Syllogisms aptitude for the placement gh

HimanshuGupta90927 16 views 37 slides Aug 07, 2024
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SYLLOGISMS CONCEPT, RULES AND TRICKS 2/2/2024 Aptitude Session 2020-2021 1

Syllogisms : Syllogisms means ‘conclusion inference’. Syllogism is of two types : 1. Universal (Complete, =100%) 2. Particular (Incomplete, Particular ,<100%) ALL NO SOME SOME NOT SYLLOGISMS 2/2/2024 Aptitude Session 2020-2021 2

1. ALL (A - TYPE) Example : ALL Pens are Black. BLACK PENS BLACK, PENS This is a Positive statement. UNIVERSAL 2/2/2024 Aptitude Session 2020-2021 3

2 . NO (E-TYPE) Example: NO pen is Black PEN BLACK This is a Negative statement. UNIVERSAL 2/2/2024 Aptitude Session 2020-2021 4

3. SOME (I - TYPE) Example : SOME Pens are Black. PENS BLACK This is a Positive statement. PARTICULAR 2/2/2024 Aptitude Session 2020-2021 5

4. SOME (O - TYPE) Example : SOME Pens are not Black. This is a Negative statement. Pens Black PARTICULAR 2/2/2024 Aptitude Session 2020-2021 6

Statement 1 : All mangoes are Apples. Conclusion : Some Apples are not Mangoes. Some Apples are Mangoes. All Apples are Mangoes. Some Mangoes are Apples. No Apple is Mango. No Mango is Apple. Some Mango are not Apples. 2/2/2024 Aptitude Session 2020-2021 7

Statement 1 : All mangoes are Apples. Conclusion : Some Apples are not Mangoes. Some Apples are Mangoes. All Apples are Mangoes. Some Mangoes are Apples. No Apple is Mango. No Mango is Apple. Some Mango are not Apples. Apple APPLE MANGO Venn Diagram - 1 MANGO = APPLE Venn Diagram - 2 2/2/2024 Aptitude Session 2020-2021 8

Venn Diagram - 1 Venn Diagram - 2 Conclusion 1 True False Conclusion 2 True True Conclusion 3 False True Conclusion 4 True True Conclusion 5 False False Conclusion 6 False False Conclusion 7 False False 2/2/2024 Aptitude Session 2020-2021 9

Only 2 & 4 Follow. 2/2/2024 Aptitude Session 2020-2021 10

Statement 2 : Some Dogs are cats. Conclusion : Some Cats are Dogs. All Cats are Dogs. All Dogs are Cats. No Cat is Dog. No Dog is Cat. Some Cats are not Dogs. Some Dogs are not Cats. 2/2/2024 Aptitude Session 2020-2021 11

Statement 2 : Some Dogs are cats. Conclusion : Some Cats are Dogs. All Cats are Dogs. All Dogs are Cats. No Cat is Dog. No Dog is Cat. Some Cats are not Dogs. Some Dogs are not Cats. DOGS CATS CATS DOGS DOGS = CATS Venn Diagram - 1 Venn Diagram - 2 Venn Diagram - 3 2/2/2024 Aptitude Session 2020-2021 12

Venn Diagram - 1 Venn Diagram - 2 Venn Diagram - 3 Conclusion 1 True True True Conclusion 2 False True False Conclusion 3 False False True Conclusion 4 False False False Conclusion 5 False False False Conclusion 6 True False False Conclusion 7 True True False 2/2/2024 Aptitude Session 2020-2021 13

Only 1 Follows. 2/2/2024 Aptitude Session 2020-2021 14

Statement 3: NO Book is Pen. Conclusion : No Pen is Book. Some Books are not Pen. Some Pens are not Books. All Pens are Books. All Books are Pen. Some Pens are Books. Some Books are Pens. 2/2/2024 Aptitude Session 2020-2021 15

Statement 3: NO Book is Pen. Conclusion : No Pen is Book. Some Books are not Pen. Some Pens are not Books. All Pens are Books. All Books are Pen. Some Pens are Books. Some Books are Pens. BOOK PEN VENN DIAGRAM - 1 2/2/2024 Aptitude Session 2020-2021 16

Venn Diagram - 1 Conclusion 1 True Conclusion 2 True Conclusion 3 True Conclusion 4 False Conclusion 5 False Conclusion 6 False Conclusion 7 False 2/2/2024 Aptitude Session 2020-2021 17

1 , 2 & 3 follow. 2/2/2024 Aptitude Session 2020-2021 18

Statement 4 : Some rains are not Water Conclusion : Some Water are not Rains. No water is Rains. No rain is Water. Some Waters are Rains. Some Rains are Waters. All rains are Water. All Waters are Rains. 2/2/2024 Aptitude Session 2020-2021 19

Statement 4 : Some rains are not Water Conclusion : Some Water are not Rains. No water is Rains. No rain is Water. Some Waters are Rains. Some Rains are Waters. All rains are Water. All Waters are Rains. Venn Diagram -1 Venn Diagram -2 Venn Diagram -3 Rains Rains Rains Water Water Water 2/2/2024 Aptitude Session 2020-2021 20

Venn Diagram - 1 Venn Diagram - 2 Venn Diagram - 3 Conclusion 1 True False True Conclusion 2 False False True Conclusion 3 False False True Conclusion 4 True True False Conclusion 5 True True False Conclusion 6 False True True Conclusion 7 False True False 2/2/2024 Aptitude Session 2020-2021 21

None Follows 2/2/2024 Aptitude Session 2020-2021 22

RULE & TRICKS 2/2/2024 Aptitude Session 2020-2021 23

If Statement is Positive, Conclusion must to be Positive. Statement (+) Conclusion (+) If Statement is Negative, Conclusion must to be Negative. Statement (-) Conclusion (-) RULE 1 2/2/2024 Aptitude Session 2020-2021 24

ALL SOME ALL statement can be interpreted as SOME SOME SOME SOME statement can be interpreted as SOME SOME statement can not be interpreted as ALL NO SOME NOT NO statement can be interpreted as SOME NOT. RULE 2 2/2/2024 Aptitude Session 2020-2021 25

+ + + Two Positive Statements will draw Positive Conclusions. RULE 3 2/2/2024 Aptitude Session 2020-2021 26

- No Definite Conclusion - Two negative statements will draw NO Definite Conclusion. + - - One Positive and One Negative Statement will draw Negative Conclusion. 2/2/2024 Aptitude Session 2020-2021 27

All All Negative statements are TRUE - Special Case : Some Special Case - 2/2/2024 Aptitude Session 2020-2021 28

All A are (SOME) B. (POSITIVE STATEMENT) Some B are A. 2. NO A is (NO) B. . (NEGATIVE STATEMENT) NO B is A. 3. SOME A are (SOME) B. (POSITIVE STATEMENT) SOME B are A. HIDDEN 2/2/2024 Aptitude Session 2020-2021 29

2/2/2024 Aptitude Session 2020-2021 30

Statement 1 : All Clouds are Rains Statement 2 : All Rains are Waters. Conclusion : All Clouds are Water. Some Clouds are Water. Some Water are Clouds. All Water are Clouds. Some Clouds are not Water. Some Water are not Clouds. No Water is Cloud. No Cloud is Water. 2/2/2024 Aptitude Session 2020-2021 31

Statement 1 : All Clouds are Rains Statement 2 : All Rains are Waters. Conclusion : All Clouds are Water. Some Clouds are Water. Some Water are Clouds. All Water are Clouds. Some Clouds are not Water. Some Water are not Clouds. No Water is Cloud. No Cloud is Water. Clouds Rains Water VENN DIAGRAM - 1 2/2/2024 Aptitude Session 2020-2021 32

NATURE OF STATEMENT VENN DIAGRAM - 1 Conclusion 1 Positive True Conclusion 2 Positive True Conclusion 3 Positive True Conclusion 4 Positive False Conclusion 5 Negative False Conclusion 6 Negative False Conclusion 7 Negative False Conclusion 8 Negative False 2/2/2024 Aptitude Session 2020-2021 33

Statement 1 : All Cars are Buses. Statement 2 : All Buses are Trains. Statement 3 : All Trains are Planes. Conclusion : All cars are Trains. Some Trains are Cars. Conclusion : All Buses are Planes. Some Planes are Buses. Conclusion : All Cars are Planes. Some Planes are Cars. 2/2/2024 Aptitude Session 2020-2021 34

Statement 1 : All Cars are Buses. Statement 2 : All Buses are Trains. Statement 3 : All Trains are Planes. Conclusion : All cars are Trains. Some Trains are Cars. Conclusion : All Buses are Planes. Some Planes are Buses. Conclusion : All Cars are Planes. Some Planes are Cars. BUSES TRAINS PLANES VENN DIAGRAM - 1 CARS 2/2/2024 Aptitude Session 2020-2021 35

NATURE OF STATEMENT VENN DIAGRAM - 1 Conclusion 1 POSITIVE TRUE Conclusion 2 POSITIVE TRUE Conclusion I POSITIVE TRUE Conclusion II POSITIVE TRUE Conclusion A POSITIVE TRUE Conclusion B POSITIVE TRUE 2/2/2024 Aptitude Session 2020-2021 36

2/2/2024 Aptitude Session 2020-2021 37