Question
If (x – 12)3 + (x – 5)3 + (x
– 7)3 = 3(x – 12)(x – 5)(x – 7) then find the value of (x2 + 5x + 12)ÂSolution
Let a = (x – 12), b = (x – 5) and c = (x – 9) According to the question, a3 + b3 + c3 = 3abc Therefore, a + b + c =0 Or, x – 12 + x – 5 + x – 7 = 0 Or, 3x = 24 Or, x = 8 Therefore, x2 + 5x + 3 = 82 + 5 × 8 + 12 = 116
Statements: Â Y $ Z, H $ D, Z * D
Conclusions: Â Â Â Â a) Y & HÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â b) Y * D
...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: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
Statements: O > Q < R > P = U ≥ S > T ≥ N
Conclusion
I: S < R
II: U > N
Statements: L $ W, W * H, H # T, P % T
Conclusions:      I. T @ L                 II. H % L               �...
- Statements: M > N > Q = O ≤ P ≤ T, R > S = M
Conclusions:
I. Q > S
II. T ≥ N
III. O < S Statement:
J < K ≤ M > O; M > P < Z; Z = R
Conclusion:
I. P < K
II. R > K
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 th...
Statement: N = P ≤ Q; R ≥ Q < U
Conclusions: I. N < U II. R ≥ N
...Statements: U = V ≤ W > Q ≥ N; B < Q; E = W
Conclusion: I. E > Q II. W > B
...
