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1 Syllogism THE UNIQUE ACADEMY 1 Concept 1: Statement : All A is B Venn diagram: Conclusion: AllA is B, Some A is B, Some B is A 2 Concept 2: Statement: Some Apple is Fruit. Some Fruit is Mango Conclusion: Some Apple is Fruit Some Fruit is Apple Some Fruit is Mango Some Mango is Fruit 3 Concept 3: Statement: Some A is B. All B is C Conclusion: Some A is C Some C is A Some C is B Some B is C All B is C 4 Concept 4: statement: All A is B. Some Conclusion : All A is B Some A is B Some B is A Some B is C Some C is B // Note: there is no direct relation between A & C, so it is not possible to derive any conclusion between A & C. 5 Concept 5: Statement: All B is A. All C is A
2 Conclusion: All B is A All C is A Some B is A Some A is B Some C is A Some A is C // Note: there is no direct relation between B & C, so it is not possible to derive any conclusion between B & C 6 Concept 6: Statement: No A is B 8. Concept 7: Statement: Some Apple is Fruit. No Fruit is Mango Conclusion: Some Apple is Fruit Some Fruit is Apple No Fruit is Mango No Mango is Fruit and so on....... Possibility Case Rule 1: All A is B Conclusion: No A is B No B is A Some A is not B Some B is not A 7 Concept 7: Statement: All A is B. No B is C Possibility: All B being A is a possibility Rule 2: Some A is B Conclusion: All A is B Some A is B Some B is A No B is C No C is B Some B is not C Some C is not B No A is C No C is A Some A is not C Some C is not A Possibility: All A being B is a possibility All B being A is a possibility
3 Q 1. In each of the given questions, a few statements have been given followed by two conclusions based on them. Consider the statements to be true and answer which of the given conclusions logically follow the statement. Statement I: Some plums are peaches Statement II: All peaches are apples Statement III: Some apples are mangoes Conclusion I: Some mangoes are peaches Conclusion II: Some apples are peaches 1. If only conclusion I follow 2. If only conclusion II follows 3. If conclusion I and II both follow 4. If neither conclusion I nor conclusion II follows 5. If either conclusion I or conclusion II follows Q 2. Statement I: All trees are shrubs Statement II: No shrub is a sapling Statement III: All saplings are grass Conclusions I: No tree is a grass Conclusion II: Some saplings being trees is a possibility 1. If only conclusion I follow 2. If only conclusion II follows 3. If conclusion I and II both follow 4. If neither conclusion I nor conclusion II follows 5. If either conclusion I or conclusion II follows Q 3. Statement I: Some green is red Statement II: Some red is blue Statement III: All blue is yellow Conclusion I: Some yellow is green Conclusion II: Some yellow is red 1. If only conclusion I follow 2. If only conclusion II follows 3. If conclusion I and II both follow 4. If neither conclusion I nor conclusion II follows 5. If either conclusion I or conclusion II follows Q 4. Statement I: Some money is cash. Statement II: Some cash are draft Statement III: All drafts are bills Conclusion I: Some money are draft Conclusion II: Some money is bills
4 1. If only conclusion I follow 2. If only conclusion II follows 3. If conclusion I and II both follow 4. If neither conclusion I nor conclusion II follows 5. If either conclusion I or conclusion II follows Q 5. Statement I: All books are diary Statement II: Some diaries are notebooks Statement III: All notebooks are notepads Conclusion I: Some notepads are diary Conclusion II: Some notepads are books 1. If only conclusion I follow 2. If only conclusion II follows 3. If conclusion I and II both follow 4. If neither conclusion I nor conclusion II follows 5. If either conclusion I or conclusion II follows Q 6. Statement I: Some gold are platinum Statement II: Some platinum are silver Statement III: Some silver are zinc Conclusion I: Some gold are silver Conclusion II: Some zinc are platinum 1. If only conclusion I follow 2. If only conclusion II follows 3. If conclusion I and II both follow 4. If neither conclusion I nor conclusion II follows 5. If either conclusion I or conclusion II follows Q 7. Statement I: Some mobiles are telephone Statement II: No cordless is mobile. Statement III: Some tablets are mobiles Conclusion I: No mobile is cordless Conclusion II: All telephone being tablets is a possibility 1. If only conclusion I follow 2. If only conclusion II follows 3. If conclusion I and II both follow 4. If neither conclusion I nor conclusion II follows 5. If either conclusion I or conclusion II follows Q 8. Statement I: Some Gmail is yahoo Statement II: No yahoo is Instagram Statement III: All Instagram is twitter Conclusion I: Some twitter being Gmail is a possibility

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