ASVAB Arithmetic Reasoning Practice Test 34041 Results

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

Review

If $ \left|b - 1\right| $ - 1 = 5, which of these is a possible value for b?

62% Answer Correctly

	2
	-8
	-3
	-5

Solution

First, solve for $ \left|b - 1\right| $:

The value inside the absolute value brackets can be either positive or negative so (b - 1) must equal + 6 or -6 for $ \left|b - 1\right| $ to equal 6:

b - 1 = 6
b = 6 + 1
b = 7

b - 1 = -6
b = -6 + 1
b = -5

So, b = -5 or b = 7.

The __________ is the smallest positive integer that is a multiple of two or more integers.

56% Answer Correctly

	absolute value
	greatest common factor
	least common multiple
	least common factor

Solution

The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more integers.

Which of these numbers is a factor of 72?

68% Answer Correctly

	76
	49
	36
	22

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.

What is $ \sqrt{\frac{16}{16}} $?

70% Answer Correctly

	$\frac{4}{9}$
	$\frac{1}{3}$
	1
	$\frac{2}{3}$

Solution

To take the square root of a fraction, break the fraction into two separate roots then calculate the square root of the numerator and denominator separately:

$ \sqrt{\frac{16}{16}} $
$ \frac{\sqrt{16}}{\sqrt{16}} $
$ \frac{\sqrt{4^2}}{\sqrt{4^2}} $
1

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 40% off." If Bob buys two shirts, each with a regular price of $29, how much will he pay for both shirts?

57% Answer Correctly

	$31.90
	$36.25
	$46.40
	$39.15

Solution

By buying two shirts, Bob will save $29 x $ \frac{40}{100} $ = $ \frac{$29 x 40}{100} $ = $ \frac{$1160}{100} $ = $11.60 on the second shirt.

So, his total cost will be
$29.00 + ($29.00 - $11.60)
$29.00 + $17.40
$46.40

	\(\frac{4}{9}\)
	\(\frac{1}{3}\)
	1
	\(\frac{2}{3}\)