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Two vessels A & B contain spirit & water mixed in the ratio 5:2 & 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit & water in the ratio 8:5?

  • Option 1)

    4:3

  • Option 2)

    3:4

  • Option 3)

    2:1

  • Option 4)

    7:9

  • Option 5)

    5:6

A container contains 40L of milk. From this container 4L of milk was taken out & replaced by water. This process was repeated further 2 times. How much milk is now contained in the container?

  • Option 1)

    26.34\: L

  • Option 2)

    35\: L

  • Option 3)

    28\: L

  • Option 4)

    29.16\: L

  • Option 5)

    27.36\: L

How many kg of brand A coffee must be mixed with 126 kg of brand B coffee such that the cost of the mixture is Rs. 24 per kg? Per kg prices of A and B are Rs. 36.60 and Rs. 17.10 respectively.

  • Option 1)

    42\: kg

  • Option 2)

    23 \: kg

  • Option 3)

    69 \: kg

  • Option 4)

    55 \: kg

  • Option 5)

    63.5\: kg

16 litres of draught beer contains 216 calories and 16 litres of Kingfisher contains 174 calories. If an 8 litre mixture of both the beers contains 101 calories, the fraction of Kingfisher beer in the mixture is

  • Option 1)

    2/5

  • Option 2)

    1/2

  • Option 3)

    1/3

  • Option 4)

    1/4

  • Option 5)

    2/3

A merchant purchased two qualities of pulses at the rate of Rs. 200 per quintal and Rs. 260 per quintal. In 52 quintals of the second quality, how much pulse of the first quality should be mixed so that by selling the resulting mixture at Rs. 300 per quintal, he makes a profit of 25%?

  • Option 1)

    100\: quintals

  • Option 2)

    50\: quintals

  • Option 3)

    26 \: quintals

  • Option 4)

    None\: of\: these

  • Option 5)

    104 \: quintals

Ravi covered a distance of 300 km in 20 hours in 2 parts. He covered the first part by a car which was driven at a speed of 20 km/hr and the second part by an auto rickshaw that was driven at a speed of 12 km/hr. The ratio of the distances covered by Ravi in the two parts is:

  • Option 1)

    1 : 1

  • Option 2)

    4 : 5

  • Option 3)

    5 : 3

  • Option 4)

    3 : 5

  • Option 5)

    2 : 3

Two vessels contain a mixture of diesel and kerosene. In the first vessel, the ratio of diesel to kerosene is 8 : 3 and in the second vessel the ratio is 5 : 1. A 35 litre drum is filled from these vessels so as to contain a mixture of diesel and kerosene in the ratio 4 : 1. How many liters are taken from the second vessel?

  • Option 1)

    11 \: liters

  • Option 2)

    23 \: liters

  • Option 3)

    24\: liters

  • Option 4)

    17.5 \: liters

  • Option 5)

    35\: liters

Alloy 'CuZ' has Cu : Zn 4 : 1 while alloy 'ZiC' has Cu : Zn 1 : 3. One melting 10 kg of CuZ with 16 kg of Zic and some amount of pure Cu, a new alloy 'Cuzec' with Cu : Zn 3 : 2 is obtained. The weight of Cuzec is

  • Option 1)

    9 \: kg

  • Option 2)

    35\: kg

  • Option 3)

    40\: kg

  • Option 4)

    None of these

  • Option 5)

    30\: kg

How many kgs of Basmati rice costing Rs. 42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs. 24 per kg so that he makes a profit of 25% on selling the mixture at Rs. 40/kg?

  • Option 1)

    20 kgs

  • Option 2)

    12.5 \: kgs

  • Option 3)

    16 \:kgs

  • Option 4)

    18 \: kgs

  • Option 5)

    200 \:kgs

From 40 liters of 2: 3 milk-water solutions, 5 liters are withdrawn and replaced by 5 liters of water. Now, 8 liters are withdrawn and replaced by 8 liters of water. Finally, 10 liters are withdrawn and replaced by 10 liters of water. What is the ratio of water to milk in the solution now?

  • Option 1)

    21: 79

  • Option 2)

    79 : 21

  • Option 3)

    2 : 6

  • Option 4)

    1 : 4

  • Option 5)

    4 : 9

18 liters are drawn from a bucket full of pure milk, and it is then completely filled with water. 18 litres of the mixture are again drawn and the bucket is again filled completely with water. The ratio of the volume of water now left in the bucket to that of the milk in it is 9 : 16. What is the total capacity (in litres of the bucket)?

  • Option 1)

    80

  • Option 2)

    45

  • Option 3)

    90

  • Option 4)

    55

  • Option 5)

    18

From 90 liters of 4: 5 milk-water mixture, 15 liters are taken out and replaced by same amount of water. This process is repeated once more. Now, 9 liters of the mixture is taken out and replaced by same amount of milk. The amount of water at the end of third cycle is how much percent of the amount of water at the end of second cycle?

  • Option 1)

    20%

  • Option 2)

    90%    

  • Option 3)

    201.6%

  • Option 4)

    49.6%

  • Option 5)

    10%    

From a cask of milk containing 30 litres, 6 litres are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of litres of milk left in the cask?

  • Option 1)

    0.512\: liter

  • Option 2)

    18\: liter

  • Option 3)

    14.38 \: liters

  • Option 4)

    15.36 \:liters

  • Option 5)

    12\: liters

There are some shepherds and their sheep in a grazing field. The no. of total heads are 60 and total legs are 168 including both men and sheep. The no. of sheep are:

  • Option 1)

    20

  • Option 2)

    26

  • Option 3)

    24

  • Option 4)

    36

  • Option 5)

    18

Gold is 19 times as heavy as water and copper 9 times. In what ratio should these metals be mixed so that the mixture may be 15 times as heavy as water?

  • Option 1)

    5 : 6

  • Option 2)

    3 : 2

  • Option 3)

    2 : 3

  • Option 4)

    4 : 5

  • Option 5)

    1 : 2

In a class of 30 students, the average weight of boys is 20 kg and the average weight of the girls is 25 kg. The fraction of boys out of the total students of the class is

  • Option 1)

    7/8

  • Option 2)

    5/6

  • Option 3)

    3/4

  • Option 4)

    Data insufficient

  • Option 5)

    4/5

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