Quantitative Methods & Techniques
A manufacturing process involves a fixed cost of $1,750 and a variable cost of $1.50 per item produced. What is the total cost of producing 800 items?
$2,950
A conference is to be conducted at a particular venue for 4 days. If the daily rent for the location amounts to $500, what is the total rental cost?
$2000
At the local discount warehouse, a set of 2 tires costs $344.25. What proportion can be used to obtain the price of 8 such tires?
$344.25/2 = x/8
Sam's base salary last month was $3,200 per month. Additionally, he earned a performance incentive of $750 and a travel allowance of $450. If his monthly contribution to income tax amounts to $550, what is his effective take-home salary last month?
$3850
A start-up reported quarterly net income in the amounts of $23,500, -$12,500, -$20,200, and -$8,200. What was the total reported net income for the year?
-$17,400
A retailer bought an item for $10 and resold it at $15. What percent increase does this markup represent
0.5
A retailer bought an item for $24 and resold it at $36. What percent increase does this markup represent?
0.5
A sample of 500 units from a production run were tested and 4 units were found to be defective. What is the defect ratio expressed as a percentage?
0.8
What is the reduced ratio of 12 inches to 5 feet?
1 inch to 5 inches
What is 1/2 % of 2,000 unique visitors to a website?
10 unique visitors
A textile manufacturer maintains a ratio of inventory to total production at 9:13. If the inventory is I units and the total production is P units, which equation should be used to calculate I for a given P?
13I:9P
A 1,920-pixel wide image has a 1,080-pixel height. What is the reduced width to height ratio?
16:9
A large carton can hold 20 pounds of weight, of which there are 8 small items that weigh 1 pound each and 6 large items that weigh 2 pounds each. If 2 more larger items have to be accommodated, what would be the new ratio of smaller to larger items?
1:2
Given the board below with sections of different colors, if you toss a coin onto this board randomly, what is the probability that it will land on red?
3/8
A 1,920-pixel wide image measures 6.4 inches. Determine the number of pixels per inch (ppi) of width.
300 ppi
11 out of 13 small-scale industries in a particular region preferred a reduction in the tax rate on sales. If 390 such industries participated in the survey, how many industries are interested in a lower sales tax rate?
330
A sample of 750 units from a production run were tested and 30 units were found to be defective. What is the defect ratio expressed as a percentage?
4
Google AdSense asserts that wide advertisements tend to perform better than taller ones. In particular, ads with a width to height ratio of 3:2 perform well. If your particular ad requires 720 pixels of width to display the text, what should the height be set at in order to gain the performance advantage?
480 pixels
A quarry has an inventory of 28 tons of granite aggregate. After delivering 8 tons of aggregate to a large road construction site, the rest is to be divided equally between 4 other job sites. How many tons will each job site receive?
5 tons
For each day last week, a sales associate took orders of 42, 76, 38, 65, and 49 cases of product, respectively. What is the average number of cases ordered per day of last week?
54
Ian and Mark are salesmen earning the same base salary. Each of them earns a bonus of $100 for each sale. What is their base salary, if the ratio of their total salaries is 5/7 after Ian sells 2 items and Mark sells 5 items?
550.00
A textile manufacturer maintains a ratio of inventory to total production at 5:7. If the inventory is I units and the total production is P units, which equation should be used to calculate P for a given I?
5P=7I
A sales team is able to convert 75% of all sales leads generated by their website to actual sales. Their website generates 23 sales leads for every 1,250 unique visitors. How many actual sales would you expect if their website was able to generate 5,000 unique visitors?
69
At a recycling center, a truck weighed 5,642 pounds (lbs) before unloading. After unloading, the truck weighed 4,925 lbs. What was the weight of the load?
717 lbs
A company's stock price and earnings per share are $23.65 and $2.89, respectively. What is the company's stock price-to-earnings ratio? Round to the nearest hundredth.
8.18
A cellular phone company offered a plan costing $73.50 for 3 months of service. The company then discontinued that plan and raised the rate to $26.75 per month. What was the increase expressed as a percentage?
9.18
What is the total cost of a $124.99 item after a 6.4% sales tax is included?
$132.99
A particular stock started the week at a price of $23 and lost $2 for three consecutive days and then rallied and gained $1 a day for the next two days. At what price did the stock end the week?
$19
In a survey of 240 people, 156 people said they supported the governor. What percentage supported the governor and what percentage did not?
Support: 65%; Do not support: 35%
A webmaster runs two websites and keeps track of earnings and unique visitors. The healthcare related site earns $14 per 560 unique visitors and the automotive related website earns $14 per 350 unique visitors. Which is the more valuable site?
The automotive related site
A dealership in Washington, D.C. sold 50 red cars out of 250, whereas a dealership in California sold 39 red cars out of 150 total. Which dealership sells a higher percentage of red cars?
California
