Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow/s from the given statement.

Statements:

1.All tomatoes are potatoes.

2.All potatoes are onions.

3.No onion is carrot.

Conclusions:

I. All carrots can be potatoes.

II. Some onions are tomatoes.

III. All tomatoes are carrots.

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Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically follow/s from the given statement.

Statements:

1.All tomatoes are potatoes.

2.All potatoes are onions.

3.No onion is carrot.

Conclusions:

I. All carrots can be potatoes.

II. Some onions are tomatoes.

III. All tomatoes are carrots.

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Only conclusions I and II follow.
Only conclusions II and III follows.
Only conclusion II follow.
Only conclusion III follows.

Answer 1

The least possible Venn diagram for the given statements is as shown below :

qImage67e50964a216e73e5a23286f

Conclusions:

I. All carrots can be potatoes → Does not follow (As all potatoes are onions and no onion is carrot. As whole potatoes comes in onions which cannot be carrot, therefore is false)

II. Some onions are tomatoes → Follow (As all tomatoes are potatoes and all potatoes are onions. As whole tomatoes comes in potatoes which whole comes in onions, therefore is true)

III. All tomatoes are carrots → Does not follow (As all tomatoes are potatoes, all potatoes are onions and No onion is carrot. As whole tomatoes comes in potatoes which whole comes in onions which cannot be carrot, therefore it is false)

∴ Here, Only conclusion II follows.

Hence, the correct answer is "Option 3"

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