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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:
Some seeds are fruits.
Some fruits are jams.
All jams are desserts.
Conclusions:
I. Some jams are seeds.
II. Some desserts are jams.
III. Some fruits are desserts.

Option 1: All conclusions follow

Option 2: Only conclusions II and III follow

Option 3: Only conclusions I and III follow

Option 4: Only conclusions I and II follow


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: Only conclusions II and III follow


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

Let's analyse the conclusions –
Conclusion I: Some jams are seeds – From, the above diagram, it is evident that there is no direct relation between jams and seeds. So, no definite relation can be drawn from it. Thus, this conclusion does not follow.
Conclusion II: Some desserts are jams – From the Venn diagram, it is evident that some parts of the circle representing desserts lie inside the circle representing jams while some lie outside. So, from this, it can be concluded that some desserts are jams. Thus, this conclusion follows.
Conclusion III: Some fruits are desserts – From the Venn diagram, it is evident that the circles representing fruits and desserts overlap and have a part of their areas in common. So, from this, it can be concluded that some fruits are jams. Thus, this conclusion follows.

Therefore, only conclusions II and III follow. Hence, the second option is correct.

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