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 fans are cylinders.

II. Some cylinders are basins.

Conclusions:

I. Some basins are cylinders.

II. No fan is a basin.

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 fans are cylinders (A) + some cylinders are basins (I) = A + I = no conclusion. Hence conclusion II does not follow. Again, some cylinders are basins (I) – conversion – some basins are cylinders (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. Some pins are pointers.

II. Some pointers are sharp.

Conclusions:

I. Some pointers are pins.

II. Some sharp are pointers.

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 3 - Statements:

I. All families are neighbours.

II. No neighbour is a friend.

Conclusions:

I. No family is a friend.

II. At least some neighbours are families.

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 families are neighbours (A) + no neighbour is a friend (E) = A + E = E = no family is a friend. Hence conclusion I follows. Again, all families are neighbours (A)- conversion - some neighbours are family (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 4 - Statements:

I. Some books are texts.

II. Some texts are copies.

Conclusions:

I. Some books are copies.

II. All copies are text.

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 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. All flowers are leaves.

II. Some leaves are fruits.

Conclusions:

I. Some fruits are leaves.

II. No flower is a fruit.

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 flowers are leaves (A) + some leaves are fruits (I) = A + I = no conclusion. Hence conclusion II does not follow. Again, some leaves are fruits (I) - conversion - some fruits are leaves (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. Some ropes are tubes.

II. Some tubes are mats.

Conclusions:

I. Some tubes are ropes.

II. Some mats are tubes.

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 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. All ducks are swans.

II. Some swans are kingfishers.

Conclusions:

I. Some kingfishers are swan.

II. No ducks is a kingfisher.

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 ducks are swans (A) + some swans are kingfishers (I) = A + I = no conclusion. Hence conclusion II does not follow. Again some swans are kingfishers (I) - conversion - some kingfishers are swans (I). Hence conclusion I follows.

reasoning_syllogism.htm
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