ASVAB Arithmetic Reasoning Practice Test 350564 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

Review

1

What is (b5)4?

80% Answer Correctly
b
5b4
b20
b-1

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(b5)4
b(5 * 4)
b20


2

A tiger in a zoo has consumed 45 pounds of food in 9 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 65 pounds?

56% Answer Correctly
7
3
10
4

Solution

If the tiger has consumed 45 pounds of food in 9 days that's \( \frac{45}{9} \) = 5 pounds of food per day. The tiger needs to consume 65 - 45 = 20 more pounds of food to reach 65 pounds total. At 5 pounds of food per day that's \( \frac{20}{5} \) = 4 more days.


3

What is \( \frac{9}{3} \) + \( \frac{7}{7} \)?

59% Answer Correctly
1 \( \frac{7}{16} \)
1 \( \frac{4}{9} \)
4
\( \frac{6}{21} \)

Solution

To add these fractions, first find the lowest common multiple of their denominators. The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 7 are [7, 14, 21, 28, 35, 42, 49, 56, 63, 70]. The first few multiples they share are [21, 42, 63, 84] making 21 the smallest multiple 3 and 7 share.

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

\( \frac{9 x 7}{3 x 7} \) + \( \frac{7 x 3}{7 x 3} \)

\( \frac{63}{21} \) + \( \frac{21}{21} \)

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

\( \frac{63 + 21}{21} \) = \( \frac{84}{21} \) = 4


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 20% off." If Monty buys two shirts, each with a regular price of $32, how much will he pay for both shirts?

57% Answer Correctly
$6.40
$36.80
$57.60
$25.60

Solution

By buying two shirts, Monty will save $32 x \( \frac{20}{100} \) = \( \frac{$32 x 20}{100} \) = \( \frac{$640}{100} \) = $6.40 on the second shirt.

So, his total cost will be
$32.00 + ($32.00 - $6.40)
$32.00 + $25.60
$57.60


5

Which of these numbers is a factor of 72?

68% Answer Correctly
54
34
46
72

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.