Question
Quantity I: A and B can complete a work together in 12
days. After working together for 6 days, A leaves, and B finishes the remaining work in 10 more days. How many days would it take for A alone to complete the entire work? Quantity II: C and D together can complete a job in 15 days, but if C worked alone, he would take 24 days. D worked alone for 6 days before C joined to complete the remaining job together. How many days in total did it take to finish the work?Solution
Quantity I: Let the total work be 1 unit. Combined rate of A and B = 1/12 units per day. In 6 days, they complete 6 * (1/12) = 1/2 of the work. Remaining work = 1 - 1/2 = 1/2 unit, which B completes in 10 days. B’s rate = (1/2) / 10 = 1/20 units per day. Rate of A alone = (1/12) - (1/20) = (5 - 3)/60 = 1/30 units per day. Time taken by A alone to complete the work = 1 / (1/30) = 30 days. Quantity II: Let the total work be 1 unit. Combined rate of C and D = 1/15 units per day. C’s rate alone = 1/24 units per day, so D’s rate = (1/15) - (1/24) = 1/40 units per day. D worked alone for 6 days, completing 6 * (1/40) = 3/20 of the work. Remaining work = 1 - 3/20 = 17/20. Time for C and D together to complete 17/20 work = (17/20) / (1/15) = (17/20) * 15 = 12.75 days. Total time = 6 + 12.75 = 18.75 days. Answer: A (Quantity I < Quantity II)
Statement: M>T≤Z; T>Q ; X ≥R>Q
I. X ≥ M
II. Q < M
Statements: Â P * R, M & N, R $ M
Conclusions:Â Â Â Â Â a) P @ MÂ Â Â Â Â Â Â Â Â Â Â Â Â b) P $ M
...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 the...
Statement: B > C = J; B > S > E; B < N
Conclusion: I. E < C      II. J ≤ E
Statements:Â Â Â Â Â Â Â X @ Y % M % N; M $ P $ Z
Conclusions :     I. Y % Z               II. X @ N          �...
Statements: V ≤ R ≥ Q; R ≤ N < Y; I > Y ≤ S
Conclusions:
I. V ≤ S
II. I > Q
III. S > N
Statements: R % B, B & T, T @ E, E % G
Conclusions : I. T $ R II. R @ E III. B @ G
...Statement: H > G = M > S ; GÂ `>=` Â T > L; MÂ `<=` Â F <Â U
    Conclusion:  I. L > M          II. G < U
...How many such pairs of letter are there in the word TELEPHONE, each of which has as many letters between them in the word as in the English alphabet?
Statements: B > C; D > E = F < G ≥ H; C > I = D
Conclusions:
I. B < E
II. G > E
III. I < B
