UCAT Quantitative Reasoning 1 — Questions and Answers
Question 1: A patient is prescribed 0.5 mg of a drug per kg of body weight. If the patient weighs 80 kg, what is the total dose required?
- 35 mg
- 40 mg (Correct answer)
- 45 mg
- 50 mg
Correct answer: 40 mg
Multiplying 0.5 mg/kg by 80 kg gives a total dose of 40 mg.
Question 2: A clinic sees 240 patients in a 6-day work week. If the number of patients seen each day increases by 10%, how many patients will be seen per day after the increase?
- 40
- 44 (Correct answer)
- 46
- 48
Correct answer: 44
The original daily rate is 240/6 = 40 patients, and 10% of 40 is 4, so the new daily rate is 44.
Question 3: A solution contains 250 mL of saline at a concentration of 0.9%. How many grams of salt are in the solution?
- 1.8 g
- 2.0 g
- 2.25 g (Correct answer)
- 2.5 g
Correct answer: 2.25 g
0.9% of 250 mL = 0.009 × 250 = 2.25 g of salt.
Question 4: A hospital pharmacy fills 15 prescriptions per hour. At this rate, how many prescriptions will be filled in a 7.5-hour shift?
- 100
- 105
- 112.5 (Correct answer)
- 120
Correct answer: 112.5
15 prescriptions/hour × 7.5 hours = 112.5 prescriptions.
Question 5: A clinical trial has 3 phases. Phase 1 has 20 participants, Phase 2 has 5 times as many, and Phase 3 has twice as many as Phase 2. What is the total number of participants?
- 220
- 240
- 260 (Correct answer)
- 320
Correct answer: 260
Phase 1 = 20, Phase 2 = 100, Phase 3 = 200; total = 20 + 100 + 200 = 320.
Question 6: If a doctor earns $180,000 per year and saves 15% of their income, how much do they save per month?
- $2,000
- $2,250 (Correct answer)
- $2,500
- $2,700
Correct answer: $2,250
15% of $180,000 = $27,000 per year; dividing by 12 gives $2,250 per month.
UCAT Quantitative Reasoning 1
A patient is prescribed 0.5 mg of a drug per kg of body weight.
If the patient weighs 80 kg, what is the total dose required?