Quantitative Reasoning Flashcards
7 cards from real OAT 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
A cylinder has a radius of 4 cm and a height of 9 cm. What is its volume?
Answer: 144π cm³
V = πr²h = π(4²)(9) = 144π cm³.
Solve for x: |2x − 6| = 10
Answer: x = 8 or x = −2
2x − 6 = 10 → x = 8, or 2x − 6 = −10 → x = −2.
In a class of 30 students, 18 play soccer and 14 play basketball. If 5 play neither sport, how many play both?
Answer: 7
Students playing at least one sport = 25; by inclusion-exclusion: 18 + 14 − both = 25 → both = 7.
If a right triangle has legs of length 7 and 24, what is the length of the hypotenuse?
Answer: 25
c = √(7² + 24²) = √(49 + 576) = √625 = 25.
What is the sum of the first 20 positive odd integers?
Answer: 400
The sum of the first n odd integers = n²; for n = 20, sum = 400.
A store marks up an item by 40%, then offers a 20% discount. What is the net percent change from the original price?
Answer: 12% increase
Net factor = 1.40 × 0.80 = 1.12, representing a 12% increase over the original price.
Evaluate: ∑(k=1 to 5) of (2k + 1)
Answer: 35
Sum = 3 + 5 + 7 + 9 + 11 = 35.