ASVAB Arithmetic Reasoning Practice Test 722291 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.42
Score	0%	68%

Review

Simplify \( \frac{40}{76} \).

77% Answer Correctly

	\( \frac{10}{19} \)
	\( \frac{8}{11} \)
	\( \frac{6}{19} \)
	\( \frac{1}{4} \)

Solution

To simplify this fraction, first find the greatest common factor between them. The factors of 40 are [1, 2, 4, 5, 8, 10, 20, 40] and the factors of 76 are [1, 2, 4, 19, 38, 76]. They share 3 factors [1, 2, 4] making 4 their greatest common factor (GCF).

Next, divide both numerator and denominator by the GCF:

\( \frac{40}{76} \) = \( \frac{\frac{40}{4}}{\frac{76}{4}} \) = \( \frac{10}{19} \)

11 members of a bridal party need transported to a wedding reception but there are only 2 5-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly

	9
	6
	8
	1

Solution

There are 2 5-passenger taxis available so that's 2 x 5 = 10 total seats. There are 11 people needing transportation leaving 11 - 10 = 1 who will have to find other transportation.

What is \( \frac{4}{9} \) ÷ \( \frac{1}{6} \)?

68% Answer Correctly

	\(\frac{8}{25}\)
	24
	\(\frac{1}{28}\)
	2\(\frac{2}{3}\)

Solution

To divide fractions, invert the second fraction and then multiply:

\( \frac{4}{9} \) ÷ \( \frac{1}{6} \) = \( \frac{4}{9} \) x \( \frac{6}{1} \)

To multiply fractions, multiply the numerators together and then multiply the denominators together:

\( \frac{4}{9} \) x \( \frac{6}{1} \) = \( \frac{4 x 6}{9 x 1} \) = \( \frac{24}{9} \) = 2\(\frac{2}{3}\)

The total water usage for a city is 5,000 gallons each day. Of that total, 34% is for personal use and 46% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

58% Answer Correctly

	600
	10,400
	12,500
	11,500

Solution

46% of the water consumption is industrial use and 34% is personal use so (46% - 34%) = 12% more water is used for industrial purposes. 5,000 gallons are consumed daily so industry consumes \( \frac{12}{100} \) x 5,000 gallons = 600 gallons.

Convert 3,250,000 to scientific notation.

62% Answer Correctly

	3.25 x 10^-5
	3.25 x 10^-6
	3.25 x 10⁶
	32.5 x 10⁵

Solution

A number in scientific notation has the format 0.000 x 10^exponent. 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:

3,250,000 in scientific notation is 3.25 x 10⁶