Free DMV Representative Basic Arithmetic Question and Answer — Questions and Answers
Question 1: What percentage of 500 is 65?
- 13 (Correct answer)
- 11
- 8
- 6
Correct answer: 13
Explanation: <br> To find out what percentage of 500 is 65, you can use the following formula: <br> <br> percentage = (part/whole) x 100 <br> In this case, the "part" is 65, and the "whole" is 500. So, the formula becomes:<br> percentage = (65/500) x 100 <br> Simplifying the equation:<br> percentage = 0.13 x 100 = 13% <br> Therefore, 65 is 13% of 500.
Question 2: The monthly wage for Jenny is $2,650.00. What would be her new monthly salary if she received a 5% pay raise?
- $3,001.50
- $2,900.00
- $2,785.00
- $2,782.50
Explanation: <br> To calculate Jenny's new monthly salary after a 5% pay raise, we can use the following formula: <br> <br> new salary = current salary + (percent increase x current salary) <br> First, we need to calculate 5% of Jenny's current salary: <br> 5% of $2,650.00 = 0.05 x $2,650.00 = $132.50 <br> Next, we can substitute the values into the formula: <br> new salary = $2,650.00 + ($132.50) = $2,782.50 <br> Therefore, Jenny's new monthly salary after a 5% pay raise would be $2,782.50.
Question 3: What percentage of the 148 reams of paper that a department bought are left after 43 of them are used? Round your percentage answer to the nearest whole.
- 75%
- 73%
- 72%
- 71% (Correct answer)
Correct answer: 71%
Explanation: <br> To find the percentage of paper reams left after 43 of them are used, we first need to subtract the number of reams used from the total number of reams bought:<br> <br> 148 - 43 = 105 <br> So there are 105 reams of paper left.<br> To find the percentage of reams left, we can use the following formula:<br> percentage = (part/whole) x 100 <br> In this case, the "part" is the number of reams left (105), and the "whole" is the number of reams bought (148). So, the formula becomes:<br> percentage = (105/148) x 100 = 70.95% <br> Rounding to the nearest whole number, we get: <br> percentage = 71% <br> <br> Therefore, approximately 71% of the reams of paper that the department bought are left after 43 of them are used.
Question 4: What is one-fourth of Jack's weekly income if two-thirds of it is $480?
- $280
- $240
- $180 (Correct answer)
- $165
Correct answer: $180
Explanation: <br> Let's start by setting up an equation to represent the information given in the problem:<br> <br> (2/3) * Jack's weekly income = $480 <br> To solve for Jack's weekly income, we can isolate the variable by dividing both sides of the equation by 2/3: <br> Jack's weekly income = $480 / (2/3) = $480 * (3/2) = $720 <br> Now that we know Jack's weekly income is $720, we can find one-fourth of it by multiplying by 1/4: <br> One-fourth of Jack's weekly income = $720 * (1/4) = $180 <br> Therefore, one-fourth of Jack's weekly income is $180.
Question 5: A tool room that was 9' x 15' was expanded to 11' x 20'. How much extra floor space was added, in square feet?
- 85 square feet (Correct answer)
- 80 square feet
- 75 square feet
- 70 square feet
Correct answer: 85 square feet
Explanation: <br> The original tool room had an area of: <br> <br> 9 feet x 15 feet = 135 square feet <br> The expanded tool room has an area of: <br> 11 feet x 20 feet = 220 square feet <br> To find out how much extra floor space was added, we can subtract the original area from the expanded area: <br> 220 square feet - 135 square feet = 85 square feet <br> <br> Therefore, 85 square feet of extra floor space was added to the tool room.
Question 6: A production line employed 305 workers in July. Thirty workers quit in August, while 11 new ones were hired. There were 23 new hires and 9 resignations in September. 17 new staff were employed in October. How many people were working there as of November 1st?
- 325
- 317 (Correct answer)
- 309
- 302
Correct answer: 317
Explanation: <br> Let's start with the number of workers at the end of July, which is given as 305.<br> In August, the number of workers changed by:<br> -30 (workers who quit) + 11 (new hires) = -19 <br> So at the end of August, there were 305 - 19 = 286 workers.<br> In September, the number of workers changed by:<br> 23 (new hires) - 9 (resignations) = 14 <br> So at the end of September, there were 286 + 14 = 300 workers.<br> In October, the number of workers changed by:<br> 17 (new hires) = 17 <br> So at the end of October, there were 300 + 17 = 317 workers. <br> <br> Therefore, as of November 1st, there were 317 workers employed on the production line.
Question 7: Each of the 18 workers at a social services agency is in charge of managing a 360-case caseload. The caseload of three departing employees is divided equally among the remaining staff members. How many cases are currently under the maintenance of each of the remaining employees?
- 472
- 468
- 432 (Correct answer)
- 405
Correct answer: 432
To solve this, first calculate the total cases from the three departing employees (3 workers * 360 cases/worker = 1080 cases). Next, determine the number of remaining staff members (18 - 3 = 15 employees). Finally, divide the departing employees' cases equally among the remaining staff (1080 cases / 15 employees = 72 cases per person) and add this to their original caseload (360 + 72 = 432 cases).
What percentage of 500 is 65?