Alligation or Mixture problems
In a triangle XYZ , which of the following conditions is true

XY + YZ < ZX
XY YZ < XZ
XY YZ > ZX
XY + ZX < YZ

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Alligation or Mixture problems
From a cask of wine containing 25 litres, 5 litres are withdrawn and the cask is refilled with water. The process is repeated a second and then a third time. Find the quantity of wine left in the cask and also the ratio of wine to water in the resulting mixture.

64 : 61
16 : 46
61 : 64
46 : 16

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Alligation or Mixture problems
The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

1 : 1
4 : 9
5 : 7
4 : 7

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Alligation or Mixture problems
In a 40 litre mixture of alcohol & water, the ratio of alcohol and water is 5 : 3. If 20% of this mixture is taken out and the same amount of water is added then what will be the ratio of alcohol and water in final mixture?

3:1
1:2
1:1
2:1

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