ASVAB Arithmetic Reasoning Practice Test 472009 Results

Your Results Global Average
Questions 5 5
Correct 0 3.47
Score 0% 69%

Review

1

What is the least common multiple of 2 and 6?

72% Answer Correctly
6
9
12
4

Solution

The first few multiples of 2 are [2, 4, 6, 8, 10, 12, 14, 16, 18, 20] and the first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60]. The first few multiples they share are [6, 12, 18, 24, 30] making 6 the smallest multiple 2 and 6 have in common.


2

Which of these numbers is a factor of 56?

68% Answer Correctly
39
5
7
3

Solution

The factors of a number are all positive integers that divide evenly into the number. The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56.


3

If \(\left|a\right| = 7\), which of the following best describes a?

67% Answer Correctly

a = 7

a = 7 or a = -7

a = -7

none of these is correct


Solution

The absolute value is the positive magnitude of a particular number or variable and is indicated by two vertical lines: \(\left|-5\right| = 5\). In the case of a variable absolute value (\(\left|a\right| = 5\)) the value of a can be either positive or negative (a = -5 or a = 5).


4

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 35% off." If Roger buys two shirts, each with a regular price of $33, how much money will he save?

70% Answer Correctly
$11.55
$6.60
$9.90
$1.65

Solution

By buying two shirts, Roger will save $33 x \( \frac{35}{100} \) = \( \frac{$33 x 35}{100} \) = \( \frac{$1155}{100} \) = $11.55 on the second shirt.


5

Which of the following is an improper fraction?

70% Answer Correctly

\({7 \over 5} \)

\({a \over 5} \)

\(1 {2 \over 5} \)

\({2 \over 5} \)


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.