Percentage solution calculations MCQs With Answer

Introduction: Percentage solution calculations MCQs With Answer help B. Pharm students master core pharmacy math used in compounding, dispensing, and quality control. This topic covers % w/v (grams per 100 mL), % w/w (grams per 100 g), % v/v (mL per 100 mL), dilution using C1V1 = C2V2, alligation, conversions to mg/mL, ratio strength (e.g., 1:1000), and ppm. You will practice preparing solutions from solids and liquids, adjusting strengths, accounting for density in w/w ↔ w/v conversions, and checking label claims. These skills ensure accurate dosing, safe extemporaneous preparations, and regulatory-compliant labeling in community and hospital pharmacy practice. Now let’s test your knowledge with 30 MCQs on this topic.

Q1. Which statement best defines % w/v in pharmacy calculations?

• Grams of solute per 100 mL of solution
• Grams of solute per 100 g of solution
• Milliliters of solute per 100 mL of solvent
• Grams of solute per liter of solvent

Correct Answer: Grams of solute per 100 mL of solution

Q2. How many grams of NaCl are needed to prepare 250 mL of a 4% w/v solution?

• 4 g
• 8 g
• 10 g
• 12.5 g

Correct Answer: 10 g

Q3. What volume of a 70% v/v isopropyl alcohol stock is required to prepare 500 mL of 10% v/v solution?

• 50.0 mL
• 71.4 mL
• 100.0 mL
• 142.9 mL

Correct Answer: 71.4 mL

Q4. A 2% w/w ointment is to be prepared with a total weight of 60 g. How much drug is required?

• 0.12 g
• 1.2 g
• 2.0 g
• 12.0 g

Correct Answer: 1.2 g

Q5. Convert 5 mg/mL to percentage strength (% w/v).

• 0.05% w/v
• 0.5% w/v
• 5% w/v
• 50% w/v

Correct Answer: 0.5% w/v

Q6. How much water should be added to 200 mL of a 20% w/v solution to obtain a 5% w/v solution?

• 200 mL
• 400 mL
• 600 mL
• 800 mL

Correct Answer: 600 mL

Q7. A solution is 15% w/w with density 1.10 g/mL. What is its approximate % w/v?

• 13.6% w/v
• 15.0% w/v
• 16.5% w/v
• 18.0% w/v

Correct Answer: 16.5% w/v

Q8. A ratio strength of 1:500 (w/v) is equivalent to what percentage strength?

• 0.02% w/v
• 0.2% w/v
• 2% w/v
• 5% w/v

Correct Answer: 0.2% w/v

Q9. What is the ppm equivalent of 0.01% w/v (assuming aqueous solution)?

• 10 ppm
• 50 ppm
• 100 ppm
• 1000 ppm

Correct Answer: 100 ppm

Q10. Using alligation, what is the mixing ratio (95% v/v ethanol : water) to make 70% v/v ethanol?

• 14:5
• 5:14
• 25:70
• 70:25

Correct Answer: 14:5

Q11. How many grams of solute are present in 750 mL of an 8% w/v solution?

• 6 g
• 30 g
• 60 g
• 80 g

Correct Answer: 60 g

Q12. What volume of a 30% w/v stock solution is needed to prepare 1 L of a 3% w/v solution?

• 30 mL
• 90 mL
• 100 mL
• 300 mL

Correct Answer: 100 mL

Q13. For ointments and creams, which expression of strength is most appropriate?

• % w/v
• % v/v
• % w/w
• Ratio strength (w/v)

Correct Answer: % w/w

Q14. How many grams of base must be added to 100 g of a 12% w/w cream to make it 8% w/w (no drug loss)?

• 12.5 g
• 25 g
• 37.5 g
• 50 g

Correct Answer: 50 g

Q15. What volume of a 5% w/v NaCl solution is required to prepare 250 mL of 0.9% w/v NaCl?

• 22.5 mL
• 45 mL
• 90 mL
• 135 mL

Correct Answer: 45 mL

Q16. Mixing 300 mL of 20% w/v with 700 mL of 5% w/v yields what final % w/v?

• 7.5% w/v
• 9.5% w/v
• 10.0% w/v
• 12.5% w/v

Correct Answer: 9.5% w/v

Q17. If 30 mL of glycerin is diluted to 150 mL, what is the % v/v?

• 10% v/v
• 15% v/v
• 20% v/v
• 25% v/v

Correct Answer: 20% v/v

Q18. What is the concentration in mg/mL of a 2% w/v solution?

• 2 mg/mL
• 10 mg/mL
• 20 mg/mL
• 200 mg/mL

Correct Answer: 20 mg/mL

Q19. A solution is 2% w/v with density 1.05 g/mL. What is the approximate % w/w?

• 1.90% w/w
• 2.00% w/w
• 2.10% w/w
• 2.50% w/w

Correct Answer: 1.90% w/w

Q20. What volume of 95% v/v alcohol is needed to prepare 1 L of 70% v/v alcohol (assume volumes are additive)?

• 526.3 mL
• 666.7 mL
• 736.8 mL
• 850.0 mL

Correct Answer: 736.8 mL

Q21. A 10% w/v solution corresponds to 1 g of solute per 10 mL of solution.

• True
• False
• Only true for % v/v
• Only true for % w/w

Correct Answer: True

Q22. How many milliliters of a 2% w/v stock are needed to prepare 50 mL of a 0.1% w/v solution?

• 1.0 mL
• 2.5 mL
• 5.0 mL
• 10.0 mL

Correct Answer: 2.5 mL

Q23. A syrup labeled 65% w/w sucrose has density 1.32 g/mL. How many grams of sucrose are in 200 mL of syrup?

• 130.0 g
• 150.0 g
• 171.6 g
• 200.0 g

Correct Answer: 171.6 g

Q24. Which statement correctly describes % v/v?

• Milliliters of solute per 100 mL of solution (final volume)
• Milliliters of solute per 100 mL of solvent
• Grams of solute per 100 mL of solution
• Used only for gases, not liquids

Correct Answer: Milliliters of solute per 100 mL of solution (final volume)

Q25. Equal volumes of 5% w/v and 25% w/v solutions are mixed. What is the final % w/v?

• 10% w/v
• 12.5% w/v
• 15% w/v
• 20% w/v

Correct Answer: 15% w/v

Q26. What is the % w/w of an ointment prepared by triturating 0.5 g of drug with base to a total of 25 g?

• 0.5% w/w
• 1% w/w
• 2% w/w
• 5% w/w

Correct Answer: 2% w/w

Q27. How many grams of solute are needed to prepare 800 mL of a 0.05% w/v solution?

• 0.04 g
• 0.4 g
• 4 g
• 40 g

Correct Answer: 0.4 g

Q28. A reconstituted suspension labeled 125 mg/5 mL corresponds to what percentage strength (% w/v)?

• 0.25% w/v
• 1.25% w/v
• 2.5% w/v
• 5.0% w/v

Correct Answer: 2.5% w/v

Q29. A solution labeled 1:1000 (w/v) epinephrine is equivalent to which of the following?

• 0.1% w/v (1 mg/mL)
• 0.01% w/v (0.1 mg/mL)
• 1% w/v (10 mg/mL)
• 0.5% w/v (5 mg/mL)

Correct Answer: 0.1% w/v (1 mg/mL)

Q30. How many milliliters of a 10% w/v solution contain 3 g of solute?

• 3 mL
• 10 mL
• 30 mL
• 300 mL

Correct Answer: 30 mL

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