Syllogism Quiz for SBI PO 2019 and IBPS PO 2019 Exams | Syllogism PDF for Bank PO 2019 Exams at Smartkeeda

Directions: In each question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows/follow from the given statements, disregarding commonly known facts.
1
Statements:

A few daughters are not mothers.
All mothers are sisters.
No sister is a niece.

Conclusions:

I. No niece is a mother.
II. No daughter is a niece.
III. Some mothers are not daughters.
IV. Some nieces are both mothers and daughters.
» Explain it
E
Checking C1: No niece is a mother.

From S1 and S2,

All mothers are sisters (A) + No sister is a niece (E) = No mother is a niece or No niece is a mother.

C1 hence follows.

Checking C2:  No daughter is a niece.

Clearly, S1 in which the class ‘daughter’ exists is an O type statement, we can’t derive a definite relationship of it with any other statement.

Clearly, C2 doesn’t follow.

Checking C3: Some mothers are not daughters.

From S1,

A few daughters are not mothers.

But as conversion of an O type statement is not valid, C3 doesn’t follow either.

Checking C4: Some nieces are both mothers and daughters.

Following the logic explained C2, we can eliminate C4 as well.

Evidently, only C1 follows. Option E is hence the correct answer.
2
Statements: 
Some SRKs are actors.
All actresses are actors.
No actor is musician.
 
Conclusions:

I. Some SRKs are actresses.
II. All musicians being actresses is a possibility.
III. No SRK is an actress.
IV. Some actors not being SRK is a possibility.
» Explain it
E
Checking C1 and C3: ‘Some SRKs are actresses’ and ‘No SRK is an actress.’

In S1 and S2, we can observe that the middle term ‘actors’ is not distributed even once, a definite conclusion can’t be derived between these two.  And C1 is an I type statement and C2 is an E type statement, they both form a complementary pair (E + I combination).

Therefore, either C1 or C3 follows.

Checking C2: All musicians being actresses is a possibility.

From S2 and S3,

All actresses are actors + No actor is musician = No actress is a musician.

Clearly, there is no possibility that exists between ‘actress’ and ‘musician’.

C2 hence doesn’t follow.

Checking C4: Some actors not being SRK is a possibility.

From S1,

Some SRKs are actors.

Converse of it = Some actors are SRK.

Now, if some actors are SRK, what are the other actors? They could be either SRK too or they could not be SRK.

Following the latter notion, we can say that ‘Some actors not being SRK’ is a possibility.

C4 hence follows.

Evidently, either C1 or C3 and C4 follow.

Clearly, none of these (option E) is the correct answer.
3
Statements:

No whale is shark.
Not a single shark is fish.
Every fish are deer.

Conclusions:

I. Some deer which are fish are whale as well.
II. No whale is a fish.
III. Some deer are not shark.
IV. No whale is a deer.
» Explain it
A
Checking C1: Some deer which are fish are whale as well.

If we observe the given statements, we can find that in Statement 1 and 2, the middle term ‘shark’ is distributed twice and therefore even after conversing either of the sentence we won’t be able to find a definite conclusion out of these two. Therefore, we can’t derive a definite relationship between ‘deer’ and ‘whale’.

C1 hence doesn’t follow.

Checking C2:  No whale is a fish.

Following the logic explained above, we can clearly say that C2 doesn’t follow either.

Checking C3: Some deer are not shark.

From S2 and S3,

Not a single shark is fish (E) + Every fish are deer (A) = Some deer are not shark.

Clearly, C3 follows.

Checking C4: No whale is a deer.

Here, once again we are asked to derive a relationship between ‘whale’ and ‘deer’. Clearly, C4 doesn’t follow.

Among all, only C3 follows. Option A is hence the correct answer.
4
 Statements :   All apples are red.
                          No red is a mango.
                          All mangoes are sweet.

Conclusions :     I. All apples being sweet is a possibility.
                             II. No sweet is an apple.
» Explain it
A
All apples are red (A) + No red is a mango (E) = A + E = E = No apple is a mango, now

No apple is a mango (E) + All mangoes are sweet (A) = E + A = O* = Some sweet are not apples.

Hence, conclusion I follows, but conclusion II does not follow.

Hence, option A is correct.
5
Statements :  Some rabbits are black.
                        No black is a tall.
                        All tall are white.

Conclusions : I. Some white are not black.
                         II. All rabbits being tall is a possibility.
» Explain it
A
No black is a tall (E) + All tall are white (A) = E + A = O* = Some white are not black. 

Hence, conclusion I follows.

Again, Some rabbits are black (I) + No black is a tall (E) = I + E = O = Some rabbits are not tall. Thus, the possibility in II does not exist.

Hence, conclusion II does not follow.

Hence, option A is correct.