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A vessel is full of refined oil. ¼ of the refined oil is taken out and the vessel is filled with mustard oil. If the process is repeated 4 times and 10 litres of refined oil is finally left in the vessel, what is the capacity of the vessel?

 

 

  • Option 1)

     

    33 \: liters

     

  • Option 2)

     

    40 \: liters

     

  • Option 3)

     

    \frac{2560}{81}\: liters

     

  • Option 4)

     

    30\:liters

     

  • Option 5)

     

    \frac{2460}{81}\: liters

     

A bartender stole champagne from a bottle that contained 50% of spirit and he replaced what he had stolen with champagne having 20% spirit. The bottle then contained only 25% spirit. How much of the bottle did he steal?

 

  • Option 1)

     

    82.40%

     

  • Option 2)

     

    83.33%

     

  • Option 3)

     

    85.71%

     

  • Option 4)

     

    88.88%

     

  • Option 5)

     

    80%    

     

In three vessels each of 10 litres capacity, mixture of milk and water is filled. The ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels. If all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

  • Option 1)

    181 : 49

  • Option 2)

    125 : 44

  • Option 3)

    121 : 59

  • Option 4)

    131 : 69

  • Option 5)

    101 : 49

A butler stores wine from a butt of sherry which contained 30% of spirit and he replaced what he had stolen by wine containing only 12 % of spirit. The butt was then 18% strong only. How much of the Butt did he steal?

  • Option 1)

    \frac{1}{3}

  • Option 2)

    \frac{5}{6}

  • Option 3)

    \frac{2}{3}

  • Option 4)

    \frac{4}{7}

  • Option 5)

    \frac{2}{5}

 

A thief steals four gallons of liquid soap kept in a train compartment’s bathroom from a container that is full of liquid soap. He then fills it with water to avoid detection. Unable to resist the temptation he steals 4 gallons of the mixture again, and fills it with water. When the liquid soap is checked at a station it is found that the ratio of the liquid soap is checked at a station it is found that the ratio of the liquid soap now left in the container to the water in it is 36 : 13. What was the initial amount of the liquid soap in the container if it is known that the liquid soap is   neither used nor augmented by anybody else during the entire period?

 

  • Option 1)

     

    7\: gallons

     

  • Option 2)

     

    14 \: gallons

     

  • Option 3)

     

    10\: gallons

     

  • Option 4)

     

    28 \: gallons

     

  • Option 5)

     

    21 \: gallons

     

 

There is a vessel holding 40 litres of milk. 4 litres of milk is initially taken out from the vessel and 5 litres of water is poured in. After this, 5 litres of the mixture from this vessel is replaced with 6 litres of water. And finally 6 litres of mixture from this vessel is replaced with 7 litres of water. How much of the milk (in litres) is there is the vessel now?

 

  • Option 1)

     

    20.24

     

  • Option 2)

     

    27.09

     

  • Option 3)

     

    24.72

     

  • Option 4)

     

    29.42

     

  • Option 5)

     

    22.42

     

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%.The quantity of whisky replaced is:

  • Option 1)

    \frac{4}{5}

  • Option 2)

    \frac{2}{3}

  • Option 3)

    \frac{2}{5}

  • Option 4)

    \frac{3}{5}

  • Option 5)

    \frac{1}{3}

 

The average age of boys in class is 16.66, while the average age of girls is 18.75. Thus the average age of all the 40 students of the class is 17.5. If the difference between the no. of boys and girls is 8, then the no. of girls in the class is:

 

  • Option 1)

     

    12

     

  • Option 2)

     

    16

     

  • Option 3)

     

    18

     

  • Option 4)

     

    20

     

  • Option 5)

     

    Data insufficient

     

 

A vessel contains 125 litres of wine. 25 litres of wine was taken out of the vessel and replaced by water. Then, 25 litres of mixture was withdrawn and again replaced by water. The operation was repeated for third time. How much wine is now left in the vessel?

 

  • Option 1)

     

    64\: Litres.

     

  • Option 2)

     

    41 \: litres

     

  • Option 3)

     

    50\: Litres.

     

  • Option 4)

     

    45 \: litres

     

  • Option 5)

     

    52 \: litres

     

 

Three equal glasses are filled with mixture of milk and water. The proportion of milk and water in each glass is as follows: In the first glass as 3 : 1, in the second glass as 5 : 3 and in the third as 9 : 7. The contents of the three glasses are emptied into a single vessel. What is the proportion of milk and water in it?

 

  • Option 1)

     

    31 : 17

     

  • Option 2)

     

    32 : 21

     

  • Option 3)

     

    45 : 11

     

  • Option 4)

     

    12 : 26

     

  • Option 5)

     

    11 : 25

     

 

Three glasses of sizes containing 3 litres, 4 litres and 5 litres contain mixture of milk and water in the ratio 2: 3, 3: 7 and 4: 11, respectively. The contents of all the three glasses are poured into a single vessel. Find the ratio of milk.

 

  • Option 1)

     

    14: 31

     

  • Option 2)

     

    15: 21

     

  • Option 3)

     

    56: 89

     

  • Option 4)

     

    21:22

     

  • Option 5)

     

    18: 19

     

In a mixture of 45 litres, the ratio of milk and water is 3 : 2, How much water must be added to make the ratio 9 : 11?

  • Option 1)

    10 \: litres

  • Option 2)

    15\: litres

  • Option 3)

    25 litres

  • Option 4)

    20\: litres

  • Option 5)

    17 \: litres

There are 3 containers A, B and C which contain water, milk and acid respectively in equal quantities. 10% of the content of A is taken out and poured into B. Then, the same amount from B is transferred to C, from which again the same amount is transferred to A. What is the proportion of milk in container A at the end of the process?

  • Option 1)

    1/20

  • Option 2)

    1/11

  • Option 3)

    1/21

  • Option 4)

    2/13

  • Option 5)

    9/10

How much water must be mixed in 300 ml of sugar solution which contain 40% sugar by weight, such that it becomes a 30% sugar solution?

  • Option 1)

    50 ml

  • Option 2)

    80 ml

  • Option 3)

    90 ml

  • Option 4)

    100 ml

  • Option 5)

    75 ml

 

Three vessels whose capacities are as 5 : 3 : 2 are completely filled with milk mixed with water. The ratio of milk to water in the mixture of vessels are as 3:2, 2:1 and 3:1 respectively. Find the percentage of water in the new mixture obtained when one-third of first, half of second and two-thirds of the third vessel is taken out and mixed together.

 

  • Option 1)

     

    40%

     

  • Option 2)

     

    50%

     

  • Option 3)

     

    16.66%

     

  • Option 4)

     

    33.33%

     

  • Option 5)

     

    66.66%           

     

Three vessels contain equal mixtures of milk and water in the ration 6:1, 5:2 and 3:1 respectively. If all the solutions are mixed together, the ratio of milk to water in the final mixture will be

  • Option 1)

    20:65

  • Option 2)

    65:64

  • Option 3)

    19:65

  • Option 4)

    65:19

  • Option 5)

    64:65

Gold in 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio these two metals be mixed so that the alloy is 15 times as heavy as water is

  • Option 1)

    2:1

  • Option 2)

    3:2

  • Option 3)

    4:2

  • Option 4)

    2:3

  • Option 5)

    1:2

A jar contain a mixture of two liquids A and B in the ratio 4:1. When 10 litres of the mixture is taken out and 10 litres of liquid B is poured into the jar, the ratio becomes 2:3. How many litres of liquid A was contained in the jar?

  • Option 1)

    14\: litres

  • Option 2)

    15 \: litres

  • Option 3)

    20 \: litres

  • Option 4)

    16\: litres

  • Option 5)

    18\: litres

There are two alloys made up of copper and aluminium. In the first alloy copper is half as much as aluminium and in the second alloy copper is thrice as much as aluminium. How many times the second alloy must be mixed with first alloy to get the new alloy in which copper is twice as much as aluminium?

  • Option 1)

    2

  • Option 2)

    1

  • Option 3)

    4

  • Option 4)

    5

  • Option 5)

    3

A shopkeeper sold goods for Rs. 2400 and made a profit of 25% in the process. Find his profit percent if he had sold his goods for Rs. 2040.

  • Option 1)

    6.25%

  • Option 2)

    8%

  • Option 3)

    6.20%

  • Option 4)

    6.5%

  • Option 5)

    7%

 

By selling bouquets for Rs. 63, florist gains 5%. At what price should he sell the bouquets to gain 10% on the cost price?

 

  • Option 1)

     

    Rs.66

     

  • Option 2)

     

    Rs. 69

     

  • Option 3)

     

    Rs.80

     

  • Option 4)

     

    Rs. 72.50

     

  • Option 5)

     

    Rs. 72

     

125 toffees cost Rs. 75, Find the cost of one million toffees if there is a discount of 40% on the selling price for this quantity.

  • Option 1)

    Rs. 3,00,000

  • Option 2)

    Rs. 3,20,000

  • Option 3)

    Rs 3,60,000

  • Option 4)

    Rs. 3,80,000

  • Option 5)

    Rs. 4,00,000

A shopkeeper marks the price of an article at Rs. 80. Find the cost price if after allowing a discount of 10% he still gains 20% of the cost price .

  • Option 1)

    Rs. 53.33

  • Option 2)

    Rs. 80

  • Option 3)

    Rs. 75

  • Option 4)

    Rs. 60

  • Option 5)

    Rs. 70

A dozen pairs of gloves quoted at Rs. 80 are available at a discount of 10%. Find how many pairs of gloves can be bought for Rs. 24.

  • Option 1)

    4

  • Option 2)

    3

  • Option 3)

    6

  • Option 4)

    8

  • Option 5)

    5

A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is :

  • Option 1)

    9%

  • Option 2)

    5%

  • Option 3)

    8%

  • Option 4)

    10%

  • Option 5)

    no profit no loss

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