Ohio Civil Service Logical and Mathematical Reasoning Questions and Answers

Question 1

An office purchased new equipment for a total of $15,000. If the sales tax rate is 5.5%, what is the total cost of the equipment including tax?

Accepted Answer

$15,825

Answer

To find the total cost, first calculate the sales tax amount by converting the percentage to a decimal (5.5% = 0.055) and multiplying it by the initial cost ($15,000 * 0.055 = $825). Then, add the sales tax amount to the original price ($15,000 + $825 = $15,825).

Question 2

Consider the following statements:
1. All state employees must complete ethics training.
2. Sarah is a state employee.
3. David is not a state employee.

Based on these statements, which of the following conclusions is logically certain?

Accepted Answer

Sarah has completed ethics training.

Answer

The first statement establishes a rule for all state employees. The second statement identifies Sarah as a member of that group. Therefore, the rule must apply to her, making it logically certain that she has completed the training. We don't have enough information to conclude anything about David's training status, and the statements do not imply that ONLY state employees complete the training.

Question 3

Look at this series: 3, 7, 16, 35, ... What number should come next?

Accepted Answer

74

Answer

The pattern is to multiply the previous number by 2 and then add an increasing integer starting with 1. 
(3 * 2) + 1 = 7
(7 * 2) + 2 = 16
(16 * 2) + 3 = 35
Therefore, the next number is (35 * 2) + 4 = 74.

Question 4

A department has a budget of $5,400 to spend on supplies. If 1/3 of the budget is spent on paper, 1/4 is spent on ink cartridges, and 1/6 is spent on folders, how much money is left in the budget?

Accepted Answer

$1,200

Answer

First, find a common denominator for the fractions, which is 12. The fractions of the budget spent are 4/12 (paper), 3/12 (ink), and 2/12 (folders). The total fraction spent is 4/12 + 3/12 + 2/12 = 9/12, which simplifies to 3/4. The remaining fraction is 1 - 3/4 = 1/4. To find the remaining amount, calculate 1/4 of the total budget: $5,400 * (1/4) = $1,350. An alternative is to calculate the cost of each item: Paper = $5400/3 = $1800; Ink = $5400/4 = $1350; Folders = $5400/6 = $900. Total spent = $1800 + $1350 + $900 = $4050. Remaining = $5400 - $4050 = $1350.

Question 5

An employee can file 40 documents in an 8-hour workday. A temporary worker can file 30 documents in a 6-hour workday. If they work together, how many documents can they file in a 4-hour period?

Accepted Answer

40

Answer

First, determine the filing rate per hour for each person. The employee's rate is 40 documents / 8 hours = 5 documents per hour. The temporary worker's rate is 30 documents / 6 hours = 5 documents per hour. Their combined rate is 5 + 5 = 10 documents per hour. To find the total documents filed in 4 hours, multiply their combined rate by the time: 10 documents/hour * 4 hours = 40 documents.

Ohio Civil Service Exam Practice Test

Ohio Civil Service Exam Practice Test

Ohio Civil Service Logical and Mathematical Reasoning Questions and Answers