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. No fish is a prawn.

II. All prawns are eggs.

Conclusions:

I. At least some eggs are prawns.

II. No eggs is a fish.

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 prawns are eggs (A) – conversion – some eggs are prawns (I). Hence conclusion I follows. No fish is a prawn (E) + all prawns are eggs (A) = E + A = O ∗ = some eggs are not fish. 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 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. 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 parrots are peacocks.

II. All peacocks are pigeons.

Conclusions:

I. Some parrots are pigeons.

II. All parrots are pigeons.

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 parrots are pigeons” 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. 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 necks are vertebrae.

II. Some vertebrae are collar.

Conclusions:

I. Some necks are collar.

II. No neck is collar.

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 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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