ASVAB Arithmetic Reasoning Practice Test 977501 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

Which of the following is an improper fraction?

70% Answer Correctly

\({a \over 5} \)

\(1 {2 \over 5} \)

\({2 \over 5} \)

\({7 \over 5} \)


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.


2

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

56% Answer Correctly

absolute value

least common multiple

greatest common factor

least common factor


Solution

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


3

Bob loaned Latoya $200 at an annual interest rate of 5%. If no payments are made, what is the total amount owed at the end of the first year?

71% Answer Correctly
$214
$210
$204
$212

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 $200
i = 0.05 x $200

No payments were made so the total amount due is the original amount + the accumulated interest:

total = $200 + $10
total = $210


4

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 (be) 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).


5

What is the least common multiple of 8 and 16?

72% Answer Correctly
22
24
16
99

Solution

The first few multiples of 8 are [8, 16, 24, 32, 40, 48, 56, 64, 72, 80] and the first few multiples of 16 are [16, 32, 48, 64, 80, 96]. The first few multiples they share are [16, 32, 48, 64, 80] making 16 the smallest multiple 8 and 16 have in common.