Logical Reasoning
Syllogism
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#1 Statements:
All phones are laptops.
Some laptops are tablets.
Conclusions:
I. Some phones are tablets.
II. No phone is a tablet.
All phones are laptops.
Some laptops are tablets.
Conclusions:
I. Some phones are tablets.
II. No phone is a tablet.
A) Only conclusion I follows.
B) Only conclusion II follows.
C) Either I or II follows.
D) Neither I nor II follows.
#2 Statements:
Some birds are eagles.
Some eagles are crows.
Conclusions:
I. Some birds are crows.
II. No bird is a crow.
Some birds are eagles.
Some eagles are crows.
Conclusions:
I. Some birds are crows.
II. No bird is a crow.
A) Only conclusion I follows.
B) Only conclusion II follows.
C) Both I and II follow.
D) Neither I nor II follows.
#3 Statements:
All pens are pencils.
All pencils are erasers.
Conclusions:
I. Some erasers are pens.
II. No eraser is a pen.
All pens are pencils.
All pencils are erasers.
Conclusions:
I. Some erasers are pens.
II. No eraser is a pen.
A) Only conclusion I follows.
B) Only conclusion II follows.
C) Both I and II follow.
D) Neither I nor II follows.
#4 Statements:
Some apples are bananas.
No banana is a grape.
Conclusions:
I. No apple is a grape.
II. Some apples are not grapes.
Some apples are bananas.
No banana is a grape.
Conclusions:
I. No apple is a grape.
II. Some apples are not grapes.
A) Only conclusion I follows.
B) Only conclusion II follows.
C) Either I or II follows.
D) Neither I nor II follows.
#5 Statements:
No student is a teacher.
Some teachers are principals.
Conclusions:
I. Some principals are not students.
II. Some students are principals.
No student is a teacher.
Some teachers are principals.
Conclusions:
I. Some principals are not students.
II. Some students are principals.
A) Only conclusion I follows.
B) Only conclusion II follows.
C) Both I and II follow.
D) Neither I nor II follows.
#6 Statements:
All dogs are mammals.
Some mammals are cats.
Conclusions:
I. Some cats are dogs.
II. Some mammals are not dogs.
All dogs are mammals.
Some mammals are cats.
Conclusions:
I. Some cats are dogs.
II. Some mammals are not dogs.
A) Only conclusion I follows.
B) Only conclusion II follows.
C) Both I and II follow.
D) Neither I nor II follows.
#7 Statements:
Some chairs are tables.
All tables are furniture.
Conclusions:
I. Some furniture are chairs.
II. All chairs are furniture.
Some chairs are tables.
All tables are furniture.
Conclusions:
I. Some furniture are chairs.
II. All chairs are furniture.
A) Only conclusion I follows.
B) Only conclusion II follows.
C) Both I and II follow.
D) Neither I nor II follows.
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