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**Either - Or Case / Neither – Nor Case:**

For these cases we must follow 3 **rules**:

- This case is only valid when the same variables have been used.
- Both conclusions must be false individually.
- Check if there is any relation between two variables from statement and conclusions
- Relation Found: If any relation found between the variables, then it will be either – or Case.
- No Relation Found: If no relation found, then it will be a neither-nor case. There must be all of three signs present in this condition i.e. (<, >, =).

Q6). Find out the relations from the below statements for the given conclusions?

**Statements:**

Q >= R = N >= M >= O>=T

**Conclusions:**

- Q > T
- Q = T

### Answer

Rule 1: Both variables are same in both the conclusion I and II i.e. Q and T

Rule 2: Both conclusions are individually false

Rule 3: There is a relation from statement as well as conclusion exists

Q > T and Q =T

=> Q>=T

Hence, this is an either-or case. Means either conclusion I will be true or conclusion II will be true.

Q7). In the above question if the following conclusions will be given then what will be the answer?

**Statements:**

Q >= R = N >= M >= O>=T

**Conclusions:**

- Q > T
- Q < T

Ans. Rule 1: Both variables are same in both the conclusion I and II i.e. Q and T

Rule 2: Both conclusions are individually false

Rule 3: There is a no relation from statement as well as conclusion exists

Q > T, since Q can also be equal to T (Q = T) ** False**

Q < T, no such relation exists **False**

Hence, this is an neither-nor case. Means neither conclusion I will be true nor conclusion II will be true.