Conventional Syllogism MCQ Quiz - Objective Question with Answer for Conventional Syllogism - Download Free PDF
Last updated on Jun 13, 2025
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.
Answer (Detailed Solution Below)
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.
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 2 Detailed Solution
The possible venn diagram is as follows:
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.
Answer (Detailed Solution Below)
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.
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.
Answer (Detailed Solution Below)
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:
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 5 Detailed Solution
The least possible Venn diagram is:
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 6 Detailed Solution
Download Solution PDFGiven 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.
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 7 Detailed Solution
Download Solution PDFStatements:
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".
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 8 Detailed Solution
Download Solution PDFStatement:
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 9 Detailed Solution
Download Solution PDFStatements:
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.Answer (Detailed Solution Below)
Conventional Syllogism Question 10 Detailed Solution
Download Solution PDFAll + 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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 11 Detailed Solution
Download Solution PDFThe 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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 12 Detailed Solution
Download Solution PDFThe 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.
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.Answer (Detailed Solution Below)
Conventional Syllogism Question 13 Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as follows,
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.
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 14 Detailed Solution
Download Solution PDFThe least possible Venn diagram is:
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.
Answer (Detailed Solution Below)
Conventional Syllogism Question 15 Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as follows-
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.