Direction: In this question, three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusion(s) logically follows/follow from the statements.
Statements:
Some carrots are onions.
All onions are potatoes.
All potatoes are radish.
Conclusions:
I. Some carrots are radish.
II. All onions are radish.
III. No carrot is a potato.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Both conclusions I and II follow.
The least possible Venn diagram iis as follows:
Conclusions:
I. Some carrots are radish. - Follows (because Some carrots are onions, All onions are potatoes and All potatoes are radish. So, Some carrots are radish too)
II. All onions are radish. - Follows (because All onions are potatoes and All potatoes are radish. So, All onions are radish too)
III. No carrot is a potato. - Does not follow (because Some carrots are onions, All onions are potatoes. So, it cannot be possible.