Question
I). 3p 2 – 13p + 12 = 0 II). 4q
2 + 3q – 7 = 0 The question consists of two equations labeled as I and II. Solve both equations, compare their solutions, and establish the relationship between them.Solution
ATQ, 3p 2 – 13p + 12 = 0 3p 2 – 9p - 4p + 12 = 0 3p(p – 3) – 4(p – 3) = 0 p = + 3, + 4/3 p = + 3, + 1.33 4q 2 + 3q – 7 = 0 4q 2 – 4q + 7q – 7 = 0 4q(q – 1) + 7(q – 1) = 0 q = + 1, - 7/4 q = + 1, - 1.75 Hence, p > q
Statements: W ≤ T = R; T < U < S; X = W ≥ Y
Conclusions:
I. S > Y
II. W ≥ S
III. U ≥ Y
Statements: G ≤ D < F; C > D = E; A ≤ B < C; G > H
Conclusions:
I. C > H
II. F > A
III. E < B
In the question, assume the given statements to be true. Find which of the following conclusion(s) among the three conclusions is/ are definitely true ...
Statements: F ≥ G < H = I; J < I; K > L = F
Conclusions:
I. I > K
II. G < L
III. L ≥ G
Statements: K * D, D $ N, N % M, M © W
Conclusions: I.M % W II.M $ W III.N @ D�...
Statements: P # Q @ R & S @ T # W % I, K $ S @ L
Conclusions: I. Q # W II. R & L
...Which of the following symbols should be placed in blank spaces respectively in the same order from left to right in order to complete the given express...
Statements: B > C; D > E = F < G ≥ H; C > I = D
Conclusions:
I. B < E
II. G > E
III. I < B
Statement: F > E = L ≤ V ≤ P = C
Conclusions:
I. C > E
II. E = C
III. F > P
IV. C ≥ E
...Statement: A > D = N ; N `>=` Q; Q > S; S < T
Conclusion: I. N > S II. Q `<=` A
...