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 stain is a steel.

II. Some steels are baskets.

Conclusions:

I. No stain is a basket.

II. Some baskets are not stains.

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 stain is a steel (E) + some steels are baskets (I) = E + I = O ∗ = some baskets are not stains. 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. Some lasers are X-rays.

II. Some X-rays are UV rays.

Conclusions:

I. Some X-rays are lasers.

II. Some UV rays are X-rays.

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. No project is a construction.

II. All constructions are manufacture.

Conclusions:

I. At least some manufacture are construction.

II. No cover is a project.

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 constructions are manufacture (A) – conversion – some manufacture are constructions (I). Hence conclusion I follows. No project is a construction (E) + all construction are manufacture (A) = E + A = O ∗ = some manufacture are not project. 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 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 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. 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.

D - If neither conclusion I nor II follows.

E - If both conclusion I and 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 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 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 muscles are hearts.

II. No heart is a cardiac.

Conclusions:

I. No muscle is a cardiac.

II. At least some muscles are cardiac.

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 muscles are hearts (I) + no heart is a cardiac (E) = I + E = O = some muscles are not cardiac. 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 10 - Statements:

I. Some goalkeepers are wicketkeepers.

II. All wicketkeepers are cunning.

Conclusions:

I. Some goalkeepers are cunning.

II. All goalkeepers are cunning.

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 goalkeepers are cunning” follow.

reasoning_syllogism.htm
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