ASVAB Arithmetic Reasoning Practice Test 198746 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.34
Score	0%	67%

Review

What is the greatest common factor of 72 and 56?

77% Answer Correctly

	8
	20
	33
	1

Solution

The factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72] and the factors of 56 are [1, 2, 4, 7, 8, 14, 28, 56]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 72 and 56 have in common.

What is (y⁴)²?

80% Answer Correctly

	y^-2
	y²
	y⁶
	y⁸

Solution

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

(y⁴)²
y^{(4 * 2)}
y⁸

This property states taht the order of addition or multiplication does not mater. For example, 2 + 5 and 5 + 2 are equivalent.

60% Answer Correctly

	PEDMAS
	associative
	commutative
	distributive

Solution

The commutative property states that, when adding or multiplying numbers, the order in which they're added or multiplied does not matter. For example, 3 + 4 and 4 + 3 give the same result, as do 3 x 4 and 4 x 3.

23 members of a bridal party need transported to a wedding reception but there are only 4 5-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly

	3
	9
	7
	1

Solution

There are 4 5-passenger taxis available so that's 4 x 5 = 20 total seats. There are 23 people needing transportation leaving 23 - 20 = 3 who will have to find other transportation.

Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 17 small cakes per hour. The kitchen is available for 4 hours and 25 large cakes and 400 small cakes need to be baked.

How many cooks are required to bake the required number of cakes during the time the kitchen is available?

41% Answer Correctly

	13
	6
	9
	11

Solution

If a single cook can bake 3 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 3 x 4 = 12 large cakes during that time. 25 large cakes are needed for the party so \( \frac{25}{12} \) = 2\(\frac{1}{12}\) cooks are needed to bake the required number of large cakes.

If a single cook can bake 17 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 17 x 4 = 68 small cakes during that time. 400 small cakes are needed for the party so \( \frac{400}{68} \) = 5\(\frac{15}{17}\) cooks are needed to bake the required number of small cakes.

Because you can't employ a fractional cook, round the number of cooks needed for each type of cake up to the next whole number resulting in 3 + 6 = 9 cooks.