Question
A mixture contains milk and water, where the difference
between the quantities of milk and water is 20% of the total mixture, which is 180 ml. If adding 18 ml of water changes the ratio of water to milk to 5:6, what is the initial quantity of milk in the mixture?Solution
Difference between initial quantities of milk and water = 0.2 X 180 = 36 ml Let the initial quantity of milk in the solution be 'a' ml. So, initial quantity of water in the solution = (a + 36) ml or, (a - 36) ml Case I: quantity of water = (a + 36) ml (a + 36 + 18) ÷ a = (5/6) Or, 6 X (a + 54) = 5a Or, 6a + 324 = 5a So, 'a' = - 324 which is not possible, since quantities can't be negative. Case II: quantity of water = (a - 36) ml (a - 36 + 18) ÷ a = (5/6) Or, 6 X (a - 18) = 5a Or, 6a - 108 = 5a So, 'a' = 108 Therefore, initial quantity of milk = 108 ml
the following question the relationship between different elements is given in the statements followed by two conclusions given below. Decide which of...
Statements: D = P > Q = X ≤ Y = M; J = X; K > Q
Conclusion: I. M > K II. M ≤ K
Statements:Â
A $ B % D % CÂ
Conclusions:Â
I. B © CÂ
II. A * DÂ
III. C % A
Statements: A = C > G > H = B > O; E < P = R > B
Conclusions:
I). Â E > H
II).  H ≤ E
...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 th...
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 th...
Statements: M ≥ G > K = Y; A ≥ Z ≥ E > M = I
Conclusions:
I. A ≥ I
II. K < E
III. I > G
Statements: R ≥ S = T; R < U < V; W > X > V
Conclusion:
I. U > T
II. T < V
Statements: R > N > Z < O = I ≥ T < W < S ≤ L
Conclusion
I: L > Z
II: O > T
Statement: E < N < Q = W = F ≥ U > A
Conclusion:
I. Q > A
II. E > F
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