Question
A container has a mixture of alcohol and water in the ratio
4:3. After removing 84 ml of the mixture and adding 168 ml of water, the quantity of water becomes 100% more than that of alcohol. Find the original quantity of the mixture.Solution
ATQ,
Let the amount of alcohol and water in the original mixture be 4x ml and 3x ml respectively.
Amount of alcohol in 84 ml of mixture = 4/7 × 84 = 48 ml
Amount of water in 84 ml of mixture = 84 – 48 = 36 ml
According to the question:
(3x – 36 + 168) = 2 × (4x – 48)
Or, 3x + 132 = 8x – 96
Or, 5x = 228
Or, x = 45.6
Original quantity of mixture = 7x = 7 × 45.6 = 319.2 ml
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
Statements: S > V = T, U < X < T, W > U
Conclusions:
I. W > T
II. V > U
III. S > X
Statements: D = E ≥ M > H = L, H ≤ F < G ≤ J < I
Conclusions:
I. I > L
II. D ≥ F
III. G < EStatement: E < F ≤ G = H, I ≥ G ≤ J ≤ K
Conclusion: I. K > E Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. H > K
...Which of the following symbols should be placed in the blank spaces respectively (in the same order from left to right) to complete the given expression...
Statements:
A ≥ T > I, D > I, U = P ≥ I
Conclusions:
I. U > D
II. A > I
Statements: Z > X = Y ≥ W; S ≥ I ≤ Q = Z
Conclusions:
I. W < Q
II. S ≥ Y
III. Y < S
Statement: F ≥ G > I > E ≤ P, E = S ≥ PÂ
Conclusion: I. F ≥ P          II. G > P
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 th...
Statements: B ≤ I; E = D; H > F; C ≤ H; I = D; A ≤ B; H < E
Conclusions:
(i) I > F
(ii) B ≤ H
(iii) A ≤ E
(iv) E > F
