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Either - Or Case / Neither – Nor Case:

For these cases we must follow 3 rules:

1. This case is only valid when the same variables have been used.
2. Both conclusions must be false individually.
3. Check if there is any relation between two variables from statement and conclusions
1. Relation Found: If any relation found between the variables, then it will be either – or Case.
2. 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:

1. Q > T
2. Q = T

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:

1. Q > T
2. 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.