PCAT Quantitative Reasoning 4

Question 1

If 20% of a number is 35, what is 45% of the same number?

Accepted Answer

78.75

Answer

The number is 35/0.20 = 175; 45% of 175 = 0.45 × 175 = 78.75.

Question 2

A pharmacist dispenses tablets at a rate of 12 tablets per minute. How many tablets are dispensed in 2.5 hours?

Accepted Answer

1,800

Answer

2.5 hours = 150 minutes; 12 × 150 = 1,800 tablets.

Question 3

Simplify: √(48) − √(12)

Accepted Answer

2√3

Answer

√48 = 4√3 and √12 = 2√3; 4√3 − 2√3 = 2√3.

Question 4

If the area of a circle is 100π cm², what is its circumference?

Accepted Answer

20π cm

Answer

A = πr² = 100π → r = 10; C = 2πr = 20π cm.

Question 5

A student scored 78, 85, 90, and 73 on four exams. What score is needed on the fifth exam to achieve an average of 84?

Accepted Answer

94

Answer

Total needed = 84 × 5 = 420; current total = 326; needed = 420 − 326 = 94.

PCAT - Pharmacy College Admission Test Practice Test