Question : Directions: Two Statements are given followed by two conclusions numbered I and II. Assuming the statement to be true, even if it seems to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All mobiles are electronic items.
Some telephones are electronic items.
Conclusions:
I. No mobile is a telephone.
II. Some mobile are telephones.
Option 1: Both conclusions I and II follow
Option 2: Only conclusion I follows
Option 3: Only conclusion II follows
Option 4: Either conclusion I nor II follows
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Correct Answer: Either conclusion I nor II follows
Solution :
The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No mobile is a telephone – It is shown in the diagram that the circles of mobiles and telephones don't overlap. As there is no definite relation is given between them. So, this conclusion doesn't follow.
Conclusion (II):
Some mobiles are telephones – It is shown in the diagram that the circles of mobiles and telephones don't overlap. As there is no definite relation is given between them. So, this conclusion doesn't follow.
But some and no make an either-or conclusion.
So, either conclusion I or II follows. Hence, the fourth option is correct.
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