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 pink is a girl.

II. No red is a girl.

Conclusions:

I. Some pinks are not red.

II. Some girls are red.

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 pink is a girl (E) + (no red is girl- conversion-) no girl is a red (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no red is a girl- conversion – no girl is red. 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 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 autumn are summer.

II. All summer are spring.

Conclusions:

I. Some autumn are spring.

II. All autumn are spring.

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 autumn are spring” 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 pencil are pens.

II. Some pens are rubbers.

Conclusions:

I. Some pencils are rubbers.

II. No pencil is rubber.

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 5 - Statements:

I. Some brown are velvet.

II. All velvet are red.

Conclusions:

I. Some brown are red.

II. At least some red are velvet.

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

Some brown are velvet (I) + all velvet are red (A) = I + A = I = some brown are red. Hence conclusion I follows. Again all velvet are red - conversion -some red are velvet. 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. 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. No tree is a house.

II. Some houses are ply.

Conclusions:

I. No tree is a ply.

II. Some plies are not trees.

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 tree is a house (E) + some houses are ply (I) = E + I = O ∗ = some ply are not trees. 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. Some intelligent are fools.

II. Some fools are great.

Conclusions:

I. Some intelligent are great.

II. All great are fools.

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 1 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 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. Some horses are giraffes.

II. All giraffes are elephants.

Conclusions:

I. Some horses are elephants.

II. At least some elephants are giraffes.

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

Some horses are giraffes (I) + all giraffes are elephants (A) = I + A = I = some horses are elephants. Hence conclusion I follows. Again all giraffes are elephants - conversion - some elephants are giraffes. Hence conclusion II also follows.


reasoning_syllogism.htm

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