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Preparing for the Pharmacy Technician Certification Board (PTCB) exam requires practice with a variety of question types, including ratio and proportion calculations. These questions assess your ability to solve real-world pharmacy problems efficiently. This article provides practice questions along with detailed solutions to help you master these concepts.
Understanding Ratios and Proportions
A ratio compares two quantities, showing how many times one value contains or is contained within the other. A proportion states that two ratios are equal. Mastering these concepts is essential for solving pharmacy-related calculations involving dilutions, medication dosages, and inventory management.
Practice Questions with Solutions
Question 1
If a solution contains 5 grams of a drug in 250 mL of solution, what is the ratio of drug to solution? Express your answer as a simplified ratio.
Solution:
Ratio of drug to solution = 5 g / 250 mL = 1 / 50
Answer: 1:50
Question 2
A pharmacy needs to prepare 100 mL of a 1:10 dilution. How much stock solution and diluent are required?
Solution:
In a 1:10 dilution, 1 part is the stock solution, and 9 parts are diluent.
Amount of stock solution = (1/10) × 100 mL = 10 mL
Amount of diluent = 100 mL – 10 mL = 90 mL
Answer: 10 mL of stock solution and 90 mL of diluent.
Question 3
If 3 parts of a medication are mixed with 7 parts of diluent, what is the concentration of the medication as a percentage?
Solution:
Total parts = 3 + 7 = 10
Concentration of medication = (3 / 10) × 100% = 30%
Additional Tips for Success
- Practice converting between ratios, fractions, and percentages.
- Always simplify ratios to their lowest terms.
- Double-check your calculations for accuracy.
- Familiarize yourself with common dilution formulas.
Consistent practice with these types of questions will improve your confidence and performance on the PTCB exam. Use these examples as a guide to develop your problem-solving skills and ensure you’re prepared for the test day.