Syllogism Online Quiz

Answer : A

Explanation

All fans are cylinders (A) + some cylinders are basins (I) = A + I = no conclusion. Hence conclusion II does not follow. Again, some cylinders are basins (I) – conversion – some basins are cylinders (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 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.

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 rainy are spring.

II. Some spring are winter.

Conclusions:

I. Some rainy are winter.

II. No rainy is winter.

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 5 - Statements:

I. Some balls are bats.

II. All bats are gloves.

Conclusions:

I. Some ball are gloves.

II. At least some gloves are bat.

Answer : E

Explanation

Some balls are bats (I) + all bats are gloves (A) = I + A = I = some ball are gloves. Hence conclusion I follows. Again all bats are gloves -conversion - some gloves are bat. 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. No chain is a necklace.

II. No earring is a necklace.

Conclusions:

I. Some chains are not earrings.

II. Some necklaces are earrings.

Answer : D

Explanation

No chain is a necklace (E) + (no earrings is necklace-conversion -) no necklace is earring (E) = E + E = no conclusion. Hence conclusion I does not follow. Again, no earring is a necklace - conversion - no necklace is earring. 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 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. Some muscles are hearts.

II. No heart is a cardiac.

Conclusions:

I. No muscle is a cardiac.

II. At least some muscles are cardiac.

Answer : C

Explanation

Some muscles are hearts (I) + no heart is a cardiac (E) = I + E = O = some muscles are not cardiac. 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 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.