Syllogism Online Quiz

Answer : B

Explanation

No cat is a mouse (E) + some mice are birds (I) = E + I = O ∗ = some birds are not cats. 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 pins are pointers.

II. Some pointers are sharp.

Conclusions:

I. Some pointers are pins.

II. Some sharp are pointers.

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

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. All Pluto are Neptune.

II. Some Neptune are Uranus.

Conclusions:

I. Some Pluto are Uranus.

II. No Pluto is Uranus.

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 brown are velvet.

II. All velvet are red.

Conclusions:

I. Some brown are red.

II. At least some red are velvet.

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. Some eyes are heads.

II. Some ears are heads.

Conclusions:

I. All eyes are ears.

II. At least some heads are not ears.

Answer : D

Explanation

Some eyes are heads (I) + (some ear are head (I) - conversion -) some head are ear (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 paper is a pen.

II. All pens are covers.

Conclusions:

I. At least some covers are pens.

II. No cover is a paper.

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 peace are wars.

II. No war is an alliance.

Conclusions:

I. No peace is alliance.

II. At least some peace are alliances.

Answer : C

Explanation

Some peace are wars (I) + no war is an alliance (E) = I + E = O = some peace are not alliances. 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 9 - Statements:

I. All MAJNUs are ROMEOs.

II. No ROMEO is a HEER.

Conclusions:

I. No MAJNU is a HEER.

II. At least some ROMEOs are MAJNUs.

Answer : E

Explanation

All MAJNUs are ROMEOs (A) + no ROMEO is a HEER (E) = A + E = E = no MAJNU is a HEER. Hence conclusion I follows. Again, all MAJNUs are ROMEOs (A) - conversion - some ROMEOs are MAJNUs (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 window is a glass.

II. Some glasses are doors.

Conclusions:

I. No window is a door.

II. Some doors are not windows.