62
Q:

A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained ?

A) 5:3 B) 1:4
C) 4:1 D) 9:1

Answer:   D) 9:1



Explanation:

Milk = 3/5 x 20 = 12 liters, water = 8 liters

 

If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.

 

Remaining milk = 12 - 6 = 6 liters

Remaining water = 8 - 4 = 4 liters

 

10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.

 

The ratio of milk and water in the new mixture = 16:4 = 4:1

 

If the process is repeated one more time and 10 liters of the mixture are removed,
then amount of milk removed = 4/5 x 10 = 8 liters.

 

Amount of water removed = 2 liters.

 

Remaining milk = (16 - 8) = 8 liters.

Remaining water = (4 -2) = 2 liters.

 

Now 10 lts milk is added => total milk = 18 lts

 

The required ratio of milk and water in the final mixture obtained

 

= (8 + 10):2 = 18:2 = 9:1.

Q:

In a mixture of 165 litres, the ratio of liquids X and Y is 6 : 5. If 5 litres of liquid Y is added in the mixture, then what is the ratio of X and Y in the new mixture?

 

A) 10 : 9 B) 8 : 7  
C) 9 : 8   D) 5 : 4
 
Answer & Explanation Answer: C) 9 : 8  

Explanation:
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0 453
Q:

25 litres of a mixture contains 30% of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is

 

A) 45% B) 33 1/3%
C) 25 % D) 12 1/2%
 
Answer & Explanation Answer: C) 25 %

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4 493
Q:

The ratio of sand to gravel in a mixture is 17 : 9 while that between gravel and cement is 6 : 17. What is the ratio of sand to cement in the mixture?

 

 

A) 289 : 54 B) 9 : 6
C) 17 : 17 D) 2 : 3
 
Answer & Explanation Answer: D) 2 : 3

Explanation:
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2 459
Q:

Rahul adds 2 litres of alcohol in 6 litres of water and Dinesh adds 1 litres of alcohol in 9 litres of water. What is the ratio of the percentage of alcohol in the two mixtures?

 

A) 7 : 4 B) 2 : 1
C) 5 : 2 D) 8 : 3
 
Answer & Explanation Answer: C) 5 : 2

Explanation:
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4 554
Q:

In what ratio salt costing Rs 13/kg mixed with another salt costing Rs 7/ kg to get a mixture costing Rs 9/kg?

 

A) 4 : 7   B) 3 : 5  
C) 2 : 3   D) 1 : 2
 
Answer & Explanation Answer: D) 1 : 2

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2 378
Q:

In an alloy of German silver. the ratio of copper to zinc was 21 : 16 while that of nickel to zinc was 7 : 24. What was the ratio of copper to zinc to nickel in the alloy?

 

A) 21 : 16 : 7 B) 17 : 21 : 4
C) 63 : 48 : 14 D) 68 : 28 : 21
 
Answer & Explanation Answer: C) 63 : 48 : 14

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4 1038
Q:

Vipin adds 3 litres of liquid A in 6 litres of liquid B and Mohit adds 8 litres of liquid A in 15 litres of liquid B. What is the ratio of the percentage of liquid B in the two mixtures?

 

A) 26 : 25 B) 51 : 32
C) 46 : 45 D) 34 : 25
 
Answer & Explanation Answer: C) 46 : 45

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5 503
Q:

Two vessels of equal volume contain milk and water in the ratio 1:3 and 2:1. If they are mixed together, what is the new ratio?

A) 11:13 B) 13:11
C) 9:11 D) 11:9
 
Answer & Explanation Answer: A) 11:13

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4 568