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. All singers are handsome.

II. Some handsome are weird.

Conclusions:

I. Some weird are handsome.

II. No singer is a weird.

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 singers are handsome (A) + some handsome are weird (I) = A + I = no conclusion. Hence conclusion II does not follow. Again, some handsome are weird (I) – conversion – some weird are handsome (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 2 - Statements:

I. All bacteria are germs.

II. Some germs are fungus.

Conclusions:

I. Some bacteria are fungus.

II. No bacteria is fungus.

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

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 3 - Statements:

I. Some garlic are carrots.

II. Some carrots are onions.

Conclusions:

I. Some garlics are onions.

II. All onions are carrots.

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 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 4 - Statements:

I. All tablets are Androids.

II. No Android is an IOS.

Conclusions:

I. No tablet is an IOS.

II. At least some Androids are tablets.

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

All tablets are Androids (A) + no Android is an IOS (E) = A + E = E = no tablets is an IOS. Hence conclusion I follows. Again, all tablets are Androids (A) - conversion -some Androids are tablets (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 5 - Statements:

I. Some trees are leaves.

II. No leaf is root.

Conclusions:

I. Some leaves are trees.

II. No tree is root.

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 tree are not root” 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 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.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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 pen is a book.

II. No cap is a book.

Conclusions:

I. Some pens are not caps.

II. Some books are caps.

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 pen is a book (E) + (no cap is book - conversion -) no book is a cap (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no cap is a book - conversion - no book is a cap. 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 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.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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. All MAJNUs are ROMEOs.

II. No ROMEO is a HEER.

Conclusions:

I. No MAJNU is a HEER.

II. At least some ROMEOs are MAJNUs.

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

All MAJNUs are ROMEOs (A) + no ROMEO is a HEER (E) = A + E = E = no MAJNU is a HEER. Hence conclusion I follows. Again, all MAJNUs are ROMEOs (A) - conversion - some ROMEOs are MAJNUs (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 10 - Statements:

I. Some baskets are flowers.

II. Some flowers are roses.

Conclusions:

I. Some flowers are baskets.

II. Some roses are flowers.

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.

reasoning_syllogism.htm
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