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Symbols and Notations

Reasoning: Symbols and Notations for Bank Exams 

Reasoning Tips – Symbols and Notations



These type of questions are also scoring part under reasoning section in IBPS Bank Exams.

Here, some relationships are given with the help of some symbols/notations or mathematical signs.You have to solve the questions by assuming the relationship of that symbol in that question and choose the correct option from the given choices.




Generally, These type of questions is asked in two models.

Model I:

Blood Relationships are expressed with symbols /mathematical signs.

You have to analyze the given questions assuming the given relationships and find out the final relationship or whatever asked the questions.In order to solve these type of questions, we have to proceed step by step analysis co-relating the mentioned relationship.

Example: 

A*B means A is the brother of B.

A/B means A is the mother of B.

A-B means A is the father of B.

Which of the following means P is the maternal Uncle of Q?

(1)P*R/Q     (2)P-R/Q    (3)Q/R*P    (4) Cannot be determined.     (5)None of these.

Ans.) (4)Cannot be determined because Complete data is not given here.

For Explanation: Click Here.

Model II:

Here Some statements are given using some English alphabets and symbols notifying certain information and questions are asked on the basis of the given symbolic information.

Symbols & Notations Questions with Answers:

Example 1: In the following questions the symbols $, @, *, # and ? are used with the following meanings.

A $ B means A is greater than B.
A @ B means A is either greater than or equal to B.
A * B means A is equal to B.
A # B means A is smaller than or equal to B.
A ? B means A is either smaller than or equal to B.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true?

Give Answer (1) If the only conclusion  I am true.

                        (2) If only, conclusion II is true.

                        (3) If either I or II is true.

                        (4) If Neither I nor II is true.

                        (5) Both I & II conclusions are true.

1.1) Statements : M # N, T $ U, N# U

       Conclusions:  I. M? T.

                                II.T $ N.

Solution :

        M<N, T>U, N<U

        By combining above statement equations into one.

        We get,   M< N<U<T.  

Check the conclusions I and II  assuming in the above statement.

I. M≤ T (It is false  because we can conclude M< T but not M≤T)

II. T > N( It is true with above statement)

Ans:  (2). Only conclusion II follows.

1.2) Statements: P$T, G?N, T@N.

       Conclusions: I. P $ N.

                              II. G ? T.

Solution :

        P>T, G≤ N, T≥ N.
        By combining above statement equations into one.
        We get,   P>T≥N≥G.
Check the conclusions I and II  assuming in the above statement.

I. P>N (It is true with above statement)
II. G≤T( It is true with above statement)
Ans:  (5). Both conclusion I and Conclusion II follows.



1.3) Statements: P?Q, R$S, Q@S
        Conclusions:  I.    P$S.

                                 II.  R#Q.

Solution :
        P≤ Q, R>S, Q≥S.
        By combining above statement equations into one.
        We get,   P≤ Q≥S<R.
Check the conclusions I and II  assuming in the above statement.
I. P>S (It is false with above statement. Here, we find opposite signs between p&S so can’t decide any relation between P& S)
II. R<Q( It is false due to same logic as above)
Ans:  (4). Neither conclusion I nor Conclusion II follows.

1.4) Statements : D @F, G$H,F?H
        Conclusions:  I.    G$F.
               II.  D@H.
Solution :
        D≥F, G>H, F≤ H
        By combining above statement equations into one.
        We get,   P≤ Q≥S<R.
Check the conclusions I and II  assuming in the above statement.
I. P>S (It is false with above statement. Here, we find opposite signs between p&S so can’t decide any relation between P& S)
II. R<Q( It is false due to same logic as above)
Ans:  (4). Neither conclusion I nor Conclusion II follows.




Example II.
In each of the questions given below  a group of digits is given followed by four combinations of letters/symbols. You have to find out which of the four combinations correctly represents the group of digits  based on the letter/symbol codes and the conditions given below. If none of the four combinations represents the group of digits correctly give the answer (e) None of these.

Digit:396287541
Symbol:KT$FH#%DM

Conditions for coding the group of digits:

  1. If the first digit is odd and the last digit is even, the codes for the first and the last digits are to be interchanged.
  2. If the first, as well as the last digit, is even, both are to be coded by the code for the last digit.
  3. If the first, as well as the last digit, is odd, both are to be coded as ‘X’.

II.1) 564923
(a) %$DTFK  (b)K$DTFK      (c)X$DTFX      (d)K$DTF%       (e) None of these.

II.2)658247
(a) $%HFD#   (b) #%HFD$    (c) %$HFD#    (d)%#HFD$     (e) None of these.

III.3)436958
(a)DK$T%D   (b)DK$T%H      (c)HK$T%H      (d)#%$HK#   (e) None of these.

IV) 291378
(a) FTMK#H    (b)XTMK#X     (c)HTMK#F      (d) FTMK#F     (e) None of these.

V)128547
(a)XFH%DX      (b)XFH#DX     (c)MFH%DX     (d)XFH%D#     (e) None of these.