FEAST Logical Reasoning and Rules Questions and Answers 1 — Questions and Answers
Question 1: An air traffic control system has the following rules for prioritizing landing aircraft: 1. Aircraft with a declared emergency have the highest priority. 2. Faster aircraft have priority over slower aircraft. 3. Aircraft closer to the runway have priority over those farther away. Given the following aircraft, which one should be cleared to land FIRST? - AC123: 10 miles away, speed 180 knots, no emergency. - AC456: 8 miles away, speed 160 knots, no emergency. - AC789: 12 miles away, speed 190 knots, no emergency. - AC987: 20 miles away, speed 170 knots, declared emergency.
- AC456
- AC789
- AC123
- AC987 (Correct answer)
Correct answer: AC987
The rules are hierarchical. The first rule states that an aircraft with a declared emergency has the highest priority, overriding all other factors. AC987 has declared an emergency, so it must be cleared to land first, regardless of its speed or distance from the runway.
Question 2: A series of symbols follows a specific pattern. The arrow indicates the direction of movement or change. Identify the missing element in the sequence. [Square -> Circle] :: [Triangle -> ?] Rule 1: The shape changes from angular to curved, or curved to angular. Rule 2: The number of sides decreases by one.
- A shape with two sides
- A line
- A Diamond
- An Ellipse (Correct answer)
Correct answer: An Ellipse
The first pair shows a Square (angular, 4 sides) changing to a Circle (curved, infinite/0 sides). The primary rule applied is the change from angular to curved. Applying this to the Triangle (angular, 3 sides), the logical next shape is a curved one. An Ellipse fits this rule. The second rule (sides decrease by one) is a distractor and is not consistently applied in the first example.
Question 3: On a standard analog clock face, an aircraft's position is noted at the 4 o'clock position. ATC instructs the pilot to fly directly towards the 10 o'clock position. What is the approximate heading in degrees the pilot should take?
- 180 degrees
- 270 degrees
- 300 degrees (Correct answer)
- 330 degrees
Correct answer: 300 degrees
A clock face is a circle of 360 degrees. Each hour mark represents 30 degrees (360/12). The 4 o'clock position is at 120 degrees (4 x 30). The 10 o'clock position is at 300 degrees (10 x 30). To fly from 4 o'clock towards 10 o'clock, the aircraft must fly towards the 300-degree mark.
Question 4: You are given a set of instructions for sorting flight strips. Rule A: Sort by altitude, highest to lowest. Rule B: If altitudes are equal, sort by callsign, alphabetically. Which of the following sets is sorted correctly according to the rules? Set 1: FL350-BAW123, FL350-AAL456, FL330-UAL789 Set 2: FL330-UAL789, FL350-AAL456, FL350-BAW123 Set 3: FL350-AAL456, FL350-BAW123, FL330-UAL789 Set 4: FL350-BAW123, FL330-UAL789, FL350-AAL456
- Set 2
- Set 3 (Correct answer)
- Set 1
- Set 4
Correct answer: Set 3
Rule A requires sorting by altitude from highest (FL350) to lowest (FL330). Both Set 1, 3, and 4 start with FL350, which is correct. Set 2 is incorrect as it starts with the lowest altitude. Rule B applies to the two flights at FL350. They must be sorted alphabetically by callsign. 'AAL456' comes before 'BAW123'. Therefore, Set 3 is the only one that correctly applies both rules in the correct order.
Question 5: An aircraft is instructed to follow a specific holding pattern. The entry procedure is determined by the aircraft's inbound heading relative to the holding course. The rule is: If the inbound heading is within 70 degrees of the reciprocal of the holding course, a 'Teardrop' entry should be used. The holding course is 090 degrees. Which of the following inbound headings would require a Teardrop entry?
- 180 degrees
- 270 degrees
- 090 degrees
- 300 degrees (Correct answer)
Correct answer: 300 degrees
First, find the reciprocal of the holding course (090 degrees). The reciprocal is 090 + 180 = 270 degrees. Next, determine the 70-degree range around the reciprocal. This range is from 270 - 70 = 200 degrees to 270 + 70 = 340 degrees. The only inbound heading that falls within the 200-340 degree range is 300 degrees.
Question 6: Observe the sequence of numbers: 5, 8, 12, 17, 23, __. What is the logical next number in this series?
- 28
- 29
- 30 (Correct answer)
- 31
Correct answer: 30
The pattern is based on adding consecutively increasing integers. The difference between 5 and 8 is +3. The difference between 8 and 12 is +4. The difference between 12 and 17 is +5. The difference between 17 and 23 is +6. Therefore, the next number in the sequence will be 23 + 7, which equals 30.
An air traffic control system has the following rules for prioritizing landing aircraft:
1.
Aircraft with a declared emergency have the highest priority.
2.
Faster aircraft have priority over slower aircraft.
3.
Aircraft closer to the runway have priority over those farther away.
Given the following aircraft, which one should be cleared to land FIRST?
- AC123: 10 miles away, speed 180 knots, no emergency.
- AC456: 8 miles away, speed 160 knots, no emergency.
- AC789: 12 miles away, speed 190 knots, no emergency.
- AC987: 20 miles away, speed 170 knots, declared emergency.