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10/12/2015 Bankers Adda: Mission IBPS : Syllogisms Concepts
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TUESDAY, 25 AUGUST 2015
Mission IBPS : Syllogisms ConceptsSYLLOGISMS NOTES AND CONCEPTS:
Hello readers, since some of you face problem in solving syllogisms,here are all the concepts that you will need in solving any type ofquestion. Tomorrow an assignment on syllogisms will be put up. Sounderstand and practice.
4 Types of Statementsa)Universal Statements (All Type Statements)
1)Universal Affirmative/Positivei.e. All A’s are B’s
Note: Converse All B’s Are A’s is a Possibility
2)Universal Negative : All A’s are not B
Converse All B’s are not A
b)Particular Statements3)Particular Affirmative/Positive
Some A’s are B’s
Converse : Some B’s are A’s
4)Particular Negative
Some A’s Are Not B
Converse : Some B’s are not A is a possibility
Learn the following tables with logic:
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10/12/2015 Bankers Adda: Mission IBPS : Syllogisms Concepts
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Other names of all, some, All not & possibilities
Important Note: 1.“Only A are B” means “All B’s are A’s” i.e. subject and predicate – change2.“All A’s are definitely” means “All A’s are B’s”3.“None but A is B” means Only A is B which in turn means “All B’s are A’s”4. A is B means all A is B.
In each question there are five options available, learn these by heart but notnecessarily in the same order.1) only answer 1 is true2)only answer 2 is true3) either 1 or 2 is true4) neither 1 nor 2 is true5) both 1 and 2 are true.This sequence will be used in the below questions...so do not getconfused if numbers 1,2,3,4,5 are used in place of answer.
EITHER OR CONCLUSIONS(Qest.) Some A’s are B’s Some B’s are C’s
Conclusions :
Case (1) (a) No A is C (F)(b) Some A’s are C’s (F) (3)
Note : Here both statements are false as from the diagram nothing definitecan be known about relation b/w A and C had the word possibility added tothe statements then they would have been true.Case (2) (a) No A is C is a possibility (T) (b) Some As are C’s (F) (1)
Case (3) (a) No A is C (F) (2) (b) Some A’s are C’s is a possibility (T) (2)
Case (4)(a) No A is C is a possibility (T) (b) Some A’s are C’s “ “ (T) (5)
Conditions of Either Or :(1) Subject Predicate should be same in both statements(2) Complimentary pairs i.e. one should be positive and one should benegative (3) Maximum possibility i.e. maximum diagrams possibility should be covered(4) Individually both false(5) relation between subject and predicate should not be clear.(6) Either or condition not applicable between All and no type sentences.
i.e. All A’s are C’s (F) No A’s are C’s (F) – then it is (4) and not (3)
But If it is:All A’s are C’s
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10/12/2015 Bankers Adda: Mission IBPS : Syllogisms Concepts
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All A’s are C’sSome A’s are not C’s (F) –the ans is (3)ORBut if it is:No A’s are C’sSome A’s are not C’s then also ans is (3)This is applicable between all & some statements
Note: No C is A can also be written as no A is C. Similarly some A is C =some C is A. So subject is equal to predicate.
ANOTHER METHOD FOR SOLVING SYLLOGISMS : (Note : if method 1is clear then you do not need this but never the less go through as it helps inclearing the concepts )
RULE METHOD ( learn by heart these)Rule 1.All + are = AllEx. All A’s are B’sAll B’s are C’s
Rule 2.Some + All = someEx. Some A’s Are B’sAll B’s Are C’s∴ Some A’s are C’s
Rule 3.All + Some = no definite conclusionEx. All A’s are B’sSome B’s are C’s∴ Relationship between A and C is a possibility
Rule 4.Some + Some = No definite conclusion Rule 5. Some + No = Some not (forward i.e. A to C) Ex. Some A’s are B’s No B’s are C’s ∴ Some A’s are not C’s
Rule 6. No + Some = Some not (back words i.e. C to A)Ex. No A’s are B’sSome B’s are C’s∴ Some C’s are not A
Rule 7.No + No = no definite conclusion Ex. No A’s are B’sNo B’s are C’s
∴ Relation between is a possibilities
Rule 8.Some not + Some not = no definite conclusion (NDC)Ex. Some A’s are not B Some B’s are not C
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10/12/2015 Bankers Adda: Mission IBPS : Syllogisms Concepts
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Rule 9. All + Some not = N D C
Rule 10. Some + Some not = N D C
Rule 11. Not + Some not = N D C
Ex:Some Blue are PinkAll Pink are OrangeNo Orange is WhiteOnly Grey are White
1.Conclusion:(a) No White is Orange(b) Some Orange is Blue
2.Conclusion:(a) Few White are Grey(b) No Orange is Blue
3.Conclusion:(a) Pink is White(b) 100% White can be Orange
4.Conclusion:(a) Some Pink are not White(b) Grey can be White
5.Conclusion:(a) Some Pink may be White(b) Some White may be Blue
6.Conclusion:(a) Some Blue are White (B) No Blue is White
Ans.(1)(a) T (b) T–(5)
(2)(a) T (b) F(1)
(3) (a) F (b) F–(4)
(4) (a) T (b) T–(5)
(5) (a) F (b) T–(2)
(6)(a) F (b) F–(3)
(Q.)All Blue are Pink No Pink is Orange Only Blue are White Some Pens are Boxes No Boxes are Scales
Note :Whenever there are diagrams without relation then all statementswhether positive or negative have to be with possibility.
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(9) Some Scales may be Blue & White(10) All Pink Blue & White & Boxes being Scales is a possibility (11) All Scales Pens & Orange being White is a possibility(12) Almost Orange & Pink can be a combination part of pens & Boxes
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