Question
If (7x + 5y) = 206 and 3x:2y = 27:16, then find the
value of (x² + 2y²).Solution
Given, 3x:2y = 27:16 Or, 3x × 16 = 2y × 27 Or, 48x = 54y So, x:y = 9:8 So, let the values of 'x' and 'y' be '9k' and '8k', respectively. ATQ, (7x + 5y) = 206 Or, 7 × 9k + 5 × 8k = 206 Or, 63k + 40k = 206 Or, 103k = 206 So, 'k' = 2 Therefore, values of 'x' and 'y' are 18 and 16, respectively. So, (x² + 2y²) = (18² + 2 × 16²) = (324 + 2 × 256) = (324 + 512) = 836 Hence, option a.
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
...
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