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Two types of tea, $A$ and $B$ , are mixed and then sold at $₹ 40$ per $kg$ . The profit is $10 %$ if $A$ and $B$ are mixed in the ratio $3 : 2$ , and $5 %$ if this ratio is $2 : 3$ . The cost prices, per $kg$ , of $A$ and $B$ are in the ratio

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Important Questions on Arithmetic

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IMPORTANT

Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 6

20 %

ethanol solution is mixed with another ethanol solution, say, S of unknown concentration in the proportion

1 : 3

by volume. This mixture is then mixed with an equal volume of

20 %

ethanol solution. If the resultant mixture is a

31 . 25 %

ethanol solution, then the unknown concentration of S is

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 7

A jar contains a mixture of

175 ml

water and

700 ml

alcohol. Gopal takes out

10 %

of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 8

The strength of a salt solution is

p %

100 ml

of the solution contains p grams of salt. If three salt solutions A, B, C are mixed in the proportion

1 : 2 : 3,

then the resulting solution has strength

20 %

. If instead the proportion is

3 : 2 : 1

, then the resulting solution has strength

30 %

. A fourth solution, D, is produced by mixing B and C in the ratio

2 : 7

. The ratio of the strength of D to that of A is

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 9

The scores of Amal and Bimal in an examination are in the ratio

11 : 14

. After an appeal, their scores increase by the same amount and their new scores are in the ratio

47 : 56 .

The ratio ofBimal's new score to that of his original score is

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 10

There are two drums, each containing a mixture of paints

A

and

B

. In drum

1, A

and

B

are in the ratio

18 : 7

. The mixtures from drums

1

and

2

are mixed in the ratio

3 : 4

and in this final mixture,

A

and

B

are in the ratio

13 : 7 .

In drum

2

, then A and B were in the ratio

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 11

Points

A, P, Q

and

B

lie on the same line such that

P, Q

and

B

are, respectively,

100 km, 200 km

and

300 km

away from A. Cars

1

and

2

leave A at the same time and move towards B. Simultaneously, car

3

leaves

B

and moves towards

A

. Car

3

meets Car

1

Q

, and Car

2

P

. If each car is moving in uniform speed, then the ratio of the speed of car

2

to that of car

1

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 12

Suppose

C 1, C 2, C 3, C 4,

and

C 5

are five companies. The profits made by

Cl, C 2,

and

C 3

are in the ratio

9 : 10 : 8

while the profits made by

C 2, C 4,

and

C 5

are in the ratio

18 : 19 : 20 .

C 5

has made a profit of

र 19

crore more than

Cl,

then the total profit (in

र

) made by all five companies is:

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Quantitative Aptitude for the CAT>Chapter 2 - Arithmetic>Practice Exercises>Q 14

Bottle

1

contains a mixture of milk and water in

7 : 2

ratio and Bottle

2

contains a mixture of milk and water in

9 : 4

ratio. In what ratio of volumes should the liquids in Bottle

1

and Bottle

2

be combined to obtain a mixture of milk and water in

3 : 1

ratio?

Two types of tea, A and B, are mixed and then sold at ₹ 40 per kg. The profit is 10%if A and B are mixed in the ratio 3: 2, and 5% if this ratio is 2: 3. The cost prices, per kg, of A and B are in the ratio

Important Questions on Arithmetic

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Two types of tea, $A$ and $B$ , are mixed and then sold at $₹ 40$ per $kg$ . The profit is $10 %$ if $A$ and $B$ are mixed in the ratio $3 : 2$ , and $5 %$ if this ratio is $2 : 3$ . The cost prices, per $kg$ , of $A$ and $B$ are in the ratio