups