🧩 Consistency Logic Quiz: Claims and Contradictions

🧩 Analytical Reasoning · Quiz 015

A set of claims is consistent when at least one complete situation satisfies them all. Search for a model; if none exists, identify the conflicting rules.

Learning goalDecide whether statements can all be true together and identify the exact source of contradiction.

  • 5 questions
  • Foundation
  • Explanations after finishing
Answered 0/5
FoundationWhich pair of claims cannot both be true?
Need a small nudge?

Look for a statement and its exact negation.

UnderstandingExactly one of A and B is selected, and A is selected. Which statement must be consistent with both facts?
Need a small nudge?

Exactly one plus A determines B.

ApplicationThe claims X before Y and Y before Z are both true. Which added claim creates a contradiction?
Need a small nudge?

Combine the two claims into one chain.

InterpretationThe rule P implies Q is true, and P is true. Which truth assignment is consistent?
Need a small nudge?

A true antecedent activates the conditional.

ConnectionFour claims concern P, Q, R, and S: Exactly one of P and Q is true. At least one of Q and R is true. R and S cannot both be true. S is true. Which complete truth assignment is consistent?
Need a small nudge?

Start with S, exclude R, then apply the at-least-one and exactly-one rules.


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