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Question : Directions: 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 conclusions logically follow(s) from the statements.
Statements:
All dates are cashews.
All cashews are raisins.
Some raisins are almonds.
Conclusions:
I. All almonds are dates.
II. All dates are raisins.
III. No cashew is an almond.

Option 1: Only conclusion III follows

Option 2: Only conclusions I and II follow

Option 3: Only conclusions II and III follow

Option 4: Only conclusion II follows


Team Careers360 1st Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: Only conclusion II follows


Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): All almonds are dates – From the Venn diagram, it is evident that there is no direct relation between dates and almonds. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (II): All dates are raisins – From the Venn diagram, it is evident that the circle representing dates completely lies inside the circle representing raisins. So, from this, it can be concluded that dates are raisins. Thus, this conclusion follows.
Conclusion (III): No cashew is an almond – From the Venn diagram, it is evident that there is no direct relation between cashews and almonds. So, no definite relation can be drawn. Thus, this conclusion does not follow.

So, only conclusion II follows. Hence, the fourth option is correct.

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