Sunday, 15 May 2016

[Banking] Coded Inequality

Almost all of you are appearing for Banking exams along side SSC, so I decided to write few important articles on it. This post deals with "Coded-Inequality".

Q. (1) Statement: F < B ≥ A = C > D
          Conclusion: (1) B ≥ C              (2) F > C

You have to find whether the conclusions (1) and (2) are true or false.
How to solve such questions quickly? The answer is "Magic Square"

When you get the rough sheet in the examination hall, immediately draw this magic square. Although after solving more and more questions, soon you would be able to memorize it.
Rules of magic square:
  1. Always prefer smaller value:
  2. Simple and (`) do not have any relation
  3. "3" is universal

Now let's move to the question
Conclusion 1 (B ≥ C)
The first conclusion is B ≥ C. We know from the magic square that ≥ evaluates to "2". Now, note the positions of B and C in the statement and solve all the signs between them.

Note: There is a typo in the above image. It should be F < B
We know that among two numbers, we choose the smaller one. Hence 2 and 3 evaluate to 2.
The statement as well as the conclusion evaluates to "2". This means that this conclusion is correct.

Conclusion 2 (F > C)
Second conclusion F > C. We know from the magic square that > evaluates to 1. Now, note the positions of F and C in the statement and solve all the signs between them.

You won't be able to solve the statement because the first two symbols do not have a relation between them. So no need to check the rest.
If at any point in the statement you encounter "no relation" between symbols, you can be sure that the conclusion is wrong.

Q. 2)  Statement: F < A = B ≥ C ≤ D
          Conclusion: (1) B > F              (2) A ≥ C

Conclusion 1 (B > F)
Notice that in the statement, the direction is from F to B, but in the conclusion (B > F), the direction is from B to F. Hence to make the directions same, we will write the conclusion as F < B. So it evaluates to 1`.

The statement evaluates to 1` and the conclusion too evaluates to 1`. Hence the conclusion is right.

Conclusion 2 (A ≥ C)
Here the direction is same. So simply, the conclusion evaluates to 2. Now evaluate the statement.
The statement as well as the conclusion evaluates to 2. Hence the conclusion is right.

In the similar manner you can solve all the questions of Coded Inequality quickly. But make sure the question is in the desired format. Notice the below question for instance,

Q.  Statements F % T, T @ J, J # W.
Conclusions 1) J @ F. 2) J # F

Note that:
P is neither smaller than nor equal to Q means P > Q
P is neither greater than nor smaller than Q means P = Q
P is neither greater than nor equal to Q means P < Q
P is not greater than Q means P ≤ Q

First convert the statement in the desired format.
Statement: F ≤ T = J > W
Conclusion: (1) J = F        (2) J > F
Now solve the question with magic square method.

If you have any doubt in this article, please drop a comment.
Keep reading :)


  1. Thnk u for the perfect explaination

  2. sir ,first ques ka second conclsion ryt h, f>c ,, check again,

    1. There was a typo in the question...please check again...

  3. This is quicker than the method I solve ,,thank you sir

  4. This comment has been removed by the author.


  6. Sir! I have gone through Analytical Reasoning book by M.K Pandey... I have read about this coded inequality from this book. In this book inequalities are given like AF,F=O.....
    I know how to combin them and get a conclusion and check whether given conclusions are true or false....

    But in banking exams its like a long chain given.... A>B=F<=O<C....
    So here what should I do ?
    Should I check the conclusion from the above inequalities or check whether there are relevant statements or not ?

    1. Chain-like questions are the easiest because you can directly apply the magic square method...

  7. please post a method on inequality also.
    Also,please suggest a good DI book which could help me in solving tough DI in SBI PO exam.
    Any help is appreciated

    1. sorry !! typing error !!
      post a method on input output

  8. Thanks sir..plz provide tricks for syllogisms

  9. Statements L=P<=W=Q;BP

  10. [CGL 2015 Tier II]
    AD is perpendicular to the internal bisector of ∠ABC of △ABC. DE is drawn through D and parallel to BC to meet AC at E. If the length of AC is 12cm, then the length of AE (in cm.)is
    (1) 3 (2) 8 (3) 4 (4) 6

  11. Sir...a grammar book recommended by u...A mirror of common errors...contains an error on its very first page..."eat a humble pie"...which is actually..."eat humble pie"....
    Should i believe on the authenticity of this book and proceed furthe??
    Plss suggest...

  12. bhai ka bhai sabkaaaa bhai.........

  13. Sir wait for your past 1 week.
    By your fan.

  14. Sir, this method is more useful in chain like question, could u plz give some examples to solve non chain like prob through this method. We may have to arrange the prob in a chain.

  15. Sir what we have to do in complementary pair(either/or ) case??

  16. Can you provide a method for syllogism? It is really confusing :( Weekend exam:(