NFST Logical and Spatial Reasoning 2 — Questions and Answers
Question 1: What is the next number in the sequence: 3, 7, 15, 31, 63, ___?
- 127 (Correct answer)
- 95
- 111
- 256
Correct answer: 127
Each term is double the previous term plus 1: 63×2+1=127.
Question 2: If all firefighters are first responders, and some first responders are paramedics, which statement must be true?
- All firefighters are paramedics
- Some firefighters may be paramedics (Correct answer)
- No firefighters are paramedics
- All paramedics are firefighters
Correct answer: Some firefighters may be paramedics
Since only some first responders are paramedics, firefighters (a subset) could overlap with paramedics but it is not guaranteed.
Question 3: What is the next letter in the sequence: A, C, F, J, O, ___?
- U (Correct answer)
- T
- S
- R
Correct answer: U
The gaps increase by one each time (+2, +3, +4, +5, +6), so O (position 15) + 6 = U (position 21).
Question 4: A fire truck parked facing North turns 90° clockwise, then 180° counterclockwise. What direction is it now facing?
- North
- South
- East
- West (Correct answer)
Correct answer: West
North + 90° clockwise = East; East + 180° counterclockwise = West.
Question 5: A fire hose fills a 500-gallon tank in 10 minutes. How many tanks can it fill in 45 minutes?
- 4
- 4.5 (Correct answer)
- 5
- 5.5
Correct answer: 4.5
45 minutes ÷ 10 minutes per tank = 4.5 tanks.
Question 6: A dispatch map shows Station A at coordinates (2, 3) and a fire at (8, 7). What is the approximate straight-line distance?
- 5.2 units
- 6.8 units
- 7.2 units (Correct answer)
- 10 units
Correct answer: 7.2 units
Distance = √((8−2)² + (7−3)²) = √(36+16) = √52 ≈ 7.2 units.
Question 7: A pattern follows: 2, 4, 8, 16, ___. What number comes next?
- 24
- 28
- 30
- 32 (Correct answer)
Correct answer: 32
Each term is double the previous: 16×2 = 32.
What is the next number in the sequence: 3, 7, 15, 31, 63, ___?