40
Q:

From  a container of wine, a thief has stolen 15 liters of wine and replaced it with same quantity of water.He again repeated the same process. Thus in three attempts the ratio of wine and water became 343:169. The  initial amount of wine in the container was:

A) 75 liters B) 100 liters
C) 150 liters D) 120 liters

Answer:   D) 120 liters



Explanation:

Wine (left)Water (added)=343169

 

It means   Wine (left)Wine(initial amount)=343512   343+169 = 512

 

Thus ,       

343x=512x1-15K3

 

 343512=783=1-15k3

 

=> K = 120

Thus the initial amount of wine was 120 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  

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

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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