Logic Puzzles and Brain Teasers

Difficulty: hard. 8 questions.

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Total Questions
8
Published
July 22, 2026
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topic
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logic
puzzles
brain
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Showing 5 of 8 questions - take the quiz to answer them all

  1. 1

    A detective is investigating a crime. Four suspects, A, B, C, and D, provide alibis. The detective knows that if suspect A is guilty, then suspect B is also guilty. If suspect B is guilty, then suspect C is innocent. If suspect C is guilty, then suspect D is innocent. If suspect D is innocent, then suspect A is guilty. If suspect B is innocent, then suspect C is guilty. Given these conditions, which of the following scenarios is logically impossible?

    • AA is innocent, B is innocent, C is guilty, D is innocent
    • BA is guilty, B is guilty, C is innocent, D is innocent
    • CA is guilty, B is innocent, C is guilty, D is innocent
    • DA is innocent, B is guilty, C is innocent, D is innocent
  2. 2

    Consider a set of statements: If it is raining, then the ground is wet. If the ground is wet, then the grass is slippery. If the grass is slippery, then I will fall. If I fall, then I will be injured. If it is not raining, then the ground is dry. If the ground is dry, then the grass is not slippery. If the grass is not slippery, then I will not fall. If I do not fall, then I will not be injured. If it is raining, am I guaranteed to be injured?

    • ANo, there's a possibility of not being injured.
    • BOnly if the grass is also wet.
    • CYes, the chain of implications guarantees injury.
    • DThis cannot be determined from the given statements.
  3. 3

    A logician is presented with three boxes, labeled 'Apples', 'Oranges', and 'Apples and Oranges'. Each box is incorrectly labeled. You are allowed to pick only one fruit from only one box. Which box should you pick from to correctly label all boxes?

    • AIt is impossible to determine from picking just one fruit.
    • BThe box labeled 'Apples and Oranges'
    • CThe box labeled 'Oranges'
    • DThe box labeled 'Apples'
  4. 4

    Five friends, Alice, Bob, Carol, David, and Eve, are sitting in a row. Alice is not sitting next to Bob. Carol is sitting at one of the ends. David is sitting between Alice and Eve. Eve is not sitting next to Bob. Which of the following arrangements are possible? Select all that apply.

    • ACarol, Eve, David, Alice, Bob
    • BCarol, Alice, David, Eve, Bob
    • CEve, David, Alice, Bob, Carol
    • DBob, Alice, David, Eve, Carol
  5. 5

    Consider the statement: 'All men are mortal. Socrates is a man.' From these two premises, which conclusion logically follows?

    • ASocrates is mortal.
    • BAll mortals are men.
    • CSocrates is not mortal.
    • DSome men are not mortal.