Question 1 of 5
A key is in exactly one of two boxes, A or B. It is not in A. Where is it?
Answer & explanation
B
The two boxes exhaust the stated possibilities. Eliminating A leaves B as the only location.
5 questions · Untimed · Free
5 Logic Puzzles with Answers
Start with two boxes, then reason about card positions, conditional rules and overlapping blocks. These five puzzles from Logic & Puzzles can be solved from the stated clues alone. One supporting illustration shows the setting without revealing the solution.
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0 of 5 answeredYour first question is ready.
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Question 2 of 5
Three cards—blue, red, and green—lie left to right. The blue card is immediately left of the red card. Which full order is allowed?
Answer & explanation
Blue, red, green
Immediately left means no card can come between blue and red. Only the order blue–red–green among the listed choices keeps that pair together in the required direction.
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Question 3 of 5
A puzzle rule says, “If the amber card is chosen, the square card is also chosen.” The amber card was chosen. What follows?
Answer & explanation
The square card was chosen
The condition has occurred, so the rule requires the square card too. It does not say that no other card was chosen.
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Question 4 of 5
A box rule says, “If a red token is inside, a blue token is inside.” Which listed box would break the rule?
Answer & explanation
Red only
The rule fails only when its red condition is met but the required blue token is absent.
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Question 5 of 5
Five cells form a row, numbered 1 to 5 from left to right. Exactly three consecutive cells must be filled, with no other filled cells. Which cell is filled in every valid solution?
Answer & explanation
Cell 3
The only three-cell blocks are 1–2–3, 2–3–4, and 3–4–5. Cell 3 belongs to all three, so it is forced even though the whole block is not yet determined.
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FROM ANSWERING TO UNDERSTANDING
What you can learn from this quiz
- Eliminating an impossible option
- Checking card order and if–then rules
- Finding a cell shared by every allowed block
A way to learn more from each answer
Write down only what each clue guarantees. Try every listed arrangement against the complete rule, and distinguish an allowed solution from something that must happen in every solution. These puzzles are a learning activity, not an IQ test.
Read further with a quiz source: NRICH: Encouraging Primary Children to Work SystematicallyBefore you move on
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