Reasoning Tricks How to Solve Syllogism in Few Seconds With Example

How to Solve Syllogism in Few Seconds With Example - Best Reasoning Tips and Tricks - Shortest Tricks to Solve Reasoning Syllogism.

Syllogism is one of the mandatory part covers 5-8 questions in SSC IBPS CTET HTET or other competitive exam format which need to be solved with 2-3 minutes. These are used to check logical level of a candidate.
Syllogism is very easy section to solve so must be candidate first choice to crack reasoning section and helps in getting cut-off score to crack exam.

Reasoning Tricks How to Solve Syllogism in Few Seconds


There are many methods provided to solve syllogism.
Van diagram is a common method to tackle such questions. But it is not reliable and accurate method to reach the answer because of its confusing nature which increases time to solve such questions.
INCOME-EXPENDATURE METHOD is one of the best methods with 100% accuracy to solve such questions. It is quick and reliable method also.
RULES FOR INCOME-EXPENDATURE METHOD:
INCOME-EXPENDATURE METHOD is based on rules. Remember these rules to solve syllogism quickly with 100% accuracy.
Let statements provided in syllogism questions are income of a person which follows as:
·         ALL = Rs 10
·         SOME = Rs. 5
·         NO = Rs. 10
TWO MOST IMPORTANT RULES: Four Check Rules must be qualified to follow conclusions.
·         First Check for Mathematical Conclusions
a.      Remember Golden Rule for conclusion
·         A single positive (+) statement will never follows a negative (-) conclusion.
·         A single negative (-) statement will never follows a positive (+) conclusion.
b.      Two statements conclusions:
·         Both positive (+) statements will follow a positive (+) conclusion only i.e. +ve & +ve = +ve.
·         One positive (+) and one negative (-) statements will follow a negative (-) conclusion i.e. +ve & -ve = -ve or -ve & +ve = -ve.
·         Both negative (-) statements will follow a positive (+) conclusion only i.e. –ve & -ve = +ve.
c.       Three statements conclusions:
·         All positive (+) statements will follow a positive (+) conclusion only i.e. +ve & +ve & +ve = +ve.
·         If any one of negative (-) statements in all three statement results a negative (-) conclusion i.e. +ve & +ve & -ve = -ve or –ve & +ve & +ve = -ve or –ve & +ve & +ve = -ve.
·          All positive (+) statements will follow a positive (+) conclusion only i.e. +ve & +ve & +ve = +ve.
·         Second Check for link of statements:
Two persons of same name and income can form link which combine two or three statement to make conclusion.
·         Third Check for Income-Expenditure Conclusion:
a.       Income is used for statement and Expenditure is used for conclusion.
b.      Remember that a person having income Rs. 100 can make expenditure of Rs. 50 but a person having income Rs. 50 only can never make expenditure of Rs. 100.
·         Fourth Check for Either-Or case
If two statements one must be positive (+) and other must be negative (-) & both do not follow conclusion but having same persons (name) appear as Either-Or Case conclusion.

Case I: Affirmative statement (Positive Statement)
Let’s take a statement to understand income of a person.
All
A
is
B
Statement
Income
Rs. 10

Rs. 50
+ve

In this case, A has income Rs. 100 and B has income Rs. 50.
Case II: Affirmative statement (Positive Statement)
Let’s take a statement to understand income of a person.
Some
A
is
B
Statement
Income
Rs. 50

Rs. 50
+ve

In this case, A has income Rs. 50 and B has income Rs. 50.
Case III: Negative Statement
Let’s take a statement to understand income of a person.
No
A
is
B
Statement
Income
Rs. 100

Rs. 100
-ve

In this case, A has income Rs. 100 and B has income Rs. 100.
Case IV: Combined Statement
Let’s take a statement to understand income of a person.
Some
A
is NOT
B
Statement
Income
Rs. 50

Rs. 100
-ve

In this case, A has income Rs. 50 and B has income Rs. 100.

Question 1:
Read the following statement and make conclusions.
a.       All flowers are houses.
b.      Some houses are tigers.
c.       No tigers are goats.
Conclusions:
I.       Some goats are flowers.
II.    Some tigers are flowers.
III. No flowers are goats.
IV. Some houses are flowers.

(1)   Only I and II follows.
(2)   Only II and III follow.
(3)   Only I and III follow.
(4)   All I, II, III and IV follow.
(5)   None of these
Solution: Check out each statement by using Income-Expenditure Method:
Statement 1: All flowers are houses.
All
flowers
are
houses
Statement
Income
Rs. 100

Rs. 50
+ve
In this case, flowers have income Rs. 100 and houses have income Rs. 50.
Statement 2: Some houses are tigers.
Some
houses
are
tigers
Statement
Income
Rs. 50

Rs. 50
+ve
In this case, houses have income Rs. 50 and tigers have income Rs. 50.
Statement 3: No tigers are goats.
No
Tigers
are
goats
Statement
Income
Rs. 100

Rs. 100
-ve
In this case, tigers have income Rs. 100 and goats have income Rs. 100.
NOW CHECK THE CONCLUSIONS:
Conclusion I: Some goats are flowers.
Some
goats
are
flowers
Conclusion
Expendature
Rs. 50

Rs. 50
+ve
In this case, flowers have expenditure Rs. 50 and flowers have expenditure Rs. 50.
·         First Check for Mathematical Conclusion:
Goat are provided in statement 3 (-ve) and flowers are provided in statement 1 (+ve). Thus –ve & +ve statements combines to give –ve conclusion. But the provided conclusion is +ve. This conclusion does not qualify first check. (No need to check further)
Thus conclusion I do not follow.
Conclusion II: Some tigers are flowers.
Some
tigers
are
flowers
Conclusion
Expendature
Rs. 50

Rs. 50
+ve
In this case, tigers have expenditure Rs. 50 and flowers have expenditure Rs. 50.
·         First Check for Mathematical Conclusion:
Tigers are provided in statement 3 (-ve) and flowers are provided in statement 1 (+ve). Thus –ve & +ve statements combines to give –ve conclusion. But the provided conclusion is +ve (See rules). So it does not qualify first check.
Thus conclusion II do not follow.
Conclusion III: No flowers are goats.
No
flowers
are
goats
Conclusion
Expendature
Rs. 100

Rs. 100
-ve
In this case, flowers have expenditure Rs. 100 and goats have expenditure Rs. 100.
·         First Check for Mathematical Conclusion:
Flowers are provided in statement 1 (+ve) and goats are provided in statement 3 (-ve). Thus –ve & +ve statements combines to give –ve conclusion. The provided conclusion is –ve means the conclusion follow this rule (See rules). Thus first check is qualified. Now make second check for link of statements.
·         Second Check for link of statements:
Check above link between statement 1, 2 & 3.
a.       Check link between statements 2 & statement 3:
In above statement 2 & 3 tigers have same incomes i.e. Rs. 100 (statement 2) & Rs. 100 (statement 3) which means that these two statements can be connected through houses.
(As statement 2 is positive and statement 3 is negative results in negative conclusion i.e. +ve & -ve = -ve.)
Statement 2: Some houses are tigers (+ve)
Statement 3: No tigers are goats (-ve)
(Link established by tiger)

b.      Check Connection between statement 1 & statement 2: A link means the conclusion can move from one statement to another statement.
In above two statements 1 & 2, houses have same incomes i.e. Rs. 50 (statement 1) & Rs. 50 (statement 2) which means that these two statements can’t have link by houses.
(As both statements are positive results in +ve conclusion i.e. +ve & +ve = +ve.)
(For connection any two statements must have income at least Rs. 100 i.e. houses must have income Rs. 100 in any of the statements).
Now from above check it is clear that Statement 1 and Statement 2 do not have link (as discussed above). So this check is not qualified.
Thus conclusion III do not follow.
Conclusion IV: Some houses are flowers.
Some
houses
are
followers
Conclusion
Expendature
Rs. 50

Rs. 50
+ve
In this case, houses have expenditure Rs. 50 and follow have expenditure Rs. 50.
·         First Check for Mathematical Conclusion:
Houses and flowers are provided in statement 1 (+ve). Thus +ve statements follow +ve conclusion. The provided conclusion is +ve means first check is qualified. Now make second check for link of statements.
·         Second Check for link of statements:
The statement is single need not to check link of statement.
·         Third Check for  Income-Expenditure conclusion:
In statement 1 houses have income Rs. 50 can make expenditure of Rs. 50 which is provided in the conclusion for houses means it qualified. Again In statement 1 flowers have income Rs. 100 can make expenditure of Rs. 50 provided in the conclusion for houses means it qualified. Thus all three rules are qualified.
Thus conclusion IV follows.
FINALLY CHECK FOR EITHER-OR CASE:
Now two statements 1 which is positive (+) and statement 3 which is negative (-), do not follow conclusion but having same persons (name) appear as Either-Or Case conclusion.
Thus Either I or III follows.

Now check the options once again for conclusions:
Use tick mark for ‘Follow’ and cross mark for ‘Not Follows’ based upon above conclusions.
Thus above question follows Conclusion IV and Either I or III conclusion case which is not present in options. So it follows option (5)- None of these.

(1)    
Only I and II follows.
X
(2)    
Only II and III follow.
X
(3)    
Only I and III follow.
X
(4)    
All I, II, III and IV follow.
X
(5)    
None of these


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