Question
Two inlet pipes M and N alone can fill a tank in 12
hours and 16 hours respectively and an outlet pipe P alone can empty the whole tank in 10 hours. First pipe M is opened for 6 hours, then pipe P is opened for 3 hours and rest of the tank is filled by pipe N. In what time will the tank be filled completely?Solution
Total capacity = 240 units (LCM of 12, 16 and 10) Efficiency of pipe M = 240/12 = 20 units/hr Efficiency of pipe N = 240/16 = 15 units/hr Efficiency of pipe P = 240/-10 = -24 units/hr Capacity of tank filled by pipe M in 6 hours = 6 × 20 = 120 units Capacity of tank emptied by pipe P in 3 hours = -9 × 24 = -72 units Capacity of tank left for pipe N = 240 – 120 – (-72) = 192 units Time taken by pipe N to fill the remaining tank = 192/15 = 12.8 hrs Total time taken = 6 + 3 + 12.8 = 21.8 hrs
Statement: A ≤ B; A ≤ I; B = D; I < C
Conclusion:
I. C ≤ B
II. D ≥ C
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: T > S > R, L ≥ D < R, L ≤ O ≤ Z
Conclusions:
I. T > L
II. S > D
III. Z ≥ R
...Statements: A > O = I ≥ C = D > K = P, P < M = R
Conclusions:
I. C > R
II. R > K
III. P ≤ O
Statement: E < F ≤ G = H, I ≥ G ≤ J ≤ K
Conclusion: I. K > E II. H > K
Statements: L # W, W % V, V $ H, H # T
Conclusions : I. V @ T II. H & W III .V # T
...Statements: H = G ≥ F, F > A ≥ B > C, C > D > E = J
Conclusions:
I. C < H
II. A > J
III. H ≥ E
Statements: F ≥ G > H; I < J ≤ H; J > K
Conclusions:
I. F > J
II. K < G
III. H > K
Statements: N $ Q, Q @ M, M % S, S % T
Conclusions : I. S # Q II. S & Q III. M & T
...Statements: J # K # L $ T & A % B % C
Conclusions : I. A @ C II. A & C �...