COOP Quantitative Reasoning 3 — Questions and Answers
Question 1: A swimming pool holds 5,400 gallons. If it drains at 90 gallons per hour, how many hours until it is empty?
- 55
- 60 (Correct answer)
- 50
- 65
Correct answer: 60
5,400 ÷ 90 = 60 hours.
Question 2: If the pattern is 2, 5, 10, 17, 26, what is the next number?
- 35
- 37 (Correct answer)
- 36
- 38
Correct answer: 37
The differences are 3, 5, 7, 9, 11 — so 26 + 11 = 37.
Question 3: A pie is cut into 8 equal slices. Tom eats 3 slices and Jane eats 2 slices. What fraction of the pie remains?
- 3/8 (Correct answer)
- 5/8
- 2/8
- 1/2
Correct answer: 3/8
5 slices eaten; 3 remain out of 8, so 3/8 is left.
Question 4: Which number is a prime number?
- 27
- 33
- 41 (Correct answer)
- 51
Correct answer: 41
41 has no divisors other than 1 and itself, making it prime.
Question 5: A car's fuel tank holds 14 gallons. The car gets 28 miles per gallon. How far can it travel on a full tank?
- 336 miles
- 392 miles (Correct answer)
- 280 miles
- 420 miles
Correct answer: 392 miles
14 × 28 = 392 miles on a full tank.
Question 6: If 5x − 7 = 18, what is x?
- 4
- 5 (Correct answer)
- 6
- 3
Correct answer: 5
5x = 25, so x = 5.
Question 7: A rectangle and a square have equal perimeters. The rectangle is 10 cm × 6 cm. What is the side length of the square?
- 7 cm
- 8 cm (Correct answer)
- 9 cm
- 6 cm
Correct answer: 8 cm
Rectangle perimeter = 2(10+6) = 32 cm; square side = 32 ÷ 4 = 8 cm.
COOP Quantitative Reasoning 3
A swimming pool holds 5,400 gallons.
If it drains at 90 gallons per hour, how many hours until it is empty?