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Syllogism Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Syllogism. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 1 - Statements:
I. No point is a brake.
II. No catch is a brake.
Conclusions:
I. Some points are not catches.
II. Some brakes are catches.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
No point is a brake (E) + (no catch is brake- conversion-) no brake is a catch (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no catch is a brake- conversion no brake is a catch. Hence conclusion II also does not follow.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 2 - Statements:
I. All tigers are lions.
II. Some lions are leopards.
Conclusions:
I. Some tigers are leopards.
II. No tiger is leopards.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : C
Explanation
Both the conclusions are mediate inferences. We know from table of mediate inference that A + I = no result. However, this conclusion forms the complementary pairs and comply the conditions, i.e. both the conclusions are I - E type and have the same subject and predicate. Hence either 1 or 2 follows.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 3 - Statements:
I. Some autumn are summer.
II. All summer are spring.
Conclusions:
I. Some autumn are spring.
II. All autumn are spring.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
Both the statements are aligned, i.e. predicate of the first is the subject of the second. From the table of mediate inference, we know that I + A = I. Hence conclusion some autumn are spring follows.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 4 - Statements:
I. Some big are small.
II. Some small are huge.
Conclusions:
I. Some small are big.
II. Some huge are small.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : E
Explanation
Both the conclusions are immediate inferences drawn from statements and follow the rule of conversion.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 5 - Statements:
I. Some clowns are entertainers.
II. No entertainer is a joker.
Conclusions:
I. No clown is a joker.
II. At least some clowns are jokers.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : C
Explanation
Some clowns are entertainers (I) + no entertainer is a joker (E) = I + E = O = some clowns are not jokers. But conclusion I and II make a complementary pair (I - E). Hence either I or II follows. So option C is the right answer.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 6 - Statements:
I. No chain is a necklace.
II. No earring is a necklace.
Conclusions:
I. Some chains are not earrings.
II. Some necklaces are earrings.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
No chain is a necklace (E) + (no earrings is necklace-conversion -) no necklace is earring (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no earring is a necklace - conversion - no necklace is earring. Hence conclusion II also does not follow.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 7 - Statements:
I. No paper is a pen.
II. All pens are covers.
Conclusions:
I. At least some covers are pens.
II. No cover is a paper.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
All pens are covers (A) - conversion - some covers are pens (I). Hence conclusion I follows. No paper is a pen (E) + all pens are covers (A) = E + A = O ∗ = some covers are not papers. Hence conclusion II does not follow.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 8 - Statements:
I. Some apples are oranges.
II. No orange is black.
Conclusions:
I. Some oranges are apples.
II. No apple is black.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
Conclusion I is the immediate inference drawn from first statement. For mediate inference, I + E = O. Therefore, from the pair of statements, conclusion some apples are not black is valid. But this is not our conclusion. Hence only conclusion I follows.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 9 - Statements:
I. Some rulers are dancers.
II. All dancers are short.
Conclusions:
I. Some rulers are short.
II. All rulers are short.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
Both the statements are aligned, i.e. predicate of the first is the subject of the second. From the table of mediate inference, we know that I + A =I. Hence conclusion some rulers are short follows.
Two statements are given below followed by two conclusions numbered as I and II respectively. Consider the given statements as true even if they seem to be not. After reading all the conclusions conform which of the given conclusions logically follows, disregarding commonly known facts.
Q 10 - Statements:
I. Some goalkeepers are wicketkeepers.
II. All wicketkeepers are cunning.
Conclusions:
I. Some goalkeepers are cunning.
II. All goalkeepers are cunning.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
Both the statements are aligned, i.e. predicate of the first is the subject of the second. From the table of mediate inference, we know that I + A = I. Hence conclusion some goalkeepers are cunning follow.