FAST Future Aptitude Selection Tool Logical Reasoning 4 — Questions and Answers
Question 1: All pilots complete flight simulator training. Some simulator trainees fail the vision test. Which conclusion is definitely true?
- All pilots fail the vision test
- Some pilots may have failed the vision test (Correct answer)
- No pilot fails the vision test
- All vision test failures become pilots
Correct answer: Some pilots may have failed the vision test
Since some simulator trainees fail the vision test, and all pilots are simulator trainees, it is possible (but not certain) that some pilots are among those who fail.
Question 2: A sequence follows this rule: each term equals the sum of the two terms before it minus 1. If the sequence begins 2, 3, 4, 6, 9 … what is the next term?
- 13
- 14 (Correct answer)
- 15
- 16
Correct answer: 14
9 + 6 − 1 = 14, confirming the rule: each term = prior term + term before that − 1.
Question 3: Which statement is the logical contrapositive of 'If an aircraft is airworthy, then its maintenance log is current'?
- If the maintenance log is current, the aircraft is airworthy
- If the aircraft is not airworthy, the maintenance log is not current
- If the maintenance log is not current, the aircraft is not airworthy (Correct answer)
- If the aircraft is airworthy, the maintenance log may be current
Correct answer: If the maintenance log is not current, the aircraft is not airworthy
The contrapositive of 'If P then Q' is 'If not Q then not P,' so the correct form is 'If the log is not current, the aircraft is not airworthy.'
Question 4: A grid has 5 rows and 5 columns. Every row and every column contains exactly one star. If rows 1–4 already have stars in columns 3, 1, 4, and 2 respectively, in which column must row 5's star be placed?
- Column 1
- Column 2
- Column 3
- Column 5 (Correct answer)
Correct answer: Column 5
Columns 1, 2, 3, and 4 are already used, so the only remaining column for row 5 is column 5.
Question 5: Helmet is to head as vest is to:
- Arm
- Torso (Correct answer)
- Leg
- Foot
Correct answer: Torso
A helmet protects the head; a vest protects the torso.
Question 6: Three officers — Reyes, Singh, and Torres — are ranked 1st, 2nd, and 3rd (no ties). Singh outranks Torres. Reyes does not rank 1st. What is Reyes's rank?
- 1st
- 2nd (Correct answer)
- 3rd
- Cannot be determined
Correct answer: 2nd
Singh outranks Torres so Singh is 1st or 2nd; since Reyes is not 1st, Singh must be 1st, Reyes 2nd, and Torres 3rd.
Question 7: Which of the following number pairs follows the same relationship as 7 : 49?
- 4 : 12
- 5 : 25 (Correct answer)
- 6 : 36
- 8 : 56
Correct answer: 5 : 25
7 : 49 is a 1 : 7 squared relationship (7² = 49); 5² = 25, so 5 : 25 matches.
All pilots complete flight simulator training.
Some simulator trainees fail the vision test.
Which conclusion is definitely true?