ASVAB Arithmetic Reasoning Practice Test 535637 Results

Your Results Global Average
Questions 5 5
Correct 0 3.12
Score 0% 62%

Review

1

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

greatest common factor

least common multiple

absolute value


Solution

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


2

What is \( 9 \)\( \sqrt{48} \) - \( 9 \)\( \sqrt{3} \)

38% Answer Correctly
0\( \sqrt{16} \)
27\( \sqrt{3} \)
81\( \sqrt{3} \)
0\( \sqrt{144} \)

Solution

To subtract these radicals together their radicands must be the same:

9\( \sqrt{48} \) - 9\( \sqrt{3} \)
9\( \sqrt{16 \times 3} \) - 9\( \sqrt{3} \)
9\( \sqrt{4^2 \times 3} \) - 9\( \sqrt{3} \)
(9)(4)\( \sqrt{3} \) - 9\( \sqrt{3} \)
36\( \sqrt{3} \) - 9\( \sqrt{3} \)

Now that the radicands are identical, you can subtract them:

36\( \sqrt{3} \) - 9\( \sqrt{3} \)
(36 - 9)\( \sqrt{3} \)
27\( \sqrt{3} \)


3

What is the next number in this sequence: 1, 5, 13, 25, 41, __________ ?

69% Answer Correctly
61
58
63
69

Solution

The equation for this sequence is:

an = an-1 + 4(n - 1)

where n is the term's order in the sequence, an is the value of the term, and an-1 is the value of the term before an. This makes the next number:

a6 = a5 + 4(6 - 1)
a6 = 41 + 4(5)
a6 = 61


4

14 members of a bridal party need transported to a wedding reception but there are only 3 4-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
9
7
4
2

Solution

There are 3 4-passenger taxis available so that's 3 x 4 = 12 total seats. There are 14 people needing transportation leaving 14 - 12 = 2 who will have to find other transportation.


5

Convert 1,283,000 to scientific notation.

62% Answer Correctly
1.283 x 107
1.283 x 106
12.83 x 105
1.283 x 10-5

Solution

A number in scientific notation has the format 0.000 x 10exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

1,283,000 in scientific notation is 1.283 x 106