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 given statements.
Statements:
All Javascript is binary.
All binary is Minecraft.
All Roblox is Minecraft.
Conclusions:
I. Some Javascript is Roblox.
II. Some JavaScript is Minecraft.
III. All JavaScript is Minecraft.
Option 1: Only conclusions I and III follow
Option 2: Only conclusions I and II follow
Option 3: All conclusions follow
Option 4: Only conclusions II and III follow
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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 Javascript is Roblox – From the diagram, it is evident that there is no direct relation between Javascript and Roblox. So, this conclusion does not follow.
Conclusion (II):
Some Javascript is Minecraft – From the Venn diagram, it is evident that the circle representing Javascript lies inside the circle representing Minecraft. Since all Javascript is Minecraft, some Javascript will definitely be Minecraft.
Conclusion (III):
All Javascript is Minecraft – From the Venn diagram, it is evident that the circle representing Javascript lies inside the circle representing Minecraft. So, it can be concluded that all Javascript is Minecraft.
So, only conclusions II and III follow. Hence, the fourth option is correct.
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