HPAT Numerical Reasoning and Data Analysis 1 — Questions and Answers
Question 1: A hospital treats 240 patients per week. If 35% are emergency cases, how many are non-emergency patients treated per week?
- 84
- 156 (Correct answer)
- 140
- 180
Correct answer: 156
65% are non-emergency (100% − 35%), and 240 × 0.65 = 156 patients.
Question 2: A clinical study reports a mean recovery time of 8 days with a standard deviation of 2 days. What is the coefficient of variation (CV)?
- 16%
- 25% (Correct answer)
- 4%
- 40%
Correct answer: 25%
CV = (standard deviation ÷ mean) × 100 = (2 ÷ 8) × 100 = 25%.
Question 3: A pie chart shows hospital bed distribution: Surgery 30%, Cardiology 25%, Oncology 20%, Pediatrics 15%, Other 10%. If the hospital has 400 beds, how many are in Cardiology?
- 80
- 100 (Correct answer)
- 120
- 60
Correct answer: 100
25% of 400 beds = 400 × 0.25 = 100 beds in Cardiology.
Question 4: A patient's white blood cell count (×10³/μL) over 4 weeks: Week 1: 4.5, Week 2: 6.2, Week 3: 5.8, Week 4: 7.5. What is the mean count over this period?
- 5.5
- 6.0 (Correct answer)
- 5.8
- 6.5
Correct answer: 6.0
Mean = (4.5 + 6.2 + 5.8 + 7.5) ÷ 4 = 24.0 ÷ 4 = 6.0 ×10³/μL.
Question 5: A medication causes a side effect in 3 out of every 25 patients. In a group of 300 patients, how many would be expected to experience this side effect?
- 24
- 36 (Correct answer)
- 48
- 12
Correct answer: 36
(3 ÷ 25) × 300 = 0.12 × 300 = 36 patients expected to experience the side effect.
Question 6: Hospital admissions increased from 800 per month to 1,100 per month over one year. What is the percentage increase in admissions?
- 25.0%
- 37.5% (Correct answer)
- 32.5%
- 43.5%
Correct answer: 37.5%
Percentage increase = (1100 − 800) ÷ 800 × 100 = 300 ÷ 800 × 100 = 37.5%.
Question 7: A medication dosage is 0.05 mg per kg of body weight. What is the correct dose for a patient weighing 72 kg?
- 3.2 mg
- 3.6 mg (Correct answer)
- 4.0 mg
- 2.8 mg
Correct answer: 3.6 mg
Dose = 0.05 × 72 = 3.6 mg for a 72 kg patient.
HPAT Numerical Reasoning and Data Analysis 1
A hospital treats 240 patients per week.
If 35% are emergency cases, how many are non-emergency patients treated per week?