MEDIUM

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One liter of $a %$ of milk is mixed with three liters of $b %$ of milk to give $60 %$ of milk and $a > b$ . Find how many integer values $' a'$ can take ( $a$ is a multiple of $9$ ).

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Important Questions on Averages

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

A $50$ litre mixture of water and alcohol contains $10 %$ alcohol. How much more alcohol must be added to make the strength of alcohol $40 %$ in the new mixture?

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

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?

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

Two varieties of sugar are mixed together in a certain ratio. The cost of the mixture per Kg is

₹ 0.50

less than that of the superior and

₹ 0.75

more than the inferior variety. The ratio in which the superior and inferior varieties of sugar have been mixed is:

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

Two bottles of the same capacity are

35 %

and

33 \frac{1}{3} %

full of orange juice, respectively. They are filled up completely with apple juice and the contents of both the bottles are emptied into another vessel. The percentage of apple juice in the mixture is:

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

Jar A contains

" X "

ltr of pure milk only. A

27

ltr mixture of milk and water in the respective ratio of

4 : 5

is added to Jar A. The new mixture thus formed in Jar A contains

70 %

milk. What is the value of

X

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

How much quantity (in kg.) of wheat costing

R s . 84

per kg. must be mixed with

81

kg. of wheat costing

R s . 60

per kg. so that on selling the mixture at

R s . 75.9

per kg, there is a gain of

15 %

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

In what ratio a man must mix pulses at

₹ 11.10

per

kg

with

₹ 15.20

per

kg

so as to make a mixture worth

₹ 13.20

per

kg

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

In what ratio, sugar costing

Rs . 60 per kg

be mixed with sugar costing

Rs . 42 per kg

such that by selling the mixture at

Rs . 56 per kg

there is a gain of

12 %

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

How many liters of water should be added to a

30 L

mixture of milk and water containing milk and water in the ratio

7 : 3

, such that the resultant mixture has

40 %

water in it?

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

In what ratio must a mixture of

15 %

spirit strength be mixed with that of

25 %

spirit strength to get a mixture of

21 %

spirit strength?

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

25

litres of a mixtures 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:

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

A mixture contains wine and water in the ratio

3 : 2

and another mixture contains them in the ratio

4 : 5

. How many litres of the latter must be mixed with

3

litres of the former so that the resultant mixture may contain equal quantities of wine and water?

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

A vessel contains a

32

litres

solution of acid and water in which the ratio of acid and water is

5 : 3

12 litres

of the solution are taken out and

7 \frac{1}{2} litres

of water and added to it, then what is the ratio of acid and water in the resulting solution?

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

A container contains

40

litres of milk. From this container

4

litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

A vessel contains a solution of two liquids A and B in the ratio

5 : 3

. When

10 liters

of the solution is taken out and replaced by the same quantity of B, the ratio of A and B in the vessel becomes

10 : 11

.The quantity (in

litres

) of the solution, in the vessel, was ______.

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

In a mixture of

60 litres

, the ratio (by volume) of milk and water is

2 : 1

. If X litres of water is added to the mixture, the ratio of milk and water becomes

1 : 2

, then what is the value of X?

EASY

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

The ratio (by volume) of milk and water in a mixture is

2 : 1

. If we add

12 litres

of water in the mixture, then the ratio of milk and water becomes

4 : 3

. What is the quantity of water in the new mixture?

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

A

can contain a mixture of two liquids

A

and

B

in the ratio

7 : 5

. When

9 L

of mixture is drain off and the can is filled with

B

, the ratio of

A

and

B

becomes

7 : 9

. How many litres of liquid

A

was contained by the can initially?

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

The ratio of milk to water is

5 : 4

. If two litres of water is added, the ratio becomes

10 : 9

, then find a new amount of water in the mixture.

MEDIUM

General Test>Quantitative Reasoning>Averages>Mixtures and Alligations

18

litres of pure water was added to a vessel containing

80

litres of pure milk.

49

litres of the resultant mixture was then sold and some more quantity of pure milk and pure water was added to the vessel in the ratio of

2 : 1

. If the resultant ratio of milk and water in the vessel was

4 : 1

, what was the quantity of pure milk added in the vessel?

One liter of a% of milk is mixed with three liters of b% of milk to give 60% of milk and a>b. Find how many integer values 'a' can take (a is a multiple of 9).

Important Questions on Averages

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One liter of $a %$ of milk is mixed with three liters of $b %$ of milk to give $60 %$ of milk and $a > b$ . Find how many integer values $' a'$ can take ( $a$ is a multiple of $9$ ).