Question
A jar has 360 liters of a syrup and water mixture in the
ratio 3:2 (syrup : water). If x liters of this mixture is drawn out and replaced with water, then the ratio of water to syrup becomes 4:5. Find x?Solution
ATQ, Syrup in the initial mixture = 360 * 3/(3 + 2) = 360 * 3/5 = 216 liters Water in the initial mixture = 360 β 216 = 144 liters (216 β x * 3/(3 + 2)) / (144 β x * 2/(3 + 2) + x) = 5/4 [since final syrup : water = 5 : 4 β syrup / water = 5/4] (216 β 3x/5) / (144 β 2x/5 + x) = 5/4 (216 β 3x/5) / (144 + 3x/5) = 5/4 4(216 β 3x/5) = 5(144 + 3x/5) 864 β 12x/5 = 720 + 15x/5 864 β 720 = 15x/5 + 12x/5 144 = 27x/5 x = 144 * 5 / 27 x = 720 / 27 x = 80/3 x = 80/3 liters
In the question, assume the given statements to be true. Find which of the following conclusion(s) among the three conclusions is/ are definitely true ...
Statements: Y < X β₯ B < V; A < L β€ K; R β€ F β€ O < X; V β€ K
Conclusions:
I. R < K
II. A < B
III. Y < F
Statements : C β€ A < B β€ D; E < B > F > G; I < H < G
Conclusions :
I. B > I
II. D > H
III. H < B
Statements: 21 < 51 = 71 β€ 61 < 11; 32 < 81 β€ 91 =51
Conclusions:
I. 11 > 81
II. 21 > 32
III. 32 β₯ 21
Statements: V < P β€ F = Y, Y < O β€ J < SΒ
Conclusions:
I. V β€ O
II. F < J
III. S > P
Statements:Q ≥ R,R < S,S < T
Conclusions: I. T > R II. Q ≥ T
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...
Statement: A > B < D = E < C < F > G β₯ J; D > H
Conclusions:
I. A > H
II. F > H
III. D > F
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 t...
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...