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 3: Both conclusions I and II follow
Option 4: Only conclusion I follows
Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statement is as follows –
Let's analyse the conclusions –
Conclusion (I):
No table is weak – From the Venn diagram, it is evident that all tables are strong and no strong is weak. So, from this, it can be concluded that no tables are weak. Thus, this conclusion follows.
Conclusion (II):
Some weak are tables – From the Venn diagram, it is evident that all tables are strong and no strong is weak. So, from this, it can be concluded that no tables are weak and no weak is a table. Thus, this conclusion does not follow.
So, only the conclusion I follows. Hence, the fourth option is correct.
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