Question
A can finish a work in 12 days and B can finish the same
work in 18 days. They work together for 4 days and then B leaves. In how many more days can A alone finish the remaining work?Solution
ATQ, Take total work = LCM(12, 18) = 36 units. A’s rate = 36/12 = 3 units/day B’s rate = 36/18 = 2 units/day Together, in 1 day = 5 units. In 4 days, work done = 5 × 4 = 20 units. Remaining work = 36 − 20 = 16 units. A alone does 3 units/day. Days needed = 16/3 = 5⅓ days.
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and then...
Statements: A < B ≤ C ≤ D; A > E = G ≥ I; D ≤ H = J < F
Conclusions:
I. F > C
II. H > I
III. B < J
Statements: P ≥ U ≥ Y > T ≤ Q = V > R > S < W
Conclusion
I: Q > S
II: T ≤ P
Statements: 2 < 4 = 8 ≤ 6; 4 ≥ 9 = 7 ≥ 10
Conclusions: I. 6 > 10 II. 6 = 10
Statements: S ≥ U < N = A; D > U ≥ C
Conclusions: I. A > D II. C < A
Statements: M = N; O < P < Q; N > O
Conclusions:
I. Q > N
II. M > P
Statements: W < R = T < Y = S = U ≥ V ≥ H = X
Conclusions:
I. S ≥ X
II. U > T
III. W < Y
Statements: A < B ≤ C, A > E, F ≤ B < D
Conclusions:
I. D > A
II. E < B
III. C > E
IV. D > C
Statements: Q % G & Z % G; G # C & E; E @ P # D
Conclusions : I. C @ P II. Q % P ...
Statements:
B < C < J ≤ H; W > F = T > J; P ≤ A < W
Conclusions:
I. C < A
II. P > B