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Syllogism Complete Notes | न्यायवाक्य सम्पूर्ण नोट्स

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A syllogism question provides two or more statements and asks which conclusions logically follow.

Syllogism में दो या अधिक कथन दिए जाते हैं और यह निर्धारित करना होता है कि कौन-सा निष्कर्ष तार्किक रूप से सही है।


Four Basic Statement Types

All A are B

A पूरी तरह B के अंदर होगा।

No A is B

A और B अलग-अलग होंगे।

Some A are B

A और B का कुछ भाग समान होगा।

Some A are not B

A का कम-से-कम कुछ भाग B के बाहर होगा।


Important Rule

Do not use real-world knowledge.

वास्तविक दुनिया का ज्ञान प्रयोग न करें।

If statement says:

“All cats are birds”

it must be treated as logically true within the question.

यदि प्रश्न कहता है “सभी बिल्ली पक्षी हैं”, तो Syllogism में उसे दिए गए कथन के रूप में सत्य मानना होगा।


Definite Conclusions

If:

All A are B
All B are C

Then:

All A are C


If:

Some A are B
All B are C

Then:

Some A are C


If:

No A is B
Some C are A

Then:

Some C are not B


Conversion Rules

No A is B

Can be converted to:

No B is A

Some A are B

Can be converted to:

Some B are A

All A are B

Do not automatically conclude All B are A.


Syllogism Practice — 30 Questions

न्यायवाक्य अभ्यास — 30 प्रश्न

For each question determine which conclusion follows.


Q1

Statements:
All roses are flowers.
All flowers are plants.

Conclusion: All roses are plants.

Answer: Follows / अनुसरण करता है


Q2

All pens are stationery.
All stationery are useful.

Conclusion: All pens are useful.

Answer: Follows


Q3

All cats are animals.
Some animals are black.

Conclusion: Some cats are black.

Answer: Does not follow


Q4

Some books are novels.
All novels are interesting.

Conclusion: Some books are interesting.

Answer: Follows


Q5

No apple is banana.
Some fruits are apples.

Conclusion: Some fruits are not bananas.

Answer: Follows


Q6

All A are B.
No B is C.

Conclusion: No A is C.

Answer: Follows


Q7

Some A are B.
No B is C.

Conclusion: Some A are not C.

Answer: Follows


Q8

All teachers are educated.
Some educated people are writers.

Conclusion: Some teachers are writers.

Answer: Does not follow


Q9

No cars are bicycles.
No bicycles are buses.

Conclusion: No cars are buses.

Answer: Does not follow


Q10

Some boys are players.
All players are fit.

Conclusion: Some boys are fit.

Answer: Follows


Q11

All mangoes are fruits.
No fruit is stone.

Conclusion: No mango is stone.

Answer: Follows


Q12

Some doctors are singers.
Some singers are dancers.

Conclusion: Some doctors are dancers.

Answer: Does not follow


Q13

All A are B.
All B are C.
All C are D.

Conclusion: All A are D.

Answer: Follows


Q14

No A is B.

Conclusion: No B is A.

Answer: Follows


Q15

Some A are B.

Conclusion: Some B are A.

Answer: Follows


Q16

All A are B.

Conclusion: All B are A.

Answer: Does not follow


Q17

Some engineers are teachers.
No teacher is doctor.

Conclusion: Some engineers are not doctors.

Answer: Follows


Q18

All birds are animals.
Some birds are white.

Conclusion: Some animals are white.

Answer: Follows


Q19

No student is lazy.
Some boys are students.

Conclusion: Some boys are not lazy.

Answer: Follows


Q20

All P are Q.
Some R are Q.

Conclusion: Some R are P.

Answer: Does not follow


Q21

Some A are not B.

Conclusion: Some A exist.

Answer: Follows


Q22

Some books are expensive.
All expensive things are valuable.

Conclusion: Some books are valuable.

Answer: Follows


Q23

No dogs are cats.
Some cats are white.

Conclusion: Some white things are not dogs.

Answer: Follows


Q24

All doctors are graduates.
All graduates are literate.

Conclusion: All doctors are literate.

Answer: Follows


Q25

Some politicians are lawyers.
No lawyer is judge.

Conclusion: Some politicians are not judges.

Answer: Follows


Q26

Some cars are electric.
Some electric vehicles are expensive.

Conclusion: Some cars are expensive.

Answer: Does not follow


Q27

All A are B.
Some B are C.

Conclusion: Some A are C.

Answer: Does not follow


Q28

No A is B.
All C are A.

Conclusion: No C is B.

Answer: Follows


Q29

Some A are B.
Some B are C.

Conclusion: Some A are C.

Answer: Does not follow


Q30

All scientists are intelligent.
No intelligent person is careless.

Conclusion: No scientist is careless.

Answer: Follows




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