ASVAB Arithmetic Reasoning Practice Test 649634 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.84
Score	0%	57%

Review

Which of the following is an improper fraction?

70% Answer Correctly

	${7 \over 5} $
	${a \over 5} $
	${2 \over 5} $
	$1 {2 \over 5} $

Solution

A rational number (or fraction) is represented as a ratio between two integers, a and b, and has the form ${a \over b}$ where a is the numerator and b is the denominator. An improper fraction (${5 \over 3} $) has a numerator with a greater absolute value than the denominator and can be converted into a mixed number ($1 {2 \over 3} $) which has a whole number part and a fractional part.

A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 9 to 2 and the ratio of baseball to basketball cards is 9 to 1, what is the ratio of football to basketball cards?

53% Answer Correctly

	5:8
	81:2
	5:6
	3:1

Solution

The ratio of football cards to baseball cards is 9:2 and the ratio of baseball cards to basketball cards is 9:1. To solve this problem, we need the baseball card side of each ratio to be equal so we need to rewrite the ratios in terms of a common number of baseball cards. (Think of this like finding the common denominator when adding fractions.) The ratio of football to baseball cards can also be written as 81:18 and the ratio of baseball cards to basketball cards as 18:2. So, the ratio of football cards to basketball cards is football:baseball, baseball:basketball or 81:18, 18:2 which reduces to 81:2.

Which of the following statements about exponents is false?

47% Answer Correctly

	b⁰ = 1
	b¹ = 1
	all of these are false
	b¹ = b

Solution

A number with an exponent (b^e) consists of a base (b) raised to a power (e). The exponent indicates the number of times that the base is multiplied by itself. A base with an exponent of 1 equals the base (b¹ = b) and a base with an exponent of 0 equals 1 ( (b⁰ = 1).

Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 12 small cakes per hour. The kitchen is available for 4 hours and 29 large cakes and 310 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

	9
	14
	15
	8

Solution

If a single cook can bake 4 large cakes per hour and the kitchen is available for 4 hours, a single cook can bake 4 x 4 = 16 large cakes during that time. 29 large cakes are needed for the party so $ \frac{29}{16} $ = 1$\frac{13}{16}$ cooks are needed to bake the required number of large cakes.

If a single cook can bake 12 small cakes per hour and the kitchen is available for 4 hours, a single cook can bake 12 x 4 = 48 small cakes during that time. 310 small cakes are needed for the party so $ \frac{310}{48} $ = 6$\frac{11}{24}$ 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 2 + 7 = 9 cooks.

Monty loaned Bob $1,300 at an annual interest rate of 7%. If no payments are made, what is the interest owed on this loan at the end of the first year?

74% Answer Correctly

	$35
	$13
	$96
	$91

Solution

The yearly interest charged on this loan is the annual interest rate multiplied by the amount borrowed:

interest = annual interest rate x loan amount

i = ($ \frac{6}{100} $) x $1,300
i = 0.07 x $1,300
i = $91

	\({7 \over 5} \)
	\({a \over 5} \)
	\({2 \over 5} \)
	\(1 {2 \over 5} \)