Question
Atul, Qureshi, and Chintu can individually complete a
certain task in 27 days, 30 days, and 36 days, respectively. They all begin working on the task together, but Chintu stops after 4 days. Additionally, Qureshi leaves 5 days before the task is finished. How many days does it take to complete the entire task?Solution
ATQ,
Let the total task = 540 units (LCM of 27, 30 and 36) Amount of task done by Atul alone in one day = 540/27 = 20 units Amount of task done by Qureshi alone in one day = 540/30 = 18 units Amount of task done by Chintu alone in one day = 540/36 = 15 units Amount of task done by Atul, Qureshi and Chintu together in 4 days = 4 × (20 + 18 + 15) = 212 units Amount of task done by Atul alone in 5 days = 5 × 20 = 100 units Remaining work = 540 – 212 – 100 = 228 units Time taken by Atul and Qureshi together to complete 228 units work = 228/(20 + 18) = 228/38 = 6 days So the total time taken to complete the task= 6 + 4 + 5 = 15 daysÂ
Statement: A = B ≥ C ≥ D < E < F ≥ G; D > H
Conclusion:
I.  H ≥ G
II. Â A > H
...Statements: A > B > C, C < D > E, E = F > G
Conclusion:
I. C = G
II. A > F
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:
O ≤ P = Y ≤ U; L > G ≥ W = Q ≥ Y; G < A ≤ R < D
Conclusions:
I. P < R
II. G ≥ P
Statements: N < G ≥ F > E ≥ D, D = O ≥ I > P
Conclusions:
I. D < G
II. N > I
III. P < E
Statements: P = Q = R > S > T > Z; U > R < V < W > X
Conclusions:
I. W > Z
II. R < W
III. R < X
Statements: N = Q < X ≤ L, L > T = G ≥ E
Conclusions:
I. L ≥ Q
II. G > X
III. L > N
Statements: W ≤ T = R; T < U < S; X = W ≥ Y
Conclusions:
I. S > Y
II. W ≥ S
III. U ≥ Y
Statements: L ≤ Y = T ≤ S; S = F ≤ U; K > N = U
Conclusions:
I. K > T
II. U ≥ L
...Statements: J > K = L ≥ N > M > O ≥ P
Conclusions:
I. K ≥ O
II. J = N
III. P < N
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