Analytical and Logical Reasoning
What is being measured
The ability to apply rules exactly, draw only the conclusions that are forced, and spot reasoning errors. Expect conditional rules drawn from regulations, ordering and scheduling puzzles, and short arguments where you identify an assumption or a flaw.
Core concepts
Conditional statements: If A, then B. The only valid reversal is the contrapositive: If not B, then not A. Two invalid moves are common - the converse (If B, then A) and the inverse (If not A, then not B). Necessary versus sufficient: being certified may be required to hold a post without being enough to get it. Quantifiers: all, some, none, only. Rule puzzles: list every constraint, then test answer choices by trying to break them. Arguments: separate evidence from conclusion; an assumption is an unstated premise the argument needs.
Traps
- Converse error: All K-9 handlers are certified. Ruiz is certified. Therefore Ruiz is a K-9 handler. This does not follow.
- Unless read as if: Unless the count clears, visits are cancelled means If the count does not clear, visits are cancelled.
- Ignoring a not both or only one rule.
- Choosing an answer that is merely plausible rather than logically required.
- Confusing correlation with cause in cause-and-effect items.
Rule of thumb
For any conclusion, try to build a scenario where the evidence is true and the conclusion is false. If you can, the argument fails. For rule puzzles, draw a simple grid or ordered list rather than holding everything in your head.
Worked example
Rule: No inmate may attend the program unless cleared by classification. Rephrase: If an inmate attends, then the inmate was cleared. So an inmate who was cleared may or may not attend - the rule gives permission, not obligation.