Syllogism Possibility Case

Hello Students in this article we will discuss the possibility case in the syllogism

Statement

    1. Some A are B
    1. All B are C
  1. Not C is D

Conclusion

(a) Some D Being B is a possibility

(b) Some D being A is a possibility

(c) All D being A is a possibility

Solutions

General Diagram

Now we will see the first option number

(a) Some D Being B is a possibility

So, this possibility is wrong as we cannot draw D circle in B, or no part of D touching B.

Now we will see the Second option

(b) Some D being A is a possibility

This is true, as we can draw this as given diagram.

Now we will see the Third option

  • All D being A is a possibility

This is true as we can draw D in A.

 

Here are Some Question that you can try, we will update the solution 

1) Statement 
A.Some plants are animals.
B.All animals are trees.
Conclusion
I.All animals being plants is a possibility
II.All plants being trees is a possibility
2) Statements:  
A.Some poor are rich
B. All rich are doctors.
C. Some intelligent are doctors.
Conclusions: 
I. At least some poor are intelligent.
II. All intelligent being rich is a possibility.
III. All intelligent being doctors is a possiblity.
IV. Some poor are doctors.
3) Statements: 
A. All fans are bulbs
B. All wires are holders.
C. Some wires are bulbs.
Conclusions: 
I. At least some fans are wires.
II. All holders being fans is a possibility.
III. All fans being holders is a possibility.
IV. Some holders are bulbs.
4) Statements:  
A. No saving A/c is a current A/c.
B. Some fixed deposits are saving A/c.
C. Some currents A/c are recurring deposits.
Conclusions: 
I. All saving A/c being current A/c is a possibility.
II. All fixed deposits being current A/c is a possibility.
III. All current A/c being fixed deposits is a possibility.
IV. All saving A/c being recurring deposits is a possibility.
5) Statements:
A. All shopkeepers are servants.
B. Some shopkeepers are poor.
C. No poor is rich.
Conclusions:
I. All shopkeepers, If they are poor, are also rich
II. At least some shopkeepers being rich is a possibility.
6 ) Statements:
A. All books are dictionaries.
B. Some books are diaries.
C. All dictionaries are copies
Conclusions:
I. Some books are not copies
II. All dictionaries being diaries is a possibility.
7) Statements:
A. No fan is a light.
B. All boards are fans.
C. All fans are wires.
Conclusions:
I. All boards being wires is a possibility.
II. No boards is a light.
8) Statements:
A. No oil is a bread.
B.No pot is a tap.
C. All breads are pots.
Conclusions:
I. Some oils are not pots.
II. All taps being breads is a possibility.
9) Statements:
A. Some soaps are liquid.
B. All shirts are soaps.
C. No shirt is a gold.
Conclusions:
I. Some liquid, if they are shirts are also soaps.
II. All gold being soaps is a possibility.
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