Fact 1: Pictures can tell a story. Fact 2: All storybooks have pictures. Fact…

2023

Fact 1: Pictures can tell a story.

Fact 2: All storybooks have pictures.

Fact 3: Some storybooks have words.

If the first three statements are facts, which of the following statements must also be a fact?

  1. Pictures can tell a story better than words can.

  2. The stories in storybooks are very simple.

  3. Some storybooks have both words and pictures.

  1. A.

    I only

  2. B.

    II only

  3. C.

    III only

  4. D.

    None of the statements is a known fact

Attempted by 20 students.

Show answer & explanation

Correct answer: C

Concept: A statement can be treated as a known fact only when it is forced to be true by the given facts through strict logical entailment — not because it sounds plausible, adds an unstated comparison, or introduces an unmentioned quality. If any situation could satisfy all the given facts while making a statement false, that statement is not a guaranteed fact.

Application: Check each statement against exactly what the three facts state:

  • Fact 1 only says pictures are capable of telling a story; it makes no comparison between pictures and words, so the claim that pictures tell a story better than words adds a comparison the facts never make — it is not forced to be true.

  • The facts describe what storybooks contain, not how simple or complex their stories are, so a claim about the stories being very simple introduces a quality the facts never establish.

  • Fact 2 says every storybook has pictures, and Fact 3 says some storybooks have words. The storybooks referred to in Fact 3 are still storybooks, so by Fact 2 they must also have pictures — so those particular storybooks have both words and pictures. This is a direct, forced consequence of Facts 2 and 3 taken together.

Cross-check: Try to build a scenario where Facts 1-3 all hold but the words-and-pictures statement is false — that would need some storybook with words to lack pictures, which Fact 2 rules out directly, so no such scenario exists. The other two statements, by contrast, can easily be false while every fact still holds (pictures and words could be equally effective at storytelling, and stories could be long or complex), which confirms that only the words-and-pictures statement must be a fact.

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