Logical Venn Diagrams: Exercise-2


  1. Statements:

    All plastics are steels.
    All steels are irons.
    No iron is a liquid.

    Conclusions:

    (I). All irons are steels.
    (II). All plastics are irons.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (e) If only conclusion II follows.

Solution: image
The first conclusion 'All irons are steels' is not possible but the second conclusion 'All plastics are irons' is possible.

  1. Statements:

    No apple is a banana.
    All grapes are bananas.
    Some apples are mangoes.

    Conclusions:

    (I). Some mangoes are grapes.
    (II). Some grapes being apples is a possibility.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (a) If neither conclusion I nor conclusion II follows.

Solution: image
No conclusion is following the statements.

  1. Statements:

    All fans are coolers.
    All radios are coolers.

    Conclusions:

    (I). All coolers are fans.
    (II). Some radios being fans is a possibility.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (e) If only conclusion II follows.

Solution: image
The first conclusion 'All coolers are fans' is not possible but it is possible that Some radios being fans.


(4-5): Statements:

No bird is an animal.

All animal are monkeys.

Some monkeys are lions.


  1. Conclusions:

    (I). At least some animals are lions.
    (II). All birds being lions is a possibility.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (d) If both the conclusion I and conclusion II follows.

Solution: image
Folllow the figure given above.

  1. Conclusions:

    (I). All monkeys can never be birds.
    (II). Some lions are definitely not birds.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (a) If neither conclusion I nor conclusion II follows.

Solution: image
No conclusion is following the statements.


(6-7): Statements:

All flowers are fruits.

Some fruits are mangoes.

Some mangoes are apples.


  1. Conclusions:

    (I). All flowers can never be mangoes.
    (II). At least some apples are fruits.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (e) If only conclusion II follows.

Solution: image
It is possible that at least some apples are fruits, but the first conclusion 'All flowers can never be mangoes' not follows the statements.

  1. Conclusions:

    (I). All flowers being apples is a possibility.
    (II). No fruit is a apple.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (c) If only conclusion I follows.

Solution: image
It is possible that all flowers being apples, but the second conclusion 'No fruit is a apple' not follows the statements.

(8-10): Statements:

All boys are girls.

All girls are womwn.

  1. Conclusions:

    (I). Some women are boys.
    (II). Some girls are boys.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (d) If both the conclusion I and conclusion II follows.

Solution: image
Both the conclusions are following the statements.

  1. Conclusions:

    (I). All boys are women.
    (II). Some boys are not girls.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (c) If only conclusion I follows.

Solution: image
It is possible that all boys are women, but the second conclusion 'Some boys are not girls' not follows the statements.

  1. Conclusions:

    (I). All girls are boys.
    (II). Some women are girls.

    1. If neither conclusion I nor conclusion II follows.
    2. If either conclusion I or conclusion II follows.
    3. If only conclusion I follows.
    4. If both the conclusion I and conclusion II follows.
    5. If only conclusion II follows.


Answer: (e) If only conclusion II follows.

Solution: image
It is possible that some women are girls, but the first conclusion 'All girls are boys' not follows the statements.