Quantitative Reasoning Flashcards

7 cards from real PCAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Quantitative Reasoning flashcards as text

If 20% of a number is 35, what is 45% of the same number?
Answer: 78.75
The number is 35/0.20 = 175; 45% of 175 = 0.45 × 175 = 78.75.
A pharmacist dispenses tablets at a rate of 12 tablets per minute. How many tablets are dispensed in 2.5 hours?
Answer: 1,800
2.5 hours = 150 minutes; 12 × 150 = 1,800 tablets.
Simplify: √(48) − √(12)
Answer: 2√3
√48 = 4√3 and √12 = 2√3; 4√3 − 2√3 = 2√3.
If the area of a circle is 100π cm², what is its circumference?
Answer: 20π cm
A = πr² = 100π → r = 10; C = 2πr = 20π cm.
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?
Answer: 94
Total needed = 84 × 5 = 420; current total = 326; needed = 420 − 326 = 94.
Which expression equals (a + b)² − (a − b)²?
Answer: 4ab
(a+b)² = a²+2ab+b² and (a−b)² = a²−2ab+b²; the difference is 4ab.
A 2 L IV bag drips at 80 mL/hour. How many hours will the bag last?
Answer: 25 hours
2,000 mL ÷ 80 mL/hr = 25 hours.