Ohio Civil Service Mathematical Reasoning Questions and Answers

Question 1

A state agency is purchasing new office chairs listed at a total price of $450.00. The supplier offers a 15% discount, but a 7% sales tax is applied to the discounted price. What is the final cost to the agency?

Accepted Answer

$409.28

Answer

First, calculate the discount: $450.00 * 0.15 = $67.50. Subtract the discount from the original price: $450.00 - $67.50 = $382.50. This is the taxable amount. Next, calculate the sales tax on the discounted price: $382.50 * 0.07 = $26.775, which rounds to $26.78. Finally, add the tax to the discounted price: $382.50 + $26.78 = $409.28.

Question 2

An employee at the Bureau of Motor Vehicles can process 75 license renewals per hour. If they work at a consistent pace, how many renewals can they complete in 40 minutes?

Accepted Answer

50

Answer

First, determine the employee's rate per minute by dividing the hourly rate by 60 minutes: 75 renewals / 60 minutes = 1.25 renewals per minute. Then, multiply this rate by the number of minutes worked: 1.25 * 40 minutes = 50 renewals. Alternatively, recognize that 40 minutes is 2/3 of an hour. Calculate 2/3 of 75: (2/3) * 75 = 50.

Question 3

A city's annual budget of $120,000 is to be allocated among the Parks, Streets, and Safety departments in a ratio of 3:5:4, respectively. How much money is allocated to the Streets department?

Accepted Answer

$50,000

Answer

First, find the total number of parts in the ratio: 3 + 5 + 4 = 12 parts. Next, divide the total budget by the total number of parts to find the value of one part: $120,000 / 12 = $10,000 per part. The Streets department is allocated 5 parts, so multiply the value of one part by 5: $10,000 * 5 = $50,000.

Question 4

Which of the following numbers should come next in the series: 5, 8, 14, 26, 50, ___?

Accepted Answer

98

Answer

The pattern is based on adding a number that doubles with each step. The difference between 8 and 5 is 3. The difference between 14 and 8 is 6 (3*2). The difference between 26 and 14 is 12 (6*2). The difference between 50 and 26 is 24 (12*2). The next difference should be 24 * 2 = 48. Therefore, the next number in the series is 50 + 48 = 98.

Question 5

A county office tracked the number of permits it issued over a four-month period: January (1,250), February (1,100), March (1,400), and April (1,350). What was the average number of permits issued per month during this time?

Accepted Answer

1,275

Answer

To find the average, first sum the total number of permits issued: 1,250 + 1,100 + 1,400 + 1,350 = 5,100. Then, divide the total by the number of months (4): 5,100 / 4 = 1,275. The average number of permits issued per month is 1,275.

Ohio Civil Service Exam Practice Test

Ohio Civil Service Exam Practice Test

Ohio Civil Service Mathematical Reasoning Questions and Answers