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From equation 1: 3x² + 6x - 9 = 0 Dividing by 3: x² + 2x - 3 = 0 Factorizing: (x + 3)(x - 1) = 0 So, x = -3 or x = 1. From equation 2: 2y² - 16y + 32 = 0 Dividing by 2: y² - 8y + 16 = 0 Factorizing: (y - 4)² = 0 So, y = 4 (double root). Comparing x and y: If x = -3 and y = 4, x < y. If x = 1 and y = 4, x < y. Thus, x < y. Answer: C
A statement is given, followed by four conclusions given in the options. Find out which conclusion is true based on the given statement.
Statemen...
Statement:
T > D ≥ C = X < B < O ≤ F
Conclusions:
I). F > X
II). F < D
...Statements: M @ N, P @ R, P & N
Conclusions: a ) M @ P b) R & M
...Statements: O < D ≤ T; C ≥ X = U; Y < Z = C > D
Conclusions:
I. U ≤ Z
II. O ≤ C
III. Y < D
Statements: I < W = T ≤ H = C ≤ Y, Y > M ≥ V
Conclusions:
I. Y ≥ W
II. H > V
III. M < T
Statements: F % W, W © R, R @ M, M $ D
Conclusions:
I.D @ R II.M $...
Statements: H ≥ D = R > I < M > U > P ≤ N
Conclusion I: H > R
II: P < M
What should come in the place of question mark, in the given expressions to make ‘L < P’ always true?
L < N < O _?_ Q = R ≤ P = M
Statements: J # Q, Q * D, D % P, P $ Y
Conclusions: I. Q * Y II. P *Y III...
Statements:
L ≤ J ≤ C = N; W ≥ X > L
Conclusions:
I. J ≤ X
II. X ˃ W