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. All tigers are lions.

II. Some lions are leopards.

Conclusions:

I. Some tigers are leopards.

II. No tiger is leopards.

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 3 - Statements:

I. All fouls are goals.

II. No goal is a score.

Conclusions:

I. No foul is a score.

II. At least some goals are fouls.

Answer : E

Explanation

All fouls are goals (A) + no Goal is a score (E) = A + E = E = no foul is a score. Hence conclusion I follows. Again, all fouls are goals (A) conversion some goal are fouls (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 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.

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 banyans are oaks.

II. No oak is teak.

Conclusions:

I. Some oaks are banyans.

II. No banyan is teak.

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 banyan are not teak is valid. But this is not our conclusion. Hence only 1 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 samsung is a nokia.

II. Some nokia are oppo.

Conclusions:

I. No samsung is a oppo.

II. Some oppo are not samsung.

Answer : B

Explanation

No samsung is a nokia (E) + some nokia are oppo (I) = E + I = O ∗ = some oppo are not samsung. Hence conclusion II only 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 7 - Statements:

I. No knee is a heel.

II. All heels are ankles.

Conclusions:

I. At least some ankles are heels.

II. No ankle is a knee.

Answer : A

Explanation

All heels are ankles (A) - conversion - some ankles are heels (I). Hence conclusion I follows. No knee is a heel (E) + all heels are ankles (A) = E + A = O ∗ = some ankles are not knees. 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 intelligent are fools.

II. Some fools are great.

Conclusions:

I. Some intelligent are great.

II. All great are fools.

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. 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. Some bright are deems.

II. No deem is beauty.

Conclusions:

I. Some deems are bright.

II. No bright is beauty.