Question
Deepak and Deepti with each other can complete a work in
60 days, Deepti and Danny in 90 days and Deepak and Danny in 90 days. In how many days can Deepak, Deepti and Danny can complete the work if they work individually alone?Solution
ATQ, We can say that let no of days taken by Deepak, Deepti and Danny when they work alone be taken as - x, y and z days individually. (1/x) + (1/y) = (1/60)..........eq(1) (1/y) + (1/z) = (1/90)...........eq(2) (1/x) + (1/z) = (1/90)............eq(3) While adding eq(1),(2) and (3) we get (2/x) + (2/y) + (2/z) = (1/60) + (1/90) + (1/90) = 2((1/x) + (1/y) + (1/z)) (3 + 2 + 2)/180 = (1/x) + (1/y) + (1/z) = (7/360)......eq(4) Now Subtract eq(4) with - eq 1, eq 2 and eq 3. eq(4) - (1) = (1/z) = (7/360) - (1/60) = (1/360) eq(4) - (2) = (1/x) = (7/360) - (1/90) = (1/120) eq(4) - (3) = (1/y) = (7/360) - (1/90) = (1/120) Therefore, no of days taken by Deepak, Deepti and Danny are 120,120 and 360 days individually.
Statements:
P < Q < R < S ≤ B < H; S > N ≥ Y
Conclusions:
I) P < Y
II) R ≥ N
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 the...
Statements: P ≥ Q ≥ R = S, Q ≥ T > U ≥ V
Conclusion:
I. P ≥ V
II. P > V
Statements: J < K; L = M; K >N ≥ L
Conclusions:
I. J < L
II. N = M
Statements: M = N ≤ P = C > G, D ≥ M > T = F
Conclusion:
I. D ≥ N
II. N > F
III. F < P
Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
Which of the following expression symbols should replace the question mark(?) in the given expressions to make the expression C ≥ E as well as D > M d...
Statement: M < N; L ≥ U; L ≥ Q; U > N ≥ T
Conclusion:
I. N > Q
II. Q > T
Statements: X < H = U ≤ I < N = M, M > B ≥ V
Conclusions:
I. I > V
II. U ≥ MStatement: D > C > U < K > E > N < A
Conclusion:
I. D > N
II. D > A
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