ASVAB Arithmetic Reasoning Practice Test 334995 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.04
Score	0%	61%

Review

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

	least common multiple
	absolute value
	greatest common factor
	greatest common multiple

Solution

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

What is $ 8 $$ \sqrt{50} $ - $ 2 $$ \sqrt{2} $

39% Answer Correctly

	6$ \sqrt{-21} $
	38$ \sqrt{2} $
	6$ \sqrt{25} $
	16$ \sqrt{25} $

Solution

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

8$ \sqrt{50} $ - 2$ \sqrt{2} $
8$ \sqrt{25 \times 2} $ - 2$ \sqrt{2} $
8$ \sqrt{5^2 \times 2} $ - 2$ \sqrt{2} $
(8)(5)$ \sqrt{2} $ - 2$ \sqrt{2} $
40$ \sqrt{2} $ - 2$ \sqrt{2} $

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

40$ \sqrt{2} $ - 2$ \sqrt{2} $
(40 - 2)$ \sqrt{2} $
38$ \sqrt{2} $

What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?

69% Answer Correctly

	46
	39
	43
	48

Solution

The equation for this sequence is:

a_n = a_n-1 + 3(n - 1)

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

a₆ = a₅ + 3(6 - 1)
a₆ = 31 + 3(5)
a₆ = 46

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 5% off." If Alex buys two shirts, each with a regular price of $32, how much money will he save?

70% Answer Correctly

	$8.00
	$16.00
	$14.40
	$1.60

Solution

By buying two shirts, Alex will save $32 x $ \frac{5}{100} $ = $ \frac{$32 x 5}{100} $ = $ \frac{$160}{100} $ = $1.60 on the second shirt.

The total water usage for a city is 30,000 gallons each day. Of that total, 16% is for personal use and 33% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	5,100
	4,000
	6,000
	14,400

Solution

33% of the water consumption is industrial use and 16% is personal use so (33% - 16%) = 17% more water is used for industrial purposes. 30,000 gallons are consumed daily so industry consumes $ \frac{17}{100} $ x 30,000 gallons = 5,100 gallons.

	6\( \sqrt{-21} \)
	38\( \sqrt{2} \)
	6\( \sqrt{25} \)
	16\( \sqrt{25} \)