I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I. 22x² - 97x + 105 = 0 22x² - 55x - 42 x + 105 = 0 11 x(2 x – 5) – 21(2 x – 5) = 0 (11 x – 21) (2 x – 5) = 0 x = 21/11, 5/2 II. 35y² - 61y + 24 = 0 35y² - 40y - 21 y + 24 = 0 5 y (7 y – 8) – 3(7y – 8) = 0 (5 y – 3) (7 y – 8) = 0 y = 3/5, 8/7 Hence x > y.
Statements: M ≥ O ≥ P ≤ W, N ≥ K ≥ Y = M
Conclusion:
I. N > W
II. Y ≥ P
Statements: U $ N © C @ H © Y
Conclusions:
I. U © H
II. C # U
III.H © U
Statements:
C © S * R, U % R $ Z
Conclusions:
I. Z $ C
II. U % S
III. U © C
Statements: A > B > C, C < D > E, E = F > G
Conclusion:
I. C = G
II. A > F
Statements: N $ J, J % O, O * P, P # X
Conclusions :
I. X % J
II. N $ P
III. J % X
IV. X % O
Statement: C ≤ D < E; C > F > G
Conclusions: I. F < E II. C > G
...Statement: H > G = M > S; G `>=` T > L; M `<=` F < U
Conclusion: I. F > S II. T < H
...Statement :M=N≥P<Q; R>Q ; T ≥N
Conclusion:
I. N<T
II. N≥R
...Statements : I @ L © R * A $ M
Conclusions :
I. R * M
II. A % L
III. A % I
Statements: Q $ Z % C # T @ H
Conclusions:
I. Z # H
II. Q © T
III. H % Z
