573
Q:

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?

A) 18 litres B) 24 litres
C) 32 litres D) 42 litres

Answer:   B) 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 =x1-8x4litres

 

x1-8x4x = 1681  

 

 1-8x4=234 

 

x=24

Q:

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

 

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

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6 1074
Q:

7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?

 

A) 10 B) 15
C) 20 D) 25
 
Answer & Explanation Answer: C) 20

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6 797
Q:

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

 

A) 28 B)  32
C)  26 D)  34
 
Answer & Explanation Answer: B)  32

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4 847
Q:

A natural number, when divided by 5,6,7 or 8,leaves a remainder of 4 in each case. what is the smallest of all such numbers?

 

 

A) 214 B) 424
C) 844 D) 1264
 
Answer & Explanation Answer: C) 844

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0 766
Q:

In a bucket, paint and oil are in the ratio 7 : 5. 24 litres of mixture is drawn off and 24 litres of oil is added. If the ratio of paint and oil becomes 1 : 1, then how many litres of paint was contained in the bucket initially?

 

A) 49   B)  63  
C)  84   D) 98
 
Answer & Explanation Answer: D) 98

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0 1664
Q:

In what ratio rice costing Rs 14/kg mixed with another rice costing Rs 11/kg to get the mixture costing Rs 11.6/kg?

 

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

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4 828
Q:

Two water-squash mixtures, the first having a water-to-squash ratio of 4 : 1 and the other having a ratio of 3 : 1, are blended in the ratio 1 : 2. What is the water : squash ratio in the blend?

A) 19:11 B) 23:7
C) 17:13 D) 4:3
 
Answer & Explanation Answer: B) 23:7

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5 1230
Q:

A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?

 

A) 32 B) 35
C) 40 D) 42
 
Answer & Explanation Answer: B) 35

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1 693