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

Last updated on Jun 13, 2025

Syllogism is a very important topic of logical reasoning for any competitive exam like Banking, SSC, Railway, LIC etc. Conventional Syllogism is the topic of Syllogism. Conventional syllogism includes both statements and conclusions. The statement is assumed to be 100% true. We will draw Stament's Venn diagram. After that, according to the rules of syllogism, we will check which of the conclusion is true according to the statement, and then we will give the answer. Always remember If the statement is positive, then many diagrams can be made, but one thing that has to be kept in mind is that the statement should not be false according to the diagram.

Latest Conventional Syllogism MCQ Objective Questions

Conventional Syllogism Question 1:

Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:

No student is a teacher.

All students are children.

Some girls are students.

Conclusions:

I. Some children are not teachers.

II. Some girls are not teachers.

III. No girl is a teacher.

  1. Only conclusions I and II follow
  2. All conclusions follow
  3. Only conclusions II and III follow
  4. Only conclusions I and III follow
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : Only conclusions I and II follow

Conventional Syllogism Question 1 Detailed Solution

The pattern followed here is:

The least possible Venn diagram is shown below according to the given information.

Statements:

No student is a teacher.

All students are children.

Some girls are students.

F1 SSC Amit A 28-02-2023 D41

Conclusion:

I. Some children are not teachers → Follow → As no student is a teacher and all students are children. So some children are not teachers is definitely followed.

II. Some girls are not teachers → Follow → As no student is a teacher, all students are children and some girls are students. So some girls are not teachers is definitely followed.

III. No girl is a teacher → Does not follow → As no student is a teacher and some girls are students. No girl is a teacher is not followed because it is a possibility that some girls are teachers. So it is not followed.

So, Only conclusions I and II follow.

Hence, the correct answer is "Option 1".

Conventional Syllogism Question 2:

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:

1. All workers are honest.

2. Few of my friends are workers.

3. All my friends are honest.

Conclusion:

I. All my friends are workers.

II. All workers are my friends.

III. All my non - worker friends are honest.

  1. Only conclusion I and II follow.
  2. Only conclusion II follow.
  3. Only conclusion I and III follow.
  4. Only conclusion III follow.
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : Only conclusion III follow.

Conventional Syllogism Question 2 Detailed Solution

The possible venn diagram is as follows:

F1 Sweta 21-1-2021 Swati D8

For conclusions:

I. All my friends are workers → False (All my friends are workers is a possibility but not definite)

II. All workers are my friends → False (All workers are my friends is a possibility but not definite)

III. All my non - worker friends are honest → True (All the friends, who are not workers are honest)

Hence, Only conclusion III follow is correct.

Conventional Syllogism Question 3:

Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:

No student is a teacher.

All students are children.

Some girls are students.

Conclusions:

I. Some children are not teachers.

II. Some girls are not teachers.

III. No girl is a teacher.

  1. Only conclusions I and II follow
  2. All conclusions follow
  3. Only conclusions II and III follow
  4. Only conclusions I and III follow
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : Only conclusions I and II follow

Conventional Syllogism Question 3 Detailed Solution

The pattern followed here is:

The least possible Venn diagram is shown below according to the given information.

Statements:

No student is a teacher.

All students are children.

Some girls are students.

F1 SSC Amit A 28-02-2023 D41

Conclusion:

I. Some children are not teachers → Follow → As no student is a teacher and all students are children. So some children are not teachers is definitely followed.

II. Some girls are not teachers → Follow → As no student is a teacher, all students are children and some girls are students. So some girls are not teachers is definitely followed.

III. No girl is a teacher → Does not follow → As no student is a teacher and some girls are students. No girl is a teacher is not followed because it is a possibility that some girls are teachers. So it is not followed.

So, Only conclusions I and II follow.

Hence, the correct answer is "Option 1".

Conventional Syllogism Question 4:

Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All birds are cows.

Some cows are hens.

Some dogs are birds.

Conclusions:

I. Some dogs are hens.

II. No hens are birds.

III. Some cows are dogs.

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

Answer (Detailed Solution Below)

Option 4 : Only conclusion III follows

Conventional Syllogism Question 4 Detailed Solution

Given Statements:

All birds are cows.

Some cows are hens.

Some dogs are birds.

The least possible Venn diagram for the given statement is:

F1 SSC Savita 06-10-23 D41

Conclusions:

I. Some dogs are hens - False (Because, No definite relation given between dogs and hens, so it can be possible only).

II. No hens are birds - False (Because, No definite relation given between hens and birds, so it can be possible only).

III. Some cows are dogs - True (Because, Those parts of cows that is birds will also be dogs).

So, Only conclusion III follows.

Hence, the correct answer is "Option 4".

Conventional Syllogism Question 5:

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 vegetables are foods.

Some foods are drinks.

Conclusions:

I. Some drinks are foods.

II. Some vegetables are drinks.

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

Answer (Detailed Solution Below)

Option 4 : Only conclusion I follows 

Conventional Syllogism Question 5 Detailed Solution

The least possible Venn diagram is:
F2 Savita SSC 12-10-22 D48

Conclusions:

I. Some drinks are foods. → Follows (As, Some foods are drinks)

II. Some vegetables are drinks. → Do not follow (As, there is no definite relation between vegetables and drinks. Hence, false)

Hence, Only conclusion I follows.

Top Conventional Syllogism MCQ Objective Questions

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 

Conventional Syllogism Question 6 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:

F1 SSC Arbaz 05-07-2023 D12

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.

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

Conventional Syllogism Question 7 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:

F4 Savita SSC 26-4-23 D15

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".

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

Conventional Syllogism Question 8 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:

F2 SSC Amit A 26-02-2023 D22

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.

Conventional Syllogism Question 9 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

F3 Savita SSC 7-9-22 D1 V2

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

Conventional Syllogism Question 10 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:

school

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

Conventional Syllogism Question 11 Detailed Solution

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

Banking Sonal 6 July 2020 20 Q HInRev Manoj.docx 8

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.

Conventional Syllogism Question 12 Detailed Solution

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The least possible Venn diagram is:          

F1 Chitranshi Madhu 07.10.21 D10

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.

Statements:

Only a few books are reasoning.

Most reasoning are concept.

Only concept are clear.

Conclusion I: Few reasoning are clear.

Conclusion II: Mostly concepts are reasoning.

  1. Either of I and II follow
  2. Only I follow
  3. Neither of them follows
  4. Only II follow 
  5. Both I and II follow

Answer (Detailed Solution Below)

Option 4 : Only II follow 

Conventional Syllogism Question 13 Detailed Solution

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

syllogism Antesh Created 17july20 5Q.docx 2

Important point

Most, mostly, at least, many, more, much, almost etc. comes under < 100% but > 0, It means it consider as “Some” cases.

Each, every, any etc. comes under = 100%, means it will be consider as “All” cases.

Never, not, none etc. comes under = 0% means it will be consider as “No” cases.

Misteke point 1

Aspirants always do mistake in “only” type of syllogism.

“Only B are A” is always considered as “All A are B”. In the “only” case one more thing that whole or partially part of A can never be part of anyone else except B.

Conclusion I: Few reasoning are clear → Clear is only be part of concept so it could not be part of reasoning, Hence Conclusion I is false.

Conclusion II: Mostly concepts are reasoning → mostly refers to some so, it is clear that some concepts are reasoning. Hence Conclusion II is true.

Hence, only 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:

All polygons are angles.

All angles are diagonals.

All cones are cubes.

All cubes are decagons.

No diagonal is a cube.

Conclusions:

I. Some diagonals are polygons.

II. All diagonals are decagons.

III. No polygon is a cone.

IV. Some cubes are angles.

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

Answer (Detailed Solution Below)

Option 1 : Both conclusions I and III follow

Conventional Syllogism Question 14 Detailed Solution

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The least possible Venn diagram is:          

  F1 Puja Ravi 21.10.21 D9 

Conclusions:

I. Some diagonals are polygons. → True (As All polygons are angles and All angles are diagonals → Some diagonals are polygons)

II. All diagonals are decagons. → False (As, there is no definite relation between diagonals and decagons. Hence, false)

III. No polygon is a cone. → True (As All polygons are angles, All angles are diagonals, All cones are cubes and No diagonal is a cube → No polygon is a cone)

IV. Some cubes are angles. → False (As All angles are diagonals and No diagonal is a cube → No cubes are angles)

Hence, both conclusions I and III follow.

Additional Information

Three statements are given, followed by three conclusions numbered I, II and III, Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All apples are bananas. 

All grapes are bananas.

All bananas are nuts.

Conclusion:

I. All apples are nuts.

II. All grapes are nuts.

III. No nuts are bananas.

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

Answer (Detailed Solution Below)

Option 3 : Only conclusions I and II follow

Conventional Syllogism Question 15 Detailed Solution

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

F2 Savita SSC 23-8-22 D1

Conclusion:

I. All apples are nuts. → True (as all apples are bananas and all bananas are nuts)

II. All grapes are nuts. → True (as all grapes are bananas and all bananas are nuts)

III. No nuts are bananas. → False (as all bananas are nuts; some nuts will definitely be bananas)

Hence, only conclusions (I) and (II) follow.

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