PCAT Quantitative Reasoning 5

Question 1

A drug has a half-life of 6 hours. What fraction of the original dose remains after 24 hours?

Accepted Answer

1/16

Answer

24 hours = 4 half-lives; (1/2)⁴ = 1/16 of the dose remains.

Question 2

Solve for y: 3y/4 − 5 = 7

Accepted Answer

16

Answer

3y/4 = 12 → 3y = 48 → y = 16.

Question 3

If f(x) = 3x² − 2x + 1, what is f(−2)?

Accepted Answer

17

Answer

f(−2) = 3(4) − 2(−2) + 1 = 12 + 4 + 1 = 17.

Question 4

Two pipes can fill a tank in 4 and 6 hours respectively. How long will it take to fill the tank together?

Accepted Answer

2.4 hours

Answer

Combined rate = 1/4 + 1/6 = 5/12 tanks/hr; time = 12/5 = 2.4 hours.

Question 5

What is the slope of the line passing through (2, −3) and (8, 9)?

Accepted Answer

2

Answer

Slope = (9 − (−3)) / (8 − 2) = 12/6 = 2.

PCAT - Pharmacy College Admission Test Practice Test