# Reasoning Questions: Syllogism Set 28

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Bank PO Level Questions :-

1. Statements
No juice is a milk. All milk is coffee. Some milk is tea
Conclusions:
I.All tea being coffee is a possibility
II.Some coffee is not milk
III.At least some coffee are definitely not Juice
1.Only I follow
2.Only I and II follow
3.Only I and III follow
4.All I, II, III follow
5.None of these
Answer – 3.Only I and III follow
Explanation :
No negative statement between Tea and coffee, so possibility should be true
All milk is coffee => Some coffee is not milk => false
From I and II => some coffee are not Juice => true
2. Statements:
Some apples are orange. No mango is an apple. Some Grapes are apples
Conclusions:
I.All apples are not mangoes
II.All orange being grapes is a possibility
III.Some grapes are not  mangoes
1.Only I follow
2.Only I and II follow
3.Only I and III follow
4.All I, II, III follow
5.None of these
Answer – 4.All I, II, III follow
Explanation :
No mango is an apple => All apples are not mangoes => true
From I and III => Some oranges are grapes so possibility is true
From I and III=> Some oranges are grapes => Some grapes are not  mangoes => true
3. Statements:
All glasses are cups. Some spoons are plate. No plate is a glass
Conclusions:
I.No cup is a plate
II.No glass is a plate
III.Some Spoons are not cups
1.Only I follow
2.Only II follow
3.Only I and III follow
4.All I, II, III follow
5.None of these
Explanation :
From I and III => Some plates are not cups => No cup is a plate => false
No plate is a glass => No glass is a plate => true
From II and III => Some glasses are not Spoons  and All glasses are cups
Some not + all => no conclusion so III false
4. Statements:
All cats are dogs. Some mice are dogs.All rats are cats
Conclusions:
I.At least some dogs are rats
II.All rat being mice is a possibility
III.At least some cats are mice
1.Only I and III follow
2.Only II and III follow
3.Only I and II follow
4.All I, II and III follow
5.None of these
Answer – 3.Only I and II follow
Explanation :
From I and II => All+All = All => All rats are cats => some dogs are rats => true
II => no negative statement between rate and mice hence possibility is true
III=> From I and II => All +some => no conclusion => false
5. Statements:
No month is a year. All months are weeks. No week is a day
Conclusions:
I.No day is a month
II.At least some weeks are not year
III.Some weeks are months
1.Only I follow
2.Only III follow
3.Only II and III follow
4.Only I and II follow
5.All I, II and III follow
Answer – 5.All I, II and III follow
Explanation :
From II and III =>All+ No = No => I true
No month is a year => No year is a month and All months are weeks=> No + all => some not => true
All months are weeks => Some weeks are months => true
6. Statements:
No plant is a tree. All trees are roots. Some branches are roots
Conclusions:
I.All roots being plants is a possibility
II.Some roots are definitely trees
III.At least some branches are definitely not trees
1.Only I follow
2.Only II follow
3.Only II and III follow
4.Only I and II follow
5.All I, II and III follow
5.None of these
Explanation :
I: No+all => some not =>Possibility not exist because of negative statement
II: All trees are roots => Some roots are trees => true
III: From II and III => All+some => No conclusion => false
7. Statements:
Some halls are classes. No class is the school.All schools are colleges
Conclusions:
I.Some halls are not schools
II.Atleast some schools are classes
III.All colleges being school is a possibility
1.Only I and III follow
2.Only II and III follow
3.Either I or II and III follow
4.All I, II and III follow
5.None of these
Answer – 1.Only I and III follow
Explanation :
I: From I and II => Some+ No => some not => true
II: No class is the school => False
III: All schools are colleges => possibility exists => true
8. Statements:
All pens are pins. No tag is a pin. All papers are pens
Conclusions:
I.No pin is a tag
II.All papers are pins
III.All pins are definitely not tag
1.Only I follow
2.Only II follow
3.Only II and III follow
4.All I, II and III follow
5.None of these
Answer – 4.All I, II and III follow
Explanation :
I: from II => No tag is a pin => No pin is a tag
II: All+ All = All  from I and III => true
III: From II =>  All pins are definitely not tag => true
9. Statements:
Some chairs are tables. No table is a bench. All chairs are Sofas
Conclusions:
I.All sofas are definitely tables
II.At least some sofas are chairs
III.At least some benches are sofa
1.Only I follow
2.Only III follow
3.Only II follow
4.All I, II and III follow
5.None of these
Explanation :
I: From I and III => Some+All => All=> false
II:From  III => All chairs are Sofas => Some Sofas are chairs => true
III: From I and III => Some sofas are tables + II => Some + No => some not => false
10. Statements:
Some chairs are tables. No table is a bench. All chairs are Sofas
Conclusions:
I.Some tables are chairs
II.All sofas are tables is a possibility
III.No table is a sofa
1.Only I and III follow
2.Only II and III follow
3.All I,II and III follow
4.Only  I and II follow
5.None of these