Alligation or Mixture problems

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

XY + ZX < YZ

XY YZ > ZX

XY YZ < XZ

XY + YZ < ZX

XY + ZX < YZ

XY YZ > ZX

XY YZ < XZ

XY + YZ < ZX

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Alligation or Mixture problems
3 glasses of capacity 2 liters, 5 liters and 9 liters contain mixture of milk and water with milk concentrations 90 %, 80 % and 70 % respectively. The contents of 3 glasses are emptied into a large vessel. Find the milk concentration and ratio of milk to water in the resultant mixture ?

131 : 49

49 : 131

39 : 121

121 : 39

131 : 49

49 : 131

39 : 121

121 : 39

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Alligation or Mixture problems
The concentration of glucose in three different mixtures (glucose and alcohol) is 12,35 and 45 respectively. If 2 litres, 3 litres and 1 litre are taken from these three different vessels and mixed. What is the ratio of glucose and alcohol in the new mixture?

4:3

3:4

2:3

3:2

4:3

3:4

2:3

3:2

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Alligation or Mixture problems
In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is

5:4

5:3

5:2

5:1

5:4

5:3

5:2

5:1

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Alligation or Mixture problems
If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

2 : 5

2 : 3

2 : 1

1 : 5

2 : 5

2 : 3

2 : 1

1 : 5

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Alligation or Mixture problems
In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

3 : 2

3 : 4

4 : 5

3 : 5

3 : 2

3 : 4

4 : 5

3 : 5

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