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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 students are bad.
II. Some bad are good.
Conclusions:
I. Some students are good.
II. All good are bad.
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 flies are bees.
II. All bees are beautiful.
Conclusions:
I. Some flies are beautiful.
II. All flies are beautiful.
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 flies are beautiful 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 tide are rin.
II. Some rin are surf excel.
Conclusions:
I. Some tide are surf excel.
II. All surf excel are rin.
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 5 - Statements:
I. Some balls are bats.
II. All bats are gloves.
Conclusions:
I. Some ball are gloves.
II. At least some gloves are bat.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : E
Explanation
Some balls are bats (I) + all bats are gloves (A) = I + A = I = some ball are gloves. Hence conclusion I follows. Again all bats are gloves -conversion - some gloves are bat. 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 6 - Statements:
I. Some elbows are triceps.
II. Some elbows are triceps.
Conclusions:
I. All elbows are biceps.
II. At least some triceps are not biceps.
A - If only conclusion I follows.
B - If only conclusion II follows.
C - If either conclusion I or II follows.
Answer : D
Explanation
Some elbow are triceps (I) + (some biceps are triceps (I) - conversion -) some triceps are biceps (I) = I + I = no conclusion. Hence conclusion I and II 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 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. All stands are water.
II. Some water are dirty.
Conclusions:
I. Some stands are dirty.
II. No stand is dirty.
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 9 - Statements:
I. All necks are vertebrae.
II. Some vertebrae are collar.
Conclusions:
I. Some necks are collar.
II. No neck is collar.
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 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.