Conventional Syllogism MCQ Quiz - Objective Question with Answer for Conventional Syllogism - Download Free PDF
Last updated on Jun 28, 2025
Latest Conventional Syllogism MCQ Objective Questions
Conventional Syllogism Question 1:
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
Answer (Detailed Solution Below)
Conventional Syllogism Question 1 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.
Conventional Syllogism Question 2:
Two statements are followed by two conclusions numbered I and II. Assuming the statements to be true even if they do not conform to real-world knowledge, decide which of the conclusions logically follows/follow from the statements.
Statements:
1. Some cottages are huts.
2. All huts are sheds.
Conclusions:
I. Some sheds are cottages.
II. No shed is a cottage.
Answer (Detailed Solution Below)
Conventional Syllogism Question 2 Detailed Solution
Least Possible Venn Diagram:
Conclusions:
I. Some sheds are cottages → Follows (Some cottage are huts and all huts are shed than some shed will be cottage. It is definitely true)
II. No shed is a cottage → Doesn't Follows (Because some cottage are huts and all huts are shed than some shed are cottage. Than no shed is a cottage is not possible.Hence it does not follows)
Hence, "only conclusion I follows".
Conventional Syllogism Question 3:
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:
Some insects are cockroaches.
Some lizards are insects.
Conclusions:
I. Some cockroaches are insects.
II. Some lizards are cockroaches.
Answer (Detailed Solution Below)
Conventional Syllogism Question 3 Detailed Solution
The least possible diagram is as follows:
Conclusions:
I. Some cockroaches are insects. - True (From the figure we can clearly see that some part of cockroaches intersects with insects).
II. Some lizards are cockroaches - False (There is no direct relation between lizards and cockroaches. It may be possible but not definite)
Hence, the correct answer is "Only conclusion I follow".
Conventional Syllogism Question 4:
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:
Some pets are birds.
All birds are mats.
Conclusions:
I. All mats are birds.
II. Some mats are pets.
Answer (Detailed Solution Below)
Conventional Syllogism Question 4 Detailed Solution
Statement:
Some pets are birds.
All birds are mats.
The least possible diagram for the given statements is as follows:
Conclusions:
(i) All mats are birds - False (It can be possible but not definite).
(ii) Some mats are pets - True (Some pets are birds and All birds are mats, so the pets that is birds is definitely mats).
Here, Only conclusion II follows.
Hence, the correct answer is "Option 1".
Conventional Syllogism Question 5:
Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion's logically follow's from the given statements.
Statements:
All tankers are ships.
Some ships are rockets.
Some tankers are guns.
Conclusion (I) : Some guns are ships.
Conclusion (II) : Some tankers are rockets.
Answer (Detailed Solution Below)
Conventional Syllogism Question 5 Detailed Solution
The least possible Venn diagram is:
Conclusion (I) : Some guns are ships. → Follows (As, All tankers are ships and Some tankers are guns → Some guns are ships)
Conclusion (II) : Some tankers are rockets. → Does not follow (As, there is no definite relation between tankers and rockets. Hence, false)
Hence, ‘Only conclusion (I) is true’ is the correct answer.
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 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 6 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".
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 7 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.
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.
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 14 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.
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 15 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.
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