Syllogism MCQ Quiz - Objective Question with Answer for Syllogism - Download Free PDF
Last updated on Apr 21, 2025
Latest Syllogism MCQ Objective Questions
Syllogism Question 1:
Consider the given statements to be true and decide which of the conclusions logically follow(s) from the given statements.
Statement:
All fruits are trees. Some trees are birds.
Conclusions:
1. Some birds are trees.
2. Some trees are fruits.
Answer (Detailed Solution Below)
Syllogism Question 1 Detailed Solution
As per the given information,
Conclusion 1: Some birds are trees → As some trees are birds, some birds will be trees, hence it is true.
Conclusion 2: Some trees are fruits → As all fruits are trees, some trees will be fruits, hence, it is true.
Hence, both conclusions 1 and 2 follow.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 conclusion(s)
Statements:
All jacks are kings.
All kings are queens.
Conclusions:
(I) Some queens are jacks.
(II) All jacks are queens.
Answer (Detailed Solution Below)
Syllogism Question 2 Detailed Solution
Given Statements:
All jacks are kings.
All kings are queens.
The least possible Venn diagram for the given statements is:
Conclusions:
I. Some queens are jacks - True (Since all jacks are kings and all kings are queens, jacks are a subset of queens, implying some queens are jacks).
II. All jacks are queens - True (The statement "All kings are queens" and "All jacks are kings" directly implies that all jacks are also included within the set of queens).
So, Both conclusions I and II follow.
Hence, the correct answer is "Option 3".
Syllogism Question 3:
Read the given statements and conclusions carefully. Accept the information given in the statements as correct, even if it appears to be different from 'commonly known facts, and decide which of the given conclusions(s) logically follow from the statements. statement: (I) All tablets are medicines. (II) All prescriptions are tablets. Conclusions: (I) All tablets are prescriptions. (II) Some medicines are prescriptions.
Answer (Detailed Solution Below)
Syllogism Question 3 Detailed Solution
The least possible Venn diagram for the given statements is as shown below :
Conclusions:
(I) All tablets are prescriptions. → Follow (As no keyboard is key and all keys are rings. So it is possible but not definite.)
(II) Some medicines are prescriptions. → Does not follow (As some mouse are keyboard and no keyboard is key. As whole prescription comes in tablets which whole comes in medicines, therefore it is true.)
∴ Here, Only conclusion (I) follows.
Hence, the correct answer is "Option 1".
Syllogism Question 4:
Read the given statements and conclusions carefully. Accept the information given in the statements as correct, even if it appears to be different from commonly known facts. Statement: Some mouse are keyboard. No keyboard is key. All keys are rings. conclusion: (I) Some rings are not keyboards. (II) All mouse can be keys.
Answer (Detailed Solution Below)
Syllogism Question 4 Detailed Solution
The least possible Venn diagram for the given statements is as shown below :
Conclusions:
(I) Some rings are not keyboards. → Follow (As no keyboard is key and all keys are rings.. As no keyboard can be keys which whole comes in rings, therefore it is true.)
(II) All mouse can be keys. → Does not follow (As some mouse are keyboard and no keyboard is key. As some part of mouse is common with keyboard which cannot be key, therefore it is false.)
∴ Here, Only conclusion (I) follows.
Hence, the correct answer is "Option 1".
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 conclusion(s)
All spades are diamonds.
All diamonds are hearts.
Conclusions:
(I) Some hearts are spades.
(II) Some spades are hearts.
Answer (Detailed Solution Below)
Syllogism Question 5 Detailed Solution
The least possible Venn diagram for the given statements is as shown below :
Conclusions:
(I) Some hearts are spades → Follow (As all spades are diamonds and all diamonds are hearts. As whole spades comes in diamonds which whole comes in hearts, therefore it is true.)
(II) Some spades are hearts → Follow (As all spades are diamonds and all diamonds are hearts. As whole spades comes in diamonds which whole comes in hearts, therefore it is true.)
∴ Here, Both conclusions (I) and (II) follow.
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.
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 8 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.
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 9 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.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".