Question
((0.1)3+ (1.8)3+ (1.1)3
- 0.3 ×1.8 ×1.1)/((0.1)2+ (1.8)2+ (1.1)2- (0.18)- (0.11)- (1.8 ×1.1))= ? What value should come in place of the question-mark (?) in the following questions:Solution
a³ + b³ + c³ - 3abc = (a+b+c) (a² + b² + c² -ab –bc -ca) According to the question, (〖(0.1)〗^3+ 〖(1.8)〗^3+ 〖(1.1)〗^3- 0.3 ×1.8 ×1.1)/(〖(0.1)〗^2+ 〖(1.8)〗^2+ 〖(1.1)〗^2- (0.18)- (0.11)- (1.8 ×1.1)) ⇒ ((0.1+1.8+1.1) ((0.1)^2+ (1.8)^2+ (1.1)^2- (0.18)- (0.11)- (1.8 ×1.1)))/(〖(0.1)〗^2+ 〖(1.8)〗^2+ 〖(1.1)〗^2- (0.18)- (0.11)- (1.8 ×1.1)) ⇒ (0.1+1.8+1.1) = 3
Statements: Z > X = Y ≥ W; S ≥ I ≤ Q = Z
Conclusions:
I. W < Q
II. S ≥ Y
III. Y < S
Statement: C > S > F > B > L; I > B > T
Conclusion: I. I > L II. T < C
Statement: F < G; F ≥ H > I; D ≥ E > G
Conclusion:
I. I ≥ G
II. E ≥ F
Statement: P > Q ≥ R = S ≤ T < U
Conclusions: I. T > Q II. U < P
...What is the suitable sign that should be placed so that O > K is true, and J ≤ M is true in the relation 'J = K ≤ L ( ) M < N = O'?
Statements:
P ≤ Q < R > K; R < S > T; T < U < V
Conclusions:
I). P < S
II). P ≥ S
...Statement: K = B; D ≥ L ≥ T ≥ B
Conclusion: I. D > K II. D = K
Statement: N < O; M ≥ V; M ≥ R; V > O ≥ U
Conclusion:
I. O > R
II. R > U
Statement:
T > D ≥ C = X < B < O ≤ F
Conclusions:
I). F > X
II). F < D
...Statement: H > G = M > S; G `>=` T > L; M `<=` F < U
Conclusion: I. F > S II. T < H
...
