Question
I. x2 – 18x + 81 = 0 II.
y2 – 3y - 28 = 0 In each question two equations numbered (I) and (II) are given. You should solve both the equations and mark appropriate answer.Solution
I. x2 – 18x + 81 = 0 => x2 – 9x – 9x + 81 = 0 => x (x – 9) – 9(x – 9) = 0 => x = 9, 9 II. y2 – 3y - 28 = 0 => y2 – 7y + 4y - 28 = 0 => y (y – 7) + 4 (y – 7) = 0 => y = 7, -4 Hence, x > y Alternate Method: if signs of quadratic equation is - ve and +ve respectively then the roots of equation will be +ve and +ve. So, roots of first equation = x = 9, 9 if signs of quadratic equation is - ve and -ve then the roots of equation will be +ve and -ve respectively. (note: +ve sign will come in larger value) So, roots of second equation = x = 7, -4 After comparing we can conclude that x > y.
Statements:
T % W % B $ I @ L
Conclusions:
I. B * T
II. L © B
III. L * T
Statements: R ≤ K ≤ H = O ≥ D > Q; K > P
Conclusions:I. K < Q II. D ≥ P
Statements:
F > L = P ≥ Q ≥ W; X < C ≤ D < W
Conclusions:
I. W > X
II. F > C
In the following question the relationship between different elements is given in the statements followed by two conclusions I and II. Read the stateme...
Statements: X > O > D; T > M ≥ O; X > R
Conclusions:
I. T > R
II. R < DStatements: Z > Y ≥ X; I < N ≤ L; F < I > D > Z
Conclusions:
I. L > F
II. X < N
III. Y < I
Statements: U < P = I ≤ V < T ≤ R = W > H = Z > O
Conclusions:
I. U < W
II. R > O
Statement: X > Y > Z; A > C > X; A < D
Conclusion: I. Z < AÂ Â Â Â Â Â II. C > Y
Statements: G < H  ≤  I, V  ≥ W = G, R  ≥ I = A
Conclusions :
I. R > G
II. A ≥ H  Â
 III. H ≤ R
...Statement:  X > P ≥ W < Z ≤ T < S, P ≥ V
I. P > T
II. X > V
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