# 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**

- S $ B
- T % S
- T % B
- X © C

Options:

- Only I and II are true
- Only II, III and IV are true
- None is true
- All are true
- None of these.

**Answer**

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

Conclusions with answers

- S >= B, False
- T > S, False
- T > B, False
- X <= C, False

None is true, Option 3 will be the answer.

Q9). V @ O, O $ G, G $ B, B %S

**Conclusions**

- S @ B
- T % S
- T © B
- X % C

Options:

- Only II is true
- Only I, II are true
- Only I, II and IV are true
- Only III and IV are true
- Only II and either I and IV are true

**Answer**

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

Conclusions with answers

- B = V, Alone False, V can also be greater than B
- O > S, True
- S <= V, False
- 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:**

- A > C
- A < C

Options:

- Only II is true
- Only II is true
- Either I or II is true
- Neither I nor II is true
- 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