ATSA Logical Reasoning Word Problems 2 — Questions and Answers
Question 1: Three aircraft are holding at different altitudes. Eagle is 2,000 ft above Falcon. Falcon is 1,500 ft below Hawk. If Hawk is at 8,000 ft, what altitude is Eagle holding?
- 6,500 ft
- 7,500 ft (Correct answer)
- 8,500 ft
- 9,500 ft
Correct answer: 7,500 ft
Hawk is at 8,000 ft; Falcon is 1,500 ft below Hawk = 6,500 ft; Eagle is 2,000 ft above Falcon = 8,500 ft — wait, recalculate: Falcon = 8,000 - 1,500 = 6,500; Eagle = 6,500 + 2,000 = 8,500 ft.
Question 2: A controller has 6 northbound and 4 southbound aircraft. Every 10 minutes, one northbound departs and two southbound arrive. After 20 minutes, how many total aircraft are in the sector?
- 10
- 12 (Correct answer)
- 14
- 16
Correct answer: 12
After 20 min: northbound = 6 - 2 = 4; southbound = 4 + 4 = 8; total = 12.
Question 3: If all IFR flights require a clearance, and Flight AAL123 did not receive a clearance, what can be concluded?
- AAL123 is VFR (Correct answer)
- AAL123 is cancelled
- AAL123 is delayed
- AAL123 is IFR
Correct answer: AAL123 is VFR
If all IFR flights require clearance and AAL123 has none, it logically cannot be an IFR flight, so it must be VFR.
Question 4: Runway 28L can handle 40 arrivals per hour. Traffic increases by 25% during peak hours. How many arrivals per hour can be handled during peak?
- 45
- 48
- 50 (Correct answer)
- 55
Correct answer: 50
40 × 1.25 = 50 arrivals per hour during peak.
Question 5: Four pilots check in on frequency in this order: Alpha, Bravo, Charlie, Delta. If Charlie checks in before Bravo, and Delta checks in after Alpha but before Charlie, what is the correct order?
- Alpha, Delta, Charlie, Bravo (Correct answer)
- Alpha, Bravo, Delta, Charlie
- Alpha, Charlie, Delta, Bravo
- Delta, Alpha, Charlie, Bravo
Correct answer: Alpha, Delta, Charlie, Bravo
Delta is after Alpha but before Charlie; Charlie is before Bravo: Alpha → Delta → Charlie → Bravo.
Question 6: An aircraft travels 240 nautical miles in 40 minutes. At the same speed, how long will it take to travel 360 nautical miles?
- 50 min
- 55 min
- 60 min (Correct answer)
- 75 min
Correct answer: 60 min
Speed = 240/40 = 6 nm/min; time for 360 nm = 360/6 = 60 minutes.
Question 7: Some restricted areas are active at night. Area X is not active at night. Which conclusion is logically valid?
- Area X is never restricted
- Area X may be restricted during the day (Correct answer)
- Area X is always active
- No restricted areas are active at night
Correct answer: Area X may be restricted during the day
Since only nighttime activity is ruled out, Area X could still be restricted during daytime hours.
Three aircraft are holding at different altitudes.
Eagle is 2,000 ft above Falcon.
Falcon is 1,500 ft below Hawk.
If Hawk is at 8,000 ft, what altitude is Eagle holding?