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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. Some chalks are dusters.
II. Some dusters are desks.
Conclusions:
I. Some dusters are chalks.
II. Some desks are dusters.
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 3 - Statements:
I. All fouls are goals.
II. No goal is a score.
Conclusions:
I. No foul is a score.
II. At least some goals are fouls.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : E
Explanation
All fouls are goals (A) + no Goal is a score (E) = A + E = E = no foul is a score. Hence conclusion I follows. Again, all fouls are goals (A) conversion some goal are fouls (I). Hence conclusion II also 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. All Pluto are Neptune.
II. Some Neptune are Uranus.
Conclusions:
I. Some Pluto are Uranus.
II. No Pluto is Uranus.
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 &plus 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 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 cycle is a motorcycle.
II. No motorcar is a motorcycle.
Conclusions:
I. Some cycles are not motorcars.
II. Some motorcycles are motorcars.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
No cycle is a motorcycle (E) + (no motorcar is motorcycle conversion-) no motorcycle is a motorcar (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no motorcar is a motorcycle conversion-no motorcycle is a motorcar. 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 words are vowels.
II. Some consonants are vowels.
Conclusions:
I. All words are consonants.
II. At least some vowels are not consonants.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
Some words are vowels (I) + (some consonants are vowels (I) - conversion -) some vowels are consonants (I) = I + I = no conclusion. Hence both the conclusions do 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 9 - Statements:
I. Some fruits are juices.
II. No juice is green.
Conclusions:
I. Some juices are fruits.
II. No fruit is green.
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 fruits are not green 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 10 - Statements:
I. Some Indians are braves.
II. No brave is Pakistani.
Conclusions:
I. Some braves are Indians.
II. No Indian is Pakistani.
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 Indians are not Pakistani is valid. But this is not our conclusion. Hence only conclusion I follows.