A bag contains 30 white and some black balls. If the probability of drawing a black ball from the bag is 1.4 times that of drawing a white ball, find the number of black balls in the bag.

Statements: N ≥ M ≥ O; U < N; V < O ≤ R

Conclusions:

I. V < N

II. R ≥ N

III. O < U

Statements: E = L ≤ G < I = H; E ≥ N < A; W ≥ P ≥ M > I

Conclusions:

I. E < W

II. A ≥ M

III. N < P

26. Statements:                T @ V % Z #  C & B $ S  # E; W $ Z @ C

Statements: E > U > V ≥ K > F; E ≤ N = L < H

Conclusions: I. L > K         II. U < H

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

Statements: A = B ≥ C > D, F > G = H ≥ J, D ≥ E ≥ I > F

Conclusions:

I. D ≥ H

II. I > J

III. G < A

Statements: A ≥ B > C < D, E ≥ F ≥ G, D = H ≥ E

Conclusion:

I. B > F

II. D ≥ G

III. C < G

Statements:   S  *  C, C $ T, T # U, U % V  

Conclusions :

I.V # T

II. C % U

III. S # U

Statements: N % X & F @ R $ S; Q % N # O

Conclusions:

I. S % X

II. N % F

III. Q @ R

Statements: M $ K; K & N, N % R, R @ W

Conclusions:     

I. W & K