Which state is the largest producer of rice in India as

Which of the following expressions will be false if the expression Q < H = G ≤ E > U is definitely true?

Statements: 

A $ B * X © Y @ Z 

Conclusions: 

I. X @ Z 

 II. Z * A 

III. Z % X

What should come in the place of question mark, in the given expressions to make ‘T > Y’ always true?

R > T = U ≥ V ? W ≥ X =Y

Statements: L # W, W % V, V $ H, H # T

Conclusions : I. V @ T II. H & W III .V # T

Statements: T @ A % S $ L © J 

Conclusions: 

 I. T % L 

II. T $ L 

III. S # J

Which of the following symbols respectively should replace the question marks in order to make the expression V ≥ M and X ≤ H definitely true?

Statements:

P < Q < R < S ≤ B < H; S > N ≥ Y

Conclusions:

I) P < Y

II) R ≥ N

Statements:       M # N # O $ P & Q % R % S

Statement:  P = O ≥ N ≥ Y < M < W ≥ X; Y > Z

Conclusion:

I.  Z ≥ X

II.  P > Z