On which date is World Bicycle Day observed

A statement is given, followed by four conclusions given in the options. Find out which conclusion is true based on the given statement.

Statements: R < S = T ≤ U < X < V, W = J ≥ Z = V

Conclusions:
I. X > W

II. U ≤ Z

III. J ≥ X

Statements: D > C ≥ A ≤ B = F, G ≤ K < L < C

Conclusion:

I. D > G

II. C > G

III. K ≤ B  

Statements: N ≥ P > E ≥ B < I ≤ G ≤ M; O ≤ B

Conclusions:

I. B < N

II. G ≥ O

III. P < I

Statements: L < M > P ≥ Q; N > O > M

Conclusions:

I. N ≥ Q

II. O > L

III. L = Q 

In which of the following expressions will the expression ′Q < P′ does not hold true?

Statements: B ≤ C < E; B ≥ G < H; G > I ≥ L

Conclusions:

I. G ≤ C

II. H ≥ L

III. G > E

Statement: P < Q; V < S > T; V < U > Q

Conclusion: I. T ≥ P           II. P > T

Statements:  S * K, T $ K, K @ B

Conclusions:      a) S $ B                  b) S @ B