ASVAB Arithmetic Reasoning Practice Test 841661 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

If \( \left|b + 1\right| \) - 7 = 8, which of these is a possible value for b?

62% Answer Correctly
15
-15
11
-16

Solution

First, solve for \( \left|b + 1\right| \):

\( \left|b + 1\right| \) - 7 = 8
\( \left|b + 1\right| \) = 8 + 7
\( \left|b + 1\right| \) = 15

The value inside the absolute value brackets can be either positive or negative so (b + 1) must equal + 15 or -15 for \( \left|b + 1\right| \) to equal 15:

b + 1 = 15
b = 15 - 1
b = 14
b + 1 = -15
b = -15 - 1
b = -16

So, b = -16 or b = 14.


2

7 members of a bridal party need transported to a wedding reception but there are only 2 3-passenger taxis available to take them. How many will need to find other transportation?

75% Answer Correctly
1
9
6
5

Solution

There are 2 3-passenger taxis available so that's 2 x 3 = 6 total seats. There are 7 people needing transportation leaving 7 - 6 = 1 who will have to find other transportation.


3

Which of the following is not a prime number?

65% Answer Correctly

5

9

2

7


Solution

A prime number is an integer greater than 1 that has no factors other than 1 and itself. Examples of prime numbers include 2, 3, 5, 7, and 11.


4

Which of the following is a mixed number?

83% Answer Correctly

\({5 \over 7} \)

\({a \over 5} \)

\({7 \over 5} \)

\(1 {2 \over 5} \)


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.


5

A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 15% off." If Alex buys two shirts, each with a regular price of $33, how much money will he save?

70% Answer Correctly
$8.25
$4.95
$11.55
$3.30

Solution

By buying two shirts, Alex will save $33 x \( \frac{15}{100} \) = \( \frac{$33 x 15}{100} \) = \( \frac{$495}{100} \) = $4.95 on the second shirt.