Alligation or Mixture problems
- 1. In a container, there is 960 ltr of pure milk from which 48 ltr of milk is replaced with 48 ltr of water, again 48 ltr milk is replaced by same amount of water, as this process is done once more. Now, what is the amount of pure milk?
Options- A. 901.54 ltr
- B. 821.54 ltr
- C. 719.64 ltr
- D. 823.08 ltr Discuss
Correct Answer: 823.08 ltr
Explanation:
Amount of pure milk= a(1 ?b/a)n(n = 3, a = pure milk and b = amount replaced)= 960 (1 ?48/960)^3= 960(1-1/20)^3= 960 * 19/20 * 19/20*19/20= 823.08 lt.
- 2. There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.
Options- A. 25 Litres
- B. 20 Litres
- C. 35 Litres
- D. 30 Litres Discuss
Correct Answer: 30 Litres
- 3. An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?
Options- A. 250
- B. 750
- C. 1000
- D. 500 Discuss
Correct Answer: 500
- 4. A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?
Options- A. 45
- B. 40
- C. 35
- D. 44 Discuss
Correct Answer: 35
- 5. An alloy is made by mixing metal A costing Rs 2000/kg and metal B costing Rs 400/kg in the ratio A:B = 3:1. What is the cost (in Rs) of 8 kilograms of this alloy?
Options- A. 1600
- B. 9800
- C. 6400
- D. 12800 Discuss
Correct Answer: 12800
- 6. A beaker contains acid and water in the ratio 1 : x. When 300 ml of the mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2 : 5. What is the value of x?
Options- A. 2
- B. 1
- C. 3
- D. 4 Discuss
Correct Answer: 2
- 7. A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?
Options- A. 110
- B. 55
- C. 220
- D. 70 Discuss
Correct Answer: 110
- 8. In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4:3 respectively. If in upper half, blue : yellow is 2:3, then in the lower half blue : yellow is
Options- A. 1 : 1
- B. 2 : 1
- C. 26 : 9
- D. 9 : 26 Discuss
Correct Answer: 26 : 9
- 9. Tea worth of Rs. 135/kg & Rs. 126/kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be____?
Options- A. Rs. 169.50
- B. Rs.1700
- C. Rs. 175.50
- D. Rs. 180 Also asked in: CAT, Bank Exams, AIEEE
Correct Answer: Rs. 175.50
- 10. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16 : 65. How much wine the cask hold originally?
Options- A. 18 litres
- B. 24 litres
- C. 32 litres
- D. 42 litres Discuss
Correct Answer: 24 litres
Explanation:
Let the quantity of the wine in the cask originally be x litres
Then, quantity of wine left in cask after 4 operations =
litres
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