Syllogism Online Quiz



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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. Some chalks are dusters.

II. Some dusters are desks.

Conclusions:

I. Some dusters are chalks.

II. Some desks are dusters.

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. Some mutton are fish.

II. No fish is chicken.

Conclusions:

I. Some fishes are mutton.

II. No mutton is chicken

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 mutton are not chicken 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 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 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 paper is a pen.

II. All pens are covers.

Conclusions:

I. At least some covers are pens.

II. No cover is a paper.

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 pens are covers (A) - conversion - some covers are pens (I). Hence conclusion I follows. No paper is a pen (E) + all pens are covers (A) = E + A = O ∗ = some covers are not papers. 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 8 - Statements:

I. Some cricketers are dancers.

II. All dancers are tall.

Conclusions:

I. Some cricketers are tall.

II. All cricketers are tall.

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 cricketers are tall 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 arrows are bows.

II. Some bows are javelins.

Conclusions:

I. Some arrows are javelin.

II. No arrow is javelin.

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 10 - Statements:

I. Some Indians are braves.

II. No brave is Pakistani.

Conclusions:

I. Some braves are Indians.

II. No Indian is Pakistani.

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 Indians are not Pakistani is valid. But this is not our conclusion. Hence only conclusion I follows.

reasoning_syllogism.htm
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