69
Q:

From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

A) 15 B) 16
C) 25 D) 31

Answer:   A) 15



Explanation:

Let quantity of mixture be x liters.

 

Suppose a container contains x units of liquid from which y units are taken out and replaced by Water. After operations , the quantity of pure liquid = x1-yxn units, Where n = no of operations . 

 

So, Quantity of Milk = x1-6x2  

 

Given that, Milk : Water = 9 : 16 

 

=> Milk : (Milk + Water) = 9 : (9+16)

 

=> Milk : Mixture = 9 : 25 

 

 Therefore, x1-6x2x=925

 

=> x = 15 liters

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  

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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

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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

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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