AMCAT Quantitative Ability 2 — Questions and Answers
Question 1: A pipe fills a tank in 10 hours and another empties it in 15 hours. If both are open simultaneously, in how many hours will the tank be filled?
- 20
- 25
- 30 (Correct answer)
- 35
Correct answer: 30
Net rate = 1/10 − 1/15 = 1/30, so the tank fills in 30 hours.
Question 2: If the area of a square is 144 sq ft, what is its perimeter?
- 36 ft
- 44 ft
- 48 ft (Correct answer)
- 52 ft
Correct answer: 48 ft
Side = √144 = 12 ft; perimeter = 4 × 12 = 48 ft.
Question 3: A car depreciates by 10% every year. If its current value is $18,000, what will it be worth after 2 years?
- $14,400
- $14,580 (Correct answer)
- $15,000
- $16,200
Correct answer: $14,580
Value after 2 years = 18000 × (0.9)² = 18000 × 0.81 = $14,580.
Question 4: The LCM of 12 and 18 is:
- 24
- 30
- 36 (Correct answer)
- 54
Correct answer: 36
LCM(12, 18) = 36 since 36 is the smallest number divisible by both 12 and 18.
Question 5: If x + y = 10 and x − y = 4, what is the value of x?
- 5
- 6
- 7 (Correct answer)
- 8
Correct answer: 7
Adding the equations: 2x = 14, so x = 7.
Question 6: What is 35% of 280?
- 88
- 96
- 98 (Correct answer)
- 102
Correct answer: 98
35% of 280 = 0.35 × 280 = 98.
AMCAT Quantitative Ability 2
A pipe fills a tank in 10 hours and another empties it in 15 hours.
If both are open simultaneously, in how many hours will the tank be filled?