Reasoning Questions: Syllogism Set 14

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1. All pencils are sharp.Some pencils are erasers.No erasers is a scale .
   Conclusions:
   I.All scale being pencils is a possibility.
   II.At least some pencils may be scales.
   1.if only conclusion I follows.
   2.if only conclusion II follows.
   3.if either conclusion I or conclusion II follows.
   4.if neither conclusion I nor conclusion II follows.
   5.if both conclusion I and conclusion II follow.
   
   Answer & Explanation

   Answer – 5.if both conclusion I and conclusion II follow.
   Explanation :
   No connection between scale and pencil hence possibility can exist
   From third statement only eraser cannot scale but pencil may be scale
   
   
   
2. Some numbers are digits. All digits are fractions. No fraction is a ratio
   Conclusions:
   I.All numbers are ratio
   II.Atleast some fractions are numbers
   1.if only conclusion I follows.
   2.if only conclusion II follows.
   3.if either conclusion I or conclusion II follows.
   4.if neither conclusion I nor conclusion II follows.
   5.if both conclusion I and conclusion II follow.
   
   Answer & Explanation

   Answer – 2.if only conclusion II follows.
   Explanation :
   From all the statement Some numbers are ratio – I false
   From I and II => All+some = some – II true
   
   
   
3. All metals are gold. All golds are Silver. Some Silvers are Platinum
   Conclusions:
   I.All gold being Platinum is a possibility
   II.Atleast some metals are platinum
   1.if only conclusion I follows.
   2.if only conclusion II follows.
   3.if either conclusion I or conclusion II follows.
   4.if neither conclusion I nor conclusion II follows.
   5.if both conclusion I and conclusion II follow.
   
   Answer & Explanation

   Answer – 1.if only conclusion I follows.
   Explanation :
   possibility for all exist => I true
   Some+some = no conclusion => II false
   
   
   
4. All books are files. No file is a diary. Some notes are books
   Conclusions:
   I.No book is a diary
   II.All files being notes is a possibility
   III.At least some notes are files
   1.If only I and II follow
   2.If only I and III follow
   3.If either I or III and II follow
   4.All I,II and III follow
   5.None of these
   
   Answer & Explanation

   Answer – 4.All I,II and III follow
   Explanation :
   All+no = no => I true
   I and III =>possibility exist and III true
   
   
   
5. No fruit is a leaf. All plants are leaves. Some plants are nuts
   Conclusions:
   I.All nuts being leaves is a possibility
   II.All nuts are Plants
   III.At least some leaves are plants
   1.If only I and II follow
   2.If only I and III follow
   3.If either I or III and II follow
   4.All I,II and III follow
   5.None of these
   
   Answer & Explanation

   Answer – 2.If only I and III follow
   Explanation :
   From II and III => possibility can exist.
   From III=>II false
   All plants are leaves = Some => III true
   
   
   
6. Some Cars are buses. No train is a bus. Some trains are Vans
   Conclusions:
   I.Some vans are not bus
   II.Some cars are not trains
   III.All vans are trains is a possibility
   1.If only I and II follow
   2.If only I and III follow
   3.If either I or III and II follow
   4.All I,II and III follow
   5.None of these
   
   Answer & Explanation

   Answer – 4.All I,II and III follow
   Explanation :
   From II and III => some+no = some not = I true
   From I and II => Some +no = Some not = II true
   Some trains are Vans – possibility exist = III true
   
   
   
7. Some mobiles are tabs. No PC is a tab. No keyboard is a mobile
   Conclusions:
   I.Some Tabs are not Keyboards
   II.All PCs are Keyboards
   III.No mobile is a PC
   1.If only I follow
   2.If only II follow
   3.If only III follow
   4.All I,II and III follow
   5.None of these
   
   Answer & Explanation

   Answer – 1.If only I follow
   Explanation :
   From I and III => some+no = some not => I follow
   From I,II,III => II false
   From I and II => some not => III false
   
   
   
8. All stars are moons. All moons are planets. All planets are round.
   Conclusions:
   I.All moons being stars is a possibility.
   II.All rounds are stars.
   1.If only I follow
   2.If both I and II follow
   3.If either I or II follow
   4.If Only II follow
   5.None of these
   
   Answer & Explanation

   Answer – 1.If only I follow
   Explanation :
   From I => possibility exist => I true
   From I, II and III => all stars are rounds => II false
   
   
   
9. Some students are singers. All singers are dancers. Some dancers are players
   Conclusions:
   I.No player is an student
   II.At least some dancers are students
   1.If only I follow
   2.If both I and II follow
   3.If either I or II follow
   4.If Only II follow
   5.None of these
   
   Answer & Explanation

   Answer – 4.If Only II follow
   Explanation :
   From  I,II,III => no conclusion => I false
   From I and II => Some => II true
   
   
   
10. Some festivals are days. No month is a festival. Some years are days
    Conclusions:
    I.Atleast some festivals are years
    II.Atleast some years are not months
    III.All festivals being years is a possibility
    1.If only I follow
    2.If only II follow
    3.If only III follow
    4.All I,II and III follow
    5.None of these
    
    Answer & Explanation

    Answer – 3.If only III follow
    Explanation :
    Some+some = no conclusion => I false
    From I,II,III => II false
    But possibility exist => III true