🧩 Counterexample Reasoning Quiz: Testing General Claims

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🧩 Analytical Reasoning · Quiz 016

A universal claim can survive many supporting examples and still fail. One valid counterexample is enough when it meets the claim’s conditions but not its promised result.

Learning goalRefute a universal or conditional claim by finding one valid case that satisfies its trigger and violates its conclusion.

  • 5 questions
  • Foundation
  • Explanations after finishing
Answered 0/5
FoundationA rule claims, “Every object in Group G is round.” Which finding is a counterexample?
Need a small nudge?

Meet the group condition and violate the roundness claim.

UnderstandingThe claim is, “Every whole number divisible by 4 is divisible by 8.” Which number is a counterexample?
Need a small nudge?

Find a multiple of 4 that is not a multiple of 8.

ApplicationThe claim is, “If a whole number is greater than 10, then it is even.” Which value is a counterexample?
Need a small nudge?

The value must be greater than 10 and odd.

InterpretationThe claim is, “Whenever A is scheduled before B, A is immediately before B.” Which three-event schedule refutes it?
Need a small nudge?

Place A before B with another event between them.

ConnectionExactly three of A-E form a committee. A requires B, and C cannot serve with D. The claim says every valid committee containing E also contains C. Which committee is a counterexample?
Need a small nudge?

The committee must be valid, include E, and exclude C.

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