Free Syllogisms - 01 Practice Test - CAT 

Question 1

`Statements: All cars are cats. All fans are cats.
Conclusions:
A. All cars are fans.
B. Some fans are cars.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : D

Option D

Explanation:

All cars are cats.

All fans are cats.

Possible conclusions:

1.      No cars are fans.

2.      No fans are cars.

Both the conclusions (A) and (B) cannot be deduced from the given premises. Hence answer option (D) is the correct answer choice.
                                                        (OR)

Question 2

Statements: All buildings are chalks. No chalk is toffee.
Conclusions:
A. No building is toffee
B. All chalks are buildings

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : A

Option A

Explanation:

All buildings are chalks.

No chalk is a  toffee.

Possible Conclusions:

1.      No building is a toffee.

2.      No toffee is a building.

From the above mentioned conclusions, it is evident that answer option (A) is the correct answer choice.
                                                                  (OR)

Question 3

Statements: All trucks are flies. Some scooters are flies.
Conclusions:
A. All the trucks are scooters.
B. Some scooters are trucks.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : D

Option D

Explanation:

All the  trucks are flies.

Some scooters are flies.

Since the middle term is not distributed in any of the premises, no possible conclusion can be deduced. Hence, answer option (D) is the correct answer choice.
                                                           (OR)

Question 4

Statements: Some dogs are bats. Some bats are cats.
Conclusions:
A Some dogs are cats.
B All bats are cats and dogs.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : D

Option D

Explanation:

Some  dogs are   bats.

Some  bats are  cats.

Since both the premises are particular - that is they begin with "some", no possible conclusion can be deduced. Thus answer option (D) is the correct answer choice.
                                                        (OR)

Question 5

Statements: All the pencils are pens. All the pens are inks.
Conclusions:
A. All the pencils are inks.
B. Some inks are pencils.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : E

Option E

Explanation:

All the pencils are pens.

All the  pens are  inks.

Possible Conclusions:

1.      All the pencils are inks.

2.      Some inks are not pencils.

3.      Some inks are pencils (least preferred answer choice formed by replacing the tick mark in the first premise with cross mark)

Since both conclusions (A) and (B) hold true, answer option (E) is the correct answer choice.
                                              (OR)

Question 6

Statements: Some cows are crows. Some crows are elephants.
Conclusions:
A. Some cows are elephants.
B. All crows are elephants.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : D

Option D

Explanation:

Some  cows are crows.

Some  crows are  elephants.

Possible conclusions:

Since the middle term is not distributed in both the premises, no conclusion can be framed. Secondly, if both the premises begin with "Some" no conclusion can be reached. 
Thus answer option (D) is the correct answer choice.
                                                              (OR)

Question 7

 Statements: All cups are books. All books are shirts.
Conclusions:
A. Some cups are not shirts.
B. Some shirts are cups.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : B

Option B

Explanation:

All  cups are  books.

All  books are  shirts.

Possible Conclusions:

1.      All cups are shirts.

2.      Some shirts are not cups.

3.      Some shirts are cups.

Thus answer option (B) is the correct answer choice.
                                             (OR)

Question 8

Statements: All the windows are doors. No door is a wall.
Conclusions:
A. Some windows are walls.
B. No wall is a door.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : B

Option B

Explanation:

All the  windows are  doors.

No door is a wall.

Possible conclusions:

1.      No window is a wall.

2.      No wall is a window.

The above mentioned conclusions do not match either conclusion (A) or (B). However, conclusion (B) is same as the second premise and hence it holds true. Thus answer option (B) is the correct answer choice.
                                                               (OR)
 

Question 9

Statements: All the flowers are leaves. Some leaves are birds.
Conclusions:
A. Some birds are flowers.
B. Some leaves are flowers.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : B

Option B

Explanation:

All the  flowers are  leaves.

Some leaves are  birds.

Possible Conclusions:

Since the middle term is not distributed in both the premises, there is no possible conclusion which does not include the middle term. However, the second premise has just been rephrased to form the conclusion (B), making it hold true.

Thus answer option (B) is the correct answer choice.
                                                      (OR)

Question 10

Statements: All the actors are girls. All the girls are beautiful.
Conclusions:
A. All the actors are beautiful.
B. Some girls are actors.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : E

Option E

Explanation:

1.      All the actors are  girls.

2.      All the girls are  beautiful.

Possible Conclusions:

1.      All the actors are beautiful.

Both the conclusions hold true. The second premise has just been rephrased to form the second solution. Thus answer option (E) is the correct answer choice.

                                                              (OR)

Question 11

Statements: Some papers are pens. All the pencils are pens.
Conclusions:
A. Some pens are pencils.
B. Some pens are papers.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : E

Option E

Explanation:

1.      Some papers are  pens.

2.      All the  pencils are   pens.

Since the middle term is not distributed, there is no possible conclusion which does not involve the middle term.

However, both the conclusions mentioned in the question are just the original premise being rephrased. So, both of them hold true, thus making answer option (E), the correct answer choice.

                                                              (OR)

Question 12

Statements: Some hens are cows. All the cows are horses.
Conclusions
A. Some horses are hens.
B. Some hens are horses.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : E

Option E

Explanation:

1.      Some  hens are cows.

2.      All the  cows are horses.

Possible Conclusions:

1.      Some hens are horses.

2.      Some horses are hens.

Since both the conclusions hold true, option (E) is the correct answer choice.
                                                         (OR)
 

Question 13

Statements: Some pearls are jewels. Some jewels are ornaments.
Conclusions:
A.Some jewels are pearls.
B. Some ornaments are jewels.

A. A
B. B
C. C
D. D
E. E

SOLUTION

Solution : E

Option E

Explanation:

Some  pearls are jewels.

Some  jewels are ornaments.

Since both the premises are particular. No conclusion can be drawn.

However, as we see in the conclusions, they are just formed by rephrasing the premise themselves.

So both conclusions (A) and (B) hold true. Thus answer option (E) is the correct answer choice.

                                                              (OR)

Question 14

Statements: Some ants are parrots. All the parrots are apples.
Conclusions:
A. All the apples are parrots.
B. Some ants are apples.

A. A
B. B
C. C
D. D

SOLUTION

Solution : B

Option B

Explanation:

1.      Some  ants are  parrots.

2.      All the   parrots are  apples.

Possible conclusions:

1.      Some ants are apples.

2.      Some apples are ants.

Thus it is evident that answer option (B) is the correct answer choice because only conclusion (B) holds true.

                                                         (OR)

Question 15

Statements: Some mangoes are yellow. Some tixo are mangoes.
Conclusions:
A. Some mangoes are green.
B. Some Tixo is yellow.

A. A
B. B
C. C
D. D

SOLUTION

Solution : D

Option D

Explanation:

1.      Some  mangoes are yellow.

2.      Some  tixo are mangoes.

Since both the premises are particular, no conclusion can be drawn. Hence answer option (D) is the right answer choice.            
                                                                       (OR)

Question 16

 Statements: All the poets are goats. Some goats are trees.
Conclusions:
A. Some poets are trees. 
B. Some trees are goats.

A. A
B. B
C. C
D. D

SOLUTION

Solution : B

Option B

Explanation:

All  the poets are  goats.

Some  goats are  trees.

Possible Solutions:

1.      All the poets are trees.

2.      Some trees are poets.

3.      Some trees are goats.

As we can see, only conclusion (B) holds true. Thus answer option (B) is the correct answer choice.
                                                    (OR)

Question 17

Statements: All the harmoniums are instruments. All the instruments are flutes.
Conclusions:
A.All the flutes are instruments. 
B.All the harmoniums are flutes. 

A. A
B. B
C. C
D. D

SOLUTION

Solution : B

Option B 

All  the harmoniums are   instruments.

All  the  instruments are   flutes.

 

So the possible solutions are:

1.      All the harmoniums are flutes.

2.      Some flutes are not harmoniums.  

Hence only conclusion (B) is correct thus making answer option (B) the correct answer choice.
                                                   (OR)

Question 18

Statements: Some actors are singers. All the singers are dancers.
Conclusions: 
A. Some actors are dancers.  
B. No singer is actor.

A. A
B. B
C. C
D. D

SOLUTION

Solution : A

Option. A

1.      Some actors are  singers.
 
2.      All the  singers are  dancers.
 
Possible Conclusions:
 
  1. Some actors are dancers.
  2. Some dancers are singers.
Hence only conclusion (A) is correct thus making answer choice (A), the right answer choice.
                                           
                                                                (OR)