Question
I. 27x6 - 152x3 + 125 = 0
II. 216y6 - 91y3 + 8 = 0 In the following questions, two equations numbered I and II are given. You have to solve both the equations and find out the correct option. Give answerSolution
I. 27x6 - 152x3 + 125 = 0 Let x³ = a 27a2 - 152a + 125 = 0 27a2 - 125a - 27a + 125 = 0 a(27a - 125) - 1(27a - 125)=0 a=1,125/27 x³=1,125/27 x=1,5/3 II. (216y)6 - 91y3 + 8 = 0 Let y3 = b 216b2 - 91b + 8 = 0 216b2 - 27b - 64b + 8 = 0 27b(8b - 1) - 8(8b - 1) = 0 b = 1/8,8/27 y3 = 1/8,8/27 y = 1/2,2/3 Hence, x > y
Statements:
P < Q < R < S ≤ B < H; S > N ≥ Y
Conclusions:
I) P < Y
II) R ≥ N
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 the...
Statements: P ≥ Q ≥ R = S, Q ≥ T > U ≥ V
Conclusion:
I. P ≥ V
II. P > V
Statements: J < K; L = M; K >N ≥ L
Conclusions:
I. J < L
II. N = M
Statements: M = N ≤ P = C > G, D ≥ M > T = F
Conclusion:
I. D ≥ N
II. N > F
III. F < P
Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
Which of the following expression symbols should replace the question mark(?) in the given expressions to make the expression C ≥ E as well as D > M d...
Statement: M < N; L ≥ U; L ≥ Q; U > N ≥ T
Conclusion:
I. N > Q
II. Q > T
Statements: X < H = U ≤ I < N = M, M > B ≥ V
Conclusions:
I. I > V
II. U ≥ MStatement: D > C > U < K > E > N < A
Conclusion:
I. D > N
II. D > A
