Syllogism (Varieties Questions)

11. Statements :

I. Each correct is wrong.

II. No wrong is right.

Conclusions:

I. No correct is right.

II. Some wrongs are correct.

(a) Only conclusion II follows.
(b) Both conclusion I and II follow.
(c) Neither conclusion I nor Il follow
(d) Only conclusion I follows.

Correct Answer: (b) Both conclusion I and II follow.

Solution:From Ven-Diagram

12. Three Statements are given followed by four conclusions numbered 1, 2, 3, and 4. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically does NOT follow(s) from the statements. [SSC CGL Tier II (02/03/2023)]

Statements:

All P are G.

Some G are B.

All B are C.

Conclusions:

I. All P being C is a possibility.

II. Some P are B.

III. Some C are G.

IV. Some G are P

(a) Only 3 does not follow
(b) Only 4 does not follow
(c) Only 2 does not follow
(d) Only 1 does not follow

Correct Answer: (c) Only 2 does not follow

Solution:From Ven-Diagram

13. Statements : [SSC CGL 03/12/2022 (1st Shift)]

Some bulbs are switches.

No switch is a vase.

All fans are switches.

Conclusions:

I. Some bulbs being fans is a possibility.

II. No fan is a vase.

III. All switches are fans.

IV. No bulb is a vase.

(a) Only Conclusions II and III follow
(b) Only Conclusions I and II follow
(c) Only Conclusions I, II and IV follow
(d) Only Conclusion I follows

Correct Answer: (b) Only Conclusions I and II follow

Solution:From Ven-diagram

Hence,

Only conclusions I and II follow.

14. Statements : [SSC CGL 01/12/2022 (4th Shift)]

Some stones are cubes.

No cube is a glass.

All bats are cubes.

Conclusions:

I. Some stones being bats is a possibility.

IL. No bat is a glass.

III. All cubes are bats.

IV. No stone is a glass.

(a) Only Conclusions I, II and IV follow
(b) Only Conclusions II and III follow
(c) Only Conclusions I and II follow
(d) Only Conclusion I follows

Correct Answer: (c) Only Conclusions I and II follow

Solution:From Ven-Diagram

Hence,

We can clearly say that only Conclusions I and II follow.

15. Statement : [SSC CPO 10/11/2022 (Evening)]

Some pens are markers.

All markers are crayons.

Conclusions:

I. All pens can never be crayons.

II. At Least some crayons are pens.

(a) Only conclusion I follows
(b) Neither conclusion I nor II follows
(c) Both conclusions I and II follow
(d) Only conclusion II follows

Correct Answer: (d) Only conclusion II follows

Solution:From Ven-Diagram

Hence,

Only conclusion II follows.

16. Statements : [Graduate Level 01/08/2022 (Shift-4)]

Some C are P.

No C is a T.

All P are S.

Conclusions:

I. All S being C is a possibility.

II. At least some T are not C.

III. Some P are not T.

(a) All conclusions I, II and III follow
(b) Only conclusions II and III follow
(c) Only conclusion I follows
(d) Only conclusions I and III follow

Correct Answer: (a) All conclusions I, II and III follow

Solution:From Ven-Digram

17. Statements : [Graduate Level 01/08/2022 (Shift-4)]

No Mango is a banana.

No banana is a guava.

Some guavas are oranges.

Conclusions:

I. Some mangoes are oranges.

II. Some guavas are mangoes.

III. No orange is a banana.

(a) Only conclusion II follows
(b) Conclusions I, II and III follow.
(c) None of the conclusions follow
(d) Only conclusion I follows.

Correct Answer: (c) None of the conclusions follow

Solution:From Ven-diagram,

Hence,

None of the conclusions follow.

18. Statements : [SSC MTS 25/07/2022 (Evening)]

I. No X is C.

II. Some A are C.

Conclusions:

I. Some C are not X.

II. Some A are X is a possibility.

III. All C are A.

(a) Only conclusions I and II follow
(b) All the conclusions follow
(c) Only conclusion II and III follow
(d) Only conclusion III follows

Correct Answer: (a) Only conclusions I and II follow

Solution:From Ven-Diagram,

Hence,

Only conclusions I and II follow

19. Statements : [SSC MTS 14/07/2022 (Afternoon)]

I. Most of the engineering students are adults.

II. Harsh is an adult.

Conclusion:

I. Harsh is an engineering student.

II. Some engineering students are not adults.

(a) Both conclusion I and conclusion II follow.
(b) Only conclusion I follows.
(c) Only conclusion II follows.
(d) Neither conclusion I nor conclusion II follows.

Correct Answer: (c) Only conclusion II follows.

Solution:From Ven-Diagram,

Clearly, we can see that some engineering students are adults but it is not definite that Harsh is an engineering student.

Hence,

Only conclusion II follows.

20. Statements : [SSC MTS 13/07/2022 (Morning)]

I. No 90s are 80s.

II. Some 90s are 40s.

III. All 80s are 70s.

Conclusions:

I. All 80s being 40s is a possibility.

II. Some 70s are not 90s

(a) Only conclusion II follows.
(b) Only conclusion I follows.
(c) Both conclusions I and II follow.
(d) Neither conclusion I nor II follow.

Correct Answer: (c) Both conclusions I and II follow.

Solution:From Ven-Diagram,

Hence,

Clearly, we can see that both conclusions I and II follow.

Syllogism (Varieties Questions)

11. Statements :

12. Three Statements are given followed by four conclusions numbered 1, 2, 3, and 4. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically does NOT follow(s) from the statements. [SSC CGL Tier II (02/03/2023)]

13. Statements : [SSC CGL 03/12/2022 (1st Shift)]

14. Statements : [SSC CGL 01/12/2022 (4th Shift)]

15. Statement : [SSC CPO 10/11/2022 (Evening)]

16. Statements : [Graduate Level 01/08/2022 (Shift-4)]

17. Statements : [Graduate Level 01/08/2022 (Shift-4)]

18. Statements : [SSC MTS 25/07/2022 (Evening)]

19. Statements : [SSC MTS 14/07/2022 (Afternoon)]

20. Statements : [SSC MTS 13/07/2022 (Morning)]

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