Today I am going to share King Soldiers and Public technique to solve Inequalities. By using this technique, you can solve any question from Inequalities within 10 seconds. In every exam, at least 5 questions are asked from this topic.
Whenever the soldiers face each other means again war(same apply here). In other words conclusion will be wrong.
Note: Two signs opposite to each other will make the conclusion wrong But again if the signs are same then it will be true.
like this
If A ≥ B ≤C then A ≤ C = False , C ≥ A = False .
But
If A ≥ B ≥ C then A ≥ C = True , C ≤ A = True .
Statement: P ≥ R > Q = T ≥ S
Conclusions :
I. P ≥ Q → False
II. P > Q → True
III. Q ≥ S → True
Points to remember
- King is more powerful than Soldiers
- Soldiers are more powerful than Public
- Whenever there is a conflict between two Kings, then there will be no conclusion
- When there is a conflict between two soldiers, then there will be no conclusion
Let King means < or >
Soldier means ≥ or ≤
Public means =
Case 1. 'King vs King'
Suppose there is a war going on between two kings.Whenever the two kings faces each other means war. In other words conclusion will be wrong.
Note: Two signs opposite to each other will make the conclusion wrong But again if the signs are in same manner that will not make it wrong.
like this
If A > B < C > D then A < C = False , C > A = False .
But
If E > F > G > H then E > G = True , F > H = True , E > H = True.
Note: Two signs opposite to each other will make the conclusion wrong But again if the signs are in same manner that will not make it wrong.
like this
If A > B < C > D then A < C = False , C > A = False .
But
If E > F > G > H then E > G = True , F > H = True , E > H = True.
Statement: A < D > C < E > B
Conclusions:
- C > B → False
- A < E → False
- D > B → False
In simple way ,Whenever these two sign comes in opposite direction the answer will be false.
Case 2. ' Soldier vs Soldier'
Whenever the soldiers face each other means again war(same apply here). In other words conclusion will be wrong.
Note: Two signs opposite to each other will make the conclusion wrong But again if the signs are same then it will be true.
like this
If A ≥ B ≤C then A ≤ C = False , C ≥ A = False .
But
If A ≥ B ≥ C then A ≥ C = True , C ≤ A = True .
Example
Statement: B ≥ D ≤ A ≥ F ≤ C
Conclusions :
I. A ≥ C → False
II. B ≤ F → False
III. D ≥ C → False
Case 3. Sets Priority:
If they all are comes in order then kings’ priority will be first ,soldier's second and public at last.Conclusions :
I. P ≥ Q → False
II. P > Q → True
III. Q ≥ S → True
Case 4.
When it occurs to you that the statement of order is opposite just change the sign into similar opposite direction
Change the sign into similar opposite /corresponding / alternative direction .
If A > B > F > C < D < E
than F < A → True [ ∵ A > B > F = F < B < A ]
than F < A → True [ ∵ A > B > F = F < B < A ]
Example:
Statements : A>B>F>C; D>E>C
Conclusions:
I. C < A → True
II. C > A → False
I. C < A → True
II. C > A → False
Statements : R ≥ S ≥ T > U > X ; T < V <W
Conclusions:
I. R > X → True [Note: Apply Case 3 here ]
II. X < R → True [Note: Apply Case 3 & 4 here ]
Conclusions:
I. R > X → True [Note: Apply Case 3 here ]
II. X < R → True [Note: Apply Case 3 & 4 here ]
Statements : K ≤ L ≤ M = N ; P ≥ O ≥N
Conclusions:
K ≤ L ≤ M = N ≤ O ≤ P
I. K < P → False
II. K = P → False
III. K ≤ M → True
IV K ≤ P → True
V P ≥ K → True
Note :- Many of you might find this trick funny and baseless but it works ! I have lot more tricks to share. Stay updated.
Give me your opinion in the comments.
Image source - Deposit photos, Shutter stock
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