Question
I. y² + y – 56 = 0 II. 2x² + 11 x – 40 =
0Solution
I. y² + y – 56 = 0 y² + 8y - 7y – 56 = 0 y (y + 8) – 7(y + 8) = 0 y = 7, - 8 II. 2x² + 11 x – 40 = 0 2x² - 5 x + 16x – 40 = 0 x (2 x – 5) + 8 (2x – 5) = 0 (x + 8) (2 x – 5) = 0 x = - 8, 5/2 Hence, relationship cannot be established between x and y Alternate Method: Remember whenever roots of x & y are + & - both, there is no need to find the exact value of roots. In this case, there will be always no relation between x & y. Hence relationship between x & y cannot be established.
In the question assuming the given statements to be true, find which of the conclusion(s) among given three conclusions is/are definitely follows and t...
Statement: P ≤ W < O = D ≥ G > T
Conclusions:
I. P ≤ T
II. W < D
Statement: X≤Y<W =Z ≤U<S;S>T ≥V
I. Z≥T
II. Z > X
Statements : C © S * R, U % R $ ZÂ
Conclusions :Â
I. Z $ CÂ
II. U % SÂ
III. U © C
Statements: N = Q < X ≤ L, L > T = G ≥ E
Conclusions:
I. L ≥ Q
II. G > X
III. L > N
Statements: U > H ≥ W; S > T ≥ B; S < H; C ≤ D = U
Conclusions:
I. D > B
II. T < U
III. W ≤ D
Statements: B < C ≥ D; T < G ≥ E; E < C
Conclusions:
I. T < C
II. C > G
III. E < D
In this question, the relation between various elements is shown in the statement. After the statement, two conclusions are given, select a suitable op...
Statements: P # Q @ R & S $ T # W % I, K $ S @ L
Conclusions: I. K # I II. P & T
...Statements : Z < S < W < D; E ≤ C ≤ Y < D; U < T < S ≤ V
Conclusions :
I. V > Z
II. C < U
III. V > E
