Question
If a = (√2 - 1)1/3, then the value of
(a-1/a)3 +3(a-1/a) is:Solution
a = (√2 - 1)1/3             both sides cube a3= (√2 - 1)    … (1) Now- (a-1/a)3 + 3(a-1/a)      using formula (a-b)3 =a3-b3-3ab(a-b) =a3-1/a3 -3×a×1/a(a-1/a) +3(a-1/a) = a3-1/a3 -3(a-1/a) + 3(a-1/a) = a3-1/a3 Now put the value of a3. = (√2 - 1) -1/ (√2 - 1) = (√2 - 1) – [(√2 + 1)/ (√2 - 1) (√2 + 1)] = (√2 - 1- √2 - 1) =-1-1 =-2.
Statements:
R ≤ S = T; P < Q = R; S < U ≤ V; W ≥ V
Conclusions:
I). Â P < U
II). Â W > R
III).  T ≥ Q...
Statements: A ≥ B ≥ C = M = N ≥ O ≤ P ≤ Y = Z
Conclusions:
I. Y > M
II. Z ≤ A
Statements: P ≥ U ≥ Y > T ≤ Q = V > R > S < W
Conclusion
I: Q > S
II: T ≤ P
In the question, assuming the given statements to be true, find which of the conclusion(s) among given two conclusions is /are definitely true and the...
Statement: L > J ≥ U ≥ F; P < S < L
Conclusion: I. S < F II. P < U
In the given question, the statement is followed by two conclusions. Which of the two conclusions is/are true?
Statement: L = M ≥ N ≤ O =...
Statements:
Only a few Bottle is Cap.
No Cap is Surface.
No Surface is Structure.
Conclusion:
I. Some Structure can b...
Which among the following symbols should replace the question mark [?] (in the same order from left to right) in the given expression in order to make b...
Statements: J < K < M = L, D = E > F, F ≥ G < H = I > J
Conclusions:
I. D > K
II. I < L
III. E > J
Statements: F ≥ G = H > I = L ≤ J < K ≤ M
Conclusions:
I. L > F
II. G ≤ J
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