Question : Directions: Two statements are given followed by two conclusions numbered I and II. 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 chairs are desks. All desks are table. Conclusions: L. Some tables are chairs. II. All tables are desks.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Both conclusions I and II follow
Option 4: Only conclusion II follows
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Correct Answer: Only conclusion I follows
Solution : Given: According to the given statements venn diagram is given below –
Let's analyse the conclusions – Conclusion (I): Some tables are chairs – From the Venn diagram, it is evident that some parts of the circle representing tables lie inside the circle representing chairs while some lie outside. Thus, it can be concluded that some tables are chairs. Conclusion (II): All tables are desks – From the Venn diagram, it is evident that some parts of the circle representing tables lie inside the circle representing desks while some lie outside. Thus, this conclusion does not follow.
So, the only conclusion I follows. Hence, the first option is correct.
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Question : Directions: Two Statements are given followed by two conclusions numbered I and II. 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 tables are strong No strong is weak. Conclusions: I. No table is weak. II. Some weak are tables.
Option 1: Neither conclusion I nor II follows
Option 2: Only conclusion II follows
Option 4: Only conclusion I follows
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Option 1: Only conclusion II follows
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Option 3: Only conclusion I follows
Option 4: Neither conclusion I nor II follows
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Option 3: Both conclusions follow
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