In the questions below, some statements are given followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements: X ≤ Y > Z = W ≤ V; T ≥ U = Z < S
Conclusions:
I. W > S
II. U ≤ S

Two statements are given followed by two conclusions. Identify which of the given conclusions is/are true based on the given statements.
Statements:
M ≥ P = S
C = A ≤ N ≥ M
Conclusions:
I. M < C
II. P ≤ A

Three statements showing relationships have been given, which are followed by two conclusions (I) and (II). Assuming that the given statements are definitely true, find out which of the conclusions is/are true.
Statements:
M ≥ R
P > M
R = Q
Conclusions:
(I) R < P
(II) P > Q

Three statements showing relationships have been given, which are followed by two conclusions (I) and (II). Assuming that the given statements are true, find out which of the conclusions is/are definitely true.
Statements:
(1) L < R
(2) R < W
(3) M ≥ W
Conclusions:
(I) M > R
(II) L < M

In the following question, a relationship between different elements is shown in the statement followed by three conclusions numbered I, II and III. Assuming the statement to be true, decide which of the conclusions is/are definitely true.
Statement: Q ≥ J ≤ F < E ≤ M
Conclusions:
I. M > J
II. F ≤ M
III. M < Q

In this question, two statements are followed by four conclusions given as options. Decide which conclusion is definitely true, based on the given statements.
Statements: P ≤ Q = R > S,  Q ≤ T ≤ U = V