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 jazz are melody.

II. No melody is a rock.

Conclusions:

I. No jazz is a rock.

II. At least some melody are jazz.

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 jazz are melody (A) + no melody is a rock (E) = A + E = E = no jazz is a rock. Hence conclusion I follows. Again, all jazz are melody (A) – conversion – some melody are jazz (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 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. Some flies are bees.

II. All bees are beautiful.

Conclusions:

I. Some flies are beautiful.

II. All flies are beautiful.

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 flies are beautiful” 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 Pluto are Neptune.

II. Some Neptune are Uranus.

Conclusions:

I. Some Pluto are Uranus.

II. No Pluto is Uranus.

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 &plus 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 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. Some plants are branches.

II. All branches are trees.

Conclusions:

I. Some plants are trees.

II. At least some trees are branches.

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 plants are branches (I) + all branches are trees (A) = I + A = I = some plants are trees. Hence conclusion I follows. Again, all branches are trees - conversion - some trees are branches. 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 8 - Statements:

I. All fans are ACs.

II. No AC is a cooler.

Conclusions:

I. No fan is a cooler.

II. At least some ACs are fans.

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 fans are ACs (A) + no AC is a cooler (E) = A + E = E = no fan is a cooler. Hence conclusion I follows. Again, all fans are ACs (A) - conversion - some ACs are fans (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 9 - Statements:

I. All police are THIEFs.

II. No THIEF is an inspector.

Conclusions:

I. No police is an inspector.

II. At least some THIEFs are police.

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 police are THIEFs (A) + no THIEF is an inspector (E) = A + E = E = no police is an inspector. Hence conclusion I follows. Again, all police are THIEFs (A) - conversion - some THIEFs are police (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. No hand is a leg.

II. No limb is a leg.

Conclusions:

I. Some hands are not limbs.

II. Some legs are limbs.

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 hand is a leg (E) + (no limb is leg - conversion -) no leg is a limb (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no limb is a leg - conversion - no leg is a limb. Hence conclusion II also does not follow.

reasoning_syllogism.htm
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