Question
A, B, and C together can do a work alone in 14 days, 56
days, and 70 days respectively. A alone starts the work and work for 3 days and leaves the work, then B alone does the work for 8 days and leaves the work. If remaining work is done by C alone then for how many days has C worked?Solution
Total work = LCM of 14, 56 and 70 = 280 units Unit per day of A = 280/14 = 20 Unit per day of B = 280/56 = 5 Unit per day of C = 280/70 = 4 Units of work done by A in 3 days = 20 × 3 = 60 units Units of work done by B in 8 days = 8 × 5 = 40 units Remaining work = 280 – (60 + 40) = 180 units So, C has worked for 180/4 = 45 days
Statement: F ≥ G > I > E ≤ P, E = S ≥ PÂ
Conclusion: I. F ≥ P         II. G > P
Statement: Y < Z > I < Q > S = M ≤ N
Conclusions:
I. S= N
II. Q > M
Statements: P = Q = R > S > T > Z; U > R < V < W > X
Conclusions:
I. W > Z
II. R < W
III. R < X
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements: E < F > G; H < I ≤ F; E > D
Conclusions:
I. F > D
II. H < E
III. G < DWhich of the following will be definitely false if the given expression F > G ≥ H > I ≥ J > K = M ≤ N > L ≤ O is definitely true?
Statements: Â M @ N, P @ R, P & N
Conclusions:Â Â Â Â Â a ) M @ PÂ Â Â Â Â Â Â Â Â Â Â Â Â b) R & M
...Statement: F < G; H ≥ I; H ≥ K; I > G ≥ J
Conclusion:
I. G > K
II. K > J
Statements: S = R, T ≤ U, O < J, T ≤ J, U > R
Conclusion:
I. R ≥ T
II. R < T
Statement: D < F; D ≥ E > G; I ≥ H > F
Conclusion:
I. G ≥ F
II. H ≥ D
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