Ohio Civil Service Logical and Mathematical Reasoning Questions and Answers — 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?
- $15,825 (Correct answer)
- $15,550
- $16,050
- $15,750
Correct answer: $15,825
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?
- David has not completed ethics training.
- Sarah has not completed ethics training.
- Sarah has completed ethics training. (Correct answer)
- All who complete ethics training are state employees.
Correct answer: Sarah has completed ethics training.
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?
- 70
- 74 (Correct answer)
- 63
- 84
Correct answer: 74
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?
- $1,800
- $1,350
- $900
- $1,200 (Correct answer)
Correct answer: $1,200
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?
- 35
- 40 (Correct answer)
- 50
- 45
Correct answer: 40
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.
Question 6: At a government service center, three employees are processing applications. Employee A can process an application in 20 minutes. Employee B can process one in 30 minutes. Employee C can process one in 60 minutes. If all three employees start working on different applications at the same time, how many complete applications will they have processed in total after two hours?
Correct answer: 11
First, calculate how many applications each employee can process in two hours (120 minutes).
Employee A: 120 minutes / 20 minutes/application = 6 applications.
Employee B: 120 minutes / 30 minutes/application = 4 applications.
Employee C: 120 minutes / 60 minutes/application = 2 applications.
Add the number of applications processed by each employee to find the total: 6 + 4 + 2 = 12 applications.
