29
Q:

From a container of wine, a thief has stolen 15 litres 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 litres B) 100 litres
C) 150 litres D) 120 litres

Answer:   D) 120 litres



Explanation:

wine(left)wine(added) = 343169

 

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

  

Thus,  343x = 512x1 - 15k3

 

 343512 = 783 = 1 - 15k3

 

 1-15k=78=1-18

  

Thus the initial amount of wine was 120 liters.

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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3 253
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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2 181
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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2 211
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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0 236
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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0 402
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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3 370
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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3 492
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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1 351