ASVAB Arithmetic Reasoning Practice Test 868986 Results

Your Results Global Average
Questions 5 5
Correct 0 2.99
Score 0% 60%

Review

1

What is \( 3 \)\( \sqrt{63} \) - \( 8 \)\( \sqrt{7} \)

38% Answer Correctly
24\( \sqrt{9} \)
-5\( \sqrt{40} \)
-5\( \sqrt{441} \)
\( \sqrt{7} \)

Solution

To subtract these radicals together their radicands must be the same:

3\( \sqrt{63} \) - 8\( \sqrt{7} \)
3\( \sqrt{9 \times 7} \) - 8\( \sqrt{7} \)
3\( \sqrt{3^2 \times 7} \) - 8\( \sqrt{7} \)
(3)(3)\( \sqrt{7} \) - 8\( \sqrt{7} \)
9\( \sqrt{7} \) - 8\( \sqrt{7} \)

Now that the radicands are identical, you can subtract them:

9\( \sqrt{7} \) - 8\( \sqrt{7} \)
(9 - 8)\( \sqrt{7} \)
\( \sqrt{7} \)


2

A circular logo is enlarged to fit the lid of a jar. The new diameter is 75% larger than the original. By what percentage has the area of the logo increased?

50% Answer Correctly
37\(\frac{1}{2}\)%
20%
32\(\frac{1}{2}\)%
22\(\frac{1}{2}\)%

Solution

The area of a circle is given by the formula A = πr2 where r is the radius of the circle. The radius of a circle is its diameter divided by two so A = π(\( \frac{d}{2} \))2. If the diameter of the logo increases by 75% the radius (and, consequently, the total area) increases by \( \frac{75\text{%}}{2} \) = 37\(\frac{1}{2}\)%


3

A tiger in a zoo has consumed 104 pounds of food in 8 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 195 pounds?

56% Answer Correctly
15
3
13
7

Solution

If the tiger has consumed 104 pounds of food in 8 days that's \( \frac{104}{8} \) = 13 pounds of food per day. The tiger needs to consume 195 - 104 = 91 more pounds of food to reach 195 pounds total. At 13 pounds of food per day that's \( \frac{91}{13} \) = 7 more days.


4

The __________ is the greatest factor that divides two integers.

67% Answer Correctly

greatest common multiple

greatest common factor

absolute value

least common multiple


Solution

The greatest common factor (GCF) is the greatest factor that divides two integers.


5

If a car travels 200 miles in 4 hours, what is the average speed?

86% Answer Correctly
30 mph
50 mph
45 mph
55 mph

Solution

Average speed in miles per hour is the number of miles traveled divided by the number of hours:

speed = \( \frac{\text{distance}}{\text{time}} \)
speed = \( \frac{200mi}{4h} \)
50 mph