PCAT Quantitative Reasoning 2 — Questions and Answers
Question 1: A pharmacist needs to prepare 300 mL of a 0.9% NaCl solution. How many grams of NaCl are required?
- 0.27 g
- 2.7 g (Correct answer)
- 27 g
- 270 g
Correct answer: 2.7 g
0.9% w/v means 0.9 g per 100 mL, so 0.9 × 3 = 2.7 g for 300 mL.
Question 2: If log₂(x) = 5, what is the value of x?
- 10
- 25
- 32 (Correct answer)
- 64
Correct answer: 32
log₂(x) = 5 means x = 2⁵ = 32.
Question 3: A car travels 150 miles in 2.5 hours. What is its average speed in miles per hour?
- 50 mph
- 55 mph
- 60 mph (Correct answer)
- 65 mph
Correct answer: 60 mph
Speed = distance ÷ time = 150 ÷ 2.5 = 60 mph.
Question 4: What is the value of 4! + 3! − 2!?
- 26
- 28 (Correct answer)
- 30
- 32
Correct answer: 28
4! = 24, 3! = 6, 2! = 2, so 24 + 6 − 2 = 28.
Question 5: A rectangle has a perimeter of 56 cm and a width of 10 cm. What is its area?
- 160 cm² (Correct answer)
- 180 cm²
- 200 cm²
- 220 cm²
Correct answer: 160 cm²
Length = (56/2) − 10 = 16 cm; area = 16 × 10 = 160 cm².
Question 6: If a solution is diluted from 500 mL at 40% to a new volume with a final concentration of 10%, what is the new volume?
- 1,000 mL
- 1,500 mL
- 2,000 mL (Correct answer)
- 2,500 mL
Correct answer: 2,000 mL
C₁V₁ = C₂V₂ → 40 × 500 = 10 × V₂ → V₂ = 2,000 mL.
Question 7: The sum of two consecutive even integers is 86. What is the larger integer?
- 40
- 42
- 44 (Correct answer)
- 46
Correct answer: 44
Let the integers be n and n+2; n + (n+2) = 86 → n = 42, so the larger is 44.
PCAT Quantitative Reasoning 2
A pharmacist needs to prepare 300 mL of a 0.9% NaCl solution.
How many grams of NaCl are required?