Question
The Jar contains only 8 litres of milk and the rest is
water. A new mixture in which concentration of milk is 30%, is to be formed by replacing the Jar mixture. How many litres of mixture shall be replaced with pure milk if there was initially 32 litres of water in the mixture?Solution
Milk : water 8 : 32 Ratio = 1: 4 Initial mixture = 8 + 32 = 40 litres Using Allegation method, 
Initial Mixture = 8 unit → 40 litres 1 unit = 5 litre The mixture of water and milk is replaced by 5 litres. Alternate method: As we know that mixture replaced in the same ratio in which original mixture was there. Let milk & water replaced out of mixture is x & 4x respectively. So, milk/water = (8-x+5x)/(32-4x) = (30%)/(70%) = 3/7 or 56+28x = 96-12x or 40x = 40 or x = 1 Hence, quantity of milk & water replaced is 1 & 4 L respectively. Therefore the mixture of water and milk is replaced by 5 litres.
Statements: B ≤ C = T; Z ≥ N ≥ D > K ≥ T
Conclusions:
I. C < N
II. B ≤ K
III. N > B
...In each of the questions below are given some statements followed by two conclusions. You have to take the given statements to be true even if they see...
Statements:
A ≤ B > E ≥ F; M > E < N
Conclusions:
I. N > F
II. B > F
Which of the following will be definitely true if the given expression P > S ≥ U > V = T ≤ W < R = Q is definitely true?
Statements:
R ≤ A ≤ B > C = X < J < K = L
Conclusions: I. R ≤ B II. L > C ...
Which of the following symbols should replace the sign ($) and (*) respectively in the given expression in order to make the expression A ≥ J and P ...
Statements: L > M > Z ≥ S < R = O < N
Conclusion
I. N ≥ L
II. L > S
...In this question, two statements are followed by two conclusions, numbered I and II. Find out wh conclusion(s) is/are definitely true, based on the giv...
Statement: W ≥ V > U < G ≥ S; V ≥ I = P
Conclusion: I. W > I II. W = P
Statements:
B < C ≤ I = O; C ≥ J ≥ K ≥ N; Z ≤ M ≤ N
Conclusions:
I) O > Z
II) O = Z
...
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