FireTEAM Inductive Reasoning Flashcards

Which number logically follows this series? 3, 7, 12, 18, 25, ?

Answer: 33

The pattern is to add an incrementally larger number to the previous term. The difference between 3 and 7 is 4, between 7 and 12 is 5, and so on. Therefore, the next number to add is 8 (25 + 8), making the next term 33.

Which letter logically follows this series? C, F, I, L, O, ?

Answer: R

The sequence progresses by skipping two letters of the alphabet between each term. After 'O', skipping 'P' and 'Q' leads to the letter 'R'. This demonstrates a consistent alphabetical progression.

A sequence of shapes shows a dot moving between the corners of a square: 1. Top-Left, 2. Top-Right, 3. Bottom-Right, 4. Bottom-Left, 5. Top-Left. What is the next position of the dot?

Answer: Top-Right

The dot within the square is moving in a clockwise direction, occupying each corner sequentially. Since the fifth shape repeats the first, the sixth shape must repeat the second, placing the dot in the top-right corner.

What comes next in this combined series? 2A, 4C, 8E, 16G, ?

Answer: 32I

The sequence has two independent patterns. The numerical component doubles with each step (2, 4, 8, 16, 32), and the alphabetical component skips one letter (A, C, E, G, I). Combining these patterns gives the next term as 32I.

Which word does not belong with the others?

Answer: Dispatch

Hydrant, Nozzle, and Ladder are all physical pieces of equipment used by firefighters directly during an incident. Dispatch refers to the communication and coordination center, which is a support function rather than a tangible tool used on-site.

A sequence of shapes is shown: 1. A triangle, 2. A square, 3. A pentagon. What shape comes next?

Answer: A hexagon

The pattern is a progression of polygons, with each subsequent shape having one more side than the previous one. The sequence is triangle (3 sides), square (4 sides), pentagon (5 sides), so the next shape must be a hexagon (6 sides).