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  • Question
  • Statements: No paper is pen. No pen is pencil. All erasers are papers.

    Conclusions:

    1. Some papers are erasers.
    2. No pencil is eraser.
    3. No pen is eraser.
    4. All papers are erasers.


  • Options
  • A. Only I and II follow
  • B. Only II and III follow
  • C. Only I, II and III follow
  • D. All follow
  • E. None of these

  • Correct Answer
  • None of these 

    Explanation
    I is the converse of the third premise and so it holds.

    No paper is pen. No pen is pencil.

    Since both the premises are negative, no definite conclusion follows.

    All erasers are papers. No paper is pen.

    Since both the premises are universal and one premise is negative, the conclusion must be universal negative and should not contain the middle term. So, it follows that 'No eraser is pen'. III is the converse of this conclusion and so it holds.

    Hence, only I and III follow.


    Logical Deduction problems


    Search Results


    • 1. Statements: All myths are fictions. No fiction is novel. All novels are stories.

      Conclusions:

      1. No myth is novel.
      2. Some fictions are novels.
      3. Some fictions are myths.
      4. Some myths are novels.


    • Options
    • A. Only either I or II and both III and IV follow
    • B. Only either I or IV and II follow
    • C. Only either I or IV and both II and III follow
    • D. All follow
    • E. None of these
    • Discuss
    • 2. Statements: All rods are bricks. Some bricks are ropes. All ropes are doors.

      Conclusions:

      1. Some rods are doors.
      2. Some doors are bricks.
      3. Some rods are not doors.
      4. All doors are ropes.


    • Options
    • A. Only I and II follow
    • B. Only I, II and III follow
    • C. Only either I or III, and II follow
    • D. Only either I or III, and IV follow
    • E. None of these
    • Discuss
    • 3. Statements: Some pearls are stones. Some stones are diamonds. No diamond is a gem.

      Conclusions:

      1. Some gems are pearls.
      2. Some gems are diamonds.
      3. No gem is a diamond.
      4. No gem is a pearl.


    • Options
    • A. Only I and II follow
    • B. Only III and IV follow
    • C. Only either I or IV and either II or III follow
    • D. Only III and either I or IV follow
    • E. None of these
    • Discuss
    • 4. Statements: No house is school. All colleges are schools. All schools are teachers.

      Conclusions:

      1. No house is teacher.
      2. All colleges are teachers.
      3. Some teachers are not houses.
      4. No college is house.


    • Options
    • A. None follows
    • B. Only either I or IV follows
    • C. Only II, III and IV follow
    • D. All follow
    • E. Only either I or IV, and III follow
    • Discuss
    • 5. Statements: All needles are threads. All threads are boxes. All trees are boxes.

      Conclusions:

      1. No needle is tree.
      2. Some trees are threads.
      3. Some boxes are needles.
      4. Some trees are needles.


    • Options
    • A. None follows
    • B. Only either I or IV follows
    • C. Only either I or IV, and II follow
    • D. Only III follows
    • E. Only either I or IV, and III follow
    • Discuss
    • 6. Statements: No man is sky. No sky is road. Some men are roads.

      Conclusions:

      1. No road is man.
      2. No road is sky.
      3. Some skies are men.
      4. All roads are men.


    • Options
    • A. None follows
    • B. Only I follows
    • C. Only II and III follow
    • D. Only I and III follow
    • E. None of these
    • Discuss
    • 7. Statements: All buildings are windows. No toys is building. Some tigers are toys.

      Conclusions:

      1. Some tigers are buildings.
      2. Some windows are tigers.
      3. All toys are tigers.
      4. Some windows are toys.


    • Options
    • A. None follows
    • B. Only I and II follow
    • C. Only III and IV follow
    • D. Only I and III follow
    • E. All follow
    • Discuss
    • 8. Statements: Some papers are cats. All cats are bats. No bat is horse.

      Conclusions:

      1. Some papers are horses.
      2. No horse is cat.
      3. Some bats are papers.
      4. All papers are bats.


    • Options
    • A. Only I and II follow
    • B. Only II and III follow
    • C. Only III and IV follow
    • D. Only I and IV follow
    • E. All follow
    • Discuss
    • 9. Statements: Some tapes are discs. Some discs are cassettes. Some cassettes are songs.

      Conclusions:

      1. Some songs are discs.
      2. Some cassettes are tapes.
      3. Some songs are tapes.
      4. No song is a disc.


    • Options
    • A. Only either I or IV follows
    • B. Only either II or IV follows
    • C. Only III and IV follow
    • D. Only III and either II or IV follows
    • E. None of these
    • Discuss
    • 10. Statements: No table is fruit. No fruit is window. All windows are chairs.

      Conclusions:

      1. No window is table.
      2. No chair is fruit.
      3. No chair is table.
      4. All chairs are windows.


    • Options
    • A. None follows
    • B. Only I and II follow
    • C. Only III and IV follow
    • D. All follow
    • E. None of these
    • Discuss


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