Syllogism MCQ Quiz - Objective Question with Answer for Syllogism - Download Free PDF

Last updated on Jul 2, 2025

Latest Syllogism MCQ Objective Questions

Syllogism Question 1:

Direction: In each question below, there are three statements followed by two conclusions numbered I and II. Assume the statements are true, even if they seem to contradict known facts. Read both conclusions and decide which one(s) logically follow based only on the statements.

Statements:

All doubts are thoughts.

No thought is an eternal.

Maximum beliefs are thoughts.

Conclusions:

I. No doubt is eternal.

II. Some beliefs are doubts.

  1. Only I follows
  2. Only II follows
  3. Both I and II follows
  4. Either I or II follow
  5. Neither I nor II follow

Answer (Detailed Solution Below)

Option 1 : Only I follows

Syllogism Question 1 Detailed Solution

The least possible Venn Diagram for the given statements will be as follows,

I. No doubt is eternal → Ture (since no thought is an eternal and all doubts are thoughts).

II. Some beliefs are doubts False (Because there is no direct relation given between beliefs and doubts, hence, false).

Hence, only I follow.

Syllogism Question 2:

Direction: In each question below, there are three statements followed by two conclusions numbered I and II. Assume the statements are true, even if they seem to contradict known facts. Read both conclusions and decide which one(s) logically follow based only on the statements.

Statements:

Only books is digital.

Only a few books is permanent.

All papers are permanent.

Conclusions:

I. Some books are papers.

II. All digital being papers is a possibility.

  1. Only I follows
  2. Only II follows
  3. Both I and II follows
  4. Either I or II follow
  5. Neither I nor II follow

Answer (Detailed Solution Below)

Option 5 : Neither I nor II follow

Syllogism Question 2 Detailed Solution

The least possible Venn Diagram for the given statements will be as follows,

                               

I. Some books are papers → False (Because there is no direct relation given between books and papers, hence, false).

II. All digital being papers is a possibility → False (As it is given that only books is Cooler. That is why, All or some digital cannot be papers. Hence, false).

Hence, Neither I nor II follows.

Syllogism Question 3:

Direction: In each question below, there are three statements followed by two conclusions numbered I and II. Assume the statements are true, even if they seem to contradict known facts. Read both conclusions and decide which one(s) logically follow based only on the statements.

Statements:

All gamers are logical people.

Only a few logical people are coders.

No coder is a procrastinator.

Conclusions:

I. Some gamers are not procrastinators.

II. All coders being gamers is a possibility. 

  1. Only I follows
  2. Only II follows
  3. Both I and II follows
  4. Either I or II follow
  5. Neither I nor II follow

Answer (Detailed Solution Below)

Option 2 : Only II follows

Syllogism Question 3 Detailed Solution

The least possible Venn Diagram for the given statements will be as follows,

                               

I. Some gamers are not procrastinators → False (There is no direct relation given between gamers and procrastinators so it can be possible but not definite, hence, false).

II. All coders being gamers is a possibility → True (It is given that only a few logical people are coders but with this information, we cannot say that some coders being gamers. So, All coders being gamers is a possibility)

Another possible Venn diagram:

Hence, Only II follows.

Syllogism Question 4:

irection: In each question below, there are three statements followed by two conclusions numbered I and II. Assume the statements are true, even if they seem to contradict known facts. Read both conclusions and decide which one(s) logically follow based only on the statements.

Statements:

Only a few engineers are designers.

No designer is a chef.

All chefs are professional.

Conclusions:

I. Some engineers are not professionals.

II. Some designers are not professionals.

  1. Only I follows
  2. Only II follows
  3. Both I and II follows
  4. Either I or II follow
  5. Neither I nor II follow

Answer (Detailed Solution Below)

Option 5 : Neither I nor II follow

Syllogism Question 4 Detailed Solution

The least possible Venn Diagram for the given statements will be as follows,

I. Some engineers are not professionals → False (There is no direct relation given between engineers and professional so it can be possible but not definite, hence, false).

II. Some designers are not professionals False (There is no direct relation given between designers and professional so it can be possible but not definite, hence, false).

Hence, neither I nor II follows. 

Syllogism Question 5:

Select the option that is true about the Statements and Conclusions given: 

Statements:

Some cats are dogs

No dog is black

Conclusions:

I. Some cats are black

II. Some cats are not black

  1. Either conclusion I or II follows
  2. only conclusion I follows
  3. only conclusion II follows
  4. neither conclusion I nor conclusion II follows 
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : only conclusion II follows

Syllogism Question 5 Detailed Solution

The best possible Venn diagram is shown below -

 Conclusions :

1. Some cats are black → False (It is possible but not definite)

2. Some cats are not black → True ( Part of the cat which are dog are definitely not black.)

Hence, 'only conclusion II follows' is the correct answer.

Top Syllogism MCQ Objective Questions

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

I. All T are N.

II. No M is N.

Conclusions:

I. All T are M.

II. Some T are not M.

  1. Both conclusions I and II follow 
  2. Only conclusion I follows 
  3. None of the conclusions follow
  4. Only conclusion II follows

Answer (Detailed Solution Below)

Option 4 : Only conclusion II follows

Syllogism Question 6 Detailed Solution

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Explanation :

The Venn diagram is

I. All T are M  Does not follow (As it is given in the statement that No M is N and all T are N, Hence T can never be M)

II. Some T are not M  Follow (As all T are N and No N is M. Hence T which are N will never be M.)

Hence, Only conclusion II follows is the correct answer.

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

I. All bottle is plastic

II. Some bags are plastic

Conclusions:

I. Some bags are not bottle

II. Some plastic are not bags

  1. Only conclusion I follows
  2. Only conclusion II follows
  3. None follows
  4. All Follows 

Answer (Detailed Solution Below)

Option 3 : None follows

Syllogism Question 7 Detailed Solution

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Concept:

1) We have to check the conclusions are 100% match with the statement. If the conclusion is 100% match with the given statement then the conclusion is true. If there is a 1% chance of not following the statement then the conclusion is considered to be false.

2) The possibility case can be considered to be "false" in "definite case".

3) In Possibility case, either "can" or "possible" word must be present.

The least possible Venn diagram for the given statements is as follows:

Conclusions:

I. Some bags are not bottle → False (There is no direct relation given between bottle and bags so it can be possible but not definite, hence, false)

II. Some plastic are not bags → False (As "Some bags are plastic" given so some plastic can be bags it can be possible but some plastic are not bags it is not definite, hence, false)

Hence, the correct answer is "None follows".

Additional Information

Note: The answer here will not be “Neither conclusion I nor II follows”.

Don’t get confused as in the “neither-nor case” the subject and predicate in both the conclusions must be the same.

 

In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. All Z are D.

II. No Y is Z.

Conclusion:

I. Some D are not Y.

II. Some Z are not Y.

III. Some D are Z.

  1. All conclusion follows
  2. Both conclusions I and II follows
  3. Only conclusion 1 follows
  4. Both conclusions II and III follows

Answer (Detailed Solution Below)

Option 1 : All conclusion follows

Syllogism Question 8 Detailed Solution

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Statements:

I. All Z are D.

II. No Y is Z.

The least possible diagram for the given statements is as follows:

Conclusion:

I. Some D are not Y - True (Because All Z are D, so those part of D that is Z will be definitely not Y).

II. Some Z are not Y - True (No Y is Z, so some Z are not Y is also true).

III. Some D are Z - True (All Z are D so Some D are also Z).

Here, All conclusion follows.

Hence, the correct answer is "Option 1".

In the following question below are given some statements followed by some conclusions based on those statements Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. All Z are Y.

II. Some Y are B.

Conclusion:

I. Some B are not Z.

II. Some Y are not Z.

III. Some Z are Y. 

  1. Both conclusions II and III follows 
  2. Both conclusions I and III follows  
  3. Only conclusion III follows 
  4. All conclusion follows 

Answer (Detailed Solution Below)

Option 3 : Only conclusion III follows 

Syllogism Question 9 Detailed Solution

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Given Statements:

I. All Z are Y.

II. Some Y are B.

The least possible Venn diagram for the given statement is:

Conclusions:

Conclusion I: False ("Some B are not Z" is not true because there is no negative relation between B and Z. It may be possible but not definitely true. In syllogism, we take the definite cases as true. So this conclusion not follow.)

Conclusion II: False ("Some Y are not Z" is not true because there is no negative relation between Y and Z. It may be possible but not definitely true. So, this conclusion also not follow.)

Conclusion III: True ("Some Z are Y" is true because when all Z are Y is given then "some Z are Y" is also true. Please note that "some" is a subset of "all". For example, when all boys are male, then "some boys are male" is also true.) 

So, Only conclusion III follows.

Hence, the correct answer is "Option 3".

Mistake PointsNegative Conclusions will never be definitely true when a given statement is positive.
Here, Conclusion I & II is negative, so it will be true in possibility only.

statements is true, even if they appear to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements beyond reasonable doubt.

Statements:

No cat is a monkey.

No monkey is a cow.

Conclusions:

I. No cat is a cow.

II. Some cows are monkeys.

  1. Only conclusion I follows.
  2. Only conclusion II follows.
  3. Neither conclusion I nor conclusion II follows.
  4. Both conclusions I and II follow.

Answer (Detailed Solution Below)

Option 3 : Neither conclusion I nor conclusion II follows.

Syllogism Question 10 Detailed Solution

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The least possible Venn diagram is,

Conclusion I: No cat is a cow → False (This is possible but not definite)

Conclusion II: Some cows are monkeys → False (This is definitely false)

Hence, “neither conclusion I nor conclusion II” follows.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

I. No B is A.

II. No C is B.

Conclusions:

I. No C is A.

II. No A is B.

III. Some B are not C.

  1. Both conclusions I and II follows
  2. Only conclusion III follows
  3. Both conclusions II and III follows
  4. None of the conclusions follow

Answer (Detailed Solution Below)

Option 3 : Both conclusions II and III follows

Syllogism Question 11 Detailed Solution

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Statement:

I. No B is A.

II. No C is B.

The least possible diagram for the given statements is as follows:

Conclusions:

(i) No C is A - False (Because No definite relation given between C and A, so it can be possible only).

(ii) No A is B - True (No B is A, so no A is B also follow).

(iii) Some B are not C - True (No C is B, so Some B is not C)

Here, Both conclusions II and III follows.

Hence, the correct answer is "Option 3".

Mistake PointsNo C is B implies that Some C are not B or Some B are not C.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

All flowers are beautiful.

Vaidehi is beautiful.

Conclusions:

I. Vaidehi is a flower.

II. Some beautiful are flowers. 

  1. Only conclusion I follows.
  2. Only conclusion II follows.
  3. Both the conclusions follow.
  4. Either conclusion I or II follows.

Answer (Detailed Solution Below)

Option 2 : Only conclusion II follows.

Syllogism Question 12 Detailed Solution

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Statements:

All flowers are beautiful.

Vaidehi is beautiful.

The least possible diagram for the given statements is as follows

Conclusions:

I. Vaidehi is a flower → False (No direct relationship given between Vaidehi and flower, so it may be possible but not defined)

II. Some beautiful are flowers → True (because all flowers are beautiful, so some beautiful are also flowers)

Hence, Only conclusion II follows".

Direction: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statement:

Some schools are houses.

Some colleges are schools.

Conclusion:

I. Some colleges are houses.

II. Some colleges are not houses.

  1. Only I follows
  2. Only II follows
  3. Either I or II follows
  4. Neither I nor II follows
  5. Both I and II follow

Answer (Detailed Solution Below)

Option 4 : Neither I nor II follows

Syllogism Question 13 Detailed Solution

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All + No and Some + Some not are not complementary pairs.

In case of Some + Some not, the following condition is not fulfilled:

The term Either or denotes that if one condition is true then the second condition is would be automatically false. 

But in case of Some and some not, both the conditions can be true at a time. 

Conditions of Either-or case:

1. The elements should be the same in both the statements.

2. Both the conclusions should be false individually.

3. One conclusion should be positive and one conclusion should be negative (Complementary pair).

The two complementary pairs are:

1) All + Some not

2) No + Some

The least possible diagram for the given statements is as follows:

Conclusions:

I. Some colleges are houses → False (There is no direct relation given between colleges and houses so it can be possible but not definite, hence, false)

II. Some colleges are not houses → False (There is no direct relation given between colleges and houses so it can be possible but not definite, hence, false)

Hence, the correct answer is "Neither I nor II follows"

Directions: In the question below are given three statements followed by two conclusions I, II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

No chair is a table.

No table is a bench.

Only a few benches are wood.

Conclusions:

I. Some wood being chair is a possibility.

II. Some wood is not a table.

  1. Only I follows
  2. Only II follows
  3. Either I or II follows
  4. Both I and II follow
  5. None follows

Answer (Detailed Solution Below)

Option 4 : Both I and II follow

Syllogism Question 14 Detailed Solution

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The least possible Venn diagram for the given statements is as follows:

I. Some wood being chair is a possibility → True (as there is no definite relation between Wood and Chair so, the possibility is true.)

II. Some wood is not a table → True (as no table is bench and only a few benches are wood so, the part of wood which is bench is not table)

Hence, both I and II follow.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.

Statements:

1. All plumbers are men.

2. Some men are electricians.

3. No electrician is a cook.

Conclusions:

1. Some plumbers are cooks.

2. Some plumbers are not cooks.

3. Some men are not cooks. 

  1. None of the conclusions follows.
  2. Only conclusions 2 and 3 follow 
  3. Only conclusion 3 follows.
  4. Only conclusions 1 and 2 follow 

Answer (Detailed Solution Below)

Option 3 : Only conclusion 3 follows.

Syllogism Question 15 Detailed Solution

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The least possible Venn diagram is:          

Conclusions:

1. Some plumbers are cooks. → False (As, there is no definite relation between plumbers and cooks. Hence, false)

2. Some plumbers are not cooks. → False (As, there is no definite relation between plumbers and cooks. Hence, false)

3. Some men are not cooks. → True (As, Some men are electricians and No electrician is a cook → Some men who are electricians are not cooks)

Hence, only conclusion 3 follows.

Confusion Points 1. When There is no relation given between the two elements, in that case, we cannot define their relation so here between a plumber and cook we cannot define relation so it will not follow here.

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