| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.63 |
| Score | 0% | 73% |
4! = ?
4 x 3 |
|
5 x 4 x 3 x 2 x 1 |
|
3 x 2 x 1 |
|
4 x 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.
If a mayor is elected with 76% of the votes cast and 69% of a town's 14,000 voters cast a vote, how many votes did the mayor receive?
| 7,245 | |
| 6,376 | |
| 7,342 | |
| 5,893 |
If 69% of the town's 14,000 voters cast ballots the number of votes cast is:
(\( \frac{69}{100} \)) x 14,000 = \( \frac{966,000}{100} \) = 9,660
The mayor got 76% of the votes cast which is:
(\( \frac{76}{100} \)) x 9,660 = \( \frac{734,160}{100} \) = 7,342 votes.
What is the least common multiple of 6 and 14?
| 36 | |
| 42 | |
| 23 | |
| 64 |
The first few multiples of 6 are [6, 12, 18, 24, 30, 36, 42, 48, 54, 60] and the first few multiples of 14 are [14, 28, 42, 56, 70, 84, 98]. The first few multiples they share are [42, 84] making 42 the smallest multiple 6 and 14 have in common.
A menswear store is having a sale: "Buy one shirt at full price and get another shirt for 10% off." If Alex buys two shirts, each with a regular price of $42, how much money will he save?
| $4.20 | |
| $10.50 | |
| $14.70 | |
| $8.40 |
By buying two shirts, Alex will save $42 x \( \frac{10}{100} \) = \( \frac{$42 x 10}{100} \) = \( \frac{$420}{100} \) = $4.20 on the second shirt.
How many hours does it take a car to travel 330 miles at an average speed of 55 miles per hour?
| 6 hours | |
| 3 hours | |
| 1 hour | |
| 7 hours |
Average speed in miles per hour is the number of miles traveled divided by the number of hours:
speed = \( \frac{\text{distance}}{\text{time}} \)Solving for time:
time = \( \frac{\text{distance}}{\text{speed}} \)
time = \( \frac{330mi}{55mph} \)
6 hours