Civil Service Numerical Reasoning Test Speed and Accuracy Calculations — Questions and Answers
Question 1: A data entry clerk processes 42 records per hour with a 97% accuracy rate. In a 7.5-hour working day, how many records are processed correctly?
- 305 (Correct answer)
- 315
- 296
- 308
Correct answer: 305
Total records = 42 x 7.5 = 315. Correct records = 315 x 0.97 = 305.55, which rounds to 305 (partial records are not counted as complete).
Question 2: Two teams are processing benefit claims. Team A processes 180 claims per day and Team B processes 220 claims per day. They start simultaneously on a backlog of 3,200 claims. How many working days will it take to clear the backlog?
- 7 days
- 8 days (Correct answer)
- 9 days
- 10 days
Correct answer: 8 days
Combined daily rate = 180 + 220 = 400 claims per day. Days needed = 3,200 / 400 = 8 days exactly.
Question 3: A caseworker resolves an average of 24 cases per week. If a new digital system increases productivity by 37.5%, how many cases will they resolve per week with the new system?
- 30
- 33 (Correct answer)
- 36
- 28
Correct answer: 33
Increase = 37.5% of 24 = 0.375 x 24 = 9. New rate = 24 + 9 = 33 cases per week.
Question 4: An office receives post at 9:00 AM. It takes 15 minutes to sort, then each of the 4 team members processes letters at 8 per hour. If 96 letters arrive, when will all letters be processed?
- 12:15 PM (Correct answer)
- 12:00 PM
- 12:30 PM
- 11:45 AM
Correct answer: 12:15 PM
Sorting finishes at 9:15 AM. Combined processing rate = 4 x 8 = 32 letters per hour. Time to process 96 letters = 96 / 32 = 3 hours. Completion = 9:15 AM + 3 hours = 12:15 PM.
Question 5: A quality check reveals that 18 out of 450 processed forms contain errors. What is the error rate, and how many errors would you expect in a batch of 2,000 forms at the same rate?
- 4% error rate; 80 errors (Correct answer)
- 3.5% error rate; 70 errors
- 5% error rate; 100 errors
- 4.5% error rate; 90 errors
Correct answer: 4% error rate; 80 errors
Error rate = (18 / 450) x 100 = 4%. Expected errors in 2,000 = 4% x 2,000 = 80 forms with errors.
Question 6: A scanning team digitises 150 pages per hour per scanner. Each page requires 0.4 minutes of quality review. With 2 scanners and 3 reviewers, what is the maximum system throughput per hour?
- 300 pages per hour (Correct answer)
- 450 pages per hour
- 150 pages per hour
- 375 pages per hour
Correct answer: 300 pages per hour
Scanning capacity: 2 x 150 = 300 pages/hour. Review capacity: each reviewer handles 60 / 0.4 = 150 pages/hour, so 3 reviewers = 450 pages/hour. The bottleneck is scanning at 300 pages/hour, so system throughput is limited to 300.
Civil Service Numerical Reasoning Test Speed and Accuracy Calculations
A data entry clerk processes 42 records per hour with a 97% accuracy rate.
In a 7.5-hour working day, how many records are processed correctly?