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  • Question
  • 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

  • Correct Answer
  • Only II, III and IV follow 

    Explanation
    All colleges are schools. No house is school.

    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 college is house'. Thus, IV follows.

    All colleges are schools. All schools are teachers.

    Clearly, it follows that 'All colleges are teachers'. Thus, II follows.

    No house is school. All schools are teachers.

    Since the middle term 'schools' is distributed twice, the conclusion must be particular.

    Since one premise is negative, the conclusion must be negative. So, it follows that 'Some teachers are not houses'.


    Logical Deduction problems


    Search Results


    • 1. 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
    • 2. Statements: All doors are roads. No road is fruit. Some flowers are doors.

      Conclusions:

      1. Some fruits are doors.
      2. Some fruits are flowers.
      3. Some roads are flowers.
      4. No fruit is flower.


    • Options
    • A. Only either II or III, and IV follow
    • B. Only either II or IV, and III follow
    • C. Only either II or IV, and I follow
    • D. Only either II or IV follows
    • E. All follow
    • Discuss
    • 3. Statements: All players are spectators. Some spectators are theatres. Some theatres are dramas.

      Conclusions:

      1. Some dramas are spectators.
      2. Some players are dramas.
      3. Some theatres are players.
      4. All spectators are players.


    • Options
    • A. None follows
    • B. Only I and III follow
    • C. Only II follows
    • D. Only II and IV follow
    • E. All follow
    • Discuss
    • 4. Statements: No tree is fruit. All fruits are stones. All stones are rains.

      Conclusions:

      1. No stone is tree.
      2. No rain is tree.
      3. Some rains are fruits.
      4. Some rains are trees.


    • Options
    • A. Only either II or III, and I follow
    • B. None follows
    • C. Only either II or IV, and III follow
    • D. All follow
    • E. None of these
    • Discuss
    • 5. Statements: All pencils are birds. All birds are skies. All skies are hills.

      Conclusions:

      1. All pencils are hills.
      2. All hills are birds
      3. All skies are pencils.
      4. All birds are hills.


    • Options
    • A. Only I and II follow
    • B. Only I and III follow
    • C. Only III and IV follow
    • D. All follow
    • E. None of these
    • Discuss
    • 6. 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
    • 7. 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
    • 8. 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
    • 9. 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
    • Discuss
    • 10. 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


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