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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 fish is a prawn.
II. All prawns are eggs.
Conclusions:
I. At least some eggs are prawns.
II. No eggs is a fish.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
All prawns are eggs (A) conversion some eggs are prawns (I). Hence conclusion I follows. No fish is a prawn (E) + all prawns are eggs (A) = E + A = O ∗ = some eggs are not fish. 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 2 - Statements:
I. Some lasers are X-rays.
II. Some X-rays are UV rays.
Conclusions:
I. Some X-rays are lasers.
II. Some UV rays are X-rays.
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. No project is a construction.
II. All constructions are manufacture.
Conclusions:
I. At least some manufacture are construction.
II. No cover is a project.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
All constructions are manufacture (A) conversion some manufacture are constructions (I). Hence conclusion I follows. No project is a construction (E) + all construction are manufacture (A) = E + A = O ∗ = some manufacture are not project. 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 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 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. All granites are marbles.
II. Some marbles are tiles.
Conclusions:
I. Some tiles are marbles.
II. No granite is a tile.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : A
Explanation
All granites are marbles (A) + some marbles are tiles (I) = A + I = no conclusion. Hence conclusion II does not follow. Again, some marbles are tiles (I) - conversion - some tiles are marbles (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 7 - Statements:
I. No cup is a glass.
II. Some glasses are bottles.
Conclusions:
I. No cup is a bottle.
II. Some bottles are not cups.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : B
Explanation
No cup is a glass (E) + some glasses are bottles (I) = E + I = O ∗ = some bottles are not cups. Hence conclusion II 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 8 - Statements:
I. No cup is a glass.
II. Some glasses are bottles.
Conclusions:
I. No cup is a bottle.
II. Some bottles are not cups.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : B
Explanation
No cup is a glass (E) + some glasses are bottles (I) = E + I = O ∗ = some bottles are not cups. Hence conclusion II 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 9 - Statements:
I. Some cricket are football.
II. Some football are hockey.
Conclusions:
I. Some football are cricket.
II. Some hockey are football.
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 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.