Syllogism MCQ Quiz - Objective Question with Answer for Syllogism - Download Free PDF
Last updated on Jun 5, 2025
Latest Syllogism MCQ Objective Questions
Syllogism Question 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:
All rabbits are cows.
Some rabbits are cats.
Conclusions:
I. All cats are rabbits.
II. Some cows are rabbits.
Answer (Detailed Solution Below)
Syllogism Question 1 Detailed Solution
The least possible Venn diagram is given below.
Conclusions:
I. All cats are rabbits → Does not follow → As all rabbits are cows and some rabbits are cats. So, all cats are rabbits is not definite true.
II. Some cows are rabbits → Follow → As all rabbits are cows so some cows are rabbits is definite ture.
Hence, the correct answer is "Only Conclusion II follows".
Syllogism Question 2:
In this question, two statements are given followed by two conclusions numbered i and ii. You have to assume everything in the statements to be true, then consider the two conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statements.
Statements:
Some notebooks are ruled.
All unruled are notebooks.
Conclusions:
i) Some ruled are unruled.
ii) Some notebooks are unruled.
Choose the appropriate one from the following options
(A) Only conclusion i follows
(B) Only conclusion ii follows
(C) Either i or ii follows
(D) Neither i nor ii follows
(E) Both i and ii follow.
Answer (Detailed Solution Below)
Syllogism Question 2 Detailed Solution
Least possible Venn diagram,
Conclusions:
(i) Some ruled are unruled → Does not follow (There is no direction relation between ruled and unruled given).
(ii) Some notebooks are unruled → Follow (As all unruled are notebooks. so, some notebook are definitely unruled).
Here, Only conclusion ii follows
Hence, the correct answer is "option (3)".
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:
All vegetables are foods.
Some foods are drinks.
Conclusions:
I. Some drinks are foods.
II. Some vegetables are drinks.
Answer (Detailed Solution Below)
Syllogism Question 3 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.
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(s) from the statements.
Statements:
All monkeys are donkeys. Some donkeys are horses. No horse is a monkey.
Conclusions:
1. Some horses are monkeys.
2. Some donkeys are not monkeys
Answer (Detailed Solution Below)
Syllogism Question 4 Detailed Solution
The least possible venn diagram is shown below,
Conclusions:
1. Some horses are monkeys → False (No horse is a monkey implies that some horses can't be monkeys).
2. Some donkeys are not monkeys → True (All monkeys are donkeys, some donkeys are horses and no horse is a monkey implies that some of those donkeys which are horses are not monkeys).
Hence, the correct answer is "Option 1".
Syllogism Question 5:
In the following question statements are given and these statements are followed by conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements, disregarding commonly known facts.
Statements : Some questions are answers. Some answers are writers. All the writers are poets.
Conclusions :
I. Some writers are answers.
II. Some poets are questions.
III. All the questions are poets.
IV. Some poets are answers.
Answer (Detailed Solution Below)
Syllogism Question 5 Detailed Solution
The possible diagram according to the given statement:
Conclusions :
I. Some writers are answers → True (Because the given statement is some answers are writers so, some writers are also answers)
II. Some poets are questions → False ( Because no direct relationship is given between poets and questions so it may be possible but not defined)
III. All the questions are poets → False (Because no direct relationship is given between questions and poets so it may be possible but not defined)
IV. Some poets are answers → True (Because some answers are writers and all the writers are poets so some poets are also answers Because some answers are writers and all the writers are poets so, some poets are also answers)
So, Only I and IV follow.
Hence, the correct answer is "option (2)".
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 bags
Answer (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.
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 11 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:
All flowers are beautiful.
Vaidehi is beautiful.
Conclusions:
I. Vaidehi is a flower.
II. Some beautiful are flowers.
Answer (Detailed Solution Below)
Syllogism Question 12 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)
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 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 15 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.