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  • Question
  • 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

  • Correct Answer
  • Only either II or IV, and III follow 

    Explanation
    No tree is fruit. All fruits are stones.

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

    Since one premise is negative, the conclusion must be negative. So, it follows that

    'Some stones are not trees'.

    All fruits are stones. All stones are rains.

    Clearly, it follows that 'All fruits are rains'. III is the converse of this conclusion and so it holds.

    No tree is fruit, All fruits are rains.

    As discussed above, the conclusion must be particular negative and should not contain the middle term. So, it follows that 'Some rains are not trees'. However, II and IV involve only the extreme terms and form a complementary pair. Thus, either II or IV follows.


    Logical Deduction problems


    Search Results


    • 1. 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
    • 2. Statements: Some spoons are bowls. All bowls are knives. All knives are forks.

      Conclusions:

      1. All spoons are forks.
      2. All bowls are forks.
      3. Some knives are bowls.
      4. Some forks are spoons.


    • Options
    • A. Only II and III follow
    • B. Only II and IV follow
    • C. Only III and IV follow
    • D. All follow
    • E. None of these
    • Discuss
    • 3. Statements: Some tigers are lions. Some lions are rabbits. Some rabbits are horses.

      Conclusions:

      1. Some tigers are horses.
      2. Some rabbits are tigers.
      3. Some horses are lions.
      4. All horses are rabbits.


    • Options
    • A. All follow
    • B. None follows
    • C. Only I and II follow
    • D. Only II and IV follow
    • E. Only IV follows
    • Discuss
    • 4. Statements: All oceans are rivers. Some springs are rivers. All wells are springs.

      Conclusions:

      1. Some springs are oceans.
      2. Some wells are rivers.
      3. Some rivers are oceans.
      4. No well is river.


    • Options
    • A. None follows
    • B. Only either I or III, and IV follow
    • C. Only either II or IV, and III follow
    • D. All follow
    • E. Only either II or IV, and I follow
    • Discuss
    • 5. Statements: All doors are buses. All buses are leaves. No leaf is a flower.

      Conclusions:

      1. No flower is a door.
      2. No flower is a bus.
      3. Some leaves are doors.
      4. Some leaves are buses.


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


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