Syllogism Test

Result

Syllogism Test - 1

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Question 1
3 / -1

Instructions (Q1 to Q10): In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.
Statements:
Some actors are singers.
All the singers are dancers.
Conclusions:
1. Some actors are dancers.
2. No singer is actor.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows
Solution
From the image:
Some actors are dancers. Yes
No singer is actor. No
Only (1) conclusion follows.
Question 2
3 / -1

Statements:
All the harmoniums are instruments.
All the instruments are flutes.
Conclusions:
(1) All the flutes are instruments.
(2) All the harmoniums are flutes.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows

Solution

Since all the harmoniums are instruments and all instruments are flutes, then flutes include instruments and harmoniums. And instruments include harmoniums.
(i) All flutes cannot be instruments, because instruments are flutes, but flutes can contain something else as well.
(ii) All the harmoniums are flutes because harmoniums are instruments and instruments are flutes.
Question 3
3 / -1

Statements:
Some mangoes are yellow.
Some tixo are mangoes.
Conclusions:
(1) Some mangoes are green.
(2) Tixo is a yellow.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows
Solution
From the image:
Some mangoes are green. No
Tixo is a yellow. maybe or may not be
Neither of the conclusions follows.
Question 4
3 / -1

Statements:
Some ants are parrots.
All the parrots are apples.
Conclusions:
1. All the apples are parrots.
2. Some ants are apples.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows
Solution
From the above Venn diagram we made some assumptions on conclusion:
All apples are parrots: False.
Some ants are apples: True.
Therefore only the second conclusion is True.
Hence the correct answer is option B.
Question 5
3 / -1

Statements:
Some papers are pens.
All the pencils are pens.
Conclusions:
1. Some pens are pencils.
2. Some pens are papers.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows
Solution
Since both premises are particular, no definite conclusion follows.
However, (1) is the converse of the second premise, while (2) is the converse of the first premise. So, both of them hold.
Question 6
3 / -1

Statements:
All the actors are girls.
All the girls are beautiful.
Conclusions:
1. All the actors are beautiful.
2. Some girls are actors.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows

Solution
Question 7
3 / -1

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

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows
Solution
Since both the premises are universal and one premise is negative, the conclusion must be universal negative.
(2) is the converse of the second premise and thus it holds.
Question 8
3 / -1

Statements:
All cups are books.
All books are shirts.
Conclusions:
1. Some cups are not shirts.
2. Some shirts are cups.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows

Solution
Question 9
3 / -1

Statements:
Some cows are crows.
Some crows are elephants.
Conclusions:
1. Some cows are elephants.
2. All crows are elephants.

A
Only (1) conclusion follows.

B
Only (2) conclusion follows.

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows.

Solution
Question 10
3 / -1

Statements:
All the pencils are pens.
All the pens are inks.
Conclusions:
1. All the pencils are inks.
2. Some inks are pencils.

A
Only (1) conclusion follows

B
Only (2) conclusion follows

C
Both (1) and (2) follow

D
Neither (1) nor (2) follows

Solution