Alligation or Mixture problems
- 1. In a triangle XYZ , which of the following conditions is true
Options- A. XY YZ > ZX
- B. XY + YZ < ZX
- C. XY YZ < XZ
- D. XY + ZX < YZ Also asked in: Bank Exams
Correct Answer: XY YZ < XZ
- 2. Three boxes of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of wheat A, B and C respectively. All the three boxes were emptied and the three types of wheat were thoroughly mixed and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the third box (in kg)?
Options- A. 10
- B. 12
- C. 14
- D. 16 Also asked in: Bank Exams
Correct Answer: 14
- 3. In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength ?
Options- A. 7 : 1
- B. 4 : 1
- C. 5 : 2
- D. 9 : 2 Also asked in: Bank Exams
Correct Answer: 7 : 1
- 4. A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is
Options- A. 12 litres
- B. 10 litres
- C. 9 litres
- D. 8 litres Also asked in: Bank Exams
Correct Answer: 9 litres
- 5. 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 Also asked in: Bank Exams
Correct Answer: 7:13
- 6. 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 Also asked in: Bank Exams
Correct Answer: 3
- 7. Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?
Options- A. 5 lit
- B. 3 lit
- C. 8 lit
- D. 2 lit Discuss
Correct Answer: 5 lit
Explanation:
Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4 => Quantity of milk in Jar A = 5/9 x 36 = 20 litres Quantity of water in Jar A = 36 - 20 = 16 litres Let quantity of water in Jar B = x litres => Quantity of milk in Jar B = (20 - x) litres Acc. to ques, =>[20 + (20-x)]/(16+x) = 5/3 => 120?3x = 80+5x => 5x +3x = 120?80 => 8x = 40 => 5 litres.
- 8. 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 Also asked in: Bank Exams
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.
- 9. 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 Also asked in: Bank Exams
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
- 10. 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 Also asked in: Bank Exams
Correct Answer: 73 : 116
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