Question
If a + b + c = 6, a³ + b³ + c³-3abc =
342, then what is the value of ab + bc + caSolution
Here is 2 equation and 3 variable Extra variable it can be put anything else = C = 0 A + b = 6, a3 + b3 = 342 Ab = ? = (a +b)3 = a3 + b3 + 3ab (a + b) = 216 = 342 + 3ab × 6 = 18ab = 126 = ab = 7
Statements: A > E ≤ B; G < C ≤ E; D < C ≤ F
Conclusions:
I. D < B
II. F ≤ E
III. A > G
...Statements: M > Q ≥ U = O, S = U < R ≤ T
Conclusions :I. M < R II. T > O III. Q ≥ T
Statements: E < F > G; H < I ≤ F; E > D
Conclusions:
I. F > D
II. H < E
III. G < D
Statements: Q ≥ B > G = F ≥ J; W ≤ B = N < L.
Conclusions:
I. N > J
II. Q > L
In this question, the statement is followed by two conclusions. Which of the two conclusion(s) is/are true?
Statement: Z < L < P = V ≥ H = U �...
Statements: A % O & Z % O; O # C & E; E @ P # D
Conclusions : I. C @ P II. A % P ...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: W ≤ T = R; T < U < S; X = W ≥ Y
Conclusions:
I. S > Y
II. W ≥ S
III. U ≥ Y
Statements: E > G < H > F = I ≥ J > K ≥ D
Conclusion
I: J < H
II: I > D
Statements: U ≤ X = V < W; V > T = Q ≥ R
Conclusions: I. V ≥ R II. W > R