Yukti #18

Tuesday 27 October 2026 · Sound or fallacy · Gentle

Kind of thinking: Argument

Yukti #18 was a Gentle sound-or-fallacy puzzle, the puzzle for Tuesday 27 October 2026. Yukti, a daily logic puzzle at playyukti.com, gives everyone the same puzzle each day. Here is the puzzle, and its shortest route with the reason for every step.

The puzzle

Which arguments hold?

Take what you're told as true, even where it sounds odd. Mark each argument Holds, or say what breaks it. Every mark must be certain.

  1. 1Wherever there is ash, there is frost.
  2. 2Wherever there is ash, there is fire.
  3. 3The valley has mist, shade, and ash.
  4. 4The hill has fire and ash.
  5. 5The forest has fire and shade, and no mist.

What is the shortest route?

Each argument, with the lines that settle it.

  1. 1

    Argument 1, “the hill has frost”: Holds.

    You were told the hill has ash (line 4), and wherever there is ash, there is frost (line 1).

  2. 2

    Argument 2, “the forest has frost”: Reason not shown.

    Nothing you were told shows the forest has ash.

  3. 3

    Argument 3, “the hill has mist”: Has an exception.

    The forest has fire but no mist (line 5).

  4. 4

    Argument 4, “the valley has fire”: Holds.

    You were told the valley has ash (line 3), and wherever there is ash, there is fire (line 2).

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