Alligation or Mixture problems
- 1. The ratio of milk to water is 5:4. If two litres of water is added, the ratio becomes 10:9, then find the new amount of water in the mixture.
Options- A. 12 litres
- B. 14 litres
- C. 16 litres
- D. 17 litres Discuss
Correct Answer:
Explanation:
Let initial quantity of milk & water in the mixture are 5x & 4x
2 litres water is added.
Hence,
New quantity of milk & water will be 5x & (4x+2)
ATQ,
5x/(4x+2) = 10/9
x/(4x+2) = 2/9 9x = 8x + 4
x=4
Hence,
New amount of water in the mixture = 4x+2 = (4*4) + 2 = 18 litres.
- 2. A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.
Options- A. 4 kg
- B. 5 kg
- C. 8 kg
- D. 3 kg Discuss
Correct Answer: 4 kg
Explanation:
Let the weight of vessel be x
Weight of water = 24 ? x
? (24 ? x)/4 + x = 9
? 24 ? x + 4x = 36
? 3x = 12
? x = 4 kg
- 3. Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?
Options- A. 73 : 106
- B. 73 : 116
- C. 73 : 113
- D. 73 : 189 Discuss
Correct Answer: 73 : 116
- 4. In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in millilitres) of mixture?
Options- A. 2300
- B. 2200
- C. 2350
- D. 2400 Discuss
Correct Answer: 2300
- 5. 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
Options- A. 5:1
- B. 5:2
- C. 5:3
- D. 5:4 Discuss
Correct Answer: 5:2
- 6. Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?
Options- A. 7:13
- B. 11:57
- C. 23:37
- D. 1:3 Discuss
Correct Answer: 7:13
- 7. In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is
Options- A. 3:2
- B. 2:3
- C. 3:4
- D. 5:2 Discuss
Correct Answer: 5:2
- 8. A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?
Options- A. 3
- B. 1
- C. 2
- D. 4 Discuss
Correct Answer: 3
- 9. 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?
Options- A. 2 : 5
- B. 1 : 5
- C. 2 : 3
- D. 2 : 1 Discuss
Correct Answer: 2 : 5
- 10. In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?
Options- A. 3 : 1
- B. 1 : 3
- C. 1 : 4
- D. 4 : 1 Discuss
Correct Answer: 1 : 3
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