Epic Skills Assessment Quantitative Reasoning & Math Questions and Answers — Questions and Answers
Question 1: A pharmacy technician is preparing a saline solution. The instructions state that for every 500 mL of distilled water, 4.5 grams of sodium chloride must be added. If the technician needs to prepare 2.4 Liters of the saline solution, how many grams of sodium chloride will they need?
- 18.0 g
- 21.6 g (Correct answer)
- 19.2 g
- 24.0 g
Correct answer: 21.6 g
First, convert the total volume needed to milliliters: 2.4 Liters * 1000 mL/Liter = 2400 mL. Next, determine the ratio of sodium chloride to water, which is 4.5 g per 500 mL. To find out how many 500 mL units are in 2400 mL, divide 2400 by 500, which equals 4.8. Finally, multiply this number by the amount of sodium chloride needed per unit: 4.8 * 4.5 g = 21.6 g.
Question 2: A hospital's data server processes an average of 1,200 patient data requests per hour. During peak hours (3 PM to 6 PM), the request volume increases by 35%. What is the total number of patient data requests the server processes between 3 PM and 6 PM?
- 4,860 (Correct answer)
- 3,600
- 1,620
- 5,400
Correct answer: 4,860
First, calculate the increased request volume per hour: 1200 * 0.35 = 420 extra requests. The total requests per hour during peak time is 1200 + 420 = 1620. The peak period lasts for 3 hours (from 3 PM to 6 PM). Therefore, the total number of requests during this period is 1620 requests/hour * 3 hours = 4,860 requests.
Question 3: A medical clinic schedules patient appointments in 15-minute intervals. A doctor works an 8-hour shift with a 45-minute unpaid lunch break. If 3 appointment slots are kept open for emergencies, what is the maximum number of regular patients the doctor can see in one shift?
- 32
- 29
- 26 (Correct answer)
- 30
Correct answer: 26
First, calculate the total working time in minutes: 8 hours * 60 minutes/hour = 480 minutes. Subtract the lunch break: 480 - 45 = 435 minutes. Next, find the total number of 15-minute slots available: 435 minutes / 15 minutes/slot = 29 slots. Finally, subtract the emergency slots to find the number of regular patient slots: 29 - 3 = 26.
Question 4: Which of the following fractions is the closest approximation to the decimal 0.58?
- 4/7
- 5/9
- 7/12 (Correct answer)
- 3/5
Correct answer: 7/12
To solve this, convert each fraction to a decimal: A) 4/7 ≈ 0.571, B) 5/9 ≈ 0.556, C) 7/12 ≈ 0.583, D) 3/5 = 0.600. Comparing these decimals to 0.58, the value 0.583 (7/12) is the closest.
Question 5: The sequence of numbers in a clinical trial's patient ID codes follows a specific pattern: 18, 27, 22, 31, 26, 35, ... What is the next number in this sequence?
- 30 (Correct answer)
- 44
- 29
- 40
Correct answer: 30
This sequence follows a two-step pattern: add 9, then subtract 5. 18 + 9 = 27. 27 - 5 = 22. 22 + 9 = 31. 31 - 5 = 26. 26 + 9 = 35. The next step is to subtract 5: 35 - 5 = 30.
Question 6: A software update takes 2 hours and 30 minutes to deploy on 5 servers. If a team of technicians needs to update 18 servers and they start at 9:00 AM, at what time will they finish?
- 5:00 PM
- 6:00 PM (Correct answer)
- 5:30 PM
- 6:30 PM
Correct answer: 6:00 PM
First, find the time it takes to update one server. 2 hours 30 minutes is 150 minutes. So, 150 minutes / 5 servers = 30 minutes per server. Next, calculate the total time needed for 18 servers: 18 servers * 30 minutes/server = 540 minutes. Convert this back to hours: 540 minutes / 60 minutes/hour = 9 hours. Finally, add 9 hours to the start time of 9:00 AM, which results in a finish time of 6:00 PM.
Epic Skills Assessment Quantitative Reasoning & Math Questions and Answers
A pharmacy technician is preparing a saline solution.
The instructions state that for every 500 mL of distilled water, 4.5 grams of sodium chloride must be added.
If the technician needs to prepare 2.4 Liters of the saline solution, how many grams of sodium chloride will they need?