| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.67 |
| Score | 0% | 73% |
In a class of 30 students, 8 are taking German and 14 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
| 10 | |
| 20 | |
| 23 | |
| 22 |
The number of students taking German or Spanish is 8 + 14 = 22. Of that group of 22, 2 are taking both languages so they've been counted twice (once in the German group and once in the Spanish group). Subtracting them out leaves 22 - 2 = 20 who are taking at least one language. 30 - 20 = 10 students who are not taking either language.
What is the greatest common factor of 80 and 60?
| 20 | |
| 37 | |
| 31 | |
| 21 |
The factors of 80 are [1, 2, 4, 5, 8, 10, 16, 20, 40, 80] and the factors of 60 are [1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60]. They share 6 factors [1, 2, 4, 5, 10, 20] making 20 the greatest factor 80 and 60 have in common.
4! = ?
5 x 4 x 3 x 2 x 1 |
|
4 x 3 |
|
4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
A factorial has the form n! and is the product of the integer (n) and all the positive integers below it. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.
Find the average of the following numbers: 14, 6, 12, 8.
| 10 | |
| 14 | |
| 5 | |
| 15 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{14 + 6 + 12 + 8}{4} \) = \( \frac{40}{4} \) = 10
Which of these numbers is a factor of 64?
| 45 | |
| 32 | |
| 55 | |
| 4 |
The factors of a number are all positive integers that divide evenly into the number. The factors of 64 are 1, 2, 4, 8, 16, 32, 64.