Syllogism MCQ Quiz - Objective Question with Answer for Syllogism - Download Free PDF
Last updated on Apr 1, 2025
Latest Syllogism MCQ Objective Questions
Syllogism Question 1:
In this question, three conclusions have been given after three statements. Considering the statement as truth, think together on the given findings and decide which of these conclusions is logically logical beyond any doubt based on the information given in the statement.
Statement: Some lights are pillars. All the pillars are red. There are some red light.
Conclusion:
i) There are some red pillars.
ii) Some pillars are not light.
iii) Some lights are not red.
Answer (Detailed Solution Below)
Syllogism Question 1 Detailed Solution
The least possible Venn diagram for the given statements is as shown below :
Conclusions:
I. There are some red pillars → Follow (As all the pillars are red. So, whole pillars comes in red therefore some red are pillars is definitely true)
II. Some pillars are not light → Does not follow (As some lights are pillars. So, no negative or cross relation between light and pillars is given therefore it is definitely false)
iii) Some lights are not red.→ Does not follow (As some lights are pillars and there are some red lights. So, as conclusion given is illogic therefore it is definitely false)
∴ Here, Only conclusions (i) is logical.
Hence, the correct answer is "Option - (1)"
Syllogism Question 2:
Three statements are followed by conclusions numbered I, II. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow/s from the given statement.
Statements:
All fire is water.
Some water is earth.
No earth is air.
Conclusion (I): Some fire is earth.
Conclusion (II): Some fire is air.
Answer (Detailed Solution Below)
Syllogism Question 2 Detailed Solution
The least possible venn diagram is shown below,
Conclusion (I): Some fire is earth → False (All fire is water, and some water is earth implies that it is possible that some fire is earth but not definite).
Conclusion (II): Some fire is air → False (All fire is water, some water is earth and no earth is air implies that it is possible that some fire is air but not definite).
So, Neither conclusion (I) nor (II) follows.
Hence, the correct answer is "Option 4".
Syllogism Question 3:
Two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusion(s) logically follows/follow from the given statements.
Statements:
All buildings are chalks
No chalk is toffee.
Conclusions:
I. No building is toffee.
II. All chalks are building.
Answer (Detailed Solution Below)
Syllogism Question 3 Detailed Solution
The least possible Venn diagram for the given statements is as below:
Conclusions:
1. No building is toffee → True (As all the buildings are chalks and no chalks are toffee thus no building will toffee is a definite conclusion).
2. All chalks are building → False (It is possible but not definite).
Hence, the correct answer is "Only conclusion I follows".
Additional Information
Suppose for an Example: All A are B.
If we go from In to Out means from A to B then cases with All and some will be true like All A are B and Some A are B.
But if we go Out to In then only cases with Some will be true and All will be can't say like Some B are A will be true but All B are A will be can't say.
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 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)
Syllogism Question 4 Detailed Solution
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.
Syllogism Question 5:
Two statements are given followed by two conclusions numbered I and II. 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.
statement :
Statement I : No pipe is tank
Statement II : Some tanks are cisterns.
conclusion :
Conclusion I : No pipe is cistern.
Conclusion II : Some tanks are not cisterns.
Answer (Detailed Solution Below)
Syllogism Question 5 Detailed Solution
Given Statements:
Statement I: No pipe is tank.
Statement II: Some tanks are cisterns.
The least possible Venn diagram for the given statements is:
Conclusions:
Conclusion I: No pipe is cistern - False (From the Venn diagram, we can see that there's no direct information that definitively states "No pipe is cistern". It's possible that some cisterns might be pipes, or none are. We can't conclude "No pipe is cistern" with certainty.)
Conclusion II: Some tanks are not cisterns - False (From the Venn diagram, we know that "Some tanks are cisterns". But we cannot say that some tanks are not cisterns.)
So, Neither conclusion I nor II follows.
Hence, the correct answer is "Option 4".
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.
Answer (Detailed Solution Below)
Syllogism Question 6 Detailed Solution
Download Solution PDFExplanation :
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 bagsAnswer (Detailed Solution Below)
Syllogism Question 7 Detailed Solution
Download Solution PDFConcept:
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.
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.
Answer (Detailed Solution Below)
Syllogism Question 8 Detailed Solution
Download Solution PDFThe 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.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)
Syllogism Question 9 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)
Syllogism Question 10 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)
Syllogism Question 11 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".
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)
Syllogism Question 12 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".
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)
Syllogism Question 13 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)
Syllogism Question 14 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 follow from the statements.
Statements:
1. Some Books are Pencils.
2. All Pencils are Sharpeners.
3. All Books are Bags.
Conclusions:
I. Some Bags are Sharpeners.
II. Some Sharpeners are Books.
III. Some Sharpeners are Pencils.
Answer (Detailed Solution Below)
Syllogism Question 15 Detailed Solution
Download Solution PDFThe least possible Venn diagram for the given statements is as shown below :
Conclusions:
I. Some Bags are Sharpeners → Follow (As All Books are Bags and All Pencils are Sharpeners and Some Books are Pencils so, Some Bags are Sharpeners is true)
II. Some Sharpeners are Books → Follow (As All Pencils are Sharpeners and Some Books are Pencils so, Some Sharpeners are Books is true)
III. Some Sharpeners are Pencils → Follow (As All Pencils are Sharpeners so, Some Sharpeners are Pencils is true)
∴ Here, conclusions I, II and III are true.
Hence, the correct answer is "All conclusions I, II and III follow".