Directions
In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
Only a few Earphones are Headset.
Some Headset are Backpack.
Conclusions:
I. All Headset are Earphones.
II. No Backpack is Headset.
- AOption (a)
Only I follow
- BOption (b)
Only II follow
- COption (c)
Both I and II follow
- DOption (d)
Either I or II follows
- EOption (e)
Neither I nor II follows
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Correct answer
Neither I nor II follows
Why this answer is correct
The least possible Venn diagram for the given statements is as follows:
Conclusions:
I. All Headset are Earphones → False (As only a few Earphones are Headset, some Headset are already Earphones but another portion of Headset is Earphones or not is possible but not definite, So it is false).
II. No Backpack is Headset → False (As some Headset are Backpack, some portion of Headset is already Backpack so No Backpack is Headset will be false).
Hence, Neither I nor II follows.