Chapters

Page 3

Coded Inequality

Unlike Simple inequality, Coded inequality has same signs but in coded form. Here in place of <, >, =, <=, >= we get coded symbols like @, %, #, $, & etc.

We have to first replace the code and convert it into the inequality symbols and then we can proceed in the same way as above

Example:            

  • S © P means S is not greater than P.
  • S ≠ P means S is neither greater nor equal to P.
  • S @ P means S is neither greater nor smaller than P.
  • S % P means S is neither smaller nor equal to P.
  • S $ P means S is not smaller than P.

First we have to decode the symbols:

  • S © P means S is not greater than P.   =>   S<=P
  • S ≠ P means S is neither greater nor equal to P. =>   S<P
  • S @ P means S is neither greater nor smaller than P. =>   S=P
  •  S % P means S is neither smaller nor equal to P. =>   S>P
  •  S $ P means S is not smaller than P. =>   S>=P

 

Q8). B % O, T  $  O, T % X, X ©S

Conclusions

  1. S  $  B
  2. T  %  S
  3. T  %  B
  4. X  © C

Options:

  1. Only I and II are true
  2. Only II, III and IV are true
  3. None is true
  4. All are true
  5. None of these.

Answer

Decoding the equation:    B > O <= T > X <=S

Conclusions with answers

  1. S  >=  B, False
  2. T  >  S, False
  3. T  >  B, False
  4. X  <= C, False

None is true, Option 3 will be the answer.


Q9). V @ O, O  $  G, G $ B, B %S

Conclusions

  1. S  @  B
  2. T  %  S
  3. T  ©  B
  4. X  % C

Options:

  1. Only II is true
  2. Only I, II are true
  3. Only I, II and IV are true
  4. Only III and IV are true
  5. Only II and either I and IV are true

Answer

Decoding the equation:    V = O >= G >= B > S

Conclusions with answers

  1. B  =  V, Alone False,  V can also be greater than B
  2. O  >  S, True
  3. S  <= V, False
  4. V  >  B, Alone False, V can also be equal to B

If we look the conclusion I and IV combine. Then we can easily find either conclusion I or conclusion IV is true.

Since Option 5 will be the answer i.e. Only II and either I and IV are true.


Reverse Inequality or ≠ Case

Here ≠ simply means > or <

Q11). Find out the relations from the below statements for the given conclusions?

Statements:

A ≠ B ≠ C = D ≠ E = F ≠ G = H

Conclusions:

  1. A > C
  2. A < C

Options:

  1. Only II is true
  2. Only II is true
  3. Either I or II is true
  4. Neither I nor II is true
  5. Both I and II are true.

Answer:

  • Both the conclusions are false in this case individually
  • Since, both the variables are same we can check for either or, Rule 1 and Rule 2 is true for either or. Now according to rule 3 we have to find if any relation exists between the equations.
  • Since there is no relation exists then this is a case of neither-nor. So the Option 4 is the correct answer.

Option 4 is the answer i.e. Neither I nor II is true 


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