Basic Concept Of SYLLOGISM

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Syllogism For Bannking/SSC/RAILWAY

Logical Reasoning Formulas

Some rules to solve the problem of Syllogism for Banking/SSC/RAILWAY Logical Reasoning are as follows.

  • All +All=All
  • All +No=No
  • All +Some=No conclusion
  • Some +All=Some
  • Some +No= Some Not
  • Some +Some= No Conclusion
  • No +All = Some Not(Reversed)
  • No +Some=Some Not (Reversed)
  • No +No=No Conclusion

Ways to determine conclusion of syllogism for BANKING/SSC/RAILWAY exam.

There are two ways to determine that which conclusion will follow.

  1. The Venn Diagram Method.
  2. The Analytical Method.

Venn Diagram Method.

Another method of solving such type of questions is by drawing Venn diagram representing the statements. However, it is important that all possible Venn diagrams show as. If a conclusion can be deduced from all the possible solutions then that conclusion is true. If the conclusion can be concluded from one of the possible Venn diagram and not from the other possible Venn diagram then that conclusion is taken as false.

Therefore, Let’s have a look at the table below to understand Syllogism more clearly

Analytical Method.

Following are the four major types of statements generally asked:

While deriving conclusions, following points should be kept in mind:

  • With two particular statements, no universal conclusion is possible.
  • With two positive statements, no negative conclusion is possible.
  • With two negative statements, no positive conclusion is possible.
  • With two particular statements, no conclusion is possible, except when an ‘I’ type of statement is given and then by reversing it, an ‘I’ type of conclusion is given.
Important points related to conclusions drawn from single statements.
  • A statement of type ‘E’ when reversed, gives a conclusion of type ‘E & O’.
  • A statement of type ‘A’ when reversed, gives a conclusion of type ‘I’.
  • A statement of type ‘I’ when reversed, gives a conclusion of type ‘I’
  • A statement of type ‘O’ when reversed, does not give a conclusion of any type.

Syllogism for BANKING/SSC/RAILWAY Logical Reasoning Shortcut Tricks

Some steps to convert a solution into the possibility are given below:

  1. If All A are B, then it can be said – Some B are not A is a Possibility.
  2. If Some B are not A, then it can be said – All A are B is a possibility.
  3. If Some A are B, then it can be said – All A are B is a Possibility and All B are A is a Possibility.
  4. All Some <———> Not Reversed
  5. Some <———-> All
  6. NO Conclusion = Any Possibility is true

Some implementations for the solution from a single statement are given below:

Hence, Let’s have a look at the table below to understand Syllogism more clearly

Solved Examples of Syllogism for BANKING/SSC/RAILWAY

Alternative example 2:

  • Statements:
  • All flowers are candles.
  • All lanterns are candles.
  • Conclusions:
  • Some flowers are lanterns.
  • Some candles are lanterns.

Solution: Three possible diagrams is show in the above for the given statements.
Conclusion I follows from last two possible solutions, but does not follow from the first possible solution. Therefore, this conclusion is false.
Conclusion II follows from all the three possible solutions.
Therefore, conclusion II is true

Some question to practice Syllogism for BANKING/SSC/RAILWAY

Directions (1–15): In each of the questions given below are given some statements followed by some conclusions. Read all conclusions and give the answer as follows:

(a) If only conclusion I follows. (b) If only conclusion II follows. (c) If either conclusion I or II follows. (d) If neither conclusion I nor II follows.

1. Statements:

  • All cots are tables.

  • All tables are trains.

  • All trains are buses.

Conclusions: I. All tables are buses. II. All trains are tables.

2. Statements:

  • Some mobile are computers.

  • Some computers are calculators.

  • Some calculators are phones.

Conclusions: I. Some phones are computers. II. Some computers are mobile.

3. Statements:

  • All spoons are bowls.

  • Some bowls are glasses.

  • Some glasses are plates.

Conclusions: I. Some glasses are spoons. II. Some plates are bowls.

4. Statements:

  • Some envelopes are packets.

  • Some packets are boxes.

  • All boxes are parcels.

Conclusions: I. Some parcels are packets. II. Some parcels are envelopes.

5. Statements:

  • Some cards are plastics.

  • Some plastics are metals.

  • All metals are pots.

Conclusions: I. Some pots are cards. II. No pot is a card.

6. Statements:

  • Some desks are tents.

  • Some tents are rivers.

  • All rivers are ponds.

Conclusions: I. Some ponds are tents. II. Some ponds are desks.

7. Statements:

  • All cots are pens.

  • Some pens are knives.

  • All knives are rats.

Conclusions: I. Some rats are cots. II. Some rats are pens.

8. Statements:

  • Some forests are huts.

  • Some huts are walls.

  • Some walls are nets.

Conclusions: I. Some nets are forests. II. Some nets are huts.

9. Statements:

  • All tables are windows.

  • All windows are rooms.

  • All rooms are buses.

Conclusions: I. Some buses are tables. II. No rooms are tables.

10. Statements:

  • Some trees are boxes.

  • All boxes are bricks.

  • All bricks are dogs.

Conclusions: I. No dogs are trees. II. Some bricks are trees.

11. Statements:

  • All goats are flowers.

  • No flower is branch.

  • Some branches are roots.

Conclusions: I. Some roots are goats. II. No root is goat.

12. Statements:

  • All pots are rings.

  • All bangles are rings.

  • All rings are paints.

Conclusions: I. Some paints are not pots. II. Some bangles are paints.

13. Statements:

  • Some pens are books.

  • All books are pencils.

  • All pencils are jars.

Conclusions: I. No books are jars. II. Some pens are pencils.

14. Statements:

  • Some bowls are spoons.

  • Some spoons are forks.

  • All forks are plates.

Conclusions: I. Some bowls are forks. II. Some spoons are plates.

15. Statements:

  • Some bottles are jars.

  • All jars are buckets.

  • All buckets are tanks.

Conclusions: I. All jars are tanks. II. No buckets are tanks.

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