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  • Question
  • Fact 1: All chickens are birds.
    Fact 2: Some chickens are hens.
    Fact 3: Female birds lay eggs.
    If the first three statements are facts, which of the following statements must also be a fact?
    I: All birds lay eggs.
    II: Some Hens are birds.
    III: Some chickens are not hens.


  • Options
  • A. I only
  • B. II only
  • C. II and III only
  • D. None of the statements is a known fact.

  • Correct Answer
  • II and III only 

    Explanation
    The first statement cannot be true because only female birds lay eggs. Statement II is true because some hens are chickens and all chickens are birds. Statement III is also true because if only some chickens are hens, then some must not be hens.

  • Logical Problems


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    • 1. 
      Fact 1: All drink mixes are beverages.
      Fact 2: All beverages are drinkable.
      Fact 3: Some beverages are red.
      If the first three statements are facts, which of the following statements must also be a fact?
      I: Some drink mixes are red.
      II: All beverages are drink mixes.
      III: All red drink mixes are drinkable.

    • Options
    • A. I and II only
    • B. II only
    • C. I and III only
    • D. III only
    • E. None of the statements is a known fact.
    • Discuss
    • 2. 
      Fact 1: Jessica has four children
      Fact 2: Two of the children have blue eyes and two of the children have brown eyes.
      Fact 3: Half of the children are girls.
      If the first three statements are facts, which of the following statements must also be a fact?
      I: At least one girl has blue eyes.
      II: Two of the children are boys.
      III: The boys have brown eyes.

    • Options
    • A. I only
    • B. II only
    • C. II and III only
    • D. None of the statements is a known fact.
    • Discuss
    • 3. 
      Fact 1: All dogs like to run.
      Fact 2: Some dogs like to swim.
      Fact 3: Some dogs look like their masters.
      If the first three statements are facts, which of the following statements must also be a fact?
      I: All dogs who like to swim look like their masters.
      II: Dogs who like to swim also like to run.
      III: Dogs who like to run do not look like their masters.

    • Options
    • A. I only
    • B. II only
    • C. II and III only
    • D. None of the statements is a known fact.
    • Discuss
    • 4. A jar of jelly beans contains more red beans than green.
      There are more yellow beans than red.
      The jar contains fewer yellow jelly beans than green ones.
      If the first two statements are true, the third statement is

    • Options
    • A. true
    • B. false
    • C. uncertain
    • Discuss
    • 5. The bookstore has a better selection of postcards than the newsstand does.
      The selection of postcards at the drugstore is better than at the bookstore.
      The drugstore has a better selection of postcards than the bookstore or the newsstand.
      If the first two statements are true, the third statement is

    • Options
    • A. true
    • B. false
    • C. uncertain
    • Discuss
    • 6. 
      Fact 1: All hats have brims.
      Fact 2: There are black hats and blue hats.
      Fact 3: Baseball caps are hats.
      If the first three statements are facts, which of the following statements must also be a fact?
      I: All caps have brims.
      II: Some baseball caps are blue.
      III: Baseball caps have no brims.

    • Options
    • A. I only
    • B. II only
    • C. II and III only
    • D. None of the statements is a known fact.
    • Discuss
    • 7. 
      Fact 1: Eyeglass frames cost between $35 and $350.
      Fact 2: Some eyeglass frames are made of titanium.
      Fact 3: Some eyeglass frames are made of plastic.
      If the first three statements are facts, which of the following statements must also be a fact?
      I: Titanium eyeglass frames cost more than plastic frames.
      II: Expensive eyeglass frames last longer than cheap frames.
      III: Only a few eyeglass frames cost less than $35.

    • Options
    • A. I only
    • B. II only
    • C. II and III only
    • D. None of the statements is a known fact.
    • Discuss
    • 8. 
      Fact 1: Most stuffed toys are stuffed with beans.
      Fact 2: There are stuffed bears and stuffed tigers.
      Fact 3: Some chairs are stuffed with beans.
      If the first three statements are facts, which of the following statements must also be a fact?
      I: Only children's chairs are stuffed with beans.
      II: All stuffed tigers are stuffed with beans.
      III: Stuffed monkeys are not stuffed with beans.

    • Options
    • A. I only
    • B. II only
    • C. II and III only
    • D. None of the statements is a known fact.
    • Discuss
    • 9. 
      Fact 1: Mary said, "Ann and I both have cats."
      Fact 2: Ann said, "I don't have a cat."
      Fact 3: Mary always tells the truth, but Ann sometimes lies.
      If the first three statements are facts, which of the following statements must also be a fact?
      I: Ann has a cat.
      II: Mary has a cat.
      III: Ann is lying.

    • Options
    • A. I only
    • B. II only
    • C. I and II only
    • D. All the statements are facts.
    • Discuss
    • 10. 
      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?
      I: Pictures can tell a story better than words can.
      II: The stories in storybooks are very simple.
      III: Some storybooks have both words and pictures.

    • Options
    • A. I only
    • B. II only
    • C. III only
    • D. None of the statements is a known fact.
    • Discuss


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