Syllogism Online Quiz


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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.

Questions and Answers

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 cat is a mouse.

II. Some mice are birds.

Conclusions:

I. No cat is a bird.

II. Some birds are not cats.

A - If only conclusion I follows.

B - If only conclusion II follows.

C - If either conclusion I or II follows.

D - If neither conclusion I nor II follows.

E - If both conclusion I and II follows.

Answer : B

Explanation

No cat is a mouse (E) + some mice are birds (I) = E + I = O ∗ = some birds are not cats. 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 2 - Statements:

I. No Nainital is a Cherapunjee.

II. All Cherapunjee are Mysore.

Conclusions:

I. At least some Mysore are Cherapunjee.

II. No Mysore is a Nainital.

A - If only conclusion I follows.

B - If only conclusion II follows.

C - If either conclusion I or II follows.

D - If neither conclusion I nor II follows.

E - If both conclusion I and II follows.

Answer : A

Explanation

All Cherapunjee are Mysore (A) – conversion – some Mysore are Cherapunjee (I). Hence conclusion I follows. No Nainital is a Cherapunjee (E) + all Cherapunjee are Mysore (A) = E + A = O ∗ = some Mysore are not Nainital. 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 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.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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 dirty are mud.

II. Some mud are clean.

Conclusions:

I. Some mud are dirty.

II. Some clean are mud.

A - If only conclusion I follows.

B - If only conclusion II follows.

C - If either conclusion I or II follows.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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 creams are powders.

II. Some powders are lotions.

Conclusions:

I. Some creams are lotions.

II. All lotions are powders.

A - If only conclusion I follows.

B - If only conclusion II follows.

C - If either conclusion I or II follows.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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 conclusions 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 6 - Statements:

I. No scale is a protractor.

II. No rounder is a protractor.

Conclusions:

I. Some scales are not rounders.

II. Some protractors are rounders.

A - If only conclusion I follows.

B - If only conclusion II follows.

C - If either conclusion I or II follows.

D - If neither conclusion I nor II follows.

E - If both conclusion I and II follows.

Answer : D

Explanation

No scale is a protractor (E) + (no rounder is protractorconversion -) no protractor is a rounder (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no rounder is a protractorconversion - no protractor is a rounder. 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. Some numbers are digits.

II. No digit is a letter.

Conclusions:

I. No number is a letter.

II. At least some numbers are letters.

A - If only conclusion I follows.

B - If only conclusion II follows.

C - If either conclusion I or II follows.

D - If neither conclusion I nor II follows.

E - If both conclusion I and II follows.

Answer : C

Explanation

Some numbers are digits (I) + no digit is a letter (E) = I + E = O = some numbers are not letters. 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 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.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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. No hand is a leg.

II. No limb is a leg.

Conclusions:

I. Some hands are not limbs.

II. Some legs are limbs.

A - If only conclusion I follows.

B - If only conclusion II follows.

C - If either conclusion I or II follows.

D - If neither conclusion I nor II follows.

E - If both conclusion I and II follows.

Answer : D

Explanation

No hand is a leg (E) + (no limb is leg - conversion -) no leg is a limb (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no limb is a leg - conversion - no leg is a limb. Hence conclusion II also does not follow.

reasoning_syllogism.htm
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