EASY

CAT

IMPORTANT

Earn 100

A curious student of statistics calculated the average height of all the students of his class as $A$ . He also calculated the average of the average heights of all the possible pairs of students (two students taken at a time) as $B$ . Further, he calculated the average of the average heights of all the possible triplets of students (three students taken at a time) as $C$ . Which of the following is true of the relationship among $A, B,$ , and $C$ ?

50% studentsanswered this correctly

Important Questions on Arithmetic

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 34

A succession of numbers is said to be in the Arithmetic Progression (AP) if the difference between any given term and the previous term is constant throughout. In a AP

n_{1}, n_{2}, n_{3}, \dots, n_{46}

, the sum of odd numbered terms

n_{1}, n_{3}, n_{5}, \dots, n_{45}

, is

1272

. What is the sum of all the

46

terms of this AP?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 35

There are two vessels of milk of different prices with the volume of $220 \mathrm{~L}$ and $180 \mathrm{~L}$, respectively. Equal amounts of milk were poured off simultaneously from the two vessels and the milk poured off from the first vessel was poured into the second vessel and the milk poured off from the second vessel was poured into the first vessel. Then, the price of milk in both the vessels becomes the same. How much milk was poured from onc vessel into the other?

EASY

CAT

IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 36

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?

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?

Important Questions on Arithmetic

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