# Reasoning Inequality Trick - Solve any Question within 10 seconds

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.

### 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

### Case 1. 'King vs King'

Suppose there is a war going on between two kings.Whenever the two kings face 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 the 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 come in order then kings’ priority will be first, soldier's second and public at last.

Statement: P ≥ R > Q = T ≥ S
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

If A > B > F > C < D < E
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

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 ]

Statements  : K ≤ L ≤ M = N ; P ≥ O ≥N
Conclusions:
K ≤  L ≤ M = N ≤ O ≤ P

III.  K ≤ M   →  True
IV   K < P    →  False
V    K = P    →  False
Statement IV & V Apply Either Or

### Case 5. Protocols

There are some rules on the battlefield which is that king only fights with king and soldier only fight with a soldier.
So Whenever you find two conclusions which are false Just check for these two symbols.In Most of the cases where two conclusions are false and these two similar signs are not there respectively than that statement, you can call it as Either Or but should check there variable it should same.

#### #Case Either Or :

Note : First thing you need to check whether in your conclusion any 2 or more conclusions are wrong
then if it is there then check whether the two variables are same If It happens then write it as 'Either or' but after checking their symbols.

Rules:
1.  Both conclusions should False
2. Should have Same Predicate or Variable
3. Check the symbols

If 3 Condition is satisfied then write it as " Either Or' Otherwise leave it.

Solved Questions :

#### #Case Neither Nor :

There are some rules in battlefield which is that king only fights with king and soldier only fight with soldier.
So Whenever you find two conclusions which are false Just check for these two symbols.In Most of the case where two conclusions are false and these two signs are not there respectively than that statement, you can call it as Neither Nor.

Note: First thing you need to check whether in your conclusion any 2 or more conclusions are wrong
then write it as 'Neither Nor' but before checking their symbols.

Rules:
1.  Both conclusion should False
2. Check the symbols

If Both  Conditions are satisfied then write it as " Neither Nor' Otherwise leave it.

### How to solve 'Either Or' & 'Neither Nor' Question

Get full-fledged ebooks containing all tricks here

Note:- Many of you might find this trick funny and baseless but it works! I have lot more tricks to share. Stay updated.

Image source - Deposit photos, Shutter stock

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1. You did a splendid job. Keep creating such out of the box idea to explain reasoning in a fun way.

2. it helps. as preli day has almost come .plz post others trick asap... as we have to practice the tricks after learning

3. plz sir send me link of online test series my email is sanjaysjadhav37@gmail.com i am waiting from yesterday time you know

4. sir there is no option to view the full q paper again after the test.plz give the option....

5. have pnb declared any joining details of clerk or any list of candidates???

6. funny and great !! - out of d box :) soopeerr sirr sopperr :)

8. What is the cut off in PO pre eaxams.
As you opening sir -_

9. M © D means M < D

D * K means D > K

K @ R means K ≤ R

R * F means R > F

Conclusions : F © K ⟶ F < K (False)
D * R ⟶ D > R (False)

how it is possible by above method?

10. I will upload more free papers here

11. statement : M < D > K ≤ R > F

conclusion : a) F < K = False (Apply Case 4 & 1 or 2)

Note: Case 1 or 2 basically says that sign in opposite direction will automatically makes the conclusion wrong.It does'nt matter whether it's king(< or >) or solder(≤ or ≥) are against each other.

b) D > R = False ( Apply Case 1 or 2)

Note: Case 1 or 2 basically says that sign in opposite direction will automatically makes the conclusion wrong.It does'nt matter whether it's king(< or >) or solder(≤ or ≥) are against each other.

12. I will enable that option

13. welcome & thanks mam

mam math main jo inequality ke questions aate hai unke bhi tricks share kare

14. raman sir bta do yaar any information about joining dates of po 4 selected candidates in punjab and sind bank

15. thank u sir thanx a lot

16. great work sir..
thanks:)

17. sir plzzzz give tricks to solve puzzels

18. Sir in your sbi prelim model paper 1 in 65 que of input output foue steps are required to complete rearrangement..nd there in ans 3rd nd 4th steps are repeated..so thats wrong na??

19. actualy not evn dat much is reqd.. its too clear in d statement only -

between K and F in d statement , der r two opposite signs ( ≤ and > ), which simply denotes dat no unique conclusion can be drawn., hence false

same goes for D and R ( > and ≤ )

20. yess i too got it as 4 steps.. 3rd and 4th steps are same as per d soln.. in d last step ( 4th step ) - b will b popped up.. dats all.. total 4 steps :)

21. sir g chaa gye tusi to...ek no sir g...

22. sir i have a doubt!
In first case,
You say Two signs opposite to each other will make the conclusion wrong But again if the signs are same then it will be true. Like that why you say this
A < E → False! But A < , < E both are same direction symbols! how it is possible? this is my big confusion! without understanding this, i unable go to next step! would you help me? please?

23. Thank u v much.. Really helpful

24. A < D > C < E > B
C > B → False
A < E → False
D > B → False Here A < E = False cauz there is a opposite sign between them. AC<E (Apply Case 1)

25. I will sure post but it will take some days...,untill plz wait!@sushil kumar

26. it is confusing rather use the water flow concept which is tremendous concept require few seconds to solve these kind of inequality.............that does not mean i am discouraging ur work............u r doing ur label best to try millions of people sir.........keep it up...................all the best

27. If ur conclusion is A > B then flow from A to B if u encounter at least one " > " symbol then the conclusion is correct.The same case also true for A < B.

In case A ≤ B then flow from A to B such that all symbols u encounter are either all " ≤ " or a mixture of " ≤ " and " = ". If u encounter any other symbol during ur encounter then the conclusion is wrong.

In case of A = B, flow from A to B and all symbols u encounter must be " = ",if u encounter any other symbol then conclusion is wrong.

in every case first move from starting to ending i.e. if A > B ,then start from A and end at B , If u are unable to move from A to B then the conclusion is wrong.

In summery , 1st move and then check the condition, if satisfied the conclusion is correct else false

28. Thanks for the post......for syllogism plz post tricks...for this venn diagram is best or not???

29. Venn diagram method is best for Syllogism

30. sir you are doing great work that cannot articulate in words
SIR
your gk digest is very good but it gives some difficulties in english
if possibel ploease give that in hindi or also daily gk quiz

thank u ::)))

31. I am bad at Hindi !

33. wow ty

34. great teaching technique!

35. plz send me ur idea of "flow chart " .i will share with other ,if found useful & Easy. my email id is vk36936@gmail.com or bankexamseditorial@gmail.com

36. mam have posted my one quaery above but sir didn't replay if possible please replay or which is your subject

37. same thing i said that Just two opposite signs makes the conclusion wrong .

38. hy.....

39. What is digest??????.....plz ans me

40. Pallavi ...Target CWE #5(pal)June 4, 2015 at 7:59 PM

Awesome learning trick..thanks a lot :)

41. thank you a lot

42. listen.. do u hav any tricks for solving machine i/p & o/p qns ?? or r u goin by d same traditional way of writing evry steps representing evry term by their first alphabet ?

43. Sir my request is post some tricks about........
statement and assumptions,
Argument, complicit, course of action etc... Plz

44. Raman sir ...
pls provide a quiz with hard level syllogisms question which are asked in sbi and ibps po examinations these days....
and if u have already provided that ....
then pls pls ..provide the link.
sir pls do the needful.. mujhe bahut jarur hai aise question ko solve karne ki..

45. Awesommmmmmmmmmmmmm..splendid

46. You can take that test again. Maximum number of attempts - 5

47. Little Chicken ☆Target PO ☆June 5, 2015 at 1:35 PM

Thnx Sir plz do post some tricks to solve quadratic equations also..

48. Little Chicken ☆Target PO ☆June 5, 2015 at 1:44 PM

Thnx Sir plz do post some tricks to solve quadratic equations also..

49. K ≤ L ≤ M = N ≤ O ≤ P
Implies IV. K ≤ P → True
which implies EITHER K < P or K = P
Therefore
I. K < P → False
II. K = P → False
are wrong it must have been
I. K < P → True
II. K = P → True

50. oh super! now i understand! thank you so much for your reply!
such a good service! i like it!

51. Thank u sir.plz sir post tricks..actually i m confuse sir in
Venn diagram in Some cases

52. I just make it easy and basic things were discussed.One time the person He/she understand the base .he/she will became capable of doing himself/herself better than us & this question is edited now for your convince.

53. I have tricks for Machine i/p and will add for u but will take some days.

54. You have edited the content, but it is still wrong. Please do not edit anything for my convenience rather edit it if you find it wrong. These are logical things and if one learns a wrong logic, it would not be possible for him/her to solve these questions ever.
Let us take the above case as example.
K ≤ L ≤ M = N ≤ O ≤ P
I. K < O → False
II. K = N → False
III. K ≤ M → True
IV K ≤ P → True
V P ≥ K → True
If we break up the above inequalities we get the following
K < L OR K = L
and same is the case for all other inequalities because they are either/or inequalities
Therefore this is possible K = L = M = N
which implies K = N, which has been given as false by Statement II.
N < O OR N = O
K = N as just proved above

Therefore K < O OR K = O
Thus K < O is true, which is given false by statement I.

55. thanku very very much ma'm.. i am awaiting for the same :) i face too much of tidiousness in dis chater.. so plzz be quick in posting tips from logical reasoning - 1 chapter per day will be very thankful :)

56. Geetanjali BarrotJune 5, 2015 at 11:57 PM

For egs in statement A>BD conclusion is A<D then which two signs to be considered between A & D?????

57. b'day treat

58. The signs between A & D

59. We rather understand through this

You are saying this

Q K ≤ L ≤ M = N ≤ O ≤ P
Now m just saying let this:
Let K=2,L=3,M=4,N=4,O=5,P=6
Now tell me K< L or K = L

2<3 & 2=3

HOW it is possible

60. mam plz post as possible as soon because sbi po is near.. thank u mam

61. thank u mam i am also waiting for that machine input output: thank u mam)

62. Ma'm can u pls clarify my doubt that it officers are placed in only regional offices or every branch requires an it officer?

63. Going by your logic can you just tell me how is
K < O = FALSE.

65. We are a small team but there is a tight schedule, I try to bring study material in Hindi

66. Thnxxx..sir.. these tricks works.... nd rememberable also ..

67. if you will think about cut off of po exams then m sure no one can crack theses exam ever

68. hi can u help me in syllogysm of possiblty cases

69. Pls szt ...I m selected in syndicate bank po but I want home posting should I apply for sarva haryana gramin bank for office assistant...after how much time I will promoted to officer scale 1

70. How much experience must have in public bank if I want to shift private bank po for home posting

71. hey @biswajit your trick is looking interesting.can u explain it with the help of examples

72. Dear Henery, i must explain to u but not now bcoz of the sbi prelims exam and mine ll be 20th june i.e. 1st dat 1st show...........so little busy............after completion of sbi prelims i ll definitely tell u the trick...............u believe me that is the best one to solve inequality problems within seconds...............nothing to mock up nothing to remember..............it is my practical experience from last yr exams.............i nearly qualified all the written except sbi & its associate po................now got placed in andhra bank clerical and waiting for the final result of sbi associate clerical................

73. or you contact me(my number is 8093965647)...............writing all these stuffs are bit time taking

74. In a few days , i will post easy tricks or methods for solving syllog with it's either or neither nor cases

75. prabakaran PrabhaaJune 8, 2015 at 11:35 AM

In tat image P>Q is ryt or wrong????

76. Sir, what's the average marks required to pass in each subject?? What if i score 10 in QA , 28 in Reasoning and 20 in English?? Sir plz reply ASAP..

77. There are two vessels a and b.vessel A is containing40 litres of pure milk and vessel B is containing 22 litres of pure water.from vessel A 8 litres of milk is taken out and poured into vessel B.then 6 litres of mixture (milk and water) is taken out and from vessel B poured into vessel A.what is the ratio of the quantity of pure milk in vessel A to the quantity of pure water in vessel B? Please sir solve and show concept without formula

78. it is a R>Q . i have typed wrong.

79. You Forget this logic that i hav replied with resp. to ur query. i know it is not good rather we can talk about the logic that i post above here on this page.You were earlier right about your question which i have changed then.If you have any query relating the above given post then plz ask otherwise i know the logic i hav tries to understand ur query was not enough or capable.

80. no problem bro i m in no hurry i will wait till 20th.hope you will not forget your promise.

81. ok just give a remind me in my number or my mail biswajit141@gmail.com after 20june.............

82. I am not questioning your logic, I am just asking that going by your example of [K=2,L=3,M=4,N=4,O=5,P=6] isn't
K < O=TRUE. As 2 < 5 is a fact that can not be denied.

83. yup ! i knew it while reading ur previous reply.so i was saying the one i posted now we should consider that.

84. Ok m so confused in possibilty cases by ven diegram mathod can u favr me for the same

85. I have made a Data flow Diagram(very much close to it) .You can check it @HENRY

86. hlo sir pls tell me how many time i can attempt a single pre test?? is there any limit ?? pls do reply

87. but ma'am its showing error

88. Sagar ChandrakarJune 9, 2015 at 6:53 PM

Very nice sir

90. sir if u have any tricks like this on aptitude pls share it,,

91. one word wow...and thanks Ramandeep ji

92. We are working on it. It will be fix till tommorow evening .

93. no dear ...mene prev yr exams k 100 above input solve kiy to just practice se ab solve ho jate h jldi ...tricks iski yhi h k phle last step se judge kro nd then steps review le lo

94. okk... :) thanku very very much

95. Can you give me an example which satisfies the given inequalities
K ≤ L ≤ M = N ≤ O ≤ P with
K<O =FALSE & K=N =FALSE simultaneously true.

96. K=4,L=5,M=6,N=6,O=7,P=8

K<O; 4<7
k=N;4<6

97. Sir! you are still at there.I have given enough method logic tricks above to solve these equation easily.The point is to solve the question in seconds.

98. Thanks a lot priya mam....

99. hi biswajit i like ur trick plz explain it with the example

100. coz of the sbi prelims exam and mine ll be 20th june i.e. 1st dat 1st show...........so little busy............after completion of sbi prelims i ll definitely tell u the trick

101. it is neither nor

102. hi, how was ur papar ?
plz share ur tricks whenever u ll get free time.......thanx

103. It looks lengthy.............for ur understanding purpose i elaborate it lengthily. Plz tell me whether u understand it or not............if not then tell me at which point u face difficulty. If u understand it properly then try solve few problems based on it. If u face difficulty then u can post here or send it to my mail id " biswajit141@gmail.com "

104. L=T<=J>=K conclusion 1 L>K 2 L<=K this is either or case and not neither nor case OK check it

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