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

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