# PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

How many liters of the mixture from a 90 liter bottle full of 90% concentrated milk has to be replaced with water to make the resultant 60% concentrated?

- (a)
60

- (b)
50

- (c)
30

- (d)
None of these

Answer: Option C

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

Two jugs A and B contain 50 litres each of milk and water respectively. 10 litres of milk is taken from jug A and poured into jug B. Then, 10 litres of solution from jug B is removed and poured into jug A. Let the quantity (in litres) of water in jug B and milk in jug A be *v*_{b} & *v*_{a} respectively. Which of the following is true?

- (a)
*v*_{a}=*v*_{b} - (b)
*v*_{a}<*v*_{b} - (c)
*v*_{a}>*v*_{b} - (d)
Cannot be determined

Answer: Option A

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

From a barrel having 36 litres alcohol, 6 litres are drawn and replaced with water. Then, 12 litres of the mixture is replaced with water. Then, 18 litres of the mixture is replaced with water. Find the final quantity of alcohol in the barrel (in litres).

- (a)
30

- (b)
20

- (c)
10

- (d)
None of these

Answer: Option C

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

Adish bought a 1000 ml bottle of Rum. On the 1st day, he drank 5% of the contents in the bottle and replaced that quantity with water. Next day, he drank 10% of the solution and replaced it with water. He continued this way. On the 19th day, he drank 95% of the solution and replaced it with water. On the 20^{th} i.e. the last day; he drank the entire contents of the bottle. Find the total quantity of water that he drank in the entire process. (Enter your answer as the nearest possible integer in ml).

Answer: 9500

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

From a container full of pure milk, ‘r’ litres of milk was drawn & replaced with water. ‘r’ litres of the solution was again drawn & replaced with water. The ratio of milk & water was then 64 : 225. What fraction of the container’s capacity is ‘r’?

- (a)
9/17

- (b)
8/17

- (c)
15/17

- (d)
None of these

Answer: Option A

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

A bottle full of rum has 65% alcohol. A part of rum is removed & replaced by another variety having 44% alcohol & now the alcohol in the bottle is 56 %. Find the fraction of rum replaced.

- (a)
1/3

- (b)
2/3

- (c)
1/2

- (d)
3/7

Answer: Option D

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

In fresh grapes, 80% of the weight is water while in dry grapes only 20% of the weight is water. How many kg of dry grapes can be obtained from 20 kg of fresh grapes?

[Enter your answer as nearest possible integer in grams]

Answer: 5000

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**PE 2 - Removal & Replacement | Arithmetic - Mixture, Alligation, Removal & Replacement**

A shopkeeper mixes three varieties of rice costing Rs. 15, Rs. 17 and Rs. 22 per kg. Which of the following can represent a possible ratio in which the three varieties are mixed, if the trader makes a profit of 20% by selling the mixture at Rs. 21.60 per kg?

- (a)
2 : 5 : 3

- (b)
2 : 1 : 3

- (c)
2 : 6 : 3

- (d)
1 : 2 : 3

Answer: Option C

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