PCAT Quantitative Reasoning 2

Question 1

A pharmacist needs to prepare 300 mL of a 0.9% NaCl solution. How many grams of NaCl are required?

Accepted Answer

2.7 g

Answer

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?

Accepted Answer

32

Answer

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?

Accepted Answer

60 mph

Answer

Speed = distance ÷ time = 150 ÷ 2.5 = 60 mph.

Question 4

What is the value of 4! + 3! − 2!?

Accepted Answer

28

Answer

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?

Accepted Answer

160 cm²

Answer

Length = (56/2) − 10 = 16 cm; area = 16 × 10 = 160 cm².

PCAT - Pharmacy College Admission Test Practice Test