EASY

CAT

IMPORTANT

Earn 100

There are two solutions of sulphuric acid (acid + water) with concentration of $50 %$ and $80 %$ , respectively. They are mixed in a certain ratio to get a $62 %$ sulphuric acid solution. This solution is mixed with $6 L$ of water to get back $50 %$ solution. How much of the $80 %$ solution has been used in the entire process?

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Important Questions on Arithmetic

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 37

Two-fifths of the volume of the mixture of the milk and water is of the ratio of $4 : 3$ is converted into a mixture of the ratio of $5 : 3$ by the method of replacement with milk. The $4 : 3$ mixture was prepared from a $4 : 1$ mixture by the method of 'addition of the substances of the mixture'. If the replacement volume is $14 L$ , what is the volume of the substance added?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 38

Rakesh has a stock of

1000 L

of pure milk. He decides to decrease the concentration to half, using the method of successive dilution, replacing

200

L

of contents by water, in each step of dilution. After the fourth dilution, he realizes that the concentration is less than the required value. Each of the contents removed during the dilution process is stored separately. He also has ample supply of water. Will he be able to make the mixture of desired concentration?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 39

An industrial solvent of

90 %

strength is prepared and stored in a

150 L

capacity container. The container is filled to

80 %

of its capacity. It is required to decrease the concentration of the solvent in the container to less than

60 %

. For doing this, either pure water can be added to it and/or solution can be removed. But removal can only be done if there is no place for adding water. At a given time, only

10 L

of the solution can be added or removed. How many times should water be added to the solution?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 40

Four gallons are drawn from a case full of wine. It is then filled with water. Four gallons of mixture are again drawn and the cask is re-filled with water. The ratio of the quantity of wine now left in the cask to that of the mixture in it is

36 : 49

. How much does the cask hold?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 41

There is a vessel holding

40 L

of milk. Four litres of milk is initially taken out from the vessel and

4 L

of water is then poured in. After this,

5 L

of mixture is replaced with

5 L

of water. And finally

6 L

of the mixture is replaced with

6 L

of water. How much milk (in litres) is there in the vessel?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 42

There is a vessel holding

40 L

of milk. Four litres of milk is initially taken out from the vessel and

5 L

of water is poured in. After this,

5 L

of the mixture from this vessel is replaced with

6 L

of water. And finally

6 L

of mixture from this vessel is replaced with

7 L

of water. How much of the milk (in litres) is there in the vessel now?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 43

There is a vessel holding

40 L

of milk. Four litres of milk initially is taken out from the vessel and

5 L

of water is poured in. After this,

6 L

of mixture from this vessel is replaced with

7 L

of water. And finally

8 L

of mixture from this vessel is replaced with

9 L

of water. How much of the milk (in litres) is there in the vessel now?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 44

There are three vessels

A, B

and

C

having a mixture of milk and water. Concentration of milk in the vessels is

C_{1}, C_{2}

, and

C_{3}

, respectively. When a part of vessel

A

is replaced with the mixture in vessel

B

, then the concentration of milk in the final mixture is less than

C_{1}

. However, when vessels

B

and

C

are mixed in the ratio of

1 : 1

, then the quantity of milk in the final mixture is double than the quantity of milk in the vessel

B

. Which of the vessels is having the mixture of maximum concentration of milk?

Important Questions on Arithmetic

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