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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 green are white.
II. Some white are black.
Conclusions:
I. Some greens are black.
II. All black are white.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
Conclusion II is an immediate inference drawn from second statement and this is not valid as per rule of conversion. Conclusion I is a mediate inference. But as per table of mediate inference, I + I = no result. Hence none of the conclusion 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 entertainers are boring.
II. All boring are dusty.
Conclusions:
I. Some entertainers are dusty.
II. All entertainers are dusty.
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 entertainers are dusty” 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 physics are chemistry.
II. Some chemistry are math.
Conclusions:
I. Some chemistry are physics.
II. Some math are chemistry.
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 badminton are tennis.
II.All tennis are racket.
Conclusions:
I. Some badminton are racket.
II. All badminton are racket.
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 badminton are racket” 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 6 - Statements:
I. No samsung is a nokia.
II. Some nokia are oppo.
Conclusions:
I. No samsung is a oppo.
II. Some oppo are not samsung.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : B
Explanation
No samsung is a nokia (E) + some nokia are oppo (I) = E + I = O ∗ = some oppo are not samsung. Hence conclusion II only follows, but conclusion I 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. All jeeps are cars.
II. Some cars are Hondas.
Conclusions:
I. Some Hondas are cars.
II. No jeeps is a Honda.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
All jeeps are cars (A) + some car are Hondas (I) = A + I = no conclusion. Hence conclusion II does not follow. Again, some cars are Hondas (I) - conversion - some Hondas are car (I). Hence 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 8 - Statements:
I. All fans are ACs.
II. No AC is a cooler.
Conclusions:
I. No fan is a cooler.
II. At least some ACs are fans.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : E
Explanation
All fans are ACs (A) + no AC is a cooler (E) = A + E = E = no fan is a cooler. Hence conclusion I follows. Again, all fans are ACs (A) - conversion - some ACs are fans (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 9 - Statements:
I. Some muscles are hearts.
II. No heart is a cardiac.
Conclusions:
I. No muscle is a cardiac.
II. At least some muscles are cardiac.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : C
Explanation
Some muscles are hearts (I) + no heart is a cardiac (E) = I + E = O = some muscles are not cardiac. 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 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.
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