ASVAB Arithmetic Reasoning Number Properties Practice Test 462212 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.44
Score	0%	69%

Review

If \( \left|y + 9\right| \) - 3 = -4, which of these is a possible value for y?

62% Answer Correctly

	9
	-8
	-5
	-13

Solution

First, solve for \( \left|y + 9\right| \):

The value inside the absolute value brackets can be either positive or negative so (y + 9) must equal - 1 or --1 for \( \left|y + 9\right| \) to equal -1:

y + 9 = -1
y = -1 - 9
y = -10

y + 9 = 1
y = 1 - 9
y = -8

So, y = -8 or y = -10.

What is the greatest common factor of 76 and 24?

77% Answer Correctly

	20
	4
	3
	9

Solution

The factors of 76 are [1, 2, 4, 19, 38, 76] and the factors of 24 are [1, 2, 3, 4, 6, 8, 12, 24]. They share 3 factors [1, 2, 4] making 4 the greatest factor 76 and 24 have in common.

Which of these numbers is a factor of 56?

69% Answer Correctly

	2
	7
	19
	4

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.

What is the least common multiple of 3 and 9?

73% Answer Correctly

	15
	21
	9
	13

Solution

The first few multiples of 3 are [3, 6, 9, 12, 15, 18, 21, 24, 27, 30] and the first few multiples of 9 are [9, 18, 27, 36, 45, 54, 63, 72, 81, 90]. The first few multiples they share are [9, 18, 27, 36, 45] making 9 the smallest multiple 3 and 9 have in common.

If \( \left|y + 9\right| \) - 3 = -4, which of these is a possible value for y?

62% Answer Correctly

	9
	-8
	-5
	-13

Solution

First, solve for \( \left|y + 9\right| \):

The value inside the absolute value brackets can be either positive or negative so (y + 9) must equal - 1 or --1 for \( \left|y + 9\right| \) to equal -1:

y + 9 = -1
y = -1 - 9
y = -10

y + 9 = 1
y = 1 - 9
y = -8

So, y = -8 or y = -10.